Modular arithmetic | Theorems in number theory | Algebraic number theory
Quartic or biquadratic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x4 β‘ p (mod q) is solvable; the word "reciprocity" comes from the form of some of these theorems, in that they relate the solvability of the congruence x4 β‘ p (mod q) to that of x4 β‘ q (mod p). (Wikipedia).
Given the properties of a rectangle determine the value of x
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Using the properties of rectangles to solve for x
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Writing a two column proof using properties of rectangles for triangle congruence
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Using the properties of a rectangle to find the missing value of an angle
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
What are the properties that make up a rectangle
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
Determine the length of a diagonal of a rectangle
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
KS5 - Cubic, Quartic & Reciprocal Graphs
"Graphs of more general functions, including reciprocal, cubic and quartic functions."
From playlist KS5 - Cubic, Reciprocal & Other Graphs
Livestream - Chapter 4 (4.3, 4.4): Graphs and transformations - AS/Year 12 Mathematics Revision
Join me in the live streams as I work through the AS/Year 12 content of the A-level curriculum. You can access the book I am using for free here: https://www.pearson.com/uk/learners/secondary-students-and-parents.html (you need to scroll down to "free e-book access") playlist: https:/
From playlist AS/Year 12 Summer Series
Writing a proof to prove a parallelogram is a rectangle
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles
All of Graphs and Transformations in 30 Minutes! | Chapter 4 | A-Level Pure Maths Revision
A video revising the techniques and strategies required for all of the AS Level Pure Mathematics chapter on Graphs and Transformations that you need to achieve a grade C-A* in your A-Level Pure Maths. These topics are the essential question styles that appear in the Quadratics Module. Thi
From playlist A-Level Maths Series - Pure Mathematics
Year 12/AS Pure Chapter 4.3 (Graphs and Transformations)
This video builds on the skills practiced last lesson where we sketched quartics. We now take a look at how we can apply similar ideas to sketch reciprocal functions, as well as finding the points of intersection between functions and coordinate axes. This lesson is meant as preparation f
From playlist Year 12/AS Edexcel (8MA0) Mathematics: FULL COURSE
This is a video I have been wanting to make for some time, in which I discuss what the quaternions are, as mathematical objects, and how we do calculations with them. In particular, we will see how the fundamental equation of the quaternions i^2=j^2=k^2=ijk=-1 easily generates the rule for
From playlist Quaternions
Livestream - Chapter 4 (4.1, 4.2): Graphs and transformations - AS/Year 12 Mathematics Revision
Join me in the live streams as I work through the AS/Year 12 content of the A-level curriculum. You can access the book I am using for free here: https://www.pearson.com/uk/learners/secondary-students-and-parents.html (you need to scroll down to "free e-book access") playlist: https:/
From playlist AS/Year 12 Summer Series
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
Henri Darmon: Andrew Wiles' marvelous proof
Abstract: Pierre de Fermat famously claimed to have discovered βa truly marvelous proofβ of his last theorem, which the margin in his copy of Diophantus' Arithmetica was too narrow to contain. Fermat's proof (if it ever existed!) is probably lost to posterity forever, while Andrew Wiles' p
From playlist Abel Lectures
Types of Graphs GCSE 9-1 Maths Grade 5/6 Cross over Topics AQA/Edexcel/OCR/WJEC/IGCSE/CIE EXAM BOARD
Hi All This week's video looks at Types of Graphs GCSE Maths 9-1 for recognising types of Graphs. Any questions or concerns please feel free to leave me a comment in the comments section. Please could you subscribe, like, comment, share and spread the word to friends and family about
From playlist GCSE Maths!!
Year 12/AS Pure Chapter 4.2 (Graphs and Transformations)
This video builds on the skills practiced last lesson where we sketched cubics. We now take a look at how we can apply similar ideas to sketch quartic functions. This lesson is meant as preparation for Exercise 4B, page 65 of the Pearson Edexcel Pure Mathematics Year 1/AS Textbook: bit.ly
From playlist Year 12/AS Edexcel (8MA0) Mathematics: FULL COURSE
solving polynomial equations but they get increasingly more awesome
Solving polynomial equations but they get increasingly more awesome. We will also be solving them with different methods such as using the quadratic formula, factoring by grouping, a special way to complete the square, and also utilizing the 6th root of unity. Try this EXTREME quintic equ
From playlist Binge-able math for fun videos (2022)
Persistence of the Brauer-Manin obstruction under field extension - Viray - Workshop 2 - CEB T2 2019
Bianca Viray (University of Washington) / 27.06.2019 Persistence of the Brauer-Manin obstruction under field extension. We consider the question of when an empty Brauer set over the ground field gives rise to an empty Brauer set over an extension. We first consider the case of quartic d
From playlist 2019 - T2 - Reinventing rational points
Find the missing value of x using the diagonals of a rectangle
π Learn how to solve problems with rectangles. A rectangle is a parallelogram with each of the angles a right angle. Some of the properties of rectangles are: each pair of opposite sides are equal, each pair of opposite sides are parallel, all the angles are right angles, the diagonals are
From playlist Properties of Rectangles