What Do These Mathematical Concepts Entail?

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Elementary Number Theory involves basic properties of prime numbers, division properties, the Euclidean division algorithm, and solving linear Diophantine equations, including concepts like modulo equations and the Chinese remainder theorem. Plane Euclidean/Measurement is interpreted as plane geometry along with area and volume formulas. Least Squares Regression pertains to finding a line that minimizes the sum of the squares of distances from given points. The terms discussed are part of the SAT Math Subject tests syllabus, and there are no universally accepted definitions for these concepts. Understanding these mathematical concepts is essential for SAT preparation.
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What are the following:

· Elementary Number Theory
· Plane Euclidean/Measurement
· Least Squares Regression

Is Plane Euclidean/Measurement the same as Plane Geometry?


Thanks in advance.
 
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Context, please? Did this list occur in an English language text?
 
No, it's the syllabus for the SAT Math Subject tests.
 
There are no "standard" definitions for those. I would take "elementary number theory" to mean basic properties of prime numbers, some division properties, Euclidean division algorithm and solving linear Diophantine equations. Perhaps modulo equations and the "Chinese remainder theorem".

"Plane Euclidean/Measurement" I would take to mean plane geometry together with area and possibly volume formulas.

"Least Squares Regression" refers to the "least squares" line through given points: the line such that the sum of the squares of the distances from each point to the line is a minimum.
 
HallsofIvy said:
There are no "standard" definitions for those. I would take "elementary number theory" to mean basic properties of prime numbers, some division properties, Euclidean division algorithm and solving linear Diophantine equations. Perhaps modulo equations and the "Chinese remainder theorem".

"Elementary number theory" on the SAT is only like basic properties of prime numbers, and possibly some division properties.
 

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