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silver badges bronze badges vote answers views recurrences - proof of induction so i have a question below that asks for a closed formula and for me to prove the formula using induction. i believe i got the formula correct, but i'm having a hard time proving it because of the ... permutations induction

with consecutive numbers five persons are to be seated around a circular table they are wearing badges of consecutive numbers , , , . in how many ways can they be seated such that no two consecutive numbered badge wearing ... combinatorics permutations asked feb at : saddy bronze badges votes answers...

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i'm struggling to find where i made a mistake on the way to solving the following problem. problem description: a grocery sells chocolates bars. there are $ $ kinds of stickers. each chocolate is ... probability combinatorics asked hour ago alekscooper silver badges bronze badges votes answers views

i've known there are only two kinds of the variables that discrete and continuous. so i met the big problem bothering me. q) let $f(x)$ be c.d.f(cumulative distribution function) for the variable $x$... probability probability-distributions asked hours ago se-hyuck yang silver badges bronze badges votes...

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bronze badges votes answers views example of an incomplete inner product space?

metric spaces with one totally bounded and the other not. then the ... general-topology metric-spaces complete-spaces asked dec ' at : newman silver badges bronze badges votes answers views proving set is connected and complete problem . let (c([ ])) denote the space of continuous real-valued functions...

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after playing sorcerer quite a bit (both spell-slot and spell-point versions) i feel that the spell-slot variety lacks much of the versatility granted under the spell-point option. the current ... dnd- e balance sorcerer homebrew-review asked dec at : medix . k gold badges silver badges bronze badges

is this revised dragon rider homebrew class balanced ... dnd- e balance ranger homebrew-review archetype asked dec at : nathans . k gold badges silver badges bronze badges votes answers k views would modifying the "polearm master" feat to work with a longsword be overpowered?...

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abstract-algebra group-theory solution-verification asked hours ago user silver badges bronze badges votes answer views on subgroups invariant under the diagonal automorphisms let $p$ be a prime number and $\mathbb{f}_{p}$ be a finite field of order $p$. let $g=gl_{n}(\mathbb{f}_{p})$ denote the general

i know that the opposite is true, i.e. if $n rianglelefteq ... abstract-algebra group-theory asked hours ago lozansky silver badges bronze badges votes answers views how can i show that every matrix in $sl( ,\mathbb{r})$ is conjugate to one of the following matrices how can i show that every matrix in...

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note that $f'_n$ is not uniformly bounded real-analysis analysis sequence-of-function asked hours ago rosy silver badges bronze badges votes answer views if $f_n \rightarrow f$ uniformly and $f(z) = $ only at $z_ $, then what can we say about $g(z_ )$, limiting function of $g_n(z) = f_n(z)^{ /n}$?

asked jan at : hiren_garai silver badges bronze badges votes answers views question on sequence of functions. let $f_n(x)$ be a sequence of functions defined on an closed and bounded interval of the real number system. is it possible that each $f_n(x)$ is integrable but $f_n(x)$ doesn't converge for...

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bronze badges votes answer views all different notations of an arithmetic expression?

of integers in the list divisible by $ ,$ or $ $ and then subtract the ... combinatorics asked hours ago acoloredreptile silver badges bronze badges vote answers views bounding ratio of joint and marginal pmfs for urn model setup suppose i have $n=mn$ balls in an urn, with $n_ $ colored red and $n_...

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silver badges bronze badges votes answer views how to name the discrete analog of coincidence of riemann and lebesgue integrals?

it's known that for any sequence of positive integers $a_ $, $a_ $, ..., $a_n$ the following equality holds: $$ \sum_{i= }^n a_i=\sum_{k\in \mathbb{z},k\geqslant } \left|\{i\colon a_i\geqslant k\}\... combinatorics education math-history asked jan at : bigant silver badges bronze badges votes answer...

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