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In this talk, we investigate congruence properties for Motzkin numbers and central trinomial coefficients. Let M_n and T_n denote the nth Motzkin number and the nth central trinomial coefficient respe...
In toxic microbial warfare, study finds strength in numbers     有毒微生物战  酵母菌株  微生物群落       font style='font-size:12px;'> 2023/5/23
When it comes to toxic microbial warfare, the stronger microbe does not always win.
As their name suggests, by-the-wind sailor jellyfish know how to catch a breeze. Using a stiff, translucent sail propped an inch above the surface of the ocean, these teacup-sized organisms skim along...
There’s a particular set of chemical reactions that governs many of the processes around us—everything from bridges corroding in water to your breakfast breaking down in your gut. One crucial part of ...
This workshop will consist of expository mini-courses and lectures introducing various aspects of modern enumerative geometry, among which: enumeration via intersection theory on moduli spaces of curv...
昆明理工大学理学院概率论与数理统计课件Chapter 5 The Law of Large Numbers and the Central Limit Theorem--The Central Limit Theorem.
昆明理工大学理学院概率论与数理统计课件Chapter 5 The Law of Large Numbers and the Central Limit Theorem--Law of Large numbers.
昆明理工大学理学院概率论与数理统计课件Chapter 5 The Law of Large Numbers and the Central Limit Theorem--Chebyshev’s Inequality.
商洛学院数学与计算机应用学院初等数论课件Chapter 1 Prime Numbers.
Math without numbers     Math  without numbers       font style='font-size:12px;'> 2016/5/6
Symbols don't always have to be part of the equation to understand math, according to cognitive neuroscientist Elizabeth Brannon.Brannon started her research studying monkeys to understand how non-hum...
We establish weak and strong law of large numbers for a class of branching symmetric Hunt processes with the branching rate being a smooth measure with respect to the underlying Hunt process, and the ...
Strong law of large numbers for supercritical superprocesses under second moment condition.
In 1849, A. de Polignac [20] conjectured that every odd number larger than 3 can be written as the sum of an odd prime and a power of 2. He found a counterexample 959 soon. In 1934, N. P. Ro- manoff [...
The purpose of this article is to prove that the forcing axiom for completely proper forcings is inconsistent with the Continuum Hypothesis. This answers a longstanding problem of Shelah.

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