Properties of Asymptotic Notations || GATECSE || DAA
12 هزار بار بازدید -
3 سال پیش
-
properties of asymptotic notations ||
properties of asymptotic notations || asymptotic notation properties || properties of big o notation || properties of big omega notation || properties of big oh notation || properties of theta notation || properties of notation || properties of asymptotic functions || properties of asymptotic notation in daa || asymptotic notation properties proof || properties of asymptotic notations with proofs || big o notation properties || big omega notation properties || theta notation properties
Asymptotic notations are mathematical concepts used to measure the growth or decay of a function as the argument, denoted by 'n', approaches infinity. Common notations include Big-O, little-O, omega, and Theta, which are used in computer science and mathematical analysis to describe algorithm efficiency and function behavior.
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Email: [email protected]
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📚 Subject Wise Playlist 📚
▶️Data Structures: http://tinyurl.com/bwptf6f7
▶️Theory of Computation: http://tinyurl.com/5bhtzhtd
▶️Compiler Design: http://tinyurl.com/2p9wtykf
▶️Design and Analysis of Algorithms: http://tinyurl.com/ywk8uuzc
▶️Graph Theory: http://tinyurl.com/3e8mynaw
▶️Discrete Mathematics: http://tinyurl.com/y82r977y
▶️C Programming:http://tinyurl.com/2556mrmm
Properties of Asymptotic Notations:
Reflexivity:
If f(n) is given then
f(n) = O(f(n))
f(n) = Ω(f(n))
f(n) = Θ(f(n))
Symmetry:
f(n) = Θ(g(n)) if and only if g(n) = Θ(f(n))
Transistivity:
f(n) = O(g(n)) and g(n) = O(h(n)) ⇒ f(n) = O(h(n))
f(n) = Θ(g(n)) and g(n) = Θ(h(n)) ⇒ f(n) = Θ(h(n))
f(n) = Ω(g(n)) and g(n) = Ω(h(n)) ⇒ f(n) = Ω(h(n))
f(n) = o(g(n)) and g(n) = o(h(n)) ⇒ f(n) = o(h(n))
f(n) = ω(g(n)) and g(n) = ω(h(n)) ⇒ f(n) = ω(h(n))
Asymptotic notations are mathematical concepts used to measure the growth or decay of a function as the argument, denoted by 'n', approaches infinity. Common notations include Big-O, little-O, omega, and Theta, which are used in computer science and mathematical analysis to describe algorithm efficiency and function behavior.
Contact Details (You can follow me at)
Instagram: Instagram: thegatehub
LinkedIn: LinkedIn: thegatehub
Twitter: Twitter: THEGATEHUB
...................................................................................................................
Email: [email protected]
Website: https://thegatehub.com/
...................................................................................................................
📚 Subject Wise Playlist 📚
▶️Data Structures: http://tinyurl.com/bwptf6f7
▶️Theory of Computation: http://tinyurl.com/5bhtzhtd
▶️Compiler Design: http://tinyurl.com/2p9wtykf
▶️Design and Analysis of Algorithms: http://tinyurl.com/ywk8uuzc
▶️Graph Theory: http://tinyurl.com/3e8mynaw
▶️Discrete Mathematics: http://tinyurl.com/y82r977y
▶️C Programming:http://tinyurl.com/2556mrmm
Properties of Asymptotic Notations:
Reflexivity:
If f(n) is given then
f(n) = O(f(n))
f(n) = Ω(f(n))
f(n) = Θ(f(n))
Symmetry:
f(n) = Θ(g(n)) if and only if g(n) = Θ(f(n))
Transistivity:
f(n) = O(g(n)) and g(n) = O(h(n)) ⇒ f(n) = O(h(n))
f(n) = Θ(g(n)) and g(n) = Θ(h(n)) ⇒ f(n) = Θ(h(n))
f(n) = Ω(g(n)) and g(n) = Ω(h(n)) ⇒ f(n) = Ω(h(n))
f(n) = o(g(n)) and g(n) = o(h(n)) ⇒ f(n) = o(h(n))
f(n) = ω(g(n)) and g(n) = ω(h(n)) ⇒ f(n) = ω(h(n))
3 سال پیش
در تاریخ 1400/04/19 منتشر شده
است.
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