Caltech thesis latex style

The first of these results is apparent by considering, for instance, the tangent function, which provides a one-to-one correspondence between the interval (−π/2, π/2) and  R (see also Hilbert's paradox of the Grand Hotel ). The second result was proved by Cantor in 1878, but only became intuitively apparent in 1890, when Giuseppe Peano introduced the space-filling curves, curved lines that twist and turn enough to fill the whole of any square, or cube , or hypercube , or finite-dimensional space. These curves can be used to define a one-to-one correspondence between the points in the side of a square and those in the square. [ citation needed ]

Caltech thesis latex style

caltech thesis latex style

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