polynomialFactory(Laplace=class=StandardDistributionPolynomialFactory hasSpecificFamily=false orthonormalization algorithm=class=OrthonormalizationAlgorithm implementation=class=AdaptiveStieltjesAlgorithm measure=class=Laplace name=Laplace dimension=1 lambda=1 mu=0 monicRecurrenceCoefficients=[class=Point name=Unnamed dimension=3 values=[1,0,0],class=Point name=Unnamed dimension=3 values=[1,0,-2]] monicSquaredNorms=class=Point name=Unnamed dimension=2 values=[1,2] isElliptical=true
Laplace polynomial(0)=1
Laplace polynomial(1)=0.707107 * X
Laplace polynomial(2)=-0.447214 + 0.223607 * X^2
Laplace polynomial(3)=-0.57735 * X + 0.0481125 * X^3
Laplace polynomial(4)=0.329735 - 0.25646 * X^2 + 0.00763275 * X^4
Laplace polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-5.67987,-1.15719,1.15719,5.67987]
Laplace polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-5.67987,-1.15719,1.15719,5.67987] and weights=class=Point name=Unnamed dimension=4 values=[0.0106869,0.489313,0.489313,0.0106869]
polynomialFactory(Logistic=class=StandardDistributionPolynomialFactory hasSpecificFamily=false orthonormalization algorithm=class=OrthonormalizationAlgorithm implementation=class=AdaptiveStieltjesAlgorithm measure=class=Logistic name=Logistic dimension=1 alpha=0 beta=1 monicRecurrenceCoefficients=[class=Point name=Unnamed dimension=3 values=[1,0,0],class=Point name=Unnamed dimension=3 values=[1,0,-3.28987]] monicSquaredNorms=class=Point name=Unnamed dimension=2 values=[1,3.28987] isElliptical=true
Logistic polynomial(0)=1
Logistic polynomial(1)=0.551329 * X
Logistic polynomial(2)=-0.559017 + 0.169921 * X^2
Logistic polynomial(3)=-0.491265 * X + 0.035554 * X^3
Logistic polynomial(4)=0.421875 - 0.205809 * X^2 + 0.00561421 * X^4
Logistic polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-5.87189,-1.47628,1.47628,5.87189]
Logistic polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-5.87189,-1.47628,1.47628,5.87189] and weights=class=Point name=Unnamed dimension=4 values=[0.0171899,0.48281,0.48281,0.0171899]
polynomialFactory(Normal=class=StandardDistributionPolynomialFactory hasSpecificFamily=true specificFamily=class=OrthogonalUniVariatePolynomialFamily implementation=class=HermiteFactory measure=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1]
Normal polynomial(0)=1
Normal polynomial(1)=X
Normal polynomial(2)=-0.707107 + 0.707107 * X^2
Normal polynomial(3)=-1.22474 * X + 0.408248 * X^3
Normal polynomial(4)=0.612372 - 1.22474 * X^2 + 0.204124 * X^4
Normal polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-2.33441,-0.741964,0.741964,2.33441]
Normal polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-2.33441,-0.741964,0.741964,2.33441] and weights=class=Point name=Unnamed dimension=4 values=[0.0458759,0.454124,0.454124,0.0458759]
polynomialFactory(Normal=class=StandardDistributionPolynomialFactory hasSpecificFamily=false orthonormalization algorithm=class=OrthonormalizationAlgorithm implementation=class=AdaptiveStieltjesAlgorithm measure=class=Normal name=Normal dimension=1 mean=class=Point name=Unnamed dimension=1 values=[1] sigma=class=Point name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1] monicRecurrenceCoefficients=[class=Point name=Unnamed dimension=3 values=[1,-1,0],class=Point name=Unnamed dimension=3 values=[1,-1,-1]] monicSquaredNorms=class=Point name=Unnamed dimension=2 values=[1,1] isElliptical=true
Normal polynomial(0)=1
Normal polynomial(1)=-1 + X
Normal polynomial(2)=-1.41421 * X + 0.707107 * X^2
Normal polynomial(3)=0.816497 - 1.22474 * X^2 + 0.408248 * X^3
Normal polynomial(4)=-0.408248 + 1.63299 * X + 4.02503e-10 * X^2 - 0.816497 * X^3 + 0.204124 * X^4
