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Quanta Magazine

Titans of Mathematics Clash Over Epic Proof of ABC Conjecture
Quanta Magazine
Mochizuki's approach to the abc conjecture translates the problem into a question about elliptic curves, a special type of cubic equation in two variables, x and y. The translation, which was well known before Mochizuki's work, is simple — you ...


Quanta Magazine

Tinkertoy Models Produce New Geometric Insights
Quanta Magazine
By “simplest,” mathematicians want to know two things: How many variables does it need? And what's the highest power of those variables? For example, the simplest equation that describes the circle requires two variables raised to the second power.


Science News for Students

Cool Jobs: The art of paper folding is inspiring science
Science News for Students
The equation 5 + x = 7 is an example. (To find the answer, just subtract 5 from both sides. Then you have x = 2.) Linear algebra is an advanced field of math that is typically studied in college. It focuses on equations that have two variables in them ...


Interesting Engineering

How to Become an Engineer: A Complete Guide to the First Year of Engineering and Beyond
Interesting Engineering
The classes every engineer should expect to take and eventually master includes (in no particular order); Newtonian physics, Calculus, Linear Algebra, Programming for Engineers, and Chemistry. It is also likely for a CAD ..... teaching the basics of ...


Wall Street Journal (blog)

Deep Learning: Is It Approaching a Wall?
Wall Street Journal (blog)
When learning through explicit definition, people rely “on a capacity to represent abstract relationships between algebra-like variables," he writes. "Indeed even 7-month old infants can do so, acquiring learned abstract language-like rules from a ...

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Phys.Org

Mathematician discusses solving a seemingly unsolvable equation
Phys.Org
It's a non-linear integral equation with two variables. Such an equation is so complex that you do actually think there can't possibly be any formula for a solution. Two variables alone are a challenge in themselves, and there are no established ...

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2oceansvibe News

Solve One Of These Six Maths Problems And You Win $1 Million
2oceansvibe News
Algebraic geometry deals with the higher-dimensional analogues of that kind of curve when one considers systems of multiple equations, equations with more variables, and equations over the complex number plane, rather than the real numbers. The 20th ...


Battle Creek Enquirer

Mullis: Solving for 'a' is easier with live-in tutors
Battle Creek Enquirer
And since I married an engineer, not even my children have forced me to revisit high school algebra. As soon as their homework had them solving for “a”, I sent them to their father. Hey, I handled all the essays. So why, two years away from my youngest ...


Music videos become tool to boost learning, test scores
The State
But due in part to Muzology, a new program that sets math principles to popular music, Nuchols's students are excited about pre-algebra. The program was tested in Knoxville and as of this school year, is being used in ... After two years of being used ...

and more »

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algebra'scool Unit C Equations and Inequalities of Two Variables
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     Internet Search Results 

Data Transformations Reference - Amazon Machine Learning
The n-gram transformation takes a text variable as input and produces strings corresponding to sliding a window of (user-configurable) n words, generating outputs in the process. For example, consider the text string "I really enjoyed reading this book".

Correlation - Statistical Engineering
Correlation measures the strength of a linear relationship between two variables. It's that never-mentioned, often-ignored, qualifier that can trip you up.

West Texas A & M Virtual Math Lab - wtamu.edu
After completing this tutorial, you should be able to: Know if an ordered pair is a solution to a system of linear equations in two variables or not.

Algebra - Linear Systems with Two Variables
In this section we will solve systems of two equations and two variables. We will use the method of substitution and method of elimination to solve the systems in this section. We will also introduce the concepts of inconsistent systems of equations and dependent systems of equations.

Correlation: The Relationship of Two Variables
Definition of a Scatterplot: A scatterplot is a statistical graphic that displays the STRENGTH, DIRECTION and SHAPE of the relationship between two variables.. A scatterplot requires two scores from the SAME individuals. These scores are normally identified as X and Y.

Function of several real variables - Wikipedia
In mathematical analysis, and applications in geometry, applied mathematics, engineering, natural sciences, and economics, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables. This concept extends the idea of a function of a real variable to several variables.

r - Calculate correlation for more than two variables ...
I use the following method to calculate a correlation of my dataset: cor( var1, var2, method = "method") But I like to create a correlation matrix of 4 different variables. What's the easiest way...

Swap two variables using XOR – BetterExplained
Most people would swap two variables x and y using a temporary variable, like this: tmp = x x = y y = tmp Here’s a neat programming trick to swap two values without needing a temp:

3 Ways to Solve Systems of Algebraic Equations Containing ...
How to Solve Systems of Algebraic Equations Containing Two Variables. In a "system of equations," you are asked to solve two or more equations at the same time. When these have two different variables in them, such as x and y, or a and b,...

Ventilation/perfusion ratio - Wikipedia
In respiratory physiology, the ventilation/perfusion ratio (V̇/Q̇ ratio or V/Q ratio) is a ratio used to assess the efficiency and adequacy of the matching of two variables: . V̇ or V – ventilation – the air that reaches the alveoli Q̇ or Q – perfusion – the blood that reaches the alveoli via the capillaries The V/Q ratio can therefore be defined as the ratio of the amount of air ...

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