Sine integral Si(x) Syntaxdouble sin_integral( double x )Parametersx [input] the argument x of the functionReturnReturns the value of the sine integral Si(x) ExamplesEX1 void sin_integral_ex1() { double dx[5]= {0.2,0.4,0.6,0.8,1.0}; for(int ii = 0; ii<5 ; ii++) printf("%lf...
fun = @(x)sin((1:5)*x); q = integral(fun,0,1,'ArrayValued',true) q =1×50.4597 0.7081 0.6633 0.4134 0.1433 Improper Integral of Oscillatory Function Create the functionf(x)=x5e−xsinx. fun = @(x)x.^5.*exp(-x).*sin(x); ...
Define the anonymous function f(x,y,z)=ysinx+zcosx. Get fun = @(x,y,z) y.*sin(x)+z.*cos(x) fun = function_handle with value: @(x,y,z)y.*sin(x)+z.*cos(x) Integrate over the region 0≤x≤π, 0≤y≤1, and −1≤z≤1. Get q = integral3(fun,0,pi,0,1...
More generally, a holomorphic map X^{{{\,\textrm{an}\,}}}\rightarrow \Gamma \backslash D is a period map if there is a desingularization \tilde{X}\rightarrow X such that the composed morphism \tilde{X}^{{{\,\textrm{an}\,}}}\rightarrow X^{{{\,\textrm{an}\,}}}\rightarrow...
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\sin (y^2 - x^3). \end{aligned}$$ with the weight function \(\theta _{\varepsilon }^{\vardelta }\in \mathcal {w}_1\) , the quadrature error has an upper bound estimate \(\mathcal {o}(h^{\frac{1}{2} + 2(1 - \alpha )})\) . as we can see in fig. 2 , ...
The composite trapezoidal rule for the computation of Hadamard finite-part integrals in boundary element methods with the hypersingular kernel 1/sin 2(x-s) is discussed,and the main part of the asymptotic expansion of error function is obtained.Based on the main part of the asymptotic expansion...
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where a>1,m,n = integer, θ=nπ/K, K = total number of orientations, x′=a-m(xcosθ+ysinθ),y′=a-m(-xsinθ+ycosθ). Given an image I(x,y), its Gabor wavelet transform is defined as: (10)Tmn(x,y)=∫I(x1,y1)gmn∗(x-x1,y-y1)dx1dy1, where ∗ represents th...