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
 |  |  | |
|  | ||
 | |  | |
|  | ||
 | |  | |
|  |
The Fourier series is therefore
If 
, then 
and 
simplify to
| |  | |
| |  |
giving
See also Fourier Series
- One-Way Function
- Only Critical Point in Town Test
- Onto
- Open Disk
- Open Interval
- Open Map
- Open Mapping Theorem
- Open Set
- Operad
- Operand
- Operational Mathematics
- Operations Research
- Operator
- Optimization Theory
- Or
- Orbifold
- Orbison's Illusion
- Orbit (Group)
- Orbit (Map)
- Orchard-Planting Problem
- Orchard Visibility Problem
- Order (Algebraic Curve)
- Order (Algebraic Surface)
- Order (Conjugacy Class)
- Order (Difference Set)