大阪大学2007年IV(A) 英作文 osaka 07 a zenki

When i is a pants decomposition, these two properties allow one to give a nice estimate of the length of a closed geodesic (Proposition 4.2): the main contribution is given by the

We present sufficient conditions for the existence of solutions to Neu- mann and periodic boundary-value problems for some class of quasilinear ordinary differential equations.. We

Besides the number of blow-up points for the numerical solutions, it is worth mentioning that Groisman also proved that the blow-up rate for his numerical solution is

The configurations of points according to the lattice points method has more symmetry than that of the polar coordinates method, however, the latter generally yields lower values for

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Each graph in subset Small-graphs was generated by the following procedure: (i) Generate, with a uniform probability distribution, a connected (possibly non-planar) graph hav- ing

Page (108): Parenthetically I wrote in Exercise 4–I, “The only [non-trivial] embedding theorem for large abelian categories that we know of [requires] both a generator and

Pages 91–93: I lost track of the many special cases of Exercise 3–O on model theory that have appeared in print (most often in proofs that a particular category, for example