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
- Great Dodecahedron
- Great Dodecahedron-Small Stellated Dodecahedron Compound
- Great Dodecahemicosacron
- Great Dodecahemicosahedron
- Great Dodecahemidodecacron
- Great Dodecahemidodecahedron
- Great Dodecicosacron
- Great Dodecicosahedron
- Great Dodecicosidodecahedron
- Greater
- Greater Than/Less Than Symbol
- Greatest Common Denominator
- Greatest Common Divisor
- Greatest Common Divisor Theorem
- Greatest Common Factor
- Greatest Integer Function
- Greatest Lower Bound
- Greatest Prime Factor
- Great Hexacronic Icositetrahedron
- Great Hexagonal Hexecontahedron
- Great Icosacronic Hexecontahedron
- Great Icosahedron
- Great Icosahedron-Great Stellated Dodecahedron Compound
- Great Icosicosidodecahedron
- Great Icosidodecahedron