Euclidean geometry | Mathematical terminology
In the historical study of mathematics, an apotome is a line segment formed from a longer line segment by breaking it into two parts, one of which is commensurable only in power to the whole; the other part is the apotome. In this definition, two line segments are said to be "commensurable only in power" when the ratio of their lengths is an irrational number but the ratio of their squared lengths is rational. Translated into modern algebraic language, an apotome can be interpreted as a quadratic irrational number formed by subtracting one square root of a rational number from another.This concept of the apotome appears in Euclid's Elements beginning in book X, where Euclid defines two special kinds of apotomes. In an apotome of the first kind, the whole is rational, while in an apotome of the second kind, the part subtracted from it is rational; both kinds of apotomes also satisfy an additional condition. Euclid Proposition XIII.6 states that, if a rational line segment is split into two pieces in the golden ratio, then both pieces may be represented as apotomes. (Wikipedia).
Using Sympy to solve algebraic expressions and equations.
From playlist Introduction to Pyhton for mathematical programming
Evaluate an expression with one variable ex2, 2x + 3 - 2; x=5
๐ 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 evaluate an expression three terms
๐ 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
Evaluating an expression with one variable ex 4, x - 3 - 7x; x = 10
๐ 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
Evaluating an expression with one variable ex 8, (-x^2 +1)/3; x = 3
๐ 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
I still don't get it evaluating expressions
๐ 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
Evaluating an expression with one variable ex 6, (3p - 5)^2; p = 3
๐ 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
Evaluating a rational expression and order of operations
๐ 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
Evaluate an equation by substitution
๐ 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
ICM 2006 Closing Round Table Are pure and applied mathematics drifting apart? Intervention by John Ball (Slides https://www.mathunion.org/fileadmin/IMU/Videos/ICM2006/tars/table2006_ball.pdf) Intervention by Lennart Carleson (Slides https://www.mathunion.org/fileadmin/IMU/Videos/ICM2006/
From playlist Number Theory
On theories in mathematics education and their conceptual differences โ Luis Radford โ ICM2018
Mathematics Education and Popularization of Mathematics Invited Lecture 18.1 On theories in mathematics education and their conceptual differences Luis Radford Abstract: In this article I discuss some theories in mathematics education research. My goal is to highlight some of their diffe
From playlist Mathematics Education and Popularization of Mathematics
Lisa Rougetet - The Role of Mathematical Recreations in the 17th and 19th Centuries - CoM Apr 2021
The aim of this talk is to retrace the history of mathematical recreations since the first books entirely dedicated to them at the beginning of the 17th century and at the end of the 19th century, especially in Europe. I will explain what mathematical recreations were exactly when they fir
From playlist Celebration of Mind 2021
Mathematics has an uncanny ability to describe the physical world. It elegantly explains and predicts features of space, time, matter, energy, and gravity. But is this magnificent scientific articulation an invention of the human mind or is mathematics indelibly imprinted upon the substrat
From playlist WSF Latest Releases
IMS Public Lecture: Foundations of Mathematics: An Optimistic Message
Stephen G. Simpson, Pennsylvania State University, USA
From playlist Public Lectures
Is Mathematics Invented or Discovered? | Episode 409 | Closer To Truth
Mathematics describes the real world of atoms and acorns, stars and stairs, with remarkable precision. So is mathematics invented by humans-like chisels and hammers and pieces of music? Or is mathematics discovered-always out there, somewhere, like mysterious islands waiting to be found? F
From playlist Closer To Truth | Season 4
CWM-CoD Joint Panel: Best practices towards a more diverse and inclusive mathematical community
Joint Panel organized by the IMU Committee for Women in Mathematics (CWM) and the IMU Committee on Diversity (CoD) CWM was established in 2015 to discuss issues related to women in mathematics worldwide and has actively worked to promote international contacts between national and region
From playlist IMU Live Events
Table ronde : mathรฉmatiques vivantes dans le monde
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Forum mathรฉmatiques vivantes
Stephen Wolfram - Is Mathematics Invented or Discovered?
For more videos and information from Stephen Wolfram http://bit.ly/1GStsOr For more videos on whether mathematics is invented or discovered http://bit.ly/1DG70Hk To buy episodes and seasons of Closer To Truth click here http://bit.ly/1LUPlQS Mathematics describes the real world of atoms
From playlist Is Mathematics Invented or Discovered? - CTT Interview Series
Evaluating an expression with one variable ex 3, (2x - 4)/4x; x = -3
๐ 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