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|On the other hand, it is not difficult to show, as Klein did, that there are no points [|
w, w, x, y, z] for which the rank is less than 3. Therefore the rank 3 locus is an
algebraic locus. Felix Klein discovered the remarkable theorem that this locus is ...
|Klein was impressed by Poincaré's uniformization theorem and, stimulated by |
Poincaré's achievements, he discovered a remarkable theorem of his own, which
he called the fundamental theorem of the theory of automorphic functions [1883,
|Klein's Bottle Now we will study the surface N, which is also called Klein's bottle. |
This special case is not covered by Theorem 4.10 and is particularly instructive.
Theorem 4.11. The complete graph K7 cannot be embedded into the surface N2.
|THE THEOREMS OF OSCILLATION OF STURM AND KLEIN. (SECOND PAPER.|
) BY PKOFESSOE MAXIMS BoCHER. <Read before the American Mathematical
Society at the Meeting of February 26, 1898.) The following pages form a ...
|This was the outstanding problem which Klein emphasized,* but to which Bocher |
seems never to have given ... rigorous form, and gave the first analytic proof of
Klein's theorem of oscillationi Reference should also be made to his article on the
|What is novel in Klein's theorem is the idea that the function 17 in the |
Ruckkehrschnitt theorem can be so chosen that the corresponding image of the
Riemann surface on the sphere is a circular arc polygon of 4p sides all
perpendicular to a ...
|ON A THEOREM OF PROF. KLEIN'S RELATING TO SYMMETRIC MATRICES. By |
Arthur Buchheim, M.A. The theorem, that if a is a real symmetric matrix the roots
of | a — \ | = 0* are all real, is old and well known. Prof. Klein has given a ...
|Klein's theorem is also true for these, and the corresponding singular surfaces |
are: z21+z32+z2z33 = 0 for the binary octahedral group Γ(2,3,4), and z21 +
z22z3 + zr+13 = 0 for the binary dihedral group with 4r elements. In the special
case r ...