3.3: Difference between revisions

Latest revision as of 11:02, 28 June 2021

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
3.3#Ex3	${\displaystyle{\displaystyle n_{0}=-\tfrac{1}{2}(n-\sigma)}}$ `n_{0} = -\tfrac{1}{2}(n-\sigma)`		n[0] = -(1)/(2)*(n - sigma)	Subscript[n, 0] == -Divide[1,2]*(n - \[Sigma])	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex4	${\displaystyle{\displaystyle n_{1}=\tfrac{1}{2}(n+\sigma)}}$ `n_{1} = \tfrac{1}{2}(n+\sigma)`		n[1] = (1)/(2)*(n + sigma)	Subscript[n, 1] == Divide[1,2]*(n + \[Sigma])	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E9	${\displaystyle{\displaystyle\sigma=\tfrac{1}{2}(1-(-1)^{n})}}$ `\sigma = \tfrac{1}{2}(1-(-1)^{n})`		sigma = (1)/(2)*(1 -(- 1)^(n))	\[Sigma] == Divide[1,2]*(1 -(- 1)^(n))	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E14	${\displaystyle{\displaystyle f_{t}=(1-t)f_{0}+tf_{1}+R_{1,t}}}$ `f_{t} = (1-t)f_{0}+tf_{1}+R_{1,t}`	${\displaystyle{\displaystyle 0<t,t<1}}$	f[t] = (1 - t)f[0]+ tf[1]+ R[1 , t]	Subscript[f, t] == (1 - t)Subscript[f, 0]+ tSubscript[f, 1]+ Subscript[R, 1 , t]	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E15	${\displaystyle{\displaystyle c_{1}=\tfrac{1}{8}}}$ `c_{1} = \tfrac{1}{8}`	${\displaystyle{\displaystyle 0<t,t<1}}$	c[1] = (1)/(8)	Subscript[c, 1] == Divide[1,8]	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E16	${\displaystyle{\displaystyle f_{t}=\sum_{k=-1}^{1}A_{k}^{2}f_{k}+R_{2,t}}}$ `f_{t} = \sum_{k=-1}^{1}A_{k}^{2}f_{k}+R_{2,t}`	${\displaystyle{\displaystyle\left\|t\right\|<1}}$	f[t] = sum((A[k])^(2)*f[k], k = - 1..1)+ R[2 , t]	Subscript[f, t] == Sum[(Subscript[A, k])^(2)*Subscript[f, k], {k, - 1, 1}, GenerateConditions->None]+ Subscript[R, 2 , t]	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex5	${\displaystyle{\displaystyle A_{-1}^{2}=\tfrac{1}{2}t(t-1)}}$ `A_{-1}^{2} = \tfrac{1}{2}t(t-1)`		(A[- 1])^(2) = (1)/(2)t(t - 1)	(Subscript[A, - 1])^(2) == Divide[1,2]t(t - 1)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex6	${\displaystyle{\displaystyle A_{0}^{2}=1-t^{2}}}$ `A_{0}^{2} = 1-t^{2}`		(A[0])^(2) = 1 - (t)^(2)	(Subscript[A, 0])^(2) == 1 - (t)^(2)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex7	${\displaystyle{\displaystyle A_{1}^{2}=\tfrac{1}{2}t(t+1)}}$ `A_{1}^{2} = \tfrac{1}{2}t(t+1)`		(A[1])^(2) = (1)/(2)t(t + 1)	(Subscript[A, 1])^(2) == Divide[1,2]t(t + 1)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E18	${\displaystyle{\displaystyle c_{2}=1/(9\sqrt{3})}}$ `c_{2} = 1/(9\sqrt{3})`	${\displaystyle{\displaystyle\left\|t\right\|<1}}$	c[2] = 1/(9*sqrt(3))	Subscript[c, 2] == 1/(9*Sqrt[3])	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E19	${\displaystyle{\displaystyle f_{t}=\sum_{k=-1}^{2}A_{k}^{3}f_{k}+R_{3,t}}}$ `f_{t} = \sum_{k=-1}^{2}A_{k}^{3}f_{k}+R_{3,t}`	${\displaystyle{\displaystyle-1<t,t<2}}$	f[t] = sum((A[k])^(3)*f[k], k = - 1..2)+ R[3 , t]	Subscript[f, t] == Sum[(Subscript[A, k])^(3)*Subscript[f, k], {k, - 1, 2}, GenerateConditions->None]+ Subscript[R, 3 , t]	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex8	${\displaystyle{\displaystyle A_{-1}^{3}=-\tfrac{1}{6}t(t-1)(t-2)}}$ `A_{-1}^{3} = -\tfrac{1}{6}t(t-1)(t-2)`		(A[- 1])^(3) = -(1)/(6)t(t - 1)*(t - 2)	(Subscript[A, - 1])^(3) == -Divide[1,6]t(t - 1)*(t - 2)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex9	${\displaystyle{\displaystyle A_{0}^{3}=\tfrac{1}{2}(t^{2}-1)(t-2)}}$ `A_{0}^{3} = \tfrac{1}{2}(t^{2}-1)(t-2)`		(A[0])^(3) = (1)/(2)((t)^(2)- 1)(t - 2)	(Subscript[A, 0])^(3) == Divide[1,2]((t)^(2)- 1)(t - 2)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex10	${\displaystyle{\displaystyle A_{1}^{3}=-\tfrac{1}{2}t(t+1)(t-2)}}$ `A_{1}^{3} = -\tfrac{1}{2}t(t+1)(t-2)`		(A[1])^(3) = -(1)/(2)t(t + 1)*(t - 2)	(Subscript[A, 1])^(3) == -Divide[1,2]t(t + 1)*(t - 2)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex11	${\displaystyle{\displaystyle A_{2}^{3}=\tfrac{1}{6}t(t^{2}-1)}}$ `A_{2}^{3} = \tfrac{1}{6}t(t^{2}-1)`		(A[2])^(3) = (1)/(6)t((t)^(2)- 1)	(Subscript[A, 2])^(3) == Divide[1,6]t((t)^(2)- 1)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E22	${\displaystyle{\displaystyle f_{t}=\sum_{k=-2}^{2}A_{k}^{4}f_{k}+R_{4,t}}}$ `f_{t} = \sum_{k=-2}^{2}A_{k}^{4}f_{k}+R_{4,t}`	${\displaystyle{\displaystyle\left\|t\right\|<2}}$	f[t] = sum((A[k])^(4)*f[k], k = - 2..2)+ R[4 , t]	Subscript[f, t] == Sum[(Subscript[A, k])^(4)*Subscript[f, k], {k, - 2, 2}, GenerateConditions->None]+ Subscript[R, 4 , t]	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex12	${\displaystyle{\displaystyle A_{-2}^{4}=\tfrac{1}{24}t(t^{2}-1)(t-2)}}$ `A_{-2}^{4} = \tfrac{1}{24}t(t^{2}-1)(t-2)`		(A[- 2])^(4) = (1)/(24)t((t)^(2)- 1)*(t - 2)	(Subscript[A, - 2])^(4) == Divide[1,24]t((t)^(2)- 1)*(t - 2)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex13	${\displaystyle{\displaystyle A_{-1}^{4}=-\tfrac{1}{6}t(t-1)(t^{2}-4)}}$ `A_{-1}^{4} = -\tfrac{1}{6}t(t-1)(t^{2}-4)`		(A[- 1])^(4) = -(1)/(6)t(t - 1)*((t)^(2)- 4)	(Subscript[A, - 1])^(4) == -Divide[1,6]t(t - 1)*((t)^(2)- 4)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex14	${\displaystyle{\displaystyle A_{0}^{4}=\tfrac{1}{4}(t^{2}-1)(t^{2}-4)}}$ `A_{0}^{4} = \tfrac{1}{4}(t^{2}-1)(t^{2}-4)`		(A[0])^(4) = (1)/(4)((t)^(2)- 1)((t)^(2)- 4)	(Subscript[A, 0])^(4) == Divide[1,4]((t)^(2)- 1)((t)^(2)- 4)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex15	${\displaystyle{\displaystyle A_{1}^{4}=-\tfrac{1}{6}t(t+1)(t^{2}-4)}}$ `A_{1}^{4} = -\tfrac{1}{6}t(t+1)(t^{2}-4)`		(A[1])^(4) = -(1)/(6)t(t + 1)*((t)^(2)- 4)	(Subscript[A, 1])^(4) == -Divide[1,6]t(t + 1)*((t)^(2)- 4)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex16	${\displaystyle{\displaystyle A_{2}^{4}=\tfrac{1}{24}t(t^{2}-1)(t+2)}}$ `A_{2}^{4} = \tfrac{1}{24}t(t^{2}-1)(t+2)`		(A[2])^(4) = (1)/(24)t((t)^(2)- 1)*(t + 2)	(Subscript[A, 2])^(4) == Divide[1,24]t((t)^(2)- 1)*(t + 2)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E25	${\displaystyle{\displaystyle f_{t}=\sum_{k=-2}^{3}A_{k}^{5}f_{k}+R_{5,t}}}$ `f_{t} = \sum_{k=-2}^{3}A_{k}^{5}f_{k}+R_{5,t}`	${\displaystyle{\displaystyle-2<t,t<3}}$	f[t] = sum((A[k])^(5)*f[k], k = - 2..3)+ R[5 , t]	Subscript[f, t] == Sum[(Subscript[A, k])^(5)*Subscript[f, k], {k, - 2, 3}, GenerateConditions->None]+ Subscript[R, 5 , t]	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex17	${\displaystyle{\displaystyle A_{-2}^{5}=-\tfrac{1}{120}t(t^{2}-1)(t-2)(t-3)}}$ `A_{-2}^{5} = -\tfrac{1}{120}t(t^{2}-1)(t-2)(t-3)`		(A[- 2])^(5) = -(1)/(120)t((t)^(2)- 1)(t - 2)(t - 3)	(Subscript[A, - 2])^(5) == -Divide[1,120]t((t)^(2)- 1)(t - 2)(t - 3)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex18	${\displaystyle{\displaystyle A_{-1}^{5}=\tfrac{1}{24}t(t-1)(t^{2}-4)(t-3)}}$ `A_{-1}^{5} = \tfrac{1}{24}t(t-1)(t^{2}-4)(t-3)`		(A[- 1])^(5) = (1)/(24)t(t - 1)((t)^(2)- 4)(t - 3)	(Subscript[A, - 1])^(5) == Divide[1,24]t(t - 1)((t)^(2)- 4)(t - 3)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex19	${\displaystyle{\displaystyle A_{0}^{5}=-\tfrac{1}{12}(t^{2}-1)(t^{2}-4)(t-3)}}$ `A_{0}^{5} = -\tfrac{1}{12}(t^{2}-1)(t^{2}-4)(t-3)`		(A[0])^(5) = -(1)/(12)((t)^(2)- 1)((t)^(2)- 4)*(t - 3)	(Subscript[A, 0])^(5) == -Divide[1,12]((t)^(2)- 1)((t)^(2)- 4)*(t - 3)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex20	${\displaystyle{\displaystyle A_{1}^{5}=\tfrac{1}{12}t(t+1)(t^{2}-4)(t-3)}}$ `A_{1}^{5} = \tfrac{1}{12}t(t+1)(t^{2}-4)(t-3)`		(A[1])^(5) = (1)/(12)t(t + 1)((t)^(2)- 4)(t - 3)	(Subscript[A, 1])^(5) == Divide[1,12]t(t + 1)((t)^(2)- 4)(t - 3)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex21	${\displaystyle{\displaystyle A_{2}^{5}=-\tfrac{1}{24}t(t^{2}-1)(t+2)(t-3)}}$ `A_{2}^{5} = -\tfrac{1}{24}t(t^{2}-1)(t+2)(t-3)`		(A[2])^(5) = -(1)/(24)t((t)^(2)- 1)(t + 2)(t - 3)	(Subscript[A, 2])^(5) == -Divide[1,24]t((t)^(2)- 1)(t + 2)(t - 3)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex22	${\displaystyle{\displaystyle A_{3}^{5}=\tfrac{1}{120}t(t^{2}-1)(t^{2}-4)}}$ `A_{3}^{5} = \tfrac{1}{120}t(t^{2}-1)(t^{2}-4)`		(A[3])^(5) = (1)/(120)t((t)^(2)- 1)*((t)^(2)- 4)	(Subscript[A, 3])^(5) == Divide[1,120]t((t)^(2)- 1)*((t)^(2)- 4)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E28	${\displaystyle{\displaystyle f_{t}=\sum_{k=-3}^{3}A_{k}^{6}f_{k}+R_{6,t}}}$ `f_{t} = \sum_{k=-3}^{3}A_{k}^{6}f_{k}+R_{6,t}`	${\displaystyle{\displaystyle\left\|t\right\|<3}}$	f[t] = sum((A[k])^(6)*f[k], k = - 3..3)+ R[6 , t]	Subscript[f, t] == Sum[(Subscript[A, k])^(6)*Subscript[f, k], {k, - 3, 3}, GenerateConditions->None]+ Subscript[R, 6 , t]	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex23	${\displaystyle{\displaystyle A_{-3}^{6}=\tfrac{1}{720}t(t^{2}-1)(t-3)(t^{2}-4)}}$ `A_{-3}^{6} = \tfrac{1}{720}t(t^{2}-1)(t-3)(t^{2}-4)`		(A[- 3])^(6) = (1)/(720)t((t)^(2)- 1)(t - 3)((t)^(2)- 4)	(Subscript[A, - 3])^(6) == Divide[1,720]t((t)^(2)- 1)(t - 3)((t)^(2)- 4)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex24	${\displaystyle{\displaystyle A_{-2}^{6}=-\tfrac{1}{120}t(t^{2}-1)(t-2)(t^{2}-9% )}}$ `A_{-2}^{6} = -\tfrac{1}{120}t(t^{2}-1)(t-2)(t^{2}-9)`		(A[- 2])^(6) = -(1)/(120)t((t)^(2)- 1)(t - 2)((t)^(2)- 9)	(Subscript[A, - 2])^(6) == -Divide[1,120]t((t)^(2)- 1)(t - 2)((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex25	${\displaystyle{\displaystyle A_{-1}^{6}=\tfrac{1}{48}t(t-1)(t^{2}-4)(t^{2}-9)}}$ `A_{-1}^{6} = \tfrac{1}{48}t(t-1)(t^{2}-4)(t^{2}-9)`		(A[- 1])^(6) = (1)/(48)t(t - 1)((t)^(2)- 4)((t)^(2)- 9)	(Subscript[A, - 1])^(6) == Divide[1,48]t(t - 1)((t)^(2)- 4)((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex26	${\displaystyle{\displaystyle A_{0}^{6}=-\tfrac{1}{36}(t^{2}-1)(t^{2}-4)(t^{2}-% 9)}}$ `A_{0}^{6} = -\tfrac{1}{36}(t^{2}-1)(t^{2}-4)(t^{2}-9)`		(A[0])^(6) = -(1)/(36)((t)^(2)- 1)((t)^(2)- 4)*((t)^(2)- 9)	(Subscript[A, 0])^(6) == -Divide[1,36]((t)^(2)- 1)((t)^(2)- 4)*((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex27	${\displaystyle{\displaystyle A_{1}^{6}=\tfrac{1}{48}t(t+1)(t^{2}-4)(t^{2}-9)}}$ `A_{1}^{6} = \tfrac{1}{48}t(t+1)(t^{2}-4)(t^{2}-9)`		(A[1])^(6) = (1)/(48)t(t + 1)((t)^(2)- 4)((t)^(2)- 9)	(Subscript[A, 1])^(6) == Divide[1,48]t(t + 1)((t)^(2)- 4)((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex28	${\displaystyle{\displaystyle A_{2}^{6}=-\tfrac{1}{120}t(t^{2}-1)(t+2)(t^{2}-9)}}$ `A_{2}^{6} = -\tfrac{1}{120}t(t^{2}-1)(t+2)(t^{2}-9)`		(A[2])^(6) = -(1)/(120)t((t)^(2)- 1)(t + 2)((t)^(2)- 9)	(Subscript[A, 2])^(6) == -Divide[1,120]t((t)^(2)- 1)(t + 2)((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex29	${\displaystyle{\displaystyle A_{3}^{6}=\tfrac{1}{720}t(t^{2}-1)(t+3)(t^{2}-4)}}$ `A_{3}^{6} = \tfrac{1}{720}t(t^{2}-1)(t+3)(t^{2}-4)`		(A[3])^(6) = (1)/(720)t((t)^(2)- 1)(t + 3)((t)^(2)- 4)	(Subscript[A, 3])^(6) == Divide[1,720]t((t)^(2)- 1)(t + 3)((t)^(2)- 4)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E31	${\displaystyle{\displaystyle f_{t}=\sum_{k=-3}^{4}A_{k}^{7}f_{k}+R_{7,t}}}$ `f_{t} = \sum_{k=-3}^{4}A_{k}^{7}f_{k}+R_{7,t}`	${\displaystyle{\displaystyle-3<t,t<4}}$	f[t] = sum((A[k])^(7)*f[k], k = - 3..4)+ R[7 , t]	Subscript[f, t] == Sum[(Subscript[A, k])^(7)*Subscript[f, k], {k, - 3, 4}, GenerateConditions->None]+ Subscript[R, 7 , t]	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex30	${\displaystyle{\displaystyle A_{-3}^{7}=-\tfrac{1}{5040}t(t^{2}-1)(t-3)(t-4)(t% ^{2}-4)}}$ `A_{-3}^{7} = -\tfrac{1}{5040}t(t^{2}-1)(t-3)(t-4)(t^{2}-4)`		(A[- 3])^(7) = -(1)/(5040)t((t)^(2)- 1)(t - 3)(t - 4)*((t)^(2)- 4)	(Subscript[A, - 3])^(7) == -Divide[1,5040]t((t)^(2)- 1)(t - 3)(t - 4)*((t)^(2)- 4)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex31	${\displaystyle{\displaystyle A_{-2}^{7}=\tfrac{1}{720}t(t^{2}-1)(t-2)(t-4)(t^{% 2}-9)}}$ `A_{-2}^{7} = \tfrac{1}{720}t(t^{2}-1)(t-2)(t-4)(t^{2}-9)`		(A[- 2])^(7) = (1)/(720)t((t)^(2)- 1)(t - 2)(t - 4)*((t)^(2)- 9)	(Subscript[A, - 2])^(7) == Divide[1,720]t((t)^(2)- 1)(t - 2)(t - 4)*((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex32	${\displaystyle{\displaystyle A_{-1}^{7}=-\tfrac{1}{240}t(t-1)(t-4)(t^{2}-4)(t^% {2}-9)}}$ `A_{-1}^{7} = -\tfrac{1}{240}t(t-1)(t-4)(t^{2}-4)(t^{2}-9)`		(A[- 1])^(7) = -(1)/(240)t(t - 1)(t - 4)((t)^(2)- 4)*((t)^(2)- 9)	(Subscript[A, - 1])^(7) == -Divide[1,240]t(t - 1)(t - 4)((t)^(2)- 4)*((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex33	${\displaystyle{\displaystyle A_{0}^{7}=\tfrac{1}{144}(t^{2}-1)(t-4)(t^{2}-4)(t% ^{2}-9)}}$ `A_{0}^{7} = \tfrac{1}{144}(t^{2}-1)(t-4)(t^{2}-4)(t^{2}-9)`		(A[0])^(7) = (1)/(144)((t)^(2)- 1)(t - 4)((t)^(2)- 4)((t)^(2)- 9)	(Subscript[A, 0])^(7) == Divide[1,144]((t)^(2)- 1)(t - 4)((t)^(2)- 4)((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex34	${\displaystyle{\displaystyle A_{1}^{7}=-\tfrac{1}{144}t(t+1)(t-4)(t^{2}-4)(t^{% 2}-9)}}$ `A_{1}^{7} = -\tfrac{1}{144}t(t+1)(t-4)(t^{2}-4)(t^{2}-9)`		(A[1])^(7) = -(1)/(144)t(t + 1)(t - 4)((t)^(2)- 4)*((t)^(2)- 9)	(Subscript[A, 1])^(7) == -Divide[1,144]t(t + 1)(t - 4)((t)^(2)- 4)*((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex35	${\displaystyle{\displaystyle A_{2}^{7}=\tfrac{1}{240}t(t^{2}-1)(t+2)(t-4)(t^{2% }-9)}}$ `A_{2}^{7} = \tfrac{1}{240}t(t^{2}-1)(t+2)(t-4)(t^{2}-9)`		(A[2])^(7) = (1)/(240)t((t)^(2)- 1)(t + 2)(t - 4)*((t)^(2)- 9)	(Subscript[A, 2])^(7) == Divide[1,240]t((t)^(2)- 1)(t + 2)(t - 4)*((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex36	${\displaystyle{\displaystyle A_{3}^{7}=-\tfrac{1}{720}t(t^{2}-1)(t+3)(t-4)(t^{% 2}-4)}}$ `A_{3}^{7} = -\tfrac{1}{720}t(t^{2}-1)(t+3)(t-4)(t^{2}-4)`		(A[3])^(7) = -(1)/(720)t((t)^(2)- 1)(t + 3)(t - 4)*((t)^(2)- 4)	(Subscript[A, 3])^(7) == -Divide[1,720]t((t)^(2)- 1)(t + 3)(t - 4)*((t)^(2)- 4)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex37	${\displaystyle{\displaystyle A_{4}^{7}=\tfrac{1}{5040}t(t^{2}-1)(t^{2}-4)(t^{2% }-9)}}$ `A_{4}^{7} = \tfrac{1}{5040}t(t^{2}-1)(t^{2}-4)(t^{2}-9)`		(A[4])^(7) = (1)/(5040)t((t)^(2)- 1)((t)^(2)- 4)((t)^(2)- 9)	(Subscript[A, 4])^(7) == Divide[1,5040]t((t)^(2)- 1)((t)^(2)- 4)((t)^(2)- 9)	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex38	${\displaystyle{\displaystyle f=f_{0}}}$ `f = f_{0}`		f = f[0]	f == Subscript[f, 0]	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex39	${\displaystyle{\displaystyle f=({[z_{1}]}f-{[z_{0}]}f)/(z_{1}-z_{0})}}$ `f = ({[z_{1}]}f-{[z_{0}]}f)/(z_{1}-z_{0})`		f = ((z[1])f -(z[0])f)/(z[1]- z[0])	f == ((Subscript[z, 1])f -(Subscript[z, 0])f)/(Subscript[z, 1]- Subscript[z, 0])	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3#Ex40	${\displaystyle{\displaystyle f=({[z_{1},z_{2}]}f-{[z_{0},z_{1}]}f)/(z_{2}-z_{0% })}}$ `f = ({[z_{1},z_{2}]}f-{[z_{0},z_{1}]}f)/(z_{2}-z_{0})`		f = ([z[1], z[2]]f -[z[0], z[1]]f)/(z[2]- z[0])	f == ([Subscript[z, 1], Subscript[z, 2]]f -[Subscript[z, 0], Subscript[z, 1]]f)/(Subscript[z, 2]- Subscript[z, 0])	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E39	${\displaystyle{\displaystyle x(f)=[f_{0}]x+(f-f_{0})[f_{0},f_{1}]x+(f-f_{0})(f% -f_{1})[f_{0},f_{1},f_{2}]x}}$ `x(f) = [f_{0}]x+(f-f_{0})[f_{0},f_{1}]x+(f-f_{0})(f-f_{1})[f_{0},f_{1},f_{2}]x`		x(f) = (f[0])x(+)(f - f[0])[f[0], f[1]]x(+)(f - f[0])(f - f[1])[f[0], f[1], f[2]]x	x[f] == (Subscript[f, 0])x[+](f - Subscript[f, 0])[Subscript[f, 0], Subscript[f, 1]]x[+](f - Subscript[f, 0])(f - Subscript[f, 1])[Subscript[f, 0], Subscript[f, 1], Subscript[f, 2]]x	Skipped - no semantic math	Skipped - no semantic math	-	-
