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where x denote vs the number of operations required to

These two phrases aren't directly comparable as they serve different purposes. 'Where x denote' is used to introduce a variable or symbol in a mathematical context. On the other hand, 'the number of operations required to' is used to describe the quantity of operations needed to perform a certain task. They're both correct in their respective contexts but can't be directly compared.
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Explained by Miss E.
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Last updated: June 26, 2024 • 613 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 ...

the number of operations required to

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

This phrase is used to quantify the amount of operations necessary for a specific action or process.

Examples:

  • The number of operations required to solve the problem is significant.
  • Nov 7, 2014 ... For each case, the number of operations required to accomplish the breast reconstruction was recorded. Bilateral reconstruction was separated ...
  • ... number of digits of the primes being factored increases, the number of operations required to perform the factorization on any computer increases drastically.
  • is to determine the number of operations required to find the solution. We first look at the number of operations required to multiply a vector by a matrix, then to  ...
  • suggested that the number of operations required to treat peripheral arterial disease could be redud by combining. PTA with surgery. Doubilet and Abrams' used ...

Related Comparisons

the actions required are is vs the actions are required is the needs to vs the need to where x denote vs number of operations required to the number of the required operations per vs the number of the operations required required per call vs the number of the required operations per the codewords length of encoding vs the cost of selecting to

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