For the linear nonautonomous impulsive differential equation, we propose a new notion called the nonuniform (h,k,μ,ν) ( h , k , μ , ν ) mathContainer Loading Mathjax -dichotomy, which extends the notion of dichotomy of uniform and nonuniform types and is related to the theory of ...
Equation order, specified as a scalar, vector, matrix, or multidimensional array. nu specifies the order of the Hankel function. nu and Z must be the same size, or one of them can be scalar. Example: besselh(3,Z) Data Types: single | double K— Kind of Hankel function 1 (default)...
Notice that this equation is linear- corresponding to a line on a graph where y = F(x). This means that if we change either of the variables (x or h), then the other one changes too- like pushing and pulling on a string. In other words, this equation describes what happens when w...
代数输入 三角输入 微积分输入 矩阵输入 n=s(w+h) 求解h 的值 {h=−w+sn,h∈R,s =0n=0ands=0 求解n 的值 n=s(w+h) 示例
In this section we consider the differential equationη(4)+Kη-λHη=0 with the boundary conditionsη(0)=0,η′(0)=0,η″(1)=0,β(λ)η‴(1),+α(λ)η(1)=0, where K is a function,α(λ)=α3λ3+α2λ2+α1λ,β(λ)=β2λ2+β1λ, with α3>0 and β2>0, and...
Article MathSciNet Google Scholar Benedikt, M. and Zimmermann, F. (2018). Proton colliders at the energy frontier. Nuclear Instruments and Methods in Physics Research. Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 907(1), 200–208. https://doi.org/10.1016/j.nima...
-\Delta-V)_-\leq L\int_{\mathbb R^3}V_+^{\frac 52}dx, \end{equation}\\其中不等号...
交After the exchange of equation (6) and equation (9), the equation system becomes: A + F + I = 1 (1) B = 1 (2) C = 1 (3) D = 1 (4) E + H + M = 1 (5) -15 F -15 H -15 I -15 M = -20 (6) L = 1 (7) K = 1 (8) G + J = 1 (9) 15 F + 5...
Next, we switch the order of integration and summation: [For those of you who do not know why we can do that, you will learn it later] This last integral equals: which finishes the proof. Consider a similar sum: To compute the sum, we may proceed similarly as before, which yields: ...
equation and theH-theorem1,2that gave the statistical foundation of the second law of thermodynamics3. TheH-theorem states that iff(x;v;τ) is the distribution density of molecules of the ideal gas at the timeτ, positionxand velocityv, which satisfies the kinetic equation, then entropy ...