![functional analysis - Show that the exponentials $1, e^{2\pi ix}, \dots , e^{2\pi ikx}, \dots$ form the basis for trigonometric polynomials. - Mathematics Stack Exchange functional analysis - Show that the exponentials $1, e^{2\pi ix}, \dots , e^{2\pi ikx}, \dots$ form the basis for trigonometric polynomials. - Mathematics Stack Exchange](https://i.stack.imgur.com/tXPHW.png)
functional analysis - Show that the exponentials $1, e^{2\pi ix}, \dots , e^{2\pi ikx}, \dots$ form the basis for trigonometric polynomials. - Mathematics Stack Exchange
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![sum(i=1)^(2n) sin^(-1)(xi)=npi then the value of sum(i=1)^n cos^(-1 )xi+sum(i=1)^n tan^(-1)xi= (A) (npi)/4 (B) (2/3)npi (C) (5/4)npi (D) 2npi sum(i=1)^(2n) sin^(-1)(xi)=npi then the value of sum(i=1)^n cos^(-1 )xi+sum(i=1)^n tan^(-1)xi= (A) (npi)/4 (B) (2/3)npi (C) (5/4)npi (D) 2npi](https://d10lpgp6xz60nq.cloudfront.net/ss/web/75564.jpg)
sum(i=1)^(2n) sin^(-1)(xi)=npi then the value of sum(i=1)^n cos^(-1 )xi+sum(i=1)^n tan^(-1)xi= (A) (npi)/4 (B) (2/3)npi (C) (5/4)npi (D) 2npi
Species Ni = abundance of each species Pi = (Ni/N) ln(Pi) - (Pi x ln(Pi)) CATDOM CHIPMUNK COYOTE DEER FLYING SQUIRREL FOX SQUIRR
![A) Chao1 index, (B) Shannon index, (C) Gini-Simpson index (1-λ), and... | Download Scientific Diagram A) Chao1 index, (B) Shannon index, (C) Gini-Simpson index (1-λ), and... | Download Scientific Diagram](https://www.researchgate.net/publication/352264560/figure/fig2/AS:1032962070024193@1623288757409/A-Chao1-index-B-Shannon-index-C-Gini-Simpson-index-1-l-and-D-rarefaction.png)