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Mechanical Energy

"An object's ability to do work is measured by its mechanical energy, or the sum the object's kinetic energy and potential energy. Mechanical energy is due to the position or movement of an object. Th ...

Arithmetic Sequences

"A list of numbers that follows a rule is called a sequence. Sequences whose rule is the addition of a constant are called arithmetic sequences, similar to geometric sequences that follow a rule of mu ...

Matrix Operations

"When working with matrices, we can perform a number of matrix operations including matrix addition and subtraction. When adding or subtracting matrices, we first need to ensure that the matrices have ...

Matrix Multiplication

"When working with matrices, we can perform a number of matrix operations including matrix multiplication. When multiplying matrices, we first need to ensure that the matrices have the same dimension ...

Mathematical Induction

"An important and fundamental tool used when doing proofs is mathematical induction. We can use mathematical induction to prove properties in math, or formulas. For example, we can prove that a formul ...

Mass-Energy Equivalence

"Mass-energy equivalence states that mass is concentrated energy. In his theory of special relativity Einstein formulated the equation E=mc^2. There is a tremendous amount of energy in mass. A 20g mar ...

Magnetic Fields

"Magnetic fields are vector fields associated with magnetic forces. Magnetic fields are generated by Hard Ferromagnets. Unlike electric fields, magnetic fields always make closed loops and are never c ...

Magnetic Domains

"Magnetic domains are collections of magnetic fields in the same direction. They are often found in ferromagnetic materials because their atoms align with magnetic fields in a process called a ferroma ...

Antidifferentiation

"Finding the antiderivatives of a function require a little backwards thinking. Since the derivative of the wanted antiderivative is the given function, checking for correctness is easy. You just take ...

Lorentz Force

"Lorentz force is the force on charge in electromagnetic field. Lorentz force is determined by the formula F = qv x B, in which q is the charge, v is the velocity, and B is the magnetic field density. ...

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