If \(f = \Theta(g)\)
Note 1: ETH::A&D
Deck: ETH::A&D
Note Type: Horvath Classic
GUID:
modified
Note Type: Horvath Classic
GUID:
O||9vPX+Y`
Before
Front
Back
If \(f = \Theta(g)\)
\(\exists C_1,C_2 \ge 0 \quad \forall n \in \mathbb{N}\) \(C_1 \cdot g(n) \leq f(n) \leq C_2 \cdot g(n)\)
\(f\) grows asymptotically the same as \(g\)
\(f\) grows asymptotically the same as \(g\)
After
Front
When \(f = \Theta(g)\) this means?
Back
When \(f = \Theta(g)\) this means?
\(\exists C_1,C_2 \ge 0 \quad \forall n \in \mathbb{N}\) \(C_1 \cdot g(n) \leq f(n) \leq C_2 \cdot g(n)\)
\(f\) grows asymptotically the same as \(g\)
\(f\) grows asymptotically the same as \(g\)
Field-by-field Comparison
| Field | Before | After |
|---|---|---|
| Front | When \(f = \Theta(g)\) this means? |
Note 2: ETH::A&D
Deck: ETH::A&D
Note Type: Horvath Classic
GUID:
modified
Note Type: Horvath Classic
GUID:
xP1aIt[ejN
Before
Front
If \(f \geq \Omega(g)\) then
Back
If \(f \geq \Omega(g)\) then
\(\exists C \ge 0 \quad \forall n \in \mathbb{N} \quad f(n) \ge C\cdot g(n)\)
\(f\) grows asymptotically faster than \(g\)
\(f\) grows asymptotically faster than \(g\)
After
Front
When \(f \geq \Omega(g)\), this means what exactly?
Back
When \(f \geq \Omega(g)\), this means what exactly?
\(\exists C \ge 0 \quad \forall n \in \mathbb{N} \quad f(n) \ge C\cdot g(n)\)
\(f\) grows asymptotically faster than \(g\)
\(f\) grows asymptotically faster than \(g\)
Field-by-field Comparison
| Field | Before | After |
|---|---|---|
| Front | When \(f \geq \Omega(g)\), this means what exactly? |