Fourier Series

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{5}A_{51} Base Sequence = 12735 String Sequence = 12735 - 5 - 51 **

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Fourier Series

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**The strings**:

S_{7}P_{5}A_{51} (Physical Change)
**The math**:

Pj Problem of Interest is of type *change*. Fourier series basically replaces a periodic function with an infinite sum of sinusoids. It is in this sense that it is a

The importance of the *Fourier series* is that periodic functions or functions defined on finite intervals can be represented by infinite series of sines and cosines. The *orthogonality* of the sin and cosine functions indicated in the expressions for the Fourier coefficients, simplifies the determination of the coefficients.

Each term in the Fourier series is called the *harmonic*. Each harmonic has a larger frequency than the preceeding term, and all frequencies are *multiples* of a *fundamental frequency* that has the same *period* as that of the function f(x) represented by the Fourier series.

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

Single Variable Functions

Conics

Ordinary Differential Equations (ODEs)

Vector Spaces

Real Numbers

Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation

Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions

Fourier Series

Derivation Of Heat Equation For A One-Dimensional Heat Flow

The Universe is composed of *matter* and *radiant energy*. *Matter* is any kind of *mass-energy* that moves with velocities less than the velocity of light. *Radiant energy* is any kind of *mass-energy* that moves with the velocity of light.

Periodic Table

Composition And Structure Of Matter

How Matter Gets Composed

How Matter Gets Composed (2)

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Molecular Shapes: Valence Shell Electron Pair Repulsion

Molecular Shapes: Orbital Hybridization

Molecular Shapes: Sigma Bonds Pi Bonds

Molecular Shapes: Non ABn Molecules

Molecular Orbital Theory

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