Noncommutative algebra, ... kernel Hilbert spaces and realisation theory to probe the structural and functional characteristics of noncommutative rational functions, ... The graph below shows the ...

Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast ...

Algebra & trigonometry, fifth edition, Michael Sullivan : ... Graphs -- Functions and their graphs -- Polynomial and rational functions -- Exponential and logarithmic functions -- Trigonometric ...

Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and ...

Graphs are extremely useful in modeling systems in physical sciences and engineering problems, ... Directed-Graph Solutions of Linear Algebraic Equations; Topological Analysis of Linear Systems; ...

Sea ice data is updated daily, with a one-day lag. On occasion, there is data delay which is usually resolved within a few days. The orange line in extent and concentration images (left and middle) ...

8.5. Integration of Some Trigonometric Functions 184 8.6. Integration of Rational Algebraic Functions 186 8.7. Integration of Certain Irrational Algebraic Functions 188 8.8. Integration of Certain ...