We describe the Euclidean Algorithm, a way of expressing the greatest common divisor of two natural numbers as a "linear combination" of the numbers. This algorithm has a number of important applications, including forming the basis for a different proof of the Fundamental Theorem of Arithmetic. ...
Euclidean Algorithm & Diophantine Equation: Examples & Solutions Fermat's Last Theorem | Overview & Proofs 5:10 Binary Operation Definition, Function & Examples 5:34 Binary and Non-Binary Operations 5:34 Types of Subgroups in Abstract Algebra 5:43 Finitely Generated Abelian Group | Example...
It would be best to have a glimpse of Euclidean distance to have better clarity about Hamming distance. Below, we have mentioned the major differences between Hamming distance and Euclidean distance. Parameters Hamming Distance Euclidean Distance Definition Measures dissimilarity in binary data Measures ...
To further improve the effect of gene modules identification, combining the Newman algorithm in community detection and K-means algorithm framework, a new method of gene module identification, GCNA-Kpca algorithm, was proposed. The core idea of the algorithm was to build a gene co-expression netw...
The dominate point of the proposed algorithm relies on the fact that it utilizes the weighted sum of the nearest distance along the axis under consideration, which is nontrivial to calculate, instead of the squared Euclidean distance to find the axis to split during. Also, the proposed ...
clustering based on Euclidean distance, COSA shows an enhanced capability to trace partial similarities in groups of objects enabling a new discovery approach in systems biology as well as offering a unique approach to reveal common denominators of complex multi-factorial diseases in animal and human ...
This is the first review that almost provides a deep survey of the most important aspects of deep learning. This review helps researchers and students to have a good understanding from one paper. We explain CNN in deep which the most popular deep learning algorithm by describing the concepts, ...
11 Maryna Viazovska - 16 Automorphic Forms and Optimization in Euclidean Space 1:52:08 Yann LeCun - Graph Embedding, Content Understanding, and Self-Supervised Learni 1:10:11 Peter Scholze - 13 The Langlands Program and the Moduli of Bundles on the Curve 1:26:56 Peter Scholze - The ...
The first step to reducing the effect of viral disease is to prevent the spread which could be achieved by implementing social distancing (reducing the num
on Euclidean addition chains. However finding small chains remains a very difficult problem, so we also develop a specific exponentiation algorithm, based on Zeckendorf representation (i.e. representing the scalarkusing Fibonacci numbers instead of powers of 2), which takes advantage of our formulae...