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Explain big O and big omega notations.?

Updated: 8/10/2023
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Neetugoel

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11y ago

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omega notation please see this website http://en.wikipedia.org/wiki/Merge_sort

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Q: Explain big O and big omega notations.?
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How do you calculate space complexity?

Calculate the amount of additional memory used by the algorithm relative to the number of its inputs. Typically the number of inputs is defined by a container object or data sequence of some type, such as an array. If the amount of memory consumed remains the same regardless of the number of inputs, then the space complexity is constant, denoted O(1) in Big-Omega notation (Big-O). If the amount of memory consumed increases linearly as n increases, then the space complexity is O(n). For example, the algorithm that sums a data sequence has O(1) space complexity because the number of inputs does not affect the amount of additional memory consumed by the accumulator. However, the algorithm which copies a data sequence of n elements has a space complexity of O(n) because the algorithm must allocate n elements to store the copy. Other commonly used complexities include O(n*n) to denote quadratic complexity and O(log n) to denote (binary) logarithmic complexity. Combinations of the two are also permitted, such as O(n log n).


What is big-o notation for describing time complexity of algorithm?

Big O notation allows to specify the complexity of an algorithm in a simple formula, by dismissing lower-order variables and constant factors.For example, one might say that a sorting algorithm has O(n * lg(n)) complexity, where n is the number of items to sort.Big O notation is used in Computer Science to describe the performance or complexity of an algorithm. Big O specifically describes the worst-case scenario, and can be used to describe the execution time required or the space used (e.g. in memory or on disk) by an algorithm.


What is the big-O worst-case complexity of this algorithm?

Can't say without some detail about the algorithm in question.


Explain the Input and output limitation of the PLC?

With a PLC the I/O is fixed when you buy it. Smaller stand alone units are hardwired with the exact I/O you are going to have. Even expandable configurations have a fixed input and output memory table. The PLC scans its Boolean algebra logic, constantly and sequentially, and compares that program to the I/O tables' inputs, outputs and relays. Then it makes its' decisions depending on their state.


Traversing in Doubly Linked List is faster then Singly Linked List?

Traversing a doubly linked list is generally faster than traversing a singly linked list, but the speedup depends on how you do the traversal:Traversing from first to last node: No difference.Random access: Doubly linked list is faster, the difference is a fixed factor. (Like twice as fast. Which makes it still very slow for random access compared to arrays.)Reverse order: Doubly linked list is just as fast traversing "backwards" as "forwards", while a singly linked list traversing in reverse order needs to traverse the entire list once for every element in the list - it is a LOT slower. (Time complexity O(n) for doubly linked list, O(n*n) for singly linked, if you are familiar with the notation.)If you are talking about the computer science "big O notation", doubly linked and singly liked lists are the same. This is because the Big O notation ignores fixed factors and only looks at how time increases with the length of the list, and in this respect the two are the same. (Except for the special case of traversing the list in reverse order. Even here a singly linked list could do it in O(n) time - same as a doubly linked list - by reversing the list (O(n)) before traversing it (O(n)) for a total time of 2*O(n), which by the rules of Big O is the same as O(n).)

Related questions

What is asymtotic notations?

aka big O notation e.g. 2*x^2 = O(x^2)


What is the difference between big o and omega notation in c plus plus?

The difference between Big O notation and Big Omega notation is that Big O is used to describe the worst case running time for an algorithm. But, Big Omega notation, on the other hand, is used to describe the best case running time for a given algorithm.


What does omega mean in greek?

Omega is the last letter in the ancient Greek alphabet. Also has a meaning of o-mega which means great (or grand) "o". In contrast with Omicron (o-mikron) which literaly means small (or little or lesser) "o".


When is omega used and when is omicron used in Greek grammar?

Omega (O-mega) means big O. Omicron (O-micron) means little O. That is not how the were written, but how they were pronounced. Omega was OOO-mega, we would use it to pronounce OWN in English. Omicron was pronounced as we would use the O in COT.


What is the difference between the pronunciation of Greek 'omicron' and Greek 'omega'?

The Greek letter omicron is pronounced like "ah-mih-KRAHN," with a short "o" sound. In contrast, the Greek letter omega is pronounced like "oh-MEH-gah," with a long "o" sound. Omega is typically pronounced a bit longer and with a slightly different emphasis compared to omicron.


What nicknames does Omega Kayne go by?

Omega Kayne goes by Crux, Omega, Kayne, O.Kayne, and O..


What is the sound of the Greek letter o?

The Greek letter "o" is pronounced as the short "o" sound, similar to the "o" in the English word "top."


What logo has an ohm symbol?

The Greek letter, 'omega'. This is equivalent to the English letter, 'O'.


What Greek vowel begins with om?

Omega. *** Omega (Ωω) and Omicron (Oo). Both sound like o nowdays.


Why is omega symbol used for ohms?

The first letter of the word Ohms is O. The equivalent letter in the Greek alphabet, is Omega.


What are some medicines that begin with the letter O?

Omega 3


What word starts with O and means all good?

Omega