Normal polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-1.33441,0.258036,1.74196,3.33441]
Normal polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-1.33441,0.258036,1.74196,3.33441] and weights=class=Point name=Unnamed dimension=4 values=[0.0458759,0.454124,0.454124,0.0458759]
polynomialFactory(Rayleigh=class=StandardDistributionPolynomialFactory hasSpecificFamily=false orthonormalization algorithm=class=OrthonormalizationAlgorithm implementation=class=AdaptiveStieltjesAlgorithm measure=class=Rayleigh name=Rayleigh dimension=1 sigma=1 gamma=0 monicRecurrenceCoefficients=[class=Point name=Unnamed dimension=3 values=[1,-1.25331,0],class=Point name=Unnamed dimension=3 values=[1,-1.66678,-0.429204]] monicSquaredNorms=class=Point name=Unnamed dimension=2 values=[1,0.429204] isElliptical=false
Rayleigh polynomial(0)=1
Rayleigh polynomial(1)=-1.91306 + 1.5264 * X
Rayleigh polynomial(2)=2.84565 - 5.00639 * X + 1.71446 * X^2
Rayleigh polynomial(3)=-3.78384 + 10.859 * X - 7.93394 * X^2 + 1.60694 * X^3
Rayleigh polynomial(4)=4.72402 - 19.4426 * X + 22.5685 * X^2 - 9.59251 * X^3 + 1.32173 * X^4
Rayleigh polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[0.396121,1.17673,2.20107,3.48361]
Rayleigh polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[0.396121,1.17673,2.20107,3.48361] and weights=class=Point name=Unnamed dimension=4 values=[0.227998,0.538465,0.221578,0.0119592]
polynomialFactory(Student=class=StandardDistributionPolynomialFactory hasSpecificFamily=false orthonormalization algorithm=class=OrthonormalizationAlgorithm implementation=class=AdaptiveStieltjesAlgorithm measure=class=Student name=Student dimension=1 nu=22 mean=class=Point name=Unnamed dimension=1 values=[0] sigma=class=Point name=Unnamed dimension=1 values=[1] correlationMatrix=class=CorrelationMatrix dimension=1 implementation=class=MatrixImplementation name=Unnamed rows=1 columns=1 values=[1] monicRecurrenceCoefficients=[class=Point name=Unnamed dimension=3 values=[1,0,0],class=Point name=Unnamed dimension=3 values=[1,0,-1.1]] monicSquaredNorms=class=Point name=Unnamed dimension=2 values=[1,1.1] isElliptical=true
Student polynomial(0)=1
Student polynomial(1)=0.953463 * X
Student polynomial(2)=-0.654654 + 0.59514 * X^2
Student polynomial(3)=-1.01929 * X + 0.277989 * X^3
Student polynomial(4)=0.51299 - 0.839438 * X^2 + 0.10175 * X^4
Student polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-2.75415,-0.815266,0.815266,2.75415]
Student polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-2.75415,-0.815266,0.815266,2.75415] and weights=class=Point name=Unnamed dimension=4 values=[0.0314522,0.468548,0.468548,0.0314522]
polynomialFactory(Triangular=class=StandardDistributionPolynomialFactory hasSpecificFamily=false orthonormalization algorithm=class=OrthonormalizationAlgorithm implementation=class=AdaptiveStieltjesAlgorithm measure=class=Triangular name=Triangular dimension=1 a=-1 m=0.3 b=1 monicRecurrenceCoefficients=[class=Point name=Unnamed dimension=3 values=[1,-0.1,0],class=Point name=Unnamed dimension=3 values=[1,0.0153398,-0.171667]] monicSquaredNorms=class=Point name=Unnamed dimension=2 values=[1,0.171667] isElliptical=false
Triangular polynomial(0)=1
Triangular polynomial(1)=-0.241355 + 2.41355 * X
Triangular polynomial(2)=-0.877334 - 0.428839 * X + 5.06542 * X^2
Triangular polynomial(3)=0.259575 - 4.13679 * X - 1.01753 * X^2 + 10.3656 * X^3
Triangular polynomial(4)=0.878133 + 0.925615 * X - 13.5192 * X^2 - 1.99648 * X^3 + 21.1809 * X^4
Triangular polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-0.742936,-0.235772,0.310364,0.762603]
Triangular polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-0.742936,-0.235772,0.310364,0.762603] and weights=class=Point name=Unnamed dimension=4 values=[0.0810886,0.334646,0.456437,0.127828]
