Mathematical analysis

Cauchy index

In mathematical analysis, the Cauchy index is an integer associated to a real rational function over an interval. By the Routh–Hurwitz theorem, we have the following interpretation: the Cauchy index of r(x) = p(x)/q(x) over the real line is the difference between the number of roots of f(z) located in the right half-plane and those located in the left half-plane. The complex polynomial f(z) is such that f(iy) = q(y) + ip(y). We must also assume that p has degree less than the degree of q. (Wikipedia).

Cauchy index
Video thumbnail

Computing z-scores(standard scores) and comparing them

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Computing z-scores(standard scores) and comparing them

From playlist Statistics

Video thumbnail

Percentiles, Deciles, Quartiles

Understanding percentiles, quartiles, and deciles through definitions and examples

From playlist Unit 1: Descriptive Statistics

Video thumbnail

Statistics 3 Measures of Central Tendency.mov

Discussing measures of central tendency, such as mean or average, median, and mode.

From playlist Medical Statistics

Video thumbnail

Statistics Lecture 3.3: Finding the Standard Deviation of a Data Set

https://www.patreon.com/ProfessorLeonard Statistics Lecture 3.3: Finding the Standard Deviation of a Data Set

From playlist Statistics (Full Length Videos)

Video thumbnail

What is a Z-Score?

Confused about what a z-score is and how it relates to a bell curve? This short video explains in plain English what a z score is and what it's used for. Check out my Statistics Handbook: https://www.statisticshowto.com/the-practically-cheating-statistics-handbook/ Thanks for your support!

From playlist z-test

Video thumbnail

Covariance (1 of 17) What is Covariance? in Relation to Variance and Correlation

Visit http://ilectureonline.com for more math and science lectures! To donate:a http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between the variance and the covariance. A variance (s^2) is a measure of how spread out the numbers of

From playlist COVARIANCE AND VARIANCE

Video thumbnail

Statistics Lecture 5.2: A Study of Probability Distributions, Mean, and Standard Deviation

https://www.patreon.com/ProfessorLeonard Statistics Lecture 5.2: A Study of Probability Distributions, Mean, and Standard Deviation

From playlist Statistics (Full Length Videos)

Video thumbnail

Christian Bär: Local index theory for Lorentzian manifolds

HYBRID EVENT We prove a local version of the index theorem for Dirac-type operators on globally hyperbolic Lorentzian manifolds with Cauchy boundary. In case the Cauchy hypersurface is compact, we do not assume self-adjointness of the Dirac operator on the spacetime or of the associated el

From playlist Mathematical Physics

Video thumbnail

Math 131 Fall 2018 102918 Subsequences

Definition of subsequence. A sequence converges iff every subsequence converges. Sequence in a compact space has a convergent subsequence. Corollary: bounded sequences in Euclidean space have convergent subsequences. Cauchy sequences. Convergent implies Cauchy. Definition of diameter

From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)

Video thumbnail

Excel 2013 Statistical Analysis #24: Numerical Measures: Covariance and Correlation Coefficient

Download file: https://people.highline.edu/mgirvin/AllClasses/210Excel2013/Ch03/Excel2013StatisticsChapter03.xlsm Topics in this video: 1. (00:15) Review of different X-Y Scatter 2. (02:42) Add Xbar Line and Ybar Line to X Y Scatter Chart to help interpret how Covariance is calculated and

From playlist Excel for Statistical Analysis in Business & Economics Free Course at YouTube (75 Videos)

Video thumbnail

Transversality and super-rigidity in Gromov-Witten Theory (Lecture – 02) by Chris Wendl

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

Video thumbnail

Math 131 102416 Cauchy Sequences, Completeness of Real Numbers

Subsequences: definition; sequence in a compact metric space has a convergence subsequence. Cauchy sequences: definition, diameter of a set, facts about diameter (diameter of closure is the same, intersection of nest compact sets of diameters decreasing to zero is a single point); converg

From playlist Course 7: (Rudin's) Principles of Mathematical Analysis

Video thumbnail

Real Analysis - Part 17 - Cauchy Criterion

Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.

From playlist Real Analysis

Video thumbnail

Local polynomial convexity of a certain class of surfaces by Sushil Gorai

PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo

From playlist Cauchy-Riemann Equations in Higher Dimensions 2019

Video thumbnail

Banach Spaces part 1

Lecture with Ole Christensen. Kapitler: 00:00 - Banach Spaces; 06:30 - Cauchy Sequences; 12:00 - Def: Banach Space; 15:45 - Examples; 17:15 - C[A,B] Is Banach With Proof; 36:30 - Ex: Sequence Space L^1(N); 46:45 - Sequence Space L^p(N);

From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math

Video thumbnail

Real Analysis - Part 22 - Cauchy Product [dark version]

Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.

From playlist Real Analysis [dark version]

Video thumbnail

Real Analysis - Part 22 - Cauchy Product

Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.

From playlist Real Analysis

Video thumbnail

Statistics Lecture 7.2: Finding Confidence Intervals for the Population Proportion

https://www.patreon.com/ProfessorLeonard Statistics Lecture 7.2: Finding Confidence Intervals for the Population Proportion

From playlist Statistics (Full Length Videos)

Related pages

One-sided limit | Rational function | Interval (mathematics) | Routh–Hurwitz theorem | Augustin-Louis Cauchy | Integer | Chebyshev polynomials | Imaginary number | Mathematical analysis