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badge bronze badges vote answer views probability for $n$-th draw is same as the first one consider an urn, which initially has $w$ white balls and $b$ black balls. make a sequence of draws from the urn as follows. draw one of the balls in the urn at random, then put this ball back into the ... probability

of equilateral triangles inscribed in an ellipse. let a and b be the lengths of the semi-major and semi-minor axes of an ellipse, respectively. how to find the area enclosed by the locus of the centroids of equilateral triangles inscribed in the ... calculus trigonometry self-learning conic-sections...

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stochastic-calculus brownian-motion stochastic-analysis asked feb at : gaus bronze badges votes answers views derivative of gaussian process in $ l^ $ let $(x_t)_{t\in[ ]}$ be a centered gaussian process, the mapping $(t,\omega)\rightarrow x_t(\omega)$ is measurable, and $k(s,t)=cov(x_s,x_t)$ the covariance

let $(m_t)$ a martingale. in the book of karatzas and shreve (brownian motion and stochastic calculs), they often consider the integral $$i_t=\int_ ^t x_s^ d \left_s,$$ where $(\left&... stochastic-calculus martingales asked jan at : walace bronze badges votes answers views how to show this is not a...

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let $f,g:\mathbb{c} o \mathbb{c}$ be two functions which are holomorphic in $\omega\subset \mathbb{c}$. consider the integral $$i(\lambda)=\int_{\gamma}g(z)e^{\lambda f(z)}dz,\quad \lambda \in ( ,+\... calculus integration complex-analysis asymptotics asked hours ago user . k gold badges silver badges

come up with an estimated $o$-notation for the runtime of this recursive algorithm, given above.... algorithms recurrence-relations asymptotics recursive-algorithms asked days ago comscistu bronze badges votes answers views decay rate of the coefficients in the legendre series expansion let $u$ be a...

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points $x_i\in\... geometry optimization algorithms gradient-descent asked yesterday museful silver badges bronze badges votes answer views how do i solve the current recurrence relation with the substitution (guess and verify) method?

algorithm provided by gonzalez gives a -approximate solution. what will be the approximation factor of the algorithm if the points are in d-... algorithms euclidean-geometry computational-complexity asked yesterday mateo bronze badges votes answers views can a deep learning algorithm approximate or...

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tags users unanswered questions tagged [maxima-minima] ask question in mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within

for $a,b,c,d \geq $, the following identity showed up in a paper i was reading. $$ |ac - bd| \leq \max(a,b) | c-d| + \max(c,d)|a-b| $$ well, to be precise, it's simply that they cited a step in a ... absolute-value maxima-minima asked yesterday ziddletwix bronze badges votes answers views how to evaluate...

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\left|\vec{r}_ -\vec{r}_ \right|$$ and distance vector namely $$\vec r_{ }=\... vectors norm asked yesterday wisdom silver badge bronze badges votes answers views computing the norm of a continuous functional over $c([ ])$ consider a functional $c([ ])\ni f \mapsto f( ) \in \mathbb{r}$. let the norm

let $\|\cdot\|$ be the euclidean norm on $\mathbb{r}^ $. for all $a\ge $, the level set $\{(x,y) \in \mathbb{r}^ : \|(x,y)\| = a\}$ is a circumference with radius $a$. i am interested in defining a ... geometry convex-analysis norm asked days ago user bronze badges votes answers views the norm of sum...

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