1 мая 2019 г. · I understand that exponential functions of the form eaix;i=1,2,..,n and ais are real and distinct are linearly independent. Do these form the ...

4 июн. 2020 г. · Does L2([0,∞)) have a Hilbert basis consisting of "nice" exponentials, anebnx,an>0,bn∈C, where "nice" means that an and bn are given by a simple ...

28 авг. 2022 г. · You can get all the 4 vectors as a linear combination of these three elementary functions.

16 апр. 2021 г. · Integrals and exponential functions as basis of functions ... I have a simple question. If two 2π- periodic functions f(x) and u(x) satisfy ∫2π0f( ...

12 дек. 2017 г. · You can develop an exponential interpolation using the basis 1,exp(x),exp(2x),exp(3x),...,exp(nx). To do so, adjust Lagrange interpolation polynomial to ...

3 дек. 2020 г. · The problem can be translated into a rather analytical form as: the linear combination of n distinct exponential functions can't have n distinct zeros.

16 июл. 2014 г. · A basis for a given space is thus defined as a set of vectors or functions whose span is the space itself. An efficient basis, then, is ...

24 авг. 2012 г. · 2D basis functions orthogonal under exponential kernel ... The Zernike polynomials are orthogonal, but with uniform weight and over the unit disk.

30 авг. 2012 г. · Basis for functions other than the exponential functions · calculus · functional-analysis · ordinary-differential-equations · Share.

26 июн. 2020 г. · The basis remains the infinite row of (co)sines, the exponential occurs without the need for it to be part of a basis. Share.