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left\{w\in[ ,\infty)^m:\sum_{i= }^mw_i= ight\}$$ and $a_{ij}\ge $ for $i\in\{ ,\ldots,m\}$ and $j\in\{ ,\ldots,n\}$. how can we solve the saddle-point problem $$\inf_{... optimization convex-optimization nonlinear-optimization numerical-optimization global-optimization asked jan at : xbadf d gold badges

silver badges bronze badges votes answer views what if we have same local extrema, how do we deal with global extrema?...

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for example, the radius of the circle (r) is cm, it's center point is [ ]. the origin (o) of ... geometry circles tangent-line asked days ago trevor bronze badges votes answers views find the equation of tangents for $x^ +y^ - xy= $ at $x= ,y= $ $$x^ +y^ - xy= $$ find the equation of tangents at $x=

,y= $ my attempt is as follows:- attempt $ $: $$ x^ + y^ \dfrac{dy}{dx} \left(x\dfrac{dy}{dx}+y ight)= $$ $$\dfrac{dy}{dx}(y^ -x)=y-x^ $$ $$... calculus derivatives tangent-line asked feb at : user silver badges bronze badges vote answers views find the equation of the tangent line to the curve $f(x)...

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silver badges bronze badges votes answers views order of tensor indices vs their variance properties (upper vs lower) if i write a tensor (in a context where there's some metric $g_{ij}$) as, ${t^i}_j$, this 'means' that the $i$ components are contravariant, and the $j$ components are covariant with

respect to the ... differential-geometry linear-transformations asked hours ago dilithiummatrix gold badge silver badges bronze badges votes answers views theorem rudin here's main part of proof of theorem rudin,rudin's principle mathematical analysis: of the rank theorem. i have some questions regarding...

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rational-functions asked dec ' at : ss gold badge silver badges bronze badges votes answer views reduced expression for rational functions with a pole for a field $k$, let $v$ be an affine variety over $k$. denote by $k(v)$ the function field of $v$, containing all rational functions $r:v\dashrightarrow

\mathbb{a}_k^ $. my question is, if a rational ... algebraic-geometry rational-functions affine-geometry asked dec ' at : ivon silver badges bronze badges votes answers views multivariate rational functions let $p(x_ ,\cdots,x_n)$, $q(x_ ,\cdots,x_n)$ be multivariate polynomials with integer coefficients...

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checking around forums, seems that some people argue that it makes no ... guitar maintenance fretboard asked nov ' at : bybw . k gold badges silver badges bronze badges votes answers views guitar exercises for precision and accuracy i started with metal guitar a little more than a year ago, and mostly

in contrast to an instrument like a guitar, that has frets, does ... harmony melody fretboard fretless-guitar asked jul ' at : foreyez . k gold badges silver badges bronze badges votes answer views faulty fretboard my acustic guitar (fender cd- sce) is -years old, played an average of hour a day, and...

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\documentclass{article} \directlua{... miktex luatex windows lua modified may ' at : werner k gold badges silver badges bronze badges votes answers k views using xmltex to typeset opendocument text i know that xmltex has already been used to typeset tei documents, but has anyone publicly worked on a

answers k views copy to clipboard feature in pdf output i want a clickable copy to clipboard feature in my pdf document. ideally the macro also allows for graphical elements to be embedded inside them (say, a button that will automatically copy paste ... macros copy-paste modified may ' at : gold badges...

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i've sent email to them several times over the past ... fonts mtpro asked days ago murray gold badges silver badges bronze badges vote answers views absurd error message when running lualatex from miktex bundle [closed] from time to time i get a compilation stop for a fifteen-page article when using

lualatex with an absurd diagnostics. lualatex reports that he did not have enough memory. at the same time, the task ... fonts luatex miktex asked dec at : igor kotelnikov . k gold badges silver badges bronze badges votes answers views changing text font of title, figure and table captions in thesis...

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[duplicate] as you can see in the picture below, i have a table that doesn't look so great and that's because am unable to figure out how to change the veritical alignment on the text in the table. for example, i ... tables vertical-alignment tabularx asked days ago alkabary silver badges bronze badges

i am trying to write a document for several people to sign, their names have different numbers of characters. i would like to make them to have the same length by filling blank spaces to them. for ... vertical-alignment chinese ctex asked dec at : zyy silver badges bronze badges votes answers views side-by-side...

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edge ... coloring ramsey-theory extremal-combinatorics probabilistic-method extremal-graph-theory asked yesterday ensbana silver badges bronze badges vote answers views deduce the finite ramsey theorem from the infinite case. i'd like to ask for some checking of my proof for the statement below. using

the fact that every $ extbf{red/blue}$ colouring of $\mathbb{n} \choose $ contains an infinite monochromatic clique, ... solution-verification coloring ramsey-theory extremal-combinatorics extremal-graph-theory asked days ago ensbana silver badges bronze badges vote answers views recurrent relation...

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