divides the unit interval vs any message in the set

These two phrases are not directly comparable as they refer to different concepts. The first phrase 'divides the unit interval' is correct when discussing mathematical operations, while the second phrase 'any message in the set' is appropriate when referring to elements within a collection. They serve different purposes and cannot be interchanged.

Last updated: March 17, 2024 • 560 views

divides the unit interval

This phrase is correct when discussing mathematical operations that involve dividing the unit interval into smaller parts.

This phrase is commonly used in mathematics to describe the process of partitioning the unit interval into subintervals.

Examples:

The function divides the unit interval into equal parts.
The algorithm divides the unit interval based on certain criteria.

Show examples from the web [+]

Mar 23, 2012 ... Then X divides the unit interval [0,1] into two parts. Let Y ≥ 1 be the ratio of the longer part to the shorter part. (a) Find P(Y ≤ 2). Solution:.
Mar 23, 2012 ... Then X divides the unit interval [0,1] into two parts. Let Y ≥ 1 be the ratio of the longer part to the shorter part. (a) Find P(Y ≤ 2). (b) Find the ...
By lemma 4.5, a FGCE divides the unit interval up into fractions with denominators of P(i) = x1*x2*...*xi for a given i, and a/b is a fraction of such a form . Therefore ...
If one divides the unit interval into 10 equally sized nonoverlapping subintervals, a trajectory of the system is encoded as a series of integers from 0 to 9, where ...

any message in the set

This phrase is correct when referring to individual elements within a set or collection of messages.

It is used to indicate that the statement applies to all messages within a specific set without singling out any particular one.

Examples:

Any message in the set can trigger the response.
The analysis considers any message in the set as a valid input.

Show examples from the web [+]

to the worst-case response-time of mm . The solution is that any message in the set hp(mm) can be the worst-case candidate. Therefore, each message has to ...
It is equal to the largest transmission time of any message in the set of all the lower priority messages compared to the priority of m and is given by the following.
to produce a valid signature σ(m ) = (e, y, t) for any message in the set. S := {m |H( m) ⊕ H(m ) = t}, where t is a component of faking signature σ(m) correspondent ...
any message in the set from meeting its timing property [2]. In general, on-chip messages can be categorized as real-time. (RT) and nonreal-time (NT) messages ...

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divides the unit interval vs any message in the set