3.3.E40	${\displaystyle{\displaystyle x=-2.2+1.44011\;1973(f-0.09614\;53780)+0.08865\;8% 5832\(f-0.09614\;53780)(f-0.02670\;63331)}}$ `x = -2.2+1.44011\;1973(f-0.09614\;53780)+0.08865\;85832\(f-0.09614\;53780)(f-0.02670\;63331)`		x = - 2.2 + 1.440111973(f - 0.0961453780)+ 0.0886585832 (f - 0.0961453780)*(f - 0.0267063331)	x == - 2.2 + 1.440111973(f - 0.0961453780)+ 0.0886585832 (f - 0.0961453780)*(f - 0.0267063331)	Skipped - no semantic math	Skipped - no semantic math	-	-

@@ Line 14: / Line 14: @@
 ! scope="col" style="position: sticky; top: 0;" | Numeric<br>Mathematica
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex3 3.3#Ex3] || [[Item:Q1113|<math>n_{0} = -\tfrac{1}{2}(n-\sigma)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>n_{0} = -\tfrac{1}{2}(n-\sigma)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">n[0] = -(1)/(2)*(n - sigma)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[n, 0] == -Divide[1,2]*(n - \[Sigma])</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex3 3.3#Ex3] || <math qid="Q1113">n_{0} = -\tfrac{1}{2}(n-\sigma)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>n_{0} = -\tfrac{1}{2}(n-\sigma)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">n[0] = -(1)/(2)*(n - sigma)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[n, 0] == -Divide[1,2]*(n - \[Sigma])</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex4 3.3#Ex4] || [[Item:Q1114|<math>n_{1} = \tfrac{1}{2}(n+\sigma)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>n_{1} = \tfrac{1}{2}(n+\sigma)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">n[1] = (1)/(2)*(n + sigma)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[n, 1] == Divide[1,2]*(n + \[Sigma])</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex4 3.3#Ex4] || <math qid="Q1114">n_{1} = \tfrac{1}{2}(n+\sigma)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>n_{1} = \tfrac{1}{2}(n+\sigma)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">n[1] = (1)/(2)*(n + sigma)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[n, 1] == Divide[1,2]*(n + \[Sigma])</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E9 3.3.E9] || [[Item:Q1115|<math>\sigma = \tfrac{1}{2}(1-(-1)^{n})</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\sigma = \tfrac{1}{2}(1-(-1)^{n})</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">sigma = (1)/(2)*(1 -(- 1)^(n))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Sigma] == Divide[1,2]*(1 -(- 1)^(n))</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E9 3.3.E9] || <math qid="Q1115">\sigma = \tfrac{1}{2}(1-(-1)^{n})</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>\sigma = \tfrac{1}{2}(1-(-1)^{n})</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">sigma = (1)/(2)*(1 -(- 1)^(n))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">\[Sigma] == Divide[1,2]*(1 -(- 1)^(n))</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E14 3.3.E14] || [[Item:Q1120|<math>f_{t} = (1-t)f_{0}+tf_{1}+R_{1,t}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = (1-t)f_{0}+tf_{1}+R_{1,t}</syntaxhighlight> || <math>0 < t, t < 1</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = (1 - t)*f[0]+ t*f[1]+ R[1 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == (1 - t)*Subscript[f, 0]+ t*Subscript[f, 1]+ Subscript[R, 1 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E14 3.3.E14] || <math qid="Q1120">f_{t} = (1-t)f_{0}+tf_{1}+R_{1,t}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = (1-t)f_{0}+tf_{1}+R_{1,t}</syntaxhighlight> || <math>0 < t, t < 1</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = (1 - t)*f[0]+ t*f[1]+ R[1 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == (1 - t)*Subscript[f, 0]+ t*Subscript[f, 1]+ Subscript[R, 1 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E15 3.3.E15] || [[Item:Q1121|<math>c_{1} = \tfrac{1}{8}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{1} = \tfrac{1}{8}</syntaxhighlight> || <math>0 < t, t < 1</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[1] = (1)/(8)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 1] == Divide[1,8]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E15 3.3.E15] || <math qid="Q1121">c_{1} = \tfrac{1}{8}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{1} = \tfrac{1}{8}</syntaxhighlight> || <math>0 < t, t < 1</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[1] = (1)/(8)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 1] == Divide[1,8]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E16 3.3.E16] || [[Item:Q1122|<math>f_{t} = \sum_{k=-1}^{1}A_{k}^{2}f_{k}+R_{2,t}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-1}^{1}A_{k}^{2}f_{k}+R_{2,t}</syntaxhighlight> || <math>\abs{t} < 1</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(2)*f[k], k = - 1..1)+ R[2 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(2)*Subscript[f, k], {k, - 1, 1}, GenerateConditions->None]+ Subscript[R, 2 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E16 3.3.E16] || <math qid="Q1122">f_{t} = \sum_{k=-1}^{1}A_{k}^{2}f_{k}+R_{2,t}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-1}^{1}A_{k}^{2}f_{k}+R_{2,t}</syntaxhighlight> || <math>\abs{t} < 1</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(2)*f[k], k = - 1..1)+ R[2 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(2)*Subscript[f, k], {k, - 1, 1}, GenerateConditions->None]+ Subscript[R, 2 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex5 3.3#Ex5] || [[Item:Q1123|<math>A_{-1}^{2} = \tfrac{1}{2}t(t-1)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{2} = \tfrac{1}{2}t(t-1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(2) = (1)/(2)*t*(t - 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(2) == Divide[1,2]*t*(t - 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex5 3.3#Ex5] || <math qid="Q1123">A_{-1}^{2} = \tfrac{1}{2}t(t-1)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{2} = \tfrac{1}{2}t(t-1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(2) = (1)/(2)*t*(t - 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(2) == Divide[1,2]*t*(t - 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex6 3.3#Ex6] || [[Item:Q1124|<math>A_{0}^{2} = 1-t^{2}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{2} = 1-t^{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(2) = 1 - (t)^(2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(2) == 1 - (t)^(2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex6 3.3#Ex6] || <math qid="Q1124">A_{0}^{2} = 1-t^{2}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{2} = 1-t^{2}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(2) = 1 - (t)^(2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(2) == 1 - (t)^(2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex7 3.3#Ex7] || [[Item:Q1125|<math>A_{1}^{2} = \tfrac{1}{2}t(t+1)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{2} = \tfrac{1}{2}t(t+1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(2) = (1)/(2)*t*(t + 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(2) == Divide[1,2]*t*(t + 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex7 3.3#Ex7] || <math qid="Q1125">A_{1}^{2} = \tfrac{1}{2}t(t+1)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{2} = \tfrac{1}{2}t(t+1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(2) = (1)/(2)*t*(t + 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(2) == Divide[1,2]*t*(t + 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E18 3.3.E18] || [[Item:Q1126|<math>c_{2} = 1/(9\sqrt{3})</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{2} = 1/(9\sqrt{3})</syntaxhighlight> || <math>\abs{t} < 1</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[2] = 1/(9*sqrt(3))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 2] == 1/(9*Sqrt[3])</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E18 3.3.E18] || <math qid="Q1126">c_{2} = 1/(9\sqrt{3})</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>c_{2} = 1/(9\sqrt{3})</syntaxhighlight> || <math>\abs{t} < 1</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">c[2] = 1/(9*sqrt(3))</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[c, 2] == 1/(9*Sqrt[3])</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E19 3.3.E19] || [[Item:Q1127|<math>f_{t} = \sum_{k=-1}^{2}A_{k}^{3}f_{k}+R_{3,t}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-1}^{2}A_{k}^{3}f_{k}+R_{3,t}</syntaxhighlight> || <math>-1 < t, t < 2</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(3)*f[k], k = - 1..2)+ R[3 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(3)*Subscript[f, k], {k, - 1, 2}, GenerateConditions->None]+ Subscript[R, 3 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E19 3.3.E19] || <math qid="Q1127">f_{t} = \sum_{k=-1}^{2}A_{k}^{3}f_{k}+R_{3,t}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-1}^{2}A_{k}^{3}f_{k}+R_{3,t}</syntaxhighlight> || <math>-1 < t, t < 2</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(3)*f[k], k = - 1..2)+ R[3 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(3)*Subscript[f, k], {k, - 1, 2}, GenerateConditions->None]+ Subscript[R, 3 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex8 3.3#Ex8] || [[Item:Q1128|<math>A_{-1}^{3} = -\tfrac{1}{6}t(t-1)(t-2)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{3} = -\tfrac{1}{6}t(t-1)(t-2)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(3) = -(1)/(6)*t*(t - 1)*(t - 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(3) == -Divide[1,6]*t*(t - 1)*(t - 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex8 3.3#Ex8] || <math qid="Q1128">A_{-1}^{3} = -\tfrac{1}{6}t(t-1)(t-2)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{3} = -\tfrac{1}{6}t(t-1)(t-2)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(3) = -(1)/(6)*t*(t - 1)*(t - 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(3) == -Divide[1,6]*t*(t - 1)*(t - 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex9 3.3#Ex9] || [[Item:Q1129|<math>A_{0}^{3} = \tfrac{1}{2}(t^{2}-1)(t-2)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{3} = \tfrac{1}{2}(t^{2}-1)(t-2)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(3) = (1)/(2)*((t)^(2)- 1)*(t - 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(3) == Divide[1,2]*((t)^(2)- 1)*(t - 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex9 3.3#Ex9] || <math qid="Q1129">A_{0}^{3} = \tfrac{1}{2}(t^{2}-1)(t-2)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{3} = \tfrac{1}{2}(t^{2}-1)(t-2)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(3) = (1)/(2)*((t)^(2)- 1)*(t - 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(3) == Divide[1,2]*((t)^(2)- 1)*(t - 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex10 3.3#Ex10] || [[Item:Q1130|<math>A_{1}^{3} = -\tfrac{1}{2}t(t+1)(t-2)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{3} = -\tfrac{1}{2}t(t+1)(t-2)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(3) = -(1)/(2)*t*(t + 1)*(t - 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(3) == -Divide[1,2]*t*(t + 1)*(t - 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex10 3.3#Ex10] || <math qid="Q1130">A_{1}^{3} = -\tfrac{1}{2}t(t+1)(t-2)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{3} = -\tfrac{1}{2}t(t+1)(t-2)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(3) = -(1)/(2)*t*(t + 1)*(t - 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(3) == -Divide[1,2]*t*(t + 1)*(t - 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex11 3.3#Ex11] || [[Item:Q1131|<math>A_{2}^{3} = \tfrac{1}{6}t(t^{2}-1)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{2}^{3} = \tfrac{1}{6}t(t^{2}-1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[2])^(3) = (1)/(6)*t*((t)^(2)- 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 2])^(3) == Divide[1,6]*t*((t)^(2)- 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex11 3.3#Ex11] || <math qid="Q1131">A_{2}^{3} = \tfrac{1}{6}t(t^{2}-1)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{2}^{3} = \tfrac{1}{6}t(t^{2}-1)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[2])^(3) = (1)/(6)*t*((t)^(2)- 1)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 2])^(3) == Divide[1,6]*t*((t)^(2)- 1)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E22 3.3.E22] || [[Item:Q1133|<math>f_{t} = \sum_{k=-2}^{2}A_{k}^{4}f_{k}+R_{4,t}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-2}^{2}A_{k}^{4}f_{k}+R_{4,t}</syntaxhighlight> || <math>\abs{t} < 2</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(4)*f[k], k = - 2..2)+ R[4 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(4)*Subscript[f, k], {k, - 2, 2}, GenerateConditions->None]+ Subscript[R, 4 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E22 3.3.E22] || <math qid="Q1133">f_{t} = \sum_{k=-2}^{2}A_{k}^{4}f_{k}+R_{4,t}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-2}^{2}A_{k}^{4}f_{k}+R_{4,t}</syntaxhighlight> || <math>\abs{t} < 2</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(4)*f[k], k = - 2..2)+ R[4 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(4)*Subscript[f, k], {k, - 2, 2}, GenerateConditions->None]+ Subscript[R, 4 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex12 3.3#Ex12] || [[Item:Q1134|<math>A_{-2}^{4} = \tfrac{1}{24}t(t^{2}-1)(t-2)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-2}^{4} = \tfrac{1}{24}t(t^{2}-1)(t-2)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 2])^(4) = (1)/(24)*t*((t)^(2)- 1)*(t - 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 2])^(4) == Divide[1,24]*t*((t)^(2)- 1)*(t - 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex12 3.3#Ex12] || <math qid="Q1134">A_{-2}^{4} = \tfrac{1}{24}t(t^{2}-1)(t-2)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-2}^{4} = \tfrac{1}{24}t(t^{2}-1)(t-2)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 2])^(4) = (1)/(24)*t*((t)^(2)- 1)*(t - 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 2])^(4) == Divide[1,24]*t*((t)^(2)- 1)*(t - 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex13 