Stalking discovery from the infinitesimal to the infinite.
نویسنده
چکیده
Full Text » PDF » Particle Dark Matter in the Universe: At the Brink of Discovery? Bernard Sadoulet Science 5 January 2007: 61-63. Abstract » Full Text » PDF » Neutrino Astrophysics: A New Tool for Exploring the Universe Eli Waxman Science 5 January 2007: 63-65. Abstract » Full Text » PDF » Neutrino Astrophysics Experiments Beneath the Sea and Ice Francis Halzen Science 5 January 2007: 66-68. Abstract » Full Text » PDF » Cosmic Rays: The Highest-Energy Messengers Angela V. Olinto Science 5 January 2007: 68-70. Abstract » Full Text » PDF » The Very-High-Energy Gamma-Ray Sky Felix Aharonian Science 5 January 2007: 70-72. Abstract » Full Text » PDF »
منابع مشابه
A New Applied Approach for Executing Computations with Infinite and Infinitesimal Quantities
A new computational methodology for executing calculations with infinite and infinitesimal quantities is described in this paper. It is based on the principle ‘The part is less than the whole’ introduced by Ancient Greeks and applied to all numbers (finite, infinite, and infinitesimal) and to all sets and processes (finite and infinite). It is shown that it becomes possible to write down finite...
متن کاملNumerical point of view on Calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains
The goal of this paper consists of developing a new (more physical and numerical in comparison with standard and non-standard analysis approaches) point of view on Calculus with functions assuming infinite and infinitesimal values. It uses recently introduced infinite and infinitesimal numbers being in accordance with the principle ‘The part is less than the whole’ observed in the physical worl...
متن کاملThe exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area
The Koch snowflake is one of the first fractals that were mathematically described. It is interesting because it has an infinite perimeter in the limit but its limit area is finite. In this paper, a recently proposed computational methodology allowing one to execute numerical computations with infinities and infinitesimals is applied to study the Koch snowflake at infinity. Numerical computatio...
متن کاملThe Infinity Computer and Numerical Computations with Infinite and Infinitesimal Numbers
A new methodology allowing one to execute numerical computations with finite, infinite, and infinitesimal numbers (see [7,9,15]) on a new type of a computer – the Infinity Computer – is introduced (see EU, USA, and Russian patents [8]). A calculator using the Infinity Computer technology is presented during the talk. The new approach is based on the principle ‘The part is less than the whole’ i...
متن کاملNumerical Calculus with Infinite and Infinitesimal Numbers and the Infinity Computer
The lecture introduces a new methodology allowing one to execute numerical computations with finite, infinite, and infinitesimal numbers (see [1–12]). It is based on the principle ’The part is less than the whole’ introduced by Ancient Greeks and applied to all numbers (finite, infinite, and infinitesimal) and to all sets and processes (finite and infinite). It is shown that it becomes possible...
متن کاملذخیره 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 ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Science
دوره 315 5808 شماره
صفحات -
تاریخ انتشار 2007