Summing Cubes by Counting Rectangles

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Counting Three-Line Latin Rectangles

A k × n Latin rectangle is a k × n array of numbers such that (i) each row is a permutation of [n] = {1, 2, . . . , n} and (ii) each column contains distinct entries. If the first row is 12 · · ·n, the Latin rectangle is said to be reduced. Since the number k × n Latin rectangles is clearly n! times the number of reduced k× n Latin rectangles, we shall henceforth consider only reduced Latin rec...

متن کامل

Counting Domino Tilings of Rectangles via Resultants

The classical cosine formula for enumerating domino tilings of a rectangle, due to Kasteleyn, Temperley, and Fisher is proved using a combination of standard tools from combinatorics and algebra. For further details see [4].

متن کامل

Counting disjoint hypercubes in Fibonacci cubes

We provide explicit formulas for the maximum number qk(n) of disjoint subgraphs isomorphic to the k-dimensional hypercube in the n-dimensional Fibonacci cube Γn for small k, and prove that the limit of the ratio of such cubes to the number of vertices in Γn is 1 2k for arbitrary k. This settles a conjecture of Gravier, Mollard, Špacapan and Zemljič about the limiting behavior of qk(n).

متن کامل

Summing up by the Chairman

Directors welcomed the continued resilience of the global financial system, which has been supported by solid global growth, low inflation, abundant liquidity, and flat yield curves. They considered that financial conditions will likely remain benign in the most likely scenario of continued growth, contained inflation, and stable inflationary expectations. At the same time, Directors noted that...

متن کامل

Summing up by the Chairman

Directors noted that global fi nancial stability has endured a diffi cult period since the publication of the April 2007 Global Financial Stability Report (GFSR). Overall, fi nancial risks have risen and markets are continuing to experience bouts of turbulence. Directors agreed with staff that, while there has been some calming in certain respects, markets generally remain unsettled, and credit...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: The College Mathematics Journal

سال: 2006

ISSN: 0746-8342

DOI: 10.2307/27646391