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Heaviside cover-up method. The Heaviside cover-up method, named after Oliver Heaviside, is a technique for quickly determining the coefficients when performing the partial-fraction expansion of a rational function in the case of linear factors. [1][2][3][4]
Partial fraction decomposition. In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions ...
It is clear that the great majority of positions in the puzzle will never be reached when using the shortest possible solution; indeed, if the priests of the legend are using the longest possible solution (without re-visiting any position), it will take them 3 64 − 1 moves, or more than 10 23 years.
The step potential is simply the product of V0, the height of the barrier, and the Heaviside step function: The barrier is positioned at x = 0, though any position x0 may be chosen without changing the results, simply by shifting position of the step by − x0. The first term in the Hamiltonian, is the kinetic energy of the particle.
v. t. e. Under the European Patent Convention (EPC), European patents shall be granted for inventions which inter alia involve an inventive step. [ 1] The central legal provision explaining what this means, i.e. the central legal provision relating to the inventive step under the EPC, is Article 56 EPC. That is, an invention, having regard to ...
Initial value problem. In multivariable calculus, an initial value problem[a] (IVP) is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem.
Number-fraction distribution curve for linear polymerization. Plot 1, p=0.9600; plot 2, p=0.9875; plot 3, p=0.9950. The number fraction distribution is the fraction of x-mers in any system and equals the probability of finding it in solution. = ()
Adaptive step size. In mathematics and numerical analysis, an adaptive step size is used in some methods for the numerical solution of ordinary differential equations (including the special case of numerical integration) in order to control the errors of the method and to ensure stability properties such as A-stability.