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Mathematical concept

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  • Mathematical concept (en)
  • מונח מתמטי (iw)
  • typ macierzy kwadratowej, niekoniecznie rzeczywistej ani zespolonej, używany m.in. do opisu wielomianów (pl)
  • matrice particulière (fr)
  • matriu matemàtica (ca)
  • matriz con progresións xeométricas en cada fila (gl)
  • speziell geformte Matrix in der linearen Algebra (de)
  • πίνακας στην γραμμική άλγεβρα (el)
  • elemento algebraico matricial con sucesiones o progresiones geométricas en cada fila (es)
  • ある特殊な形をした正方行列の行列式 (ja)
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  • 1 (xsd:integer)
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  • Fix , and at the limit, uniformly for (en)
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  • Tao 2012, page 251 (en)
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  • If any or , then the determinant is zero, so it has the form where is some power series in . The left side is a sum of the form Expand them by Taylor expansion. For fixed , the series is uniformly convergent in in a neighborhood of zero. To find the constant term of , simply calculate the coefficient of the term , which is . By the symmetry of the determinant, the next lowest-powered term of is of form , which is as . (en)
  • is zero whenever , and has degree , so it is a multiple of . To find the constant in front, simply calculate the coefficient of the term , which is . (en)
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  • width:100% (en)
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  • center (en)
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  • Proof (en)
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  • Vandermonde matrix (en)
  • Matriu de Vandermonde (ca)
  • مصفوفة فاندرموند (ar)
  • Vandermondova matice (cs)
  • Vandermonde-Matrix (de)
  • Matriz de Vandermonde (es)
  • Matrice de Vandermonde (fr)
  • ヴァンデルモンドの行列式 (ja)
  • Matrice di Vandermonde (it)
  • Vandermonde-matrix (nl)
  • 방데르몽드 행렬 (ko)
  • Macierz Vandermonde’a (pl)
  • Matriz de Vandermonde (pt)
  • Определитель Вандермонда (ru)
  • Vandermondematris (sv)
  • Визначник Вандермонда (uk)
  • 范德蒙矩陣 (zh)
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