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5 days ago · In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle : for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse ), and the cosine ...
3 days ago · In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin.
3 days ago · Relations are a structure on a set that pairs any two objects that satisfy certain properties. Examples of familiar relations in this context are 7 is greater than 5, Alice is married to Bob, and 3 \ (\clubsuit\) matches 2 \ (\clubsuit\). For each of these statements, the elements of a set are related by a statement.
3 days ago · Imagine you're a detective trying to solve a mystery - that's what exploring and connecting mathematical concepts is like. You get to uncover the secrets of numbers and see how they all fit together like puzzle pieces. For example, let's say you have 3 apples and someone gives you 2 more - now you have 5 apples! See, it's like magic!
4 days ago · I'm consulting various documents on game theory in order to get the standard definition of what a game (and an associated strategy) is. But I have the impression that from one book to another I get a different definition, and it's not presented as ‘equivalent’ to the others (maybe it is).
4 days ago · In this article, we’ve compiled 25 fun math problems and brainteasers covering various topics and question types. They’re aimed at students in upper elementary (3rd-5th grade) and middle school (6th grade, 7th grade, and 8th grade).
3 days ago · The beta function (also known as Euler's integral of the first kind) is important in calculus and analysis due to its close connection to the gamma function, which is itself a generalization of the factorial function. Many complex integrals can be reduced to expressions involving the beta function.
