Mathematics | Senioritis

John Rhodes
June 21, 2023
Geometry

Discovering The Orthocenter Of A Triangle: Properties And Coordinate Calculation

orthocenter alitutes and has right triangles The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude of a triangle...

John Rhodes
June 21, 2023
Geometry

The Centroid: Its Importance In Geometry, Engineering, And Physics

centriod medians and congruent sides Centroid is a term from mathematics, and it refers to the geometric center of a geometric object such as a line, plane...

John Rhodes
June 21, 2023
Discrete Math

Modulo Arithmetic: What It Means For Math And Beyond

a congruent to b modulo n a is congruent to b iff a and b are natural numbers that have the same remainder when divided by n....

John Rhodes
June 21, 2023
Discrete Math

Tautology And Contradiction In Mathematics: Exploring The Basics

True or False: The negation of a tautology is a contradiction 1 True. A tautology is a statement that is always true, no matter the truth values...

John Rhodes
June 21, 2023
Discrete Math

Exploring The Role Of Contradictions In Logic And Reasoning: Examples From Mathematics And Beyond

Contradiction A statement that can never be true A contradiction is a statement or proposition that opposes or denies another statement or proposition. Essentially, it refers to...

John Rhodes
June 21, 2023
Discrete Math

Tautology In Logic: Examples And Importance Of Avoiding Redundancy.

Tautology A statement that can never be false Tautology is a logical concept that refers to a statement that is true by definition or by its logical...

John Rhodes
June 21, 2023
Discrete Math

Deductive And Inductive Arguments: A Guide To Constructing A Strong And Sound Argument

Argument Is a collection of statements called the premises, together with a single statement called the conclusion An argument is a discussion or debate where one or...

John Rhodes
June 21, 2023
Discrete Math

The Basics Of Valid Arguments In Logic: A Guide

Valid Argument If and only if in every case where all the premises are true, the conclusion is true A valid argument is a type of argument...