3.3#Ex13] || [[Item:Q1135|<math>A_{-1}^{4} = -\tfrac{1}{6}t(t-1)(t^{2}-4)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{4} = -\tfrac{1}{6}t(t-1)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(4) = -(1)/(6)*t*(t - 1)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(4) == -Divide[1,6]*t*(t - 1)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex13 3.3#Ex13] || <math qid="Q1135">A_{-1}^{4} = -\tfrac{1}{6}t(t-1)(t^{2}-4)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{4} = -\tfrac{1}{6}t(t-1)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(4) = -(1)/(6)*t*(t - 1)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(4) == -Divide[1,6]*t*(t - 1)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex14 3.3#Ex14] || [[Item:Q1136|<math>A_{0}^{4} = \tfrac{1}{4}(t^{2}-1)(t^{2}-4)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{4} = \tfrac{1}{4}(t^{2}-1)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(4) = (1)/(4)*((t)^(2)- 1)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(4) == Divide[1,4]*((t)^(2)- 1)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex14 3.3#Ex14] || <math qid="Q1136">A_{0}^{4} = \tfrac{1}{4}(t^{2}-1)(t^{2}-4)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{4} = \tfrac{1}{4}(t^{2}-1)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(4) = (1)/(4)*((t)^(2)- 1)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(4) == Divide[1,4]*((t)^(2)- 1)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex15 3.3#Ex15] || [[Item:Q1137|<math>A_{1}^{4} = -\tfrac{1}{6}t(t+1)(t^{2}-4)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{4} = -\tfrac{1}{6}t(t+1)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(4) = -(1)/(6)*t*(t + 1)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(4) == -Divide[1,6]*t*(t + 1)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex15 3.3#Ex15] || <math qid="Q1137">A_{1}^{4} = -\tfrac{1}{6}t(t+1)(t^{2}-4)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{4} = -\tfrac{1}{6}t(t+1)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(4) = -(1)/(6)*t*(t + 1)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(4) == -Divide[1,6]*t*(t + 1)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex16 3.3#Ex16] || [[Item:Q1138|<math>A_{2}^{4} = \tfrac{1}{24}t(t^{2}-1)(t+2)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{2}^{4} = \tfrac{1}{24}t(t^{2}-1)(t+2)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[2])^(4) = (1)/(24)*t*((t)^(2)- 1)*(t + 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 2])^(4) == Divide[1,24]*t*((t)^(2)- 1)*(t + 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex16 3.3#Ex16] || <math qid="Q1138">A_{2}^{4} = \tfrac{1}{24}t(t^{2}-1)(t+2)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{2}^{4} = \tfrac{1}{24}t(t^{2}-1)(t+2)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[2])^(4) = (1)/(24)*t*((t)^(2)- 1)*(t + 2)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 2])^(4) == Divide[1,24]*t*((t)^(2)- 1)*(t + 2)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E25 3.3.E25] || [[Item:Q1140|<math>f_{t} = \sum_{k=-2}^{3}A_{k}^{5}f_{k}+R_{5,t}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-2}^{3}A_{k}^{5}f_{k}+R_{5,t}</syntaxhighlight> || <math>-2 < t, t < 3</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(5)*f[k], k = - 2..3)+ R[5 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(5)*Subscript[f, k], {k, - 2, 3}, GenerateConditions->None]+ Subscript[R, 5 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E25 3.3.E25] || <math qid="Q1140">f_{t} = \sum_{k=-2}^{3}A_{k}^{5}f_{k}+R_{5,t}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-2}^{3}A_{k}^{5}f_{k}+R_{5,t}</syntaxhighlight> || <math>-2 < t, t < 3</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(5)*f[k], k = - 2..3)+ R[5 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(5)*Subscript[f, k], {k, - 2, 3}, GenerateConditions->None]+ Subscript[R, 5 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex17 3.3#Ex17] || [[Item:Q1141|<math>A_{-2}^{5} = -\tfrac{1}{120}t(t^{2}-1)(t-2)(t-3)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-2}^{5} = -\tfrac{1}{120}t(t^{2}-1)(t-2)(t-3)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 2])^(5) = -(1)/(120)*t*((t)^(2)- 1)*(t - 2)*(t - 3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 2])^(5) == -Divide[1,120]*t*((t)^(2)- 1)*(t - 2)*(t - 3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex17 3.3#Ex17] || <math qid="Q1141">A_{-2}^{5} = -\tfrac{1}{120}t(t^{2}-1)(t-2)(t-3)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-2}^{5} = -\tfrac{1}{120}t(t^{2}-1)(t-2)(t-3)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 2])^(5) = -(1)/(120)*t*((t)^(2)- 1)*(t - 2)*(t - 3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 2])^(5) == -Divide[1,120]*t*((t)^(2)- 1)*(t - 2)*(t - 3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex18 3.3#Ex18] || [[Item:Q1142|<math>A_{-1}^{5} = \tfrac{1}{24}t(t-1)(t^{2}-4)(t-3)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{5} = \tfrac{1}{24}t(t-1)(t^{2}-4)(t-3)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(5) = (1)/(24)*t*(t - 1)*((t)^(2)- 4)*(t - 3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(5) == Divide[1,24]*t*(t - 1)*((t)^(2)- 4)*(t - 3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex18 3.3#Ex18] || <math qid="Q1142">A_{-1}^{5} = \tfrac{1}{24}t(t-1)(t^{2}-4)(t-3)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{5} = \tfrac{1}{24}t(t-1)(t^{2}-4)(t-3)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(5) = (1)/(24)*t*(t - 1)*((t)^(2)- 4)*(t - 3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(5) == Divide[1,24]*t*(t - 1)*((t)^(2)- 4)*(t - 3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex19 3.3#Ex19] || [[Item:Q1143|<math>A_{0}^{5} = -\tfrac{1}{12}(t^{2}-1)(t^{2}-4)(t-3)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{5} = -\tfrac{1}{12}(t^{2}-1)(t^{2}-4)(t-3)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(5) = -(1)/(12)*((t)^(2)- 1)*((t)^(2)- 4)*(t - 3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(5) == -Divide[1,12]*((t)^(2)- 1)*((t)^(2)- 4)*(t - 3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex19 3.3#Ex19] || <math qid="Q1143">A_{0}^{5} = -\tfrac{1}{12}(t^{2}-1)(t^{2}-4)(t-3)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{5} = -\tfrac{1}{12}(t^{2}-1)(t^{2}-4)(t-3)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(5) = -(1)/(12)*((t)^(2)- 1)*((t)^(2)- 4)*(t - 3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(5) == -Divide[1,12]*((t)^(2)- 1)*((t)^(2)- 4)*(t - 3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex20 3.3#Ex20] || [[Item:Q1144|<math>A_{1}^{5} = \tfrac{1}{12}t(t+1)(t^{2}-4)(t-3)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{5} = \tfrac{1}{12}t(t+1)(t^{2}-4)(t-3)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(5) = (1)/(12)*t*(t + 1)*((t)^(2)- 4)*(t - 3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(5) == Divide[1,12]*t*(t + 1)*((t)^(2)- 4)*(t - 3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex20 3.3#Ex20] || <math qid="Q1144">A_{1}^{5} = \tfrac{1}{12}t(t+1)(t^{2}-4)(t-3)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{5} = \tfrac{1}{12}t(t+1)(t^{2}-4)(t-3)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(5) = (1)/(12)*t*(t + 1)*((t)^(2)- 4)*(t - 3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(5) == Divide[1,12]*t*(t + 1)*((t)^(2)- 4)*(t - 3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex21 3.3#Ex21] || [[Item:Q1145|<math>A_{2}^{5} = -\tfrac{1}{24}t(t^{2}-1)(t+2)(t-3)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{2}^{5} = -\tfrac{1}{24}t(t^{2}-1)(t+2)(t-3)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[2])^(5) = -(1)/(24)*t*((t)^(2)- 1)*(t + 2)*(t - 3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 2])^(5) == -Divide[1,24]*t*((t)^(2)- 1)*(t + 2)*(t - 3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex21 3.3#Ex21] || <math qid="Q1145">A_{2}^{5} = -\tfrac{1}{24}t(t^{2}-1)(t+2)(t-3)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{2}^{5} = -\tfrac{1}{24}t(t^{2}-1)(t+2)(t-3)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[2])^(5) = -(1)/(24)*t*((t)^(2)- 1)*(t + 2)*(t - 3)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 2])^(5) == -Divide[1,24]*t*((t)^(2)- 1)*(t + 2)*(t - 3)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex22 3.3#Ex22] || [[Item:Q1146|<math>A_{3}^{5} = \tfrac{1}{120}t(t^{2}-1)(t^{2}-4)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{3}^{5} = \tfrac{1}{120}t(t^{2}-1)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[3])^(5) = (1)/(120)*t*((t)^(2)- 1)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 3])^(5) == Divide[1,120]*t*((t)^(2)- 1)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex22 3.3#Ex22] || <math qid="Q1146">A_{3}^{5} = \tfrac{1}{120}t(t^{2}-1)(t^{2}-4)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{3}^{5} = \tfrac{1}{120}t(t^{2}-1)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[3])^(5) = (1)/(120)*t*((t)^(2)- 1)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 3])^(5) == Divide[1,120]*t*((t)^(2)- 1)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E28 3.3.E28] || [[Item:Q1148|<math>f_{t} = \sum_{k=-3}^{3}A_{k}^{6}f_{k}+R_{6,t}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-3}^{3}A_{k}^{6}f_{k}+R_{6,t}</syntaxhighlight> || <math>\abs{t} < 3</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(6)*f[k], k = - 3..3)+ R[6 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(6)*Subscript[f, k], {k, - 3, 3}, GenerateConditions->None]+ Subscript[R, 6 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E28 3.3.E28] || <math qid="Q1148">f_{t} = \sum_{k=-3}^{3}A_{k}^{6}f_{k}+R_{6,t}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-3}^{3}A_{k}^{6}f_{k}+R_{6,t}</syntaxhighlight> || <math>\abs{t} < 3</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(6)*f[k], k = - 3..3)+ R[6 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(6)*Subscript[f, k], {k, - 3, 3}, GenerateConditions->None]+ Subscript[R, 6 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex23 3.3#Ex23] || [[Item:Q1149|<math>A_{-3}^{6} = \tfrac{1}{720}t(t^{2}-1)(t-3)(t^{2}-4)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-3}^{6} = \tfrac{1}{720}t(t^{2}-1)(t-3)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 3])^(6) = (1)/(720)*t*((t)^(2)- 1)*(t - 3)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 3])^(6) == Divide[1,720]*t*((t)^(2)- 1)*(t - 3)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex23 3.3#Ex23] || <math qid="Q1149">A_{-3}^{6} = \tfrac{1}{720}t(t^{2}-1)(t-3)(t^{2}-4)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-3}^{6} = \tfrac{1}{720}t(t^{2}-1)(t-3)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 3])^(6) = (1)/(720)*t*((t)^(2)- 1)*(t - 3)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 3])^(6) == Divide[1,720]*t*((t)^(2)- 1)*(t - 3)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex24 3.3#Ex24] || [[Item:Q1150|<math>A_{-2}^{6} = -\tfrac{1}{120}t(t^{2}-1)(t-2)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-2}^{6} = -\tfrac{1}{120}t(t^{2}-1)(t-2)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 2])^(6) = -(1)/(120)*t*((t)^(2)- 1)*(t - 2)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 2])^(6) == -Divide[1,120]*t*((t)^(2)- 1)*(t - 2)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex24 3.3#Ex24] || <math qid="Q1150">A_{-2}^{6} = -\tfrac{1}{120}t(t^{2}-1)(t-2)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-2}^{6} = -\tfrac{1}{120}t(t^{2}-1)(t-2)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 2])^(6) = -(1)/(120)*t*((t)^(2)- 1)*(t - 2)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 2])^(6) == -Divide[1,120]*t*((t)^(2)- 1)*(t - 2)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex25 3.3#Ex25] || [[Item:Q1151|<math>A_{-1}^{6} = \tfrac{1}{48}t(t-1)(t^{2}-4)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{6} = \tfrac{1}{48}t(t-1)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(6) = (1)/(48)*t*(t - 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(6) == Divide[1,48]*t*(t - 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex25 3.3#Ex25] || <math qid="Q1151">A_{-1}^{6} = \tfrac{1}{48}t(t-1)(t^{2}-4)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{6} = \tfrac{1}{48}t(t-1)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(6) = (1)/(48)*t*(t - 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(6) == Divide[1,48]*t*(t - 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex26 3.3#Ex26] || [[Item:Q1152|<math>A_{0}^{6} = -\tfrac{1}{36}(t^{2}-1)(t^{2}-4)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{6} = -\tfrac{1}{36}(t^{2}-1)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(6) = -(1)/(36)*((t)^(2)- 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(6) == -Divide[1,36]*((t)^(2)- 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex26 3.3#Ex26] || <math qid="Q1152">A_{0}^{6} = -\tfrac{1}{36}(t^{2}-1)(t^{2}-4)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{6} = -\tfrac{1}{36}(t^{2}-1)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(6) = -(1)/(36)*((t)^(2)- 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(6) == -Divide[1,36]*((t)^(2)- 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex27 3.3#Ex27] || [[Item:Q1153|<math>A_{1}^{6} = \tfrac{1}{48}t(t+1)(t^{2}-4)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{6} = \tfrac{1}{48}t(t+1)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(6) = (1)/(48)*t*(t + 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(6) == Divide[1,48]*t*(t + 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex27 3.3#Ex27] || <math qid="Q1153">A_{1}^{6} = \tfrac{1}{48}t(t+1)(t^{2}-4)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{6} = \tfrac{1}{48}t(t+1)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(6) = (1)/(48)*t*(t + 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(6) == Divide[1,48]*t*(t + 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex28 3.3#Ex28] || [[Item:Q1154|<math>A_{2}^{6} = -\tfrac{1}{120}t(t^{2}-1)(t+2)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{2}^{6} = -\tfrac{1}{120}t(t^{2}-1)(t+2)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[2])^(6) = -(1)/(120)*t*((t)^(2)- 1)*(t + 2)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 2])^(6) == -Divide[1,120]*t*((t)^(2)- 1)*(t + 2)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex28 3.3#Ex28] || <math qid="Q1154">A_{2}^{6} = -\tfrac{1}{120}t(t^{2}-1)(t+2)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{2}^{6} = -\tfrac{1}{120}t(t^{2}-1)(t+2)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[2])^(6) = -(1)/(120)*t*((t)^(2)- 