Partial differential equations
The primitive equations are a set of nonlinear partial differential equations that are used to approximate global atmospheric flow and are used in most atmospheric models. They consist of three main sets of balance equations: 1. * A continuity equation: Representing the conservation of mass. 2. * Conservation of momentum: Consisting of a form of the Navier–Stokes equations that describe hydrodynamical flow on the surface of a sphere under the assumption that vertical motion is much smaller than horizontal motion (hydrostasis) and that the fluid layer depth is small compared to the radius of the sphere 3. * A thermal energy equation: Relating the overall temperature of the system to heat sources and sinks The primitive equations may be linearized to yield Laplace's tidal equations, an eigenvalue problem from which the analytical solution to the latitudinal structure of the flow may be determined. In general, nearly all forms of the primitive equations relate the five variables u, v, ω, T, W, and their evolution over space and time. The equations were first written down by Vilhelm Bjerknes. (Wikipedia).
Math tutorial for solving rational equations
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual rationa
From playlist How to Solve Rational Equations with an Integer
What are complex numbers and the equality of complex numbers
👉 Learn about solving rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual ration
From playlist How to Solve Rational Equations | Learn About
Solve an equation with a rational term
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual rationa
From playlist How to Solve Rational Equations with an Integer
👉 Learn about solving rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual ration
From playlist How to Solve Rational Equations | Learn About
What are the restrictions we put on a rational expression
👉 Learn about solving rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual ration
From playlist How to Solve Rational Equations | Learn About
Solve Rational Equation with Quadratic formula
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual rationa
From playlist How to Solve Rational Equations with an Integer
Learn how to solve a rational equation when the solution does not work when plugged in
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual rationa
From playlist How to Solve Rational Equations with an Integer
Solving two step equations with a rational expression on one side
👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or) denominator are polynomials. To solve for a variable in a
From playlist Solve Two Step Equations with a Rational Fraction
How to solve a rational equation
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual rationa
From playlist How to Solve Rational Equations with an Integer
Lecture 13: Spatial Data Structures (CMU 15-462/662)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/
From playlist Computer Graphics (CMU 15-462/662)
Hülya Argüz - Gromov-Witten Theory of Complete Intersections 1/3
I will describe an inductive algorithm computing Gromov-Witten invariants in all genera with arbitrary insertions of all smooth complete intersections in projective space. This uses a monodromy analysis, as well as new degeneration and splitting formulas for nodal Gromov--Witten invariants
From playlist Workshop on Quantum Geometry
CTNT 2018 - "L-functions and the Riemann Hypothesis" (Lecture 3) by Keith Conrad
This is lecture 3 of a mini-course on "L-functions and the Riemann Hypothesis", taught by Keith Conrad, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - "L-functions and the Riemann Hypothesis" by Keith Conrad
Primitive Roots -- Number theory 17
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From playlist Number Theory v2
Primitive Roots modulo n — Number Theory 17
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From playlist Number Theory
Séminaires du Magistère de Mathématiques 2017 - Emmanuel Peyre
Des nombres... au hasard 19 octobre 2017
From playlist Séminaires du Magistère de Mathématiques
Number Theory | Primitive Pythagorean Triples
We derive the structure of all primitive Pythagorean triples.
From playlist Number Theory
Number Theory: Primitive Roots - Oxford Mathematics 2nd Year Student Lecture
Like many Universities around the world, Oxford has gone online for lockdown. So how do our student lectures look? In this, the second online lecture we are making widely available, world-renowned mathematician Ben Green introduces and delivers a short lecture on Primitive Roots, part of t
From playlist Oxford Mathematics 2nd Year Student Lectures
Quadratic Residues Always Have Even Index
Congruence of powers of primitive roots: https://youtu.be/TfZ9nPfOhQ0 Intro to Indices: https://youtu.be/jLeNX2jYuUs Intro to Quadratic Residues: https://youtu.be/M6gDsFhQugM When working with quadratic residues, it's useful to leverage our knowledge of indices. Here we prove a few key
From playlist Quadratic Residues
Holomorphic Curves and the ADHM Vortex Equations by Aleksander Doan
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
How to solve a Rational Equation with one solution
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of the ways is by multiplying all the individual rationa
From playlist How to Solve Rational Equations with an Integer