The related concepts of an invariant subgroup and an ideal in a ring are brought in and the reader introduced to vector spaces and Boolean algebra. The theorems behind the abstract work and the ...

Includes Boolean algebra, binary numbers, logic gates ... divergence, curl, and the integration theorems of Green, Stokes, and Gauss. An overview of the generation and utilization of electrical energy ...

In that paper he laid the groundwork for Information Theory. Shannon also is recognized for applying Boolean algebra, developed by George Boole, to electrical circuits. Shannon recognized that ...

Topics include propositional logic, boolean algebras and rings, first-order logic and systems of deduction. Time permitting, we will touch on Tarski's notion of model, and the completeness and ...

A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...

Here the treatment includes several of the standard results on groups acting on trees, as well as many original results on ends of groups and Boolean rings of graphs ... are the equivariant loop and ...

Two young mathematicians, Calcea Johnson and Ne'Kiya Jackson, made headlines with a groundbreaking discovery in mathematics.

Topics include functions of several variables, partial derivatives, the gradient, multiple integrals; introduction to vector-valued functions and vector calculus, divergence, curl, and the integration ...

The longest side of a right-angled triangle is the hypotenuse. The hypotenuse is always opposite the right angle. Draw a square on each side of a right-angled triangle. Calculate the area of each ...

Pythagoras’ theorem is a statement that is true for all right-angled triangles.It states that the area of the square on the hypotenuse close hypotenuseThe longest side of a right-angled triangle ...

In their peer-reviewed work, Calcea Johnson and Ne'Kiya Jackson present five new ways of proving Pythagoras' Theorem via trigonometry. They also detail a new method for finding proofs that yield at ...

Boolean algebra. Combinational and sequential circuits. Minimization. Number representations and computer arithmetic (fixed and floating point). Machine instructions and addressing modes.