polynomialFactory(Uniform=class=StandardDistributionPolynomialFactory hasSpecificFamily=true specificFamily=class=OrthogonalUniVariatePolynomialFamily implementation=class=LegendreFactory measure=class=Uniform name=Uniform dimension=1 a=-1 b=1
Uniform polynomial(0)=1
Uniform polynomial(1)=1.73205 * X
Uniform polynomial(2)=-1.11803 + 3.3541 * X^2
Uniform polynomial(3)=-3.96863 * X + 6.61438 * X^3
Uniform polynomial(4)=1.125 - 11.25 * X^2 + 13.125 * X^4
Uniform polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-0.861136,-0.339981,0.339981,0.861136]
Uniform polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-0.861136,-0.339981,0.339981,0.861136] and weights=class=Point name=Unnamed dimension=4 values=[0.173927,0.326073,0.326073,0.173927]
polynomialFactory(Uniform=class=StandardDistributionPolynomialFactory hasSpecificFamily=false orthonormalization algorithm=class=OrthonormalizationAlgorithm implementation=class=AdaptiveStieltjesAlgorithm measure=class=Uniform name=Uniform dimension=1 a=-1 b=3 monicRecurrenceCoefficients=[class=Point name=Unnamed dimension=3 values=[1,-1,0],class=Point name=Unnamed dimension=3 values=[1,-1,-1.33333]] monicSquaredNorms=class=Point name=Unnamed dimension=2 values=[1,1.33333] isElliptical=true
Uniform polynomial(0)=1
Uniform polynomial(1)=-0.866025 + 0.866025 * X
Uniform polynomial(2)=-0.279508 - 1.67705 * X + 0.838525 * X^2
Uniform polynomial(3)=1.15752 + 0.496078 * X - 2.48039 * X^2 + 0.826797 * X^3
Uniform polynomial(4)=-0.867188 + 2.34375 * X + 2.10938 * X^2 - 3.28125 * X^3 + 0.820313 * X^4
Uniform polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-0.722273,0.320038,1.67996,2.72227]
Uniform polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-0.722273,0.320038,1.67996,2.72227] and weights=class=Point name=Unnamed dimension=4 values=[0.173927,0.326073,0.326073,0.173927]
polynomialFactory(Weibull=class=StandardDistributionPolynomialFactory hasSpecificFamily=false orthonormalization algorithm=class=OrthonormalizationAlgorithm implementation=class=AdaptiveStieltjesAlgorithm measure=class=Weibull name=Weibull dimension=1 alpha=1 beta=3 gamma=0 monicRecurrenceCoefficients=[class=Point name=Unnamed dimension=3 values=[1,-0.89298,0],class=Point name=Unnamed dimension=3 values=[1,-0.947537,-0.105333]] monicSquaredNorms=class=Point name=Unnamed dimension=2 values=[1,0.105333] isElliptical=false
Weibull polynomial(0)=1
Weibull polynomial(1)=-2.75144 + 3.08119 * X
Weibull polynomial(2)=5.3921 - 13.3967 * X + 7.27876 * X^2
Weibull polynomial(3)=-8.91794 + 36.5275 * X - 42.8504 * X^2 + 14.9827 * X^3
Weibull polynomial(4)=13.3264 - 79.2309 * X + 149.529 * X^2 - 111.023 * X^3 + 28.1044 * X^4
Weibull polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[0.315842,0.737023,1.19993,1.69759]
Weibull polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[0.315842,0.737023,1.19993,1.69759] and weights=class=Point name=Unnamed dimension=4 values=[0.109605,0.491205,0.364361,0.03483]
polynomialFactory(Beta=class=StandardDistributionPolynomialFactory hasSpecificFamily=true specificFamily=class=OrthogonalUniVariatePolynomialFamily implementation=class=JacobiFactory alpha=1 beta=0 measure=class=Beta name=Beta dimension=1 r=1 t=3 a=-1 b=1
Beta polynomial(0)=1
Beta polynomial(1)=0.707107 + 2.12132 * X
Beta polynomial(2)=-0.866025 + 1.73205 * X + 4.33013 * X^2
Beta polynomial(3)=-0.75 - 3.75 * X + 3.75 * X^2 + 8.75 * X^3
Beta polynomial(4)=0.838525 - 3.3541 * X - 11.7394 * X^2 + 7.82624 * X^3 + 17.609 * X^4
Beta polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-0.885792,-0.446314,0.167181,0.72048]
