Miscellaneous Quiz / Math terms

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Can you name the math terms?

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DefinitionAnswerHint
an ordered pair (V, E) comprising of a set V of vertices together with a set E of edges, which are 2-element subsets of Va visual means of displaying results
triangles with identical anglesmarked by correspondence or resemblance
for an arbitrary ring R(*,+) a subset A such that: 1) for a, b in A, a+b is also in A and 2) for a in A and r in R, a*r and r*a are also in Aconforming to an ultimate standard of perfection or excellence
a function that assigns a strictly positive length or size to all vectors in a vector spacea standard or model or pattern regarded as typical
the sum of all elements in a set or collection divided by the number of elements in that set or collection characterized by malice
the axiom that states: given any collection of nonempty sets, their Cartesian product is a nonempty seta selection
a method of proof showing the thoerem holds for the first value and then showing that if the theorem holds for a given value then it holds for the next valuea formal entry into an organization or position or office (e.g. entry into the hall of fame)
a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily truetwice the percentage of alcohol by volume
the node in a flow network which can have greater incoming flow than outgoing flowa kitchen fixture. If one were to take everything but this then you'd be left with practically nothing
a function f(x) such that f(a) = lim x->a f(x) for all a in the domain of fkeeps going and going

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