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...
Consider the Pearson correlation coefficient between the two functions \(\cos (x)\) and \(\sin (x)\) over the interval \((0,\pi /2)\). The expected Pearson correlation coefficient between these two series can be estimated by discrete sampling in the limiting case of an infinite number ...
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