- Newest Questions - Mathematics Stack Exchange
Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels
- (Un-)Countable union of open sets - Mathematics Stack Exchange
A remark: regardless of whether it is true that an infinite union or intersection of open sets is open, when you have a property that holds for every finite collection of sets (in this case, the union or intersection of any finite collection of open sets is open) the validity of the property for an infinite collection doesn't follow from that In other words, induction helps you prove a
- study of the sequence (Un) defined by $U_{0}=a$ and $U_{n+1}=a+\\frac{1 . . .
let a and b be real numbers such that a>0 and b>1 Consider the sequence (Un) defined by U0 = a U 0 = a and Un+1 = a + 1−b−n 2 Un U n + 1 = a + 1 b n 2 U n Show that (Un) is bounded, convergent and find its limit To prove that the sequence is bounded i intuitively used the fixed point theorem because at first glance i don't really know the appropriate way to study this sequence as it's
- modular arithmetic - Prove that that $U (n)$ is an abelian group . . .
Prove that that U(n) U (n), which is the set of all numbers relatively prime to n n that are greater than or equal to one or less than or equal to n − 1 n 1 is an Abelian group My thought process: for a, b ∈ U(n) a, b ∈ U (n) Associativity: (a + b) + c = a + (b + c) (a + b) + c = a + (b + c) Identity: 1 1 is in the set so a ⋅ 1 = a = 1 ⋅ a a 1 = a = 1 a Inverse: I'm stuck on how to
- Como calcular el area de la superficie de un huevo con calculo
Estoy haciendo mi reciente evaluación interna del IB Matemáticas HL y mi tema es cómo calcular el área de superficie de un huevo Quiero aplicar el cálculo conocimiento en esta pregunta, pero mi conocimiento sobre esta área es limitada
- optimization - Minimizing KL-divergence against un-normalized . . .
Minimizing KL-divergence against un-normalized probability distribution Ask Question Asked 1 year, 7 months ago Modified 1 year, 7 months ago
- Mnemonic for Integration by Parts formula? - Mathematics Stack Exchange
The Integration by Parts formula may be stated as: $$\\int uv' = uv - \\int u'v $$ I wonder if anyone has a clever mnemonic for the above formula What I often do is to derive it from the Product R
- probability - Suppose that $U1, U2, . . . , Un$ are iid $U (0,1)$ and $Sn . . .
I meant it to read: P (S_1 ≤ t) P (S_n ≤t) The product of those probabilities given the assumption is true
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