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6 days ago · 27^5 + 84^5 + 110^5 + 133^5 = 144^5. 275 +845 +1105 +1335 = 1445. A conjecture is a mathematical statement that has not yet been rigorously proved. Conjectures arise when one notices a pattern that holds true for many cases. However, just because a pattern holds true for many cases does not mean that the pattern will hold true for all cases.
6 days ago · The infimum and supremum are concepts in mathematical analysis that generalize the notions of minimum and maximum of finite sets. They are extensively used in real analysis, including the axiomatic construction of the real numbers and the formal definition of the Riemann integral.
1 day ago · A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...
4 days ago · So we indeed have −2 ≤ 0. But if we pick x and y to be x = −1 and y = 1, then the statement (i) is false, since it would state that 0 ≥ 2. So to me it seems, the correct definition would be: (i) ∀x, y ∈R with x ≥ y: f(x) ≥ f(y) +f′(y)(x − y) real-analysis. analysis. convex-analysis. Share.
3 days ago · In mathematics (in particular, functional analysis ), convolution is a mathematical operation on two functions ( and ) that produces a third function ( ). The term convolution refers to both the result function and to the process of computing it.
6 days ago · A transcendental number is a number that is not a root of any polynomial with integer coefficients. They are the opposite of algebraic numbers, which are numbers that are roots of some integer polynomial. e e and \pi π are the most well-known transcendental numbers.
11 hours ago · An ornate boxfish has remarkably crisp definition of its patterning. CREDIT: imogenisunderwater / iNATURALIST The ornate boxfish with its crisp hexagons seems to have its own solution to the ...
