Fourier transform differences and averaged similarities in diatoms

Sexual similarities and differences in jealousy: Comparing men and women in response to infidelity

Introduction:The purpose of this study is to determine the gender differences in Jealousy between men and women. It is assumed that men are disturbed more than sexual infidelity and women more than emotional Infidelity. Method: In order to investigate the research questions, samples were selected from students and educators in Golestan province. The statistical population of the present study i...

Differences and Similarities in Attentional Bias between Patients with Bipolar II Disorder and Borderline Personality Disorder

Background and purpose: The boundary between bipolar disorder and borderline personality disorder has always been a matter of debate. Despite the importance of this issue, only a few studies have directly compared these two groups. The main purpose of this study was to compare the cognitive profile of patients with bipolar disorder and borderline personality disorder in terms of attentional bia...

Finite Fourier Transform, Circulant Matrices, and the Fast Fourier Transform

Suppose we have a function s(t) that measures the sound level at time t of an analog audio signal. We assume that s(t) is piecewise-continuous and of finite duration: s(t) = 0 when t is outside some interval a ≤ t ≤ b. Make a change of variable x = (t− a)/(b− a) and set f(x) = s(t). Then 0 ≤ x ≤ 1 when a ≤ t ≤ b, and f(x) is a piecewise continuous function of x. We convert f(x) into a digital s...

Fourier Transform Infrared and Fourier Transform Raman Spectroscopy of Polymers

This chapter covers the fundamental principles and current applications of Fourier transform (FT) infrared and Fourier transform Raman spectroscopies as utilized in the analysis of polymeric materials. The primary emphasis of the first part is on the principles and advantages of these interferometric methods, whereas the remaining sections illustrate numerous applications focusing on the struct...

Discrete integer Fourier transform in real space: elliptic Fourier transform