N ov 2 00 4 How real are real numbers ?
نویسنده
چکیده
We discuss mathematical and physical arguments against continuity and in favor of discreteness, with particular emphasis on the ideas of Emile Borel (1871–1956).
منابع مشابه
ar X iv : h ep - l at / 0 51 10 31 v 3 2 4 N ov 2 00 5 Möbius Fermions
We introduce a new domain wall operator that represents a full (real) Möbius transformation of a given non-chiral Dirac kernel. Shamir's and Chiu/Boriçi's domain wall fermions are special cases of this new class. By tuning the parameters of the Möbius operator and by introducing a new Red/Black preconditioning, we are able to reduce the computational effort substantially.
متن کاملar X iv : h ep - p h / 04 11 35 2 v 1 2 7 N ov 2 00 4 Electroweak phase transition in an extension of the standard model with a real Higgs singlet
The Higgs potential of the standard model with an additional real Higgs singlet is studied in order to examine if it may allow the strongly first order electroweak phase transition. It is found that there are parameter values for which this model at the one-loop level with finite temperature effect may allow the desired phase transition. Those parameter values also predict that the masses of th...
متن کامل1 4 N ov 2 00 6 On a model for the storage of files on a hardware I : Statistics at a fixed time and asymptotics
We consider a generalized version in continuous time of the parking problem of Knuth. Files arrive following a Poisson point process and are stored on a hardware identified with the real line. We specify the distribution of the space of unoccupied locations at a fixed time and give its asymptotics when the hardware is becoming full.
متن کاملar X iv : m at h - ph / 0 40 40 45 v 2 2 5 N ov 2 00 4 On the refined 3 - enumeration of alternating sign matrices
An explicit expression for the numbers A(n, r; 3) describing the refined 3-enumeration of alternating sign matrices is given. The derivation is based on the recent results of Stroganov for the corresponding generating function. As a result, A(n, r; 3)'s are represented as 1-fold sums which can also be written in terms of terminating 4 F 3 series of argument 1/4.
متن کامل2 7 N ov 2 00 6 A unified approach to polynomial sequences with only real zeros ∗
We give new sufficient conditions for a sequence of polynomials to have only real zeros based on the method of interlacing zeros. As applications we derive several well-known facts, including the reality of zeros of orthogonal polynomials, matching polynomials, Narayana polynomials and Eulerian polynomials. We also settle certain conjectures of Stahl on genus polynomials by proving them for cer...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004