The course gives a basic introduction to analytical mechanics and classical field theory, with an emphasis on the Lagrange-Hamilton formalism, Noether's theorem and the action concept. Further, the ...

This course studies four fundamental algebraic structures: groups, including subgroups, cyclic groups, permutation groups, symmetry groups and Lagrange's Theorem; rings, including subrings, integral ...

Hundreds of years before a Greek scholar outlined his proof of the Pythagorean theorem, ancient Chinese scholars proved it using just 17 characters, a renowned Chinese mathematician highlighted in ...

Sets, functions and equivalence relations Modular arithmetic and residues Basic definitions of groups, subgroups and homomorphisms Basic properties of groups Examples of groups: cyclic groups, ...

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This is a Joint course, between SISSA PhD in Mathematical Analysis, Modeling, and Applications, Laurea Magistrale in Matematica, and Laurea Magistrale in Data Science and Scientific Computing. Most ...

We present a method for direct imaging of the electric field networks in the human brain from electroencephalography (EEG) data with much higher temporal and spatial resolution than functional MRI ...

In this fundamental study, the authors describe a new data processing pipeline that can be used to discover causal interactions from time-lapse imaging data. The utility of this pipeline was ...