Dichotomy of the addition of natural numbers

نویسنده

  • Jean-Louis Loday
چکیده

This is an elementary presentation of the arithmetic of trees. We show how it is related to the Tamari poset. In the last part we investigate various ways of realizing this poset as a polytope (associahedron), including one inferred from Tamari’s thesis.

برای دانلود رایگان 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

ON SOME STRUCTURES OF FUZZY NUMBERS

The operations in the set of fuzzy numbers are usually obtained bythe Zadeh extension principle. But these definitions can have some disadvantagesfor the applications both by an algebraic point of view and by practicalaspects. In fact the Zadeh multiplication is not distributive with respect tothe addition, the shape of fuzzy numbers is not preserved by multiplication,the indeterminateness of t...

متن کامل

Relationship between athlete’s men cortisol with leukocytosis and Neutrophils numbers after exercise in cold, warm and normal temperatures conditions

Background & Objective: Exercise and extreme environments, causes hormonal and immune systems changes. Therefore, the purpose of this study was evaluating the relationship between cortisol and leukocytosis and Neutrophil numbers after exercise in cold, warm and natural temperatures. Materials & Methods: Ten young male athletes ran on a treadmill for an hour at the intensity of %60VO2max in thre...

متن کامل

Chromosome Numbers and Karyotypes of Four Species Rubus L. from North of Iran

Karyotype study was performed across 7 populations of 4 Rubus species growing in Iran. The results showed that the chromosome numbers of R. sanctus (2n=2x=14) diploid, R. caesius, and R. discolor were (2n=4x=28) tetraploids, R. persicus (2n=8x=56) octoploid. The chromosome numbers of R. discolor, and R. persicus were reported here for the first time. Karyotypic formula also varied between the s...

متن کامل

Natural Convection Heat Transfer From Horizontal Cylinders in a Vertical Arra Confined Between Parallel Walls

Laminar natural convection from an array of horizontal isothermal cylinders confined between two vertical walls, at low Rayleigh numbers, is investigated by theoretical and numerical methods. The height of the walls is kept constant, however, number of the cylinders and their spacing, the distance between the walls and Rayleigh number have been varied. The optimal spacing (confining walls) and ...

متن کامل

Numerical investigation of natural convection phenomena in uniformly heated trapezoidal Cylinder inside an elliptical Enclosure

A numerical study of the natural convection of the laminar heat transfers in the stationary state was developed in a horizontal ring and compared between a heated trapezoidal internal cylinder and a cold elliptical outer cylinder. This annular space is traversed by a Newtonian and incompressible fluid. The Prandtl number is set to 0.7 (air case) for different Rayleigh numbers. The system of equ...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011