Analytic number theory

Determinant method

In mathematics, the determinant method is any of a family of techniques in analytic number theory. The name was coined by Roger Heath-Brown and comes from the fact that the center piece of the method is estimating a certain determinant. Its main application is to give an upper bound for the number of rational points of bounded height on or near algebraic varieties defined over the rational numbers. The main novelty of the determinant method is that in all incarnations, the estimates obtained are uniform with respect to the coefficients of the polynomials defining the variety and only depend on the degree and dimension of the variety. (Wikipedia).

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Properties of Determinants 1

This video explains how to find the value of determinants using determinant properties.

From playlist The Determinant of a Matrix

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Ex: Determinant of a 2x2 Matrix

This video provides two examples of calculating a 2x2 determinant. One example contains fractions. Site: http://mathispower4u.com

From playlist The Determinant of a Matrix

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Linear Algebra: Ch 2 - Determinants (1 of 48) What is a Determinant? (Part 1)

Visit http://ilectureonline.com for more math and science lectures! In this video I will give a general definition of “What is a Determinant?” (Part 1) Next video in this series can be seen at: https://youtu.be/vIHnlNjRnGU

From playlist LINEAR ALGEBRA 2: DETERMINANTS

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9D The Determinant

A combinatorial approach to the determinant using permutations.

From playlist Linear Algebra

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(3.2.3) The Determinant of Square Matrices and Properties

This video defines the determinant of a matrix and explains what a determinant means in terms of mapping and area. https://mathispower4u.com

From playlist Differential Equations: Complete Set of Course Videos

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The Determinant of a 4 by 4 Matrix Using Cofactor Expansion (Expansion by Minors)

This video explains how to find a determinant of a 4 by 4 matrix using cofactor expansion.

From playlist The Determinant of a Matrix

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Properties of Determinants 2

This video explains how to find the value of determinants using determinant properties.

From playlist The Determinant of a Matrix

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Linear Algebra: Ch 2 - Determinants (2 of 48) What is a Determinant? (Part 2)

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the notation of and how to calculated a determinant. (Part 2) Next video in this series can be seen at: https://youtu.be/k3ZmxI267Zo

From playlist LINEAR ALGEBRA 2: DETERMINANTS

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Linear Algebra: Ch 2 - Determinants (4 of 48) What is a Determinant? (Part 4)

Visit http://ilectureonline.com for more math and science lectures! In this video I will summarize all the uses for determinants. (Part 4) Next video in this series can be seen at: https://youtu.be/HVQMHiSaVps

From playlist LINEAR ALGEBRA 2: DETERMINANTS

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PauliNet - Deep neural network solution of the electronic Schrödinger equation

Paper: https://arxiv.org/abs/1909.08423 Code: https://github.com/deepqmc/deepqmc

From playlist Research

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Determinants of (2 x 2) and (3 x 3) matrices – big difference!

How to find the determinant of a 2 x 2 matrix and 3 x 3 matrix - step by step. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable workshe

From playlist Pre-Calculus / Trigonometry

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2 Equations 2 Unknowns. A High School Math Explainer

0:00 Intro 0:58 The substitution method 08:12 The like coefficients method 14:09 The determinant method 20:33 Discussion Equations: https://youtu.be/NtX98LNHO6k In algebra, a system of two equations with two unknowns can be solved by several different methods. This video covers algebraic

From playlist Summer of Math Exposition 2 videos

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Roger Heath Brown: The Determinant Method, Lecture III

Lecture 1 will set the background for the course, describing the problem of counting rational points on algebraic varieties, the phenomena that can arise, and some of the results which have been proved. Lecture 2 will prove the basic theorem of the p-adic Determinant Method. Lecture 3 will

From playlist Harmonic Analysis and Analytic Number Theory

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(1.7.2) Use the Improved Euler's Method to Approximate a Solution Function Value

This video explains how to use the improved Euler's method to approximate function value of the solution to an initial value problem. https://mathispower4u.com

From playlist Differential Equations: Complete Set of Course Videos

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Mod-01 Lec-18 L U decomposition

Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics

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Serre's Conjectures on the Number of Rational Points of Bounded Height - Per Salberger

Per Salberger Chalmers University of Technology April 28, 2011 JOINT IAS/PU NUMBER THEORY SEMINAR We give a survey of recent results on conjectures of Heath-Brown and Serre on the asymptotic density of rational points of bounded height. The main tool in the proofs is a new global determin

From playlist Mathematics

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Want to PASS Algebra 2, Pre-Calculus, College Algebra? Better know this….

TabletClass Math: https://tcmathacademy.com/ Pre-Calculus Course: https://tabletclass-academy.teachable.com/p/tabletclass-math-pre-calculus Math help with finding the determinant of a 3 x 3 matrix. For more math help to include math lessons, practice problems and math tutorials check

From playlist Pre-Calculus / Trigonometry

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Ex: Determine if a 3x3 Matrix is Invertible (nonsingular) Using a Determinant

This video explains how to use a determinant to determine if a 3x3 matrix is invertible. http://mathispower4u.com

From playlist The Determinant of a Matrix

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Analytical Method of Vector Addition

Adding perpendicular vectors isn't so difficult. Pull out the Pythagorean theorem and you're done. But what about those pesky non-perpendicular vectors? How do you add three vectors, all of which are at angles to the x- and y-axes? Easy ... turn them into perpendicular vectors and you'll b

From playlist Vectors and Projectiles Video Tutorial Series

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Adjugate Matrix

In this video, I define the notion of adjugate matrix and use it to calculate A-1 using determinants. This is again beautiful in theory, but inefficient in examples. Adjugate matrix example: https://youtu.be/OFykHi0idnQ Check out my Determinants Playlist: https://www.youtube.com/playlist

From playlist Determinants

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Dimension | Arakelov theory | Mathematics | Analytic number theory | Determinant | Weighted projective space