Posts

  • Trapezoidal Integral Rule Using C++

    Starting from the geometrical interpretation of the definite integral, as the net signed area bounded by the integrand \(f(x)\), the x-axis, and the vertical lines \(x = a\) and \(x = b\), the simplest approach to a practical quadrature algorithm is to replace the graph of the integrand by polygonal line defined by a fine number of integrand values to sum the trapezoidal areas formed thereby.

  • Analyzing the Equivalence and Range of Integer-Valued Functions in the Real Numbers

    Consider functions \(f,g:\mathbb{Z}\rightarrow \mathbb{R}\), \(f\left(x\right)=ax+m\), \(g\left(x\right)=bx+n\) where \(a,b,m\), and \(n\) are real constants. Let \(A\) and \(B\) ranges of \(f\) and \(g\) respectively. Therefore, which of the following statement are correct:

  • Exploring the Intersection of Topology and Quantum Computing

    Topology, a branch of mathematics, has recently been gaining a lot of attention in the realm of quantum computing. Topology is concerned with the study of properties of geometric objects that remain invariant despite continuous deformation.

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