Search results
1 day ago · Norm (mathematics) In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin. In particular, the Euclidean distance in a Euclidean space ...
3 days ago · According to the definition of y-intercept, the y-intercept of a graph is the point where it cuts (or) intersects the y-axis. We know that on the y-axis the x-coordinate is 0. Hence the formula to find the y-intercept of a function y = f(x) is just substituting x = 0 and solving for y.
4 days ago · In mathematics ( differential geometry ), a foliation is an equivalence relation on an n -manifold, the equivalence classes being connected, injectively immersed submanifolds, all of the same dimension p, modeled on the decomposition of the real coordinate space Rn into the cosets x + Rp of the standardly embedded subspace Rp.
2 days ago · In physics, engineeringand mathematics, the Fourier transform(FT) is an integral transformthat takes as input a functionand outputs another function that describes the extent to which various frequencies are present in the original function. The output of the transform is a complex-valued function of frequency.
5 days ago · Contour integrals. The contour integral of a complex function: is a generalization of the integral for real-valued functions. For continuous functions in the complex plane, the contour integral can be defined in analogy to the line integral by first defining the integral along a directed smooth curve in terms of an integral over a real valued parameter.
4 days ago · Calculus, mathematical analysis, statistics, physics. In mathematics, the gamma function (represented by Γ, the capital letter gamma from the Greek alphabet) is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except the non-positive integers.
3 days ago · Conjugation by a unit quaternion (a quaternion of absolute value 1) with real part cos (φ) is a rotation by an angle 2φ, the axis of the rotation being the direction of the vector part. The advantages of quaternions are: [41] Avoiding gimbal lock, a problem with systems such as Euler angles.
