Of course. A lot of this is a question of your skill at programming, and your understanding of the problem you wish to solve, not the language itself. Is there some best possible language to do something like this? Not really. Again, your skill i...
Functions of the form w(z)F(z) with F analytic and w(z)=1, , or are approximated in the ellipse by w(z)pn(z), where pn is a polynomial of degree n. Here pn is obtained by the expansion of F in Chebyshev polynomials of the first, second, third or fourth kinds, corresponding ...
Currently, students are increasingly related to technology. In the case of mathematics, calculators are one of the tools of great importance and help. In addition, its use helps us to solve problems faster.Answer and Explanation: Why is it ...
The FEP is concerned with self-organisation, which calls for anindividuationof ‘self’ from nonself. We consider a particular partition of (generalised) states necessary to separate the internal states of something (i.e., a particle) from its external states. This partition is defined in terms...
Here, for simplicity of notations, we write x0 = t. We assume that compactly supported nonnegative data f and g satisfy f (x), g(x) ≥ 0, f (x) = g(x) = 0 for |x| > 1. (5) Here we give one of our main results. Theorem 1 Let f , g be smooth functions with ...
Afterwards, we explain our new techniques to cut tilings (Section 3) and we show how to combine them with the machinery of height functions (Section 4) to get a quadratic tiling algorithm and prove the flip connectivity. We finish with the particular cases where at least one side of a ...
Here we give one of our main results. Theorem 1 Letf,gbe smooth functions with compact supportf,g\in \mathbb{C}_{0}^{\infty }and satisfy(5),space dimensionsn\geq 2.Assume that problem(3)has a solution(u,u_{t})\in \mathbb{C}([0,T),\mathbb{H}^{1}(\mathbb{R}^{n})\time...
in their Python environment: sys, os, shutil, scipy, argparse, collections, platform, math, re, numpy (1.13.1), sklearn (0.19.1), matplotlib (2.1.0), and pandas (0.20.1). For convenience, we strongly recommended users to install the Anaconda Python 3.0 version (or above) in your ...
,Dj are constants and all the functions appeared in (3.1) belong to {0) In the fi rst equation of (3.1),by extending t to 一。。< t < +。。,we get an equation Alw(t)+ B1w(一t)+ CiTw(t)+ 1 (一t)+ kl ( )+ hi (一t) = g(t) + 一(￡),一。。< t < +...
were firstly studied by John [8] whenn=3. More precisely, he showed that the semilinear wave equation (1) has the global solutions ifp>1+2and initial data are sufficiently small. Meanwhile, he proved the finite time blow-up of solutions ifp<1+2and the initial data are not both identica...