Logical hexagon

Logic: The Structure of Reason

As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be

From playlist Logic & Philosophy of Mathematics

Evaluating a rational expression and order of operations

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

Set-up & solve equations (in context)

Powered by https://www.numerise.com/ Set-up & solve equations (in context)

From playlist Linear equations

Intro to Logical Statements

We begin our exploration into logic by analyzing LOGICAL STATEMENTS: 1) Define what a logical statement is 2) Recognize examples as logical statements or not logical statements 3) Use the symbols for "not", "and", and "or". 4) Break down a sentence into its logical structure. **********

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

Simplify a rational expression

Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational

From playlist Simplify Rational Expressions

Inverse Statements - Logic

This video teaches students how to write the inverse of a conditional statement. In particular, this video goes into detail about how to negate the hypothesis and conclusion of a conditional statement. In addition, the concepts of truth value, negating statements and logical equivalence ar

From playlist Geometry

Evaluate an expression with one variable ex2, 2x + 3 - 2; x=5

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

How To Make Your App Maintainable (hint: Adopt Hexagonal Architecture)

How should I structure my code? What design works best for complex apps? Is there an alternative to the classic flat file or MVC structures? Kat answers those questions by introducing the "ports & adapters" - or more commonly known as "hexagonal" - architecture. She illustrates how it make

From playlist Software Development

RailsConf 2014 - Domain Driven Design and Hexagonal Architecture with Rails

By Eric Roberts and Declan Whelan You know that Domain Driven Design, Hexagonal Architecture, and the Single Responsibility Principle are important but it's hard to know how to best apply them to Rails applications. Following the path of least-resistance will get you in trouble. In this s

From playlist RailsConf 2014

24. Determining Chemical Structure by Isomer Counting (1869)

Freshman Organic Chemistry (CHEM 125) Half a century before direct experimental observation became possible, most structures of organic molecules were assigned by inspired guessing based on plausibility. But Wilhelm Körner developed a strictly logical system for proving the structure of b

From playlist Freshman Organic Chemistry with J. Michael McBride

!!Con 2021 - Dithers of the Error-Diffusion Kind! by Daniel Temkin

Dithers of the Error-Diffusion Kind! by Daniel Temkin Error-diffusion dithering is perhaps the fundamental algorithm of computer graphics. When an image is displayed in a reduced palette (such as black and white), a cloud of pixels return some detail to an image that otherwise would look

From playlist !!Con 2021

Trig challenge problem: area of a hexagon | Math for fun and glory | Khan Academy

Sal solves a very complicated geometrical trig problem that appeared as problem 14 in the 2003 AIME II exam. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-15-part-1?utm_source=YT&utm_medium=Desc&ut

From playlist AIME | Math for fun and glory | Khan Academy

I still don't get it evaluating expressions

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

Can you solve Dongle's Difficult Dilemma? - Dennis E. Shasha

Practice more problem-solving at https://brilliant.org/TedEd -- According to legend, three galactic terraformers shaped your planet into a paradise. When their work was done, they left the source of their power behind: three golden hexagons, hidden in dungeons full of traps and monsters.

From playlist New TED-Ed Originals

MATHS PROBLEM STUMPING THE INTERNET - Bananas, Clock, Hexagon Algebra Problem Solved

This emoji math puzzle is going viral and being shared with claims like "only a genius can solve it" or "99 percent fail." In this video I present what many people believe to be the correct answer. My blog post for this video: https://wp.me/p6aMk-564 If you like my videos, you can suppor

From playlist Viral Math Memes

Illustrative Mathematics Grade 6 - Unit 1- Lesson 1

Illustrative Mathematics Grade 6 - Unit 1- Lesson 1 Open Up Resources (OUR)

From playlist Illustrative Mathematics Grade 6 Unit 1

Rational numbers | Arithmetic and Geometry Math Foundations 13 | N J Wildberger

Rational numbers are obtained from the integers the same way fractions are obtained from natural numbers---by taking pairs of them. The main operations are defined. The rational numbers form a `field', an important technical term in mathematics whose definition we give precisely. This lec

From playlist Math Foundations

HARD geometry problem from Mensa's puzzle magazine

Thanks to Elliott Line for the suggestion! Elliott is the editor of a bimonthly puzzle magazine, Enigma, available exclusively to members of Mensa (a high IQ society). Check out his website for many more great puzzles: http://www.elliottline.com/puzzles General solution method on Math Sta

From playlist Math Puzzles, Riddles And Brain Teasers

What is a linear equation

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

Solving a PhD level test question

A version of this question was asked in India's JEST which is an annual test for admission to PhD and integrated PhD programs. Thanks to Banik for the suggestion! Special thanks this month to: Kyle, Lee Redden, Mike Robertson, Daniel Lewis, Robert Zarnke. Thanks to all supporters on Patreo

From playlist Math Puzzles, Riddles And Brain Teasers