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Examples
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On the other hand, the diagram in Figure 4 shows that the converse does not hold: there are two parts of y that do not overlap x, namely z1 and z2, but there is nothing that consists exactly of such parts, so we have a model of
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In that model, x and y do not have a ξ-product, since neither z1 nor z2 includes the other as a part.
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(P. 16Ï) fails when ˜Ï™ picks out the set {x, y}; yet (P. 15Ï) holds, for both z1 and z2 are things that overlap exactly those things that overlap some common part of the Ï-ers, i.e., of x and y.
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If e.g. I have a method for looking at integers that satisfy the equation x2 + y2 = z2, then the formula xn + yn = zn may stimulate me.
Wittgenstein's Philosophy of Mathematics Rodych, Victor 2007
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What is the fx,y,z,t which describes the mean additive term that a station located at x1,y1,z1 will experience due to a heat source located at x2,y2,z2?
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The first expression for w(z1) - w(z2) does contain a reference to the global optimum (0.17).
Evolution of "Hello World" using random mutation and selection - The Panda's Thumb 2006
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If rewriting w(z) cannot remove this flaw (if indeed it is a flaw), then why would rewriting be able to remove the same flaw in w(z1) - w(z2)?
Evolution of "Hello World" using random mutation and selection - The Panda's Thumb 2006
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What witless creatures what mere nothings, are z2 % 56 THE HISTORY OF these beaux, fine fellows, and laughers, of men!
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And do you think he is so very extraordinary a z2 man, as to sense, as I have heard him reported to be?
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For instance, the equation for a sphere is x2 + y2 + z2 = r2: the only change is the addition of a new coordinate, z.
Euclid’s Window Leonard Mlodinow 2001
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