Graph families | Perfect graphs | Intersection classes of graphs
In graph theory, a Ptolemaic graph is an undirected graph whose shortest path distances obey Ptolemy's inequality, which in turn was named after the Greek astronomer and mathematician Ptolemy. The Ptolemaic graphs are exactly the graphs that are both chordal and distance-hereditary; they include the block graphs and are a subclass of the perfect graphs. (Wikipedia).
This geometry video tutorial provides a basic introduction into the pythagorean theorem. It explains how to use it to find missing sides and solve for x. In addition, it provides examples of solving word problems using pythagorean theorem for shapes such as right triangles, squares, rhom
From playlist Geometry Video Playlist
Pythagorean Theorem I (visual proof)
This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) using the hypotenuses of scaled triangles. This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths. #mathshorts #mathvide
From playlist Pythagorean Theorem
Use PEMDAS to simplify two rational expressions (2(–5+3)/(–2)^2)–((–3^2 + 2)*3)/(3–(–4))
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis
From playlist Simplify Expressions Using Order of Operations
Pre-Calculus - The Pythagorean Identities
This video will give you an introduction to the Pythagorean Identities like sin^2(x) + cos^2(x) = 1. Also included in this video is a brief proof why it works, and how they are all connected. Watch near the end for a couple of examples on using these identities. For more videos please v
From playlist Pre-Calculus
Diadochi and the Hellenistic Period | World History | Khan Academy
Alexander's Empire fragments into Seleucid Persia, Ptolemaic Egypt and Antigonid Macedonia (and other kingdoms) and gives rise to the Hellenistic Period. Missed the previous lesson? Watch here: https://www.khanacademy.org/humanities/world-history/ancient-medieval/alexander-the-great/v/ale
From playlist 600 BCE - 600 CE Second-Wave Civilizations | AP World History | Khan Academy
Pythagorean Theorem II (visual proof)
This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) using a dissection of a square in two different ways. This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths. #mathshort
From playlist Pythagorean Theorem
Simplifying an expression with parenthesis ex 3, 52 + 8^2 - 3(4 - 2)^3
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis
From playlist Simplify Expressions Using Order of Operations
Physics 20B. Cosmology. Lec. 3: Revolutions
UCI Physics 20B: Cosmology (Winter 2015) Lec 03. Cosmology -- Revolutions View the complete course: http://ocw.uci.edu/courses/physics_20b_cosmology.html Instructor: James Bullock, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.u
From playlist Physics 20B: Cosmology
Buy the chart: https://usefulcharts.com/products/ancient-history-family-trees Think the Habsburgs were weird? Wait 'til you hear about the Ptolemies! Alexander the Great Family Tree: https://www.youtube.com/watch?v=NgK4fJ709Xo Egyptian Pharaohs Family Tree (Dynasties 18-20): https://ww
From playlist Royal Family Trees
Teach Astronomy - Problems With Greek Cosmology
http://www.teachastronomy.com/ The Greek geocentric cosmology of Aristotle, as propagated by Ptolemy, was highly complex in trying to explain the motions within the solar system. Because the planets do not have uniform motion, the model needed the centers of their motion to be displaced f
From playlist 03. Concepts and History of Astronomy and Physics
Statistical Rethinking 2023 - 07 - Fitting Over & Under
Course materials: https://github.com/rmcelreath/stat_rethinking_2023 Intro: https://www.youtube.com/watch?v=PDohhCaNf98 Outline 00:00 Introduction 09:00 Cross-validation 22:55 Regularization 30:15 Pause 30:53 Importance sampling and information criteria 36:46 Model mis-selection 47:30 Ro
From playlist Statistical Rethinking 2023
Using order of operations to simplify an expression
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis
From playlist Simplify Expressions Using Order of Operations
How to simplify an expression by following order of operations and distributive property
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis
From playlist Simplify Expressions Using Order of Operations
18. Don Quixote, Part II: Chapters XXII-XXXV (cont.)
Cervantes' Don Quixote (SPAN 300) The fact that the second part of the Quixote is the first political novel is manifested in several ways. The second part adds (taken from the picaresque novel) geographic concreteness to its realistic portrayal of Spanish life and sociopolitical backgro
From playlist Cervantes' Don Quixote with Roberto González Echevarría
How to simplify an expression using PEMDAS with Brackets
👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis
From playlist Simplify Expressions Using Order of Operations
Cleopatra - Hail Caesar! - Extra History - #2
Watch this video ad-free on Nebula: https://nebula.tv/videos/extra-history-cleopatra-hail-caesar-extra-history-2 What's a girl to do when your brother-husband is trying to murder you? Well, cozy up to one of the world's largest military powers of course. But while Cleopatra knew that she
From playlist Extra History: Cleopatra
Greek Science | Introductory Astronomy Course 1.13
Welcome to Astronomy: Exploring Time and Space, a course from Professor Impey, a University Distinguished Professor of Astronomy at the University of Arizona. Learn about the foundations of astronomy in this free online course here on YouTube. This video is part of module 1, Science and Hi
From playlist Introductory Astronomy Module 1: Science and History
Physics 20E. Life in the Universe. Lec. 2: Defining Life and Our Place in the Universe
UCI Physics 20E: Life in the Universe (Spring 2015) Lec 02. Life in the Universe -- Defining Life & Our Place in the Universe View the complete course: http://ocw.uci.edu/courses/physics_20e_life_in_the_universe.html Instructor: James Bullock, Ph.D. License: Creative Commons CC-BY-SA Term
From playlist Physics 20E: Life in the Universe
Pythagorean theorem proof by scaling
This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) using the hypotenuses of scaled triangles. This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths. #mathshorts #mathvide
From playlist MathShorts
http://www.teachastronomy.com/ The man responsible for the Copernican revolution was born in Poland. He was widely read, a master of Greek and Latin, a doctor of law, and a doctor of philosophy, and a doctor of medicine. This highly educated man was also a minor official in the Catholic
From playlist 03. Concepts and History of Astronomy and Physics