Mathematical relations | Mathematical terminology
In mathematics, a property is any characteristic that applies to a given set. Rigorously, a property p defined for all elements of a set X is usually defined as a function p: X → {true, false}, that is true whenever the property holds; or equivalently, as the subset of X for which p holds; i.e. the set {x | p(x) = true}; p is its indicator function. However, it may be objected that the rigorous definition defines merely the extension of a property, and says nothing about what causes the property to hold for exactly those values. Examples of properties include: Parity is the property of an integer of whether it is even or odd. There is the commutative property of real and complex numbers and the distributive property. (Wikipedia).
Properties of Real Numbers: Mixed Review
This video explains and provides examples of the properties of real numbers. http://mathispower4u.com
From playlist Sets of Numbers/Properties of Real Numbers
The Distributive Property for Arithmetic
We know about the commutative property and the associative property, but there are more to learn! This next one, the distributive property, is very important in algebra, so let's introduce it now so that when we get there we already have this covered. Watch the whole Mathematics playlist:
From playlist Mathematics (All Of It)
Identify Multiplication Properties of Real Numbers
This video explains and provides examples of the properties of real numbers. http://mathispower4u.com
From playlist Number Sense - Properties of Real Numbers
Introduction to the Distributive Property
This video explains the distributive property and provides examples on how to use the distributive property. http://mathispower4u.yolasite.com/
From playlist The Distributive Property and Simplifying Algebraic Expressions
This video defines the properties of real numbers and then provides examples of the properties by rewriting and simplifying expressions. http://mathispower4u.com
From playlist Number Sense - Properties of Real Numbers
I introduce the basic Properties of Real Numbers: Commutative Property of Addition and Multiplication, Associative Property of Addition and Multiplication, Identity Property of Multiplication, Identity Property of Addition, Zero Product Property, and Multiplying by Negative One. I also d
From playlist Algebra 1
Math 131 Lecture #04 091216 Complex Numbers, Countable and Uncountable Sets
Recall the complex numbers: the plane with addition and multiplication. Geometric interpretation of operations. Same thing as a+bi. Complex conjugate. Absolute value (modulus) of a complex numbers; properties (esp., triangle inequality). Cauchy-Schwarz inequality. Recall Euclidean sp
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
The problem with `functions' | Arithmetic and Geometry Math Foundations 42a
[First of two parts] Here we address a core logical problem with modern mathematics--the usual definition of a `function' does not contain precise enough bounds on the nature of the rules or procedures (or computer programs) allowed. Here we discuss the difficulty in the context of funct
From playlist Math Foundations
http://www.teachastronomy.com/ A lot of fundamental concepts in physics are based on the idea of symmetry. Symmetry is familiar to us in an aesthetic sense. It often means things that have pleasing proportion, or look the same from every direction, or have a harmonious nature about them.
From playlist 23. The Big Bang, Inflation, and General Cosmology 2
Max Tegmark - Is Mathematics Eternal?
Mathematics is like nothing else. The truths of math seem to be unrelated to anything else—independent of human beings, independent of the universe. The sum of 2 + 3 = 5 cannot be untrue; this means that 2 + 3 = 5 would be true even if there were never any human beings, even if there were
From playlist Closer To Truth - Max Tegmark Interviews
Topology Without Tears - Video 4d - Writing Proofs in Mathematics
This is part (d) of the fourth video in a series of videos which supplement my online book "Topology Without Tears" which is available free of charge at www.topologywithouttears.net Video 4 focusses on the extremely important topic of writing proofs. This video is about Mathematical Induc
From playlist Topology Without Tears
Inference: A Logical-Philosophical Perspective - Moderated Conversation w/ A.C. Paseau and Gila Sher
Inference: A Logical-Philosophical Perspective. Moderated Conversation with Gila Sher, Department of Philosophy, University of California, San Diego on the talk by Alexander Paseau, Faculty of Philosophy, University of Oxford. The Franke Program in Science and the Humanities Understandi
From playlist Franke Program in Science and the Humanities
Benedikt Ahrens - Univalent Foundations and the UniMath library - IPAM at UCLA
Recorded 13 February 2023. Benedikt Ahrens of Delft University of Technology presents "Univalent Foundations and the UniMath library" at IPAM's Machine Assisted Proofs Workshop. Abstract: Univalent Foundations (UF) were designed by Voevodsky as a foundation of mathematics that is "invarian
From playlist 2023 Machine Assisted Proofs Workshop
Our Mathematical Universe with Max Tegmark
Our universe isn't just described by mathematics, but it is mathematics. Specifically, it's a mathematical structure. Our world doesn't just have some mathematical properties: it fundamentally has only mathematical properties. Subscribe for more science talks! http://bit.ly/RiSubscRibe Bu
From playlist Ri Talks
Is the Universe Entirely Mathematical? Feat. Max Tegmark
Thanks to Max Tegmark for writing & narrating this video, it's based on his book which you can find here on Amazon: http://amzn.to/2i26PDI Thanks to Radiolab for letting me visit them in New York for a month; this video was made in their office! MinutePhysics is on Google+ - http://bit.l
From playlist MinutePhysics
Isomorphic Structures of any Kind are `Equal' in HoTT: But What... Structure? - Peter Aczel
Peter Aczel The Unviersity of Manchester; Member,School of Mathematics February 7, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Gödel's Incompleteness Theorems: An Informal Introduction to Formal Logic #SoME2
My entry into SoME2. Also, my first ever video. I hope you enjoy. The Book List: Logic by Paul Tomassi A very good first textbook. Quite slow at first and its treatment of first-order logic leaves a little to be desired in my opinion, but very good on context, i.e. why formal logic is im
From playlist Summer of Math Exposition 2 videos
Properties of Exponents Multiplication & Power
I introduce the multiplication property and power property of exponents. I finish off this video working though any examples. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" butt
From playlist Algebra 2
Max Tegmark - Is Mathematics Eternal?
Mathematics is like nothing else. The truths of math seem to be unrelated to anything else—independent of human beings, independent of the universe. The sum of 2 + 3 = 5 cannot be untrue; this means that 2 + 3 = 5 would be true even if there were never any human beings, even if there were
From playlist Closer To Truth - Max Tegmark Interviews