celseylynn2475 celseylynn2475
  • 15-04-2024
  • Mathematics
contestada

Given a function f : Rⁿ → R, its epigraph is defined as follows

epi f = {(x,t) ∈ Rⁿ⁺¹ : x ∈ Rⁿ, t ≥ f(x)}

Could someone please help me prove that a function is convex iff its epigraph is a convex set?

Relax

Respuesta :

Otras preguntas

Where are new DNA molecules formed?
how do you say i love you in french
Which one of the following items would you be most likely to keep in a database ? A.Financial statements B.Address book. C. Payroll records D. Sales report
Under which Empire did ancient China control territories that are not part of present-day China
Lois made a dish with 6 1/2 cups of pasta. One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lois made? A. 31 2/3 B. 9 C. 24 D.
How have nonhuman factors contributed to climate change
the idea that the western epansion was america's god given right is called what
if f(x)=9x-8, which of the following is the inverse of f(x)?
Abraham Lincoln won the 1860 election representing the __________ Party whose platform _____ slavery spreading into the new territories. Republican, opposed Nor
The equator runs north-south roughly through the middle of the continent of Africa.