Exponentiation and Euler Characteristic

نویسنده

  • James Propp
چکیده

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Exponentiation and Euler Measure

Two of the pillars of combinatorics are the notion of choosing an arbitrary subset of a set with n elements (which can be done in 2 n ways), and the notion of choosing a k-element subset of a set with n elements (which can be done in n k ways). In this article I sketch the beginnings of a theory that would import these notions into the category of hedral sets in the sense of Morelli and the cat...

متن کامل

Matrix Inversion Is As Easy As Exponentiation

Abstract. We prove that the inverse of a positive-definite matrix can be approximated by a weighted-sum of a small number of matrix exponentials. Combining this with a previous result [6], we establish an equivalence between matrix inversion and exponentiation up to polylogarithmic factors. In particular, this connection justifies the use of Laplacian solvers for designing fast semi-definite pr...

متن کامل

Matrix Exponentiation and the Frank-Kamenetskii Equation

Long time solutions to the Frank-Kamenetskii partial differential equation modelling a thermal explosion in a vessel are obtained using matrix exponentiation. Spatial derivatives are approximated by high-order finite difference approximations. A forward difference approximation to the time derivative leads to a Lawson-Euler scheme. Computations performed with a BDF approximation to the time der...

متن کامل

Efficient elliptic curve cryptosystems

Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation...

متن کامل

Harmonic analysis on spheres, II

1. A doomed-but-plausible trial calculation 2. Matrix exponentiation 3. Rotation-invariant derivatives on R 4. Instrinsic derivatives 5. Aside: GLn(R)-invariance of the Euler operator 6. ∑ i<j X 2 ij in coordinates on R 7. X` commutes with ∑ i<j X 2 ij 8. Stabilization of Hd by Xγ 9. Integration by parts for Xγ 10. Sup norms of derivatives of harmonic polynomials 11. Termwise differentiation of...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996