Beta polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-0.885792,-0.446314,0.167181,0.72048] and weights=class=Point name=Unnamed dimension=4 values=[0.271014,0.406929,0.259695,0.0623619]
polynomialFactory(Beta=class=StandardDistributionPolynomialFactory hasSpecificFamily=true specificFamily=class=OrthogonalUniVariatePolynomialFamily implementation=class=ChebychevFactory measure=class=Arcsine name=Arcsine dimension=1 a=-1 b=1
Beta polynomial(0)=1
Beta polynomial(1)=1.41421 * X
Beta polynomial(2)=-1.41421 + 2.82843 * X^2
Beta polynomial(3)=-4.24264 * X + 5.65685 * X^3
Beta polynomial(4)=1.41421 - 11.3137 * X^2 + 11.3137 * X^4
Beta polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-0.92388,-0.382683,0.382683,0.92388]
Beta polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-0.92388,-0.382683,0.382683,0.92388] and weights=class=Point name=Unnamed dimension=4 values=[0.25,0.25,0.25,0.25]
polynomialFactory(Beta=class=StandardDistributionPolynomialFactory hasSpecificFamily=false orthonormalization algorithm=class=OrthonormalizationAlgorithm implementation=class=AdaptiveStieltjesAlgorithm measure=class=Beta name=Beta dimension=1 r=0.5 t=1 a=-2 b=3 monicRecurrenceCoefficients=[class=Point name=Unnamed dimension=3 values=[1,-0.5,0],class=Point name=Unnamed dimension=3 values=[1,-0.5,-3.125]] monicSquaredNorms=class=Point name=Unnamed dimension=2 values=[1,3.125] isElliptical=true
Beta polynomial(0)=1
Beta polynomial(1)=-0.282843 + 0.565685 * X
Beta polynomial(2)=-1.30108 - 0.452548 * X + 0.452548 * X^2
Beta polynomial(3)=0.803273 - 1.42553 * X - 0.543058 * X^2 + 0.362039 * X^3
Beta polynomial(4)=0.979767 + 1.66538 * X - 1.37575 * X^2 - 0.579262 * X^3 + 0.289631 * X^4
Beta polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-1.8097,-0.456709,1.45671,2.8097]
Beta polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-1.8097,-0.456709,1.45671,2.8097] and weights=class=Point name=Unnamed dimension=4 values=[0.25,0.25,0.25,0.25]
polynomialFactory(Gamma=class=StandardDistributionPolynomialFactory hasSpecificFamily=false orthonormalization algorithm=class=OrthonormalizationAlgorithm implementation=class=AdaptiveStieltjesAlgorithm measure=class=Gamma name=Gamma dimension=1 k=1 lambda=3 gamma=0 monicRecurrenceCoefficients=[class=Point name=Unnamed dimension=3 values=[1,-0.333333,0],class=Point name=Unnamed dimension=3 values=[1,-1,-0.111111]] monicSquaredNorms=class=Point name=Unnamed dimension=2 values=[1,0.111111] isElliptical=false
Gamma polynomial(0)=1
Gamma polynomial(1)=-1 + 3 * X
Gamma polynomial(2)=1 - 6 * X + 4.5 * X^2
Gamma polynomial(3)=-1 + 9 * X - 13.5 * X^2 + 4.5 * X^3
Gamma polynomial(4)=1 - 12 * X + 27.0001 * X^2 - 18.0001 * X^3 + 3.37502 * X^4
Gamma polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[0.107516,0.58192,1.51221,3.13169]
Gamma polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[0.107516,0.58192,1.51221,3.13169] and weights=class=Point name=Unnamed dimension=4 values=[0.603154,0.357419,0.0388879,0.000539296]
polynomialFactory(Arcsine=class=StandardDistributionPolynomialFactory hasSpecificFamily=true specificFamily=class=OrthogonalUniVariatePolynomialFamily implementation=class=ChebychevFactory measure=class=Arcsine name=Arcsine dimension=1 a=-1 b=1
Arcsine polynomial(0)=1
Arcsine polynomial(1)=1.41421 * X
Arcsine polynomial(2)=-1.41421 + 2.82843 * X^2
Arcsine polynomial(3)=-4.24264 * X + 5.65685 * X^3
Arcsine polynomial(4)=1.41421 - 11.3137 * X^2 + 11.3137 * X^4
Arcsine polynomial(4) roots=class=Point name=Unnamed dimension=4 values=[-0.92388,-0.382683,0.382683,0.92388]
Arcsine polynomial(4) nodes=class=Point name=Unnamed dimension=4 values=[-0.92388,-0.382683,0.382683,0.92388] and weights=class=Point name=Unnamed dimension=4 values=[0.25,0.25,0.25,0.25]
