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Math Colloquium

Visualization of Bernoulli Numbers presented by Lin Jiu (Dalhousie University)

Experimental mathematics is an approach through computation to investigate mathematical objects and identify properties and patterns. Due to the functions and commands of mathematical softwares, plenty of options for presenting and visualizing numbers and sequences can be easily found and applied. Therefore, the first part of the talk will present several of these methods from different problems, in number theory and combinatorics. Focusing on Bernoulli numbers and Bernoulli polynomials in the second part, combinatorial and probabilistic representations/visualizations follow, interpreting Bernoulli numbers/polynomials in terms of random variable, binary tree and lattice paths.



Math Department, Colloquium Room #319, Chase Building, Dalhousie University