1)*(t + 2)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 2])^(6) == -Divide[1,120]*t*((t)^(2)- 1)*(t + 2)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex29 3.3#Ex29] || [[Item:Q1155|<math>A_{3}^{6} = \tfrac{1}{720}t(t^{2}-1)(t+3)(t^{2}-4)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{3}^{6} = \tfrac{1}{720}t(t^{2}-1)(t+3)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[3])^(6) = (1)/(720)*t*((t)^(2)- 1)*(t + 3)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 3])^(6) == Divide[1,720]*t*((t)^(2)- 1)*(t + 3)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex29 3.3#Ex29] || <math qid="Q1155">A_{3}^{6} = \tfrac{1}{720}t(t^{2}-1)(t+3)(t^{2}-4)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{3}^{6} = \tfrac{1}{720}t(t^{2}-1)(t+3)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[3])^(6) = (1)/(720)*t*((t)^(2)- 1)*(t + 3)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 3])^(6) == Divide[1,720]*t*((t)^(2)- 1)*(t + 3)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E31 3.3.E31] || [[Item:Q1157|<math>f_{t} = \sum_{k=-3}^{4}A_{k}^{7}f_{k}+R_{7,t}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-3}^{4}A_{k}^{7}f_{k}+R_{7,t}</syntaxhighlight> || <math>-3 < t, t < 4</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(7)*f[k], k = - 3..4)+ R[7 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(7)*Subscript[f, k], {k, - 3, 4}, GenerateConditions->None]+ Subscript[R, 7 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E31 3.3.E31] || <math qid="Q1157">f_{t} = \sum_{k=-3}^{4}A_{k}^{7}f_{k}+R_{7,t}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f_{t} = \sum_{k=-3}^{4}A_{k}^{7}f_{k}+R_{7,t}</syntaxhighlight> || <math>-3 < t, t < 4</math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f[t] = sum((A[k])^(7)*f[k], k = - 3..4)+ R[7 , t]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">Subscript[f, t] == Sum[(Subscript[A, k])^(7)*Subscript[f, k], {k, - 3, 4}, GenerateConditions->None]+ Subscript[R, 7 , t]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex30 3.3#Ex30] || [[Item:Q1158|<math>A_{-3}^{7} = -\tfrac{1}{5040}t(t^{2}-1)(t-3)(t-4)(t^{2}-4)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-3}^{7} = -\tfrac{1}{5040}t(t^{2}-1)(t-3)(t-4)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 3])^(7) = -(1)/(5040)*t*((t)^(2)- 1)*(t - 3)*(t - 4)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 3])^(7) == -Divide[1,5040]*t*((t)^(2)- 1)*(t - 3)*(t - 4)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex30 3.3#Ex30] || <math qid="Q1158">A_{-3}^{7} = -\tfrac{1}{5040}t(t^{2}-1)(t-3)(t-4)(t^{2}-4)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-3}^{7} = -\tfrac{1}{5040}t(t^{2}-1)(t-3)(t-4)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 3])^(7) = -(1)/(5040)*t*((t)^(2)- 1)*(t - 3)*(t - 4)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 3])^(7) == -Divide[1,5040]*t*((t)^(2)- 1)*(t - 3)*(t - 4)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex31 3.3#Ex31] || [[Item:Q1159|<math>A_{-2}^{7} = \tfrac{1}{720}t(t^{2}-1)(t-2)(t-4)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-2}^{7} = \tfrac{1}{720}t(t^{2}-1)(t-2)(t-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 2])^(7) = (1)/(720)*t*((t)^(2)- 1)*(t - 2)*(t - 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 2])^(7) == Divide[1,720]*t*((t)^(2)- 1)*(t - 2)*(t - 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex31 3.3#Ex31] || <math qid="Q1159">A_{-2}^{7} = \tfrac{1}{720}t(t^{2}-1)(t-2)(t-4)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-2}^{7} = \tfrac{1}{720}t(t^{2}-1)(t-2)(t-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 2])^(7) = (1)/(720)*t*((t)^(2)- 1)*(t - 2)*(t - 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 2])^(7) == Divide[1,720]*t*((t)^(2)- 1)*(t - 2)*(t - 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex32 3.3#Ex32] || [[Item:Q1160|<math>A_{-1}^{7} = -\tfrac{1}{240}t(t-1)(t-4)(t^{2}-4)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{7} = -\tfrac{1}{240}t(t-1)(t-4)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(7) = -(1)/(240)*t*(t - 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(7) == -Divide[1,240]*t*(t - 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex32 3.3#Ex32] || <math qid="Q1160">A_{-1}^{7} = -\tfrac{1}{240}t(t-1)(t-4)(t^{2}-4)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{-1}^{7} = -\tfrac{1}{240}t(t-1)(t-4)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[- 1])^(7) = -(1)/(240)*t*(t - 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, - 1])^(7) == -Divide[1,240]*t*(t - 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex33 3.3#Ex33] || [[Item:Q1161|<math>A_{0}^{7} = \tfrac{1}{144}(t^{2}-1)(t-4)(t^{2}-4)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{7} = \tfrac{1}{144}(t^{2}-1)(t-4)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(7) = (1)/(144)*((t)^(2)- 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(7) == Divide[1,144]*((t)^(2)- 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex33 3.3#Ex33] || <math qid="Q1161">A_{0}^{7} = \tfrac{1}{144}(t^{2}-1)(t-4)(t^{2}-4)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{0}^{7} = \tfrac{1}{144}(t^{2}-1)(t-4)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[0])^(7) = (1)/(144)*((t)^(2)- 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 0])^(7) == Divide[1,144]*((t)^(2)- 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex34 3.3#Ex34] || [[Item:Q1162|<math>A_{1}^{7} = -\tfrac{1}{144}t(t+1)(t-4)(t^{2}-4)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{7} = -\tfrac{1}{144}t(t+1)(t-4)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(7) = -(1)/(144)*t*(t + 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(7) == -Divide[1,144]*t*(t + 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex34 3.3#Ex34] || <math qid="Q1162">A_{1}^{7} = -\tfrac{1}{144}t(t+1)(t-4)(t^{2}-4)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{1}^{7} = -\tfrac{1}{144}t(t+1)(t-4)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[1])^(7) = -(1)/(144)*t*(t + 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 1])^(7) == -Divide[1,144]*t*(t + 1)*(t - 4)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex35 3.3#Ex35] || [[Item:Q1163|<math>A_{2}^{7} = \tfrac{1}{240}t(t^{2}-1)(t+2)(t-4)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{2}^{7} = \tfrac{1}{240}t(t^{2}-1)(t+2)(t-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[2])^(7) = (1)/(240)*t*((t)^(2)- 1)*(t + 2)*(t - 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 2])^(7) == Divide[1,240]*t*((t)^(2)- 1)*(t + 2)*(t - 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex35 3.3#Ex35] || <math qid="Q1163">A_{2}^{7} = \tfrac{1}{240}t(t^{2}-1)(t+2)(t-4)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{2}^{7} = \tfrac{1}{240}t(t^{2}-1)(t+2)(t-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[2])^(7) = (1)/(240)*t*((t)^(2)- 1)*(t + 2)*(t - 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 2])^(7) == Divide[1,240]*t*((t)^(2)- 1)*(t + 2)*(t - 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex36 3.3#Ex36] || [[Item:Q1164|<math>A_{3}^{7} = -\tfrac{1}{720}t(t^{2}-1)(t+3)(t-4)(t^{2}-4)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{3}^{7} = -\tfrac{1}{720}t(t^{2}-1)(t+3)(t-4)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[3])^(7) = -(1)/(720)*t*((t)^(2)- 