Démonstration élémentaire d'une proposition générale de la théorie des probabilités.

  title={D{\'e}monstration {\'e}l{\'e}mentaire d'une proposition g{\'e}n{\'e}rale de la th{\'e}orie des probabilit{\'e}s.},
  author={P. Tchebichef},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  pages={259 - 267}
  • P. Tchebichef
  • Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)

A Proof for Navier-Stokes Smoothness

The Navier-Stokes problem asks for a proof for fundamental smoothness in fluid dynamics. Fluently flying forward, this Essay solves the problem, proving fundamental smoothness. The solution draws on

Confidence intervals for average success probabilities

We provide Buehler-optimal one-sided and some valid two-sided confidence intervals for the average success probability of a possibly inhomogeneous fixed length Bernoulli chain, based on the number of

A Tricentenary history of the Law of Large Numbers

The Weak Law of Large Numbers is traced chronologically from its inception as Jacob Bernoulli's Theorem in 1713, through De Moivre's Theorem, to ultimate forms due to Uspensky and Khinchin in the

Extreme expectations of Bernoulli convolutions given their first few moments are attained at shifted convolutions of as few binomials

. A result of Chebyshev (1846) and Hoeffding (1956), on bounding an expectation of a given function with respect to a Bernoulli convolution (also called Poisson binomial law, or law of the number of

The life, work, and legacy of P. L. Chebyshev

  • N. Bingham
  • Mathematics
    Teoriya Veroyatnostei i ee Primeneniya
  • 2021
Дается краткое описание жизни и творчества П. Л. Чебышeва и его далеко идущего влияния. Обсуждается вклад П. Л. Чебышeва в теорию вероятностей, теорию чисел и механику, рассказывается о его учениках

Optimizing stakes in simultaneous bets

This paper proves the conjecture that the convex combination of iid Bernoulli random variables that maximizes P for a given threshold t is an average if and only if p is the success probability of the Bernouieri random variables.

Herpes Simplex Virus Type 1 is the Cause of Alzheimer’s Disease

A systematic review and re-analysis of studies which investigated the relationship between Herpes simplex virus type 1 and AD by HSV-1 immunoglobulin G (IgG) serology and polymerase chain reaction (PCR) methods provided sufficient evidence to conclude that HSv-1 is the cause of AD.


  • Game‐Theoretic Foundations for Probability and Finance
  • 2019

Effective cycles on the symmetric product of a curve, I: the diagonal cone

The cone is investigated and the convex-geometric properties of the cone are studied and the asymmetric product-cycles in the symmetric product are studied.

The Fundamental Blossoming Inequality in Chebyshev Spaces—I: Applications to Schur Functions

This work definitely demonstrates that, via blossoms, CAGD techniques can have important implications in other mathematical domains, e.g., combinatorics.