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Two US high school girls rewrite 2,000 years of mathematics with a new Pythagorean proof once thought untouchable

For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its equation, a² + b² = c², is taught early and used widely, yet its implications ...
Scientific Research Publishing

Chernov, N.I. (1995) Limit Theorems and Markov Approximations for Chaotic Dynamical Systems. Probability Theory and Related Fields, 101, 321-362.

ABSTRACT: This paper presents an adaptive backstepping control strategy to achieve finite-time Chaos synchronization for the uncertain Lorenz system. Using Lyapunov ...
The New York Times

Judge says she will deny $2.8 billion NCAA settlement if roster limits are not adjusted

The federal judge overseeing the NCAA’s $2.8 billion antitrust lawsuit settlement said in an order handed down Wednesday that she will deny final approval of the agreement if a plan to implement ...
SciELO

Derivation of the Schrödinger equation III: the Central Limit Theorem

In this paper, we show that the Central Limit Theorem is deeply ingrained in the mathematical and physical structure of Quantum Mechanics. We show, furthermore, that the Central Limit Theorem provides ...
marktechpost

Enhancing Stability in Model Distillation: A Generic Approach Using Central Limit Theorem-Based Testing

Model distillation is a method for creating interpretable machine learning models by using a simpler “student” model to replicate the predictions of a complex “teacher” model. However, if the student ...
JSTOR Daily

CENTRAL LIMIT THEOREMS IN THE CONFIGURATION MODEL

The Annals of Applied Probability, Vol. 29, No. 2 (April 2019), pp. 1046-1069 (24 pages) ANGEL, O., VAN DER HOFSTAD, R. and HOLMGREN, C. (2016). Limit laws for self-loops and multiple edges in the ...
IEEE

Local Limit Theorems for Approximate Maximum Likelihood Estimation of Network Information Spreading Models

Abstract: We consider infection/spreading process models on a graph in which infected nodes are associated with real-valued messages that evolve as they spread, according to a parametric probabilistic ...
PNAS

Quantum entropy and central limit theorem

Convolution has a significant impact on many scientific disciplines, ranging from probability theory and harmonic analysis to information theory. Here, we introduce a framework to study quantum ...