Inequality Notation: What Does it Mean?

[j.gal]

I was reading on inequalities and encountered a notation i haven't come across before.
an image of it is added to this post as an attachment.

 

[KrisOhn]

If you mean the dots, it is simply a different way of expressing multiplication.

so that is the same as

(a)(c) > (b)(c)

 

[j.gal]

one other question i have.
Does Pythagorean theorem still work if you use elliptical geometry?

 

[micromass]

No, the Pythagorean theorem is in fact equivalent to the parallel postulate. So it doesn't work in elliptical geometry.

There are however generalizations of Pythagoras which do hold in non-Euclidean geometry. More information can be found on wiki: http://en.wikipedia.org/wiki/Pythagorean_theorem

 

[CellCoree]

The notation you have encountered is known as "inequality notation" and is commonly used to represent mathematical expressions that indicate a relationship between two quantities. In this notation, the symbol "<" means "less than" and the symbol ">" means "greater than". The line in between the symbols represents "equal to" or "not equal to". This notation is often used to compare values or to show the range of values that a variable can take. It is an important tool in mathematics and is used in various fields, including economics, physics, and statistics, to name a few. By using inequality notation, we can easily express complex mathematical relationships and make comparisons between different quantities. It is a concise and powerful way to represent inequalities and is a fundamental concept in mathematics.