/sci/ - Science & Math

Even those who speak directly to God occasionally get it wrong.

Is it possible to find the general form of scalar-valued functions <span class="math"> f : S^2 \to R [/spoiler] such that <span class="math">f(a)^2 + f(b)^2 + f(c)^2 = 1[/spoiler] whenever <span class="math">a,b,c[/spoiler] are orthonormal vectors in <span class="math">R^3[/spoiler]?

(P.S. obvious <span class="math"> f = 1/\sqrt{3} [/spoiler] is obvious.)

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there is so much reverse discrimination in the academic world. It's bizarre that these mindless pieces of dogsh*t are permitted to teach anything. Colleges create these 'filler' zero classes like 'urban studies' just so the negroes can have a job. Alot of the doctoral programs at state colleges go overboard to recruit unqualified niggers-- the epitome of pandering.