1)*(t + 3)*(t - 4)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 3])^(7) == -Divide[1,720]*t*((t)^(2)- 1)*(t + 3)*(t - 4)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex36 3.3#Ex36] || <math qid="Q1164">A_{3}^{7} = -\tfrac{1}{720}t(t^{2}-1)(t+3)(t-4)(t^{2}-4)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{3}^{7} = -\tfrac{1}{720}t(t^{2}-1)(t+3)(t-4)(t^{2}-4)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[3])^(7) = -(1)/(720)*t*((t)^(2)- 1)*(t + 3)*(t - 4)*((t)^(2)- 4)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 3])^(7) == -Divide[1,720]*t*((t)^(2)- 1)*(t + 3)*(t - 4)*((t)^(2)- 4)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex37 3.3#Ex37] || [[Item:Q1165|<math>A_{4}^{7} = \tfrac{1}{5040}t(t^{2}-1)(t^{2}-4)(t^{2}-9)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{4}^{7} = \tfrac{1}{5040}t(t^{2}-1)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[4])^(7) = (1)/(5040)*t*((t)^(2)- 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 4])^(7) == Divide[1,5040]*t*((t)^(2)- 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex37 3.3#Ex37] || <math qid="Q1165">A_{4}^{7} = \tfrac{1}{5040}t(t^{2}-1)(t^{2}-4)(t^{2}-9)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>A_{4}^{7} = \tfrac{1}{5040}t(t^{2}-1)(t^{2}-4)(t^{2}-9)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(A[4])^(7) = (1)/(5040)*t*((t)^(2)- 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">(Subscript[A, 4])^(7) == Divide[1,5040]*t*((t)^(2)- 1)*((t)^(2)- 4)*((t)^(2)- 9)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex38 3.3#Ex38] || [[Item:Q1167|<math>f = f_{0}</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f = f_{0}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f = f[0]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f == Subscript[f, 0]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex38 3.3#Ex38] || <math qid="Q1167">f = f_{0}</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f = f_{0}</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f = f[0]</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f == Subscript[f, 0]</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex39 3.3#Ex39] || [[Item:Q1168|<math>f = ({[z_{1}]}f-{[z_{0}]}f)/(z_{1}-z_{0})</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f = ({[z_{1}]}f-{[z_{0}]}f)/(z_{1}-z_{0})</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f = ((z[1])*f -(z[0])*f)/(z[1]- z[0])</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f == ((Subscript[z, 1])*f -(Subscript[z, 0])*f)/(Subscript[z, 1]- Subscript[z, 0])</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex39 3.3#Ex39] || <math qid="Q1168">f = ({[z_{1}]}f-{[z_{0}]}f)/(z_{1}-z_{0})</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f = ({[z_{1}]}f-{[z_{0}]}f)/(z_{1}-z_{0})</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f = ((z[1])*f -(z[0])*f)/(z[1]- z[0])</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f == ((Subscript[z, 1])*f -(Subscript[z, 0])*f)/(Subscript[z, 1]- Subscript[z, 0])</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3#Ex40 3.3#Ex40] || [[Item:Q1169|<math>f = ({[z_{1},z_{2}]}f-{[z_{0},z_{1}]}f)/(z_{2}-z_{0})</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f = ({[z_{1},z_{2}]}f-{[z_{0},z_{1}]}f)/(z_{2}-z_{0})</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f = ([z[1], z[2]]*f -[z[0], z[1]]*f)/(z[2]- z[0])</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f == ([Subscript[z, 1], Subscript[z, 2]]*f -[Subscript[z, 0], Subscript[z, 1]]*f)/(Subscript[z, 2]- Subscript[z, 0])</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3#Ex40 3.3#Ex40] || <math qid="Q1169">f = ({[z_{1},z_{2}]}f-{[z_{0},z_{1}]}f)/(z_{2}-z_{0})</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>f = ({[z_{1},z_{2}]}f-{[z_{0},z_{1}]}f)/(z_{2}-z_{0})</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f = ([z[1], z[2]]*f -[z[0], z[1]]*f)/(z[2]- z[0])</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">f == ([Subscript[z, 1], Subscript[z, 2]]*f -[Subscript[z, 0], Subscript[z, 1]]*f)/(Subscript[z, 2]- Subscript[z, 0])</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E39 3.3.E39] || [[Item:Q1174|<math>x(f) = [f_{0}]x+(f-f_{0})[f_{0},f_{1}]x+(f-f_{0})(f-f_{1})[f_{0},f_{1},f_{2}]x</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x(f) = [f_{0}]x+(f-f_{0})[f_{0},f_{1}]x+(f-f_{0})(f-f_{1})[f_{0},f_{1},f_{2}]x</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x(f) = (f[0])*x(+)*(f - f[0])*[f[0], f[1]]*x(+)*(f - f[0])*(f - f[1])*[f[0], f[1], f[2]]*x</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[f] == (Subscript[f, 0])*x[+]*(f - Subscript[f, 0])*[Subscript[f, 0], Subscript[f, 1]]*x[+]*(f - Subscript[f, 0])*(f - Subscript[f, 1])*[Subscript[f, 0], Subscript[f, 1], Subscript[f, 2]]*x</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E39 3.3.E39] || <math qid="Q1174">x(f) = [f_{0}]x+(f-f_{0})[f_{0},f_{1}]x+(f-f_{0})(f-f_{1})[f_{0},f_{1},f_{2}]x</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x(f) = [f_{0}]x+(f-f_{0})[f_{0},f_{1}]x+(f-f_{0})(f-f_{1})[f_{0},f_{1},f_{2}]x</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x(f) = (f[0])*x(+)*(f - f[0])*[f[0], f[1]]*x(+)*(f - f[0])*(f - f[1])*[f[0], f[1], f[2]]*x</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x[f] == (Subscript[f, 0])*x[+]*(f - Subscript[f, 0])*[Subscript[f, 0], Subscript[f, 1]]*x[+]*(f - Subscript[f, 0])*(f - Subscript[f, 1])*[Subscript[f, 0], Subscript[f, 1], Subscript[f, 2]]*x</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |- style="background: #dfe6e9;"
-| [https://dlmf.nist.gov/3.3.E40 3.3.E40] || [[Item:Q1175|<math>x = -2.2+1.44011\;1973(f-0.09614\;53780)+0.08865\;85832\*(f-0.09614\;53780)(f-0.02670\;63331)</math>]]<br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x = -2.2+1.44011\;1973(f-0.09614\;53780)+0.08865\;85832\*(f-0.09614\;53780)(f-0.02670\;63331)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x = - 2.2 + 1.440111973*(f - 0.0961453780)+ 0.0886585832 *(f - 0.0961453780)*(f - 0.0267063331)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x == - 2.2 + 1.440111973*(f - 0.0961453780)+ 0.0886585832 *(f - 0.0961453780)*(f - 0.0267063331)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
+| [https://dlmf.nist.gov/3.3.E40 3.3.E40] || <math qid="Q1175">x = -2.2+1.44011\;1973(f-0.09614\;53780)+0.08865\;85832\*(f-0.09614\;53780)(f-0.02670\;63331)</math><br><syntaxhighlight lang="tex" style="font-size: 75%; background: inherit;" inline>x = -2.2+1.44011\;1973(f-0.09614\;53780)+0.08865\;85832\*(f-0.09614\;53780)(f-0.02670\;63331)</syntaxhighlight> || <math></math> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x = - 2.2 + 1.440111973*(f - 0.0961453780)+ 0.0886585832 *(f - 0.0961453780)*(f - 0.0267063331)</pre></div> || <div class="mw-highlight mw-highlight-lang-mathematica mw-content-ltr" dir="ltr"><pre style="background: inherit;">x == - 2.2 + 1.440111973*(f - 0.0961453780)+ 0.0886585832 *(f - 0.0961453780)*(f - 0.0267063331)</pre></div> || Skipped - no semantic math || Skipped - no semantic math || - || -
 |}
 </div>

3.3: Difference between revisions

Latest revision as of 11:02, 28 June 2021

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