Fourier Series--Triangle
Let a string of length 
have a 
-displacement of unity when it is pinned an 
-distance which is (
)th of theway along the string. The displacement as a function of is then
The Coefficients are therefore
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The Fourier series is therefore
If 
, then 
and 
simplify to
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giving
See also Fourier Series
- Rayleigh Differential Equation
- Rayleigh Distribution
- Rayleigh-Ritz Variational Technique
- Rayleigh's Formulas
- Rayleigh's Theorem
- Real Analysis
- Real Axis
- Real Function
- Realizer
- Real Line
- Real Matrix
- Real Number
- Real Part
- Real Polynomial
- Real Projective Plane
- Real Quadratic Field
- Rearrangement Theorem
- Reciprocal
- Reciprocal Difference
- Reciprocal Polyhedron
- Reciprocating Sphere
- Reciprocation
- Reciprocity Theorem
- Rectangle
- Rectangle Function