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where x denote vs number of operations required

These two phrases are not directly comparable as they serve different purposes. 'Where x denote' is used to introduce a variable or symbol in a mathematical context, while 'number of operations required' is used to describe a quantity or count of actions needed. They are not interchangeable in a sentence.

Last updated: March 17, 2024 • 499 views

where x denote

This phrase is correct when introducing a variable or symbol in a mathematical context.

This phrase is commonly used in mathematical writing to specify the meaning of a variable or symbol.

Examples:

  • Consider the equation y = 2x, where x denotes the input variable.
  • Let Sd = {x : x = 1} denote the unit sphere in Rd+1, where x denote the usual Euclidean norm. In the literature, the best Lp approximation by polynomials.
  • Let Sd = {x : x = 1} denote the unit sphere in Rd+1, where x denote the usual Euclidean norm. For a nonzero vector v ∈ Rd+1, let σv denote the reflection.
  • May 3, 2010 ... k ≤ n, where [x] denote the integer part of x. This extends and rafines previous results of U. Haagerup, P. de la Harpe [8] on the classical.
  • R—>0> Ti{R)~^2ifKJl where X? denote the eigenvalues of A with respect to p(x) ordered by magnitude. 3. Outline of proofs. Denote the eigenvalues (ordered by ...

number of operations required

This phrase is correct when describing the quantity of operations needed for a task.

This phrase is used to specify the count or quantity of operations necessary for a particular task or process.

Examples:

  • The algorithm's efficiency is measured by the number of operations required to complete the task.
  • Nov 7, 2014 ... To our knowledge, there are no reports in the literature that have detailed the average number of operations required for breast reconstruction ...
  • How can I programmatically find out the minimum number of operations required ? Thanks in advance for any help provided. clarification: ...
  • May 8, 2014 ... So, value of the partial product is 22712---basic number of operations required for this 8 which is <=2n. No, it is not 7. <=2n, which is, in any ...
  • Nov 5, 1996 ... 2.1 Number of Operations Required for the Gaussian Elimination Algorithm. We now estimate the number of arithmetic operations needed to ...

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