What Do These Topics Mean?

Plane Euclidean/Measurement" is similar to plane geometry, with the addition of area and possibly volume formulas. "Least Squares Regression" is a method for finding the line that best fits a set of given points by minimizing the sum of the squares of the distances from each point to the line. In summary, "Elementary Number Theory" covers basic properties of prime numbers and solving linear Diophantine equations, "Plane Euclidean/Measurement" includes plane geometry and measurement formulas, and "Least Squares Regression" is a method for finding the best fit line for a set of points.
  • #1
apples
171
0
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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  • #2
Context, please? Did this list occur in an English language text?
 
  • #3
No, it's the syllabus for the SAT Math Subject tests.
 
  • #4
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.
 
  • #5
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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