Weak Convergence
Weak convergence is usually either denoted 
or 
. A Sequence 
ofVectors in an Inner Product Space 
is called weakly convergent to a Vector in if
Every Strongly Convergent sequence is also weakly convergent (but the opposite does notusually hold). This can be seen as follows. Consider the sequence
that converges strongly to 
, i.e.,
as 
. Schwarz's Inequality now gives
The definition of weak convergence is therefore satisfied.See also Inner Product Space, Schwarz's Inequality, Strong Convergence
- Room Square
- Root
- Root Dragging Theorem
- Rooted Tree
- Root Linear Coefficient Theorem
- Root-Mean-Square
- Root of Unity
- Root (Radical)
- Root Test
- Root (Tree)
- Rosatti's Theorem
- Rose
- Rosenbrock Methods
- Rotation
- Rotation Formula
- Rotation Group
- Rotation Matrix
- Rotation Number
- Rotation Operator
- Roth's Removal Rule
- Roth's Theorem
- Rotkiewicz Theorem
- Rotoinversion
- Rotor
- Rotunda