Coefficients in cost function in A-star
I’d like to expand on this question : https://stackoverflow.com/questions/52420788/why-does-the-a-star-algorithm-need-gn Dijkstra’s algorithm uses cost function $ f(n) = g(n)$ whereas A* uses cost...
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How to express the coefficients of a Series as a series itself
For example, SeriesCoefficient[ArcCos[d], {d, 0, n}] returns: ,while SeriesCoefficient[ArcCos[d]^2, {d, 0, n}] returns: The post How to express the coefficients of a Series as a series itself appeared...
View ArticleWhat is the most efficient algorithm to compute polynomial coefficients from...
Given $ n$ roots, $ x_1, x_2, \dotsc, x_n$ , the corresponding monic polynomial is $ y = (x-x_1)(x-x_2)\dotsm(x-x_n) = \prod_{i}^n (x – x_i)$ . To get the coefficients (i.e. $ y = \sum_{i}^n a_i x^i$...
View ArticleExtract coefficients from ODE
I’m trying to extract the coefficients from an ODE $ $ y””+y”+x^2 y’-6y+ 8\ cos(x)$ $ and hoping the code will give a list with all the coefficients in, ranging from lower order to higher order, i.e....
View ArticlePolynomial transformation coefficients
Given a 3D polynomial of degree $ m$ and coefficients $ a_{ijk}^0$ , $ $ p(x_0, y_0, x_0) = \sum_{i,j,k}^{m} a_{ijk}^0 x_0^i y_0^j z_0^k, \quad i + j + k \le m,$ $ I want to make the transformation: $...
View ArticleIs deciding solvability of systems of quadratic equations with integer...
In the book ‘Computational Complexity’ by Arora and Barak the following question is posed (exercise 2.20.): Let REALQUADEQ be the language of all satisfiable sets of quadratic equations over real...
View ArticleApproximate solution of a nonlinear ODE in the form of a Fourier series...
In this topic we considering nonlinear ODE: $ \frac{dx}{dt}= (x^4) \cdot a_1 \cdot sin(\omega_1 \cdot t)-a_1 \cdot sin(\omega_1 \cdot t + \frac{\pi}{2})$ – Chini ODE And system of nonlinears ODE: $...
View ArticleRegression coefficients of a matrix
Assume, we have a matrix X with the shape of (1000,20), how to generate the regression coefficients of it ? The post Regression coefficients of a matrix appeared first on 100% Private Proxies - Fast,...
View ArticleSolving a system of differential equations whose one of the coefficients is...
Suppose we have a coupled system of differential equations: \begin{equation} \frac{db}{dt}=(- \gamma_b -i\omega_b)b-i\frac{g}{2}p;\quad \frac{dp}{dt}=i\frac{g}{2}\Delta N(t)...
View ArticleFinding series coefficients
Given b[0]:= 1; Sum[Binomial[n, k]*((2*n-2*k-1)!!)^2*b[k+1], {k,0,n}] = ((2*n+1)!!)^2; is there a way to find the coefficients b[n] using InverseSeries, SeriesCoefficient, or some other method? The...
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