epigraph of function

epigraph of function
мат. надграфик [эпиграф] функции

Большой англо-русский и русско-английский словарь. 2001.

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  • Epigraph (mathematics) — In mathematics, the epigraph of a function f : Rn→R is the set of points lying on or above its graph:: mbox{epi} f = { (x, mu) , : , x in mathbb{R}^n,, mu in mathbb{R},, mu ge f(x) } subseteq mathbb{R}^{n+1},and the strict epigraph of the… …   Wikipedia

  • Convex function — on an interval. A function (in black) is convex if and only i …   Wikipedia

  • Graph of a function — In mathematics, the graph of a function f is the collection of all ordered pairs ( x , f ( x )). In particular, if x is a real number, graph means the graphical representation of this collection, in the form of a curve on a Cartesian plane,… …   Wikipedia

  • Closed convex function — In mathematics, a convex function is called closed if its epigraph is a closed set. Properties A closed convex function f is the pointwise supremum of the collection of all affine functions h such that h≤f. References Rockafellar, R. Tyrell,… …   Wikipedia

  • Convex conjugate — In mathematics, convex conjugation is a generalization of the Legendre transformation. It is also known as Legendre–Fenchel transformation or Fenchel transformation (after Adrien Marie Legendre and Werner Fenchel). Contents 1 Definition 2… …   Wikipedia

  • Konkave Funktion — Konvexe Funktion In der Analysis heißt eine Funktion f von einem Intervall I (oder allgemeiner einer konvexen Teilmenge C eines reellen Vektorraums) nach …   Deutsch Wikipedia

  • Konvexe Funktion — In der Analysis heißt eine Funktion f von einem Intervall I (oder allgemeiner einer konvexen Teilmenge C eines reellen Vektorraums) nach …   Deutsch Wikipedia

  • Possession (novel) — Possession: A Romance   First American edition cover …   Wikipedia

  • literature — /lit euhr euh cheuhr, choor , li treuh /, n. 1. writings in which expression and form, in connection with ideas of permanent and universal interest, are characteristic or essential features, as poetry, novels, history, biography, and essays. 2.… …   Universalium

  • Natura non facit saltus — Natura non facit saltum Natura non facit saltum (Latin for nature does not make jumps ) has been a principle of natural philosophy since at least Aristotle s time.[1] It appears as an axiom in the works of Gottfried Leibniz (New Essays, IV, 16)… …   Wikipedia

  • List of mathematics articles (E) — NOTOC E E₇ E (mathematical constant) E function E₈ lattice E₈ manifold E∞ operad E7½ E8 investigation tool Earley parser Early stopping Earnshaw s theorem Earth mover s distance East Journal on Approximations Eastern Arabic numerals Easton s… …   Wikipedia


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