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Proofs that Really Count: The Art of Combinatorial Proof

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TLDR
The Fibonacci and Lucas identities as mentioned in this paper have been used in the analysis of the Stirling numbers and the Gibonacci numbers in the context of number theory and number theory.
Abstract
1. Fibonacci identities 2. Lucas identities 3. Gibonacci identities 4. Linear recurrences 5. Continued fractions 6. Binomial identities 7. Alternating sign binomial identities 8. Harmonic numbers and Stirling numbers 9. Number theory 10. Advanced Fibonacci and Lucas identities.

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Markov Chains and Mixing Times

TL;DR: Markov Chains and Mixing Times as mentioned in this paper is an introduction to the modern approach to the theory of Markov chains and its application in the field of probability theory and linear algebra, where the main goal is to determine the rate of convergence of a Markov chain to the stationary distribution.
MonographDOI

Markov Chains and Mixing Times: Second Edition

TL;DR: The first two years of an undergraduate mathematics program is considered in this article, where the author assumes knowledge one might acquire in the first two or three years of a mathematics program, plus linear algebra, a little graph theory and the infamous concept of "mathematical maturity".
Proceedings ArticleDOI

Learning Filter Pruning Criteria for Deep Convolutional Neural Networks Acceleration

TL;DR: Learning Filter Pruning Criteria (LFPC) is proposed, which develops a differentiable pruning criteria sampler that is learnable and optimized by the validation loss of the pruned network obtained from the sampled criteria.

Universidade federal de minas gerais - ufmg

TL;DR: The results showed that the DAI is a common finding in patients admitted to adult ICUs and therefore deserves special attention in order to have better quality of nursing care provided to these patients.
Journal ArticleDOI

Linear Systems on Tropical Curves

TL;DR: In this paper, the authors define the complete linear system of a divisor on a tropical curve and show that linear systems are quotients of tropical modules, finitely generated by vertices of the cell complex.
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