Increasing Function
A function 
increases on an Interval 
if 
for all 
, where 
. Conversely, a function decreases on an Interval if 
for all with .
If the Derivative 
of a Continuous Function satisfies 
on an Open Interval 
,then is increasing on . However, a function may increase on an interval without having a derivative defined at allpoints. For example, the function 
is increasing everywhere, including the origin 
, despite the fact that theDerivative is not defined at that point.
- Permutation Symbol
- Permutation Tensor
- Peron Integral
- Perpendicular
- Perpendicular Bisector
- Perpendicular Foot
- Perrin Pseudoprime
- Perrin Sequence
- Perron-Frobenius Operator
- Perron-Frobenius Theorem
- Perron's Theorem
- Persistence
- Persistent Number
- Persistent Process
- Perspective
- Perspective Axis
- Perspective Center
- Perspective Collineation
- Perspective Triangles
- Perspectivity
- Pesin Theory
- Petersen Graphs
- Petersen-Shoute Theorem
- Peters Projection
- Peter-Weyl Theorem