that will be used in our scheme vs Let x_i

These two phrases are not directly comparable as they serve different purposes. The first phrase is a statement about something being used in a scheme, while the second phrase seems to be a mathematical notation. Therefore, they are not interchangeable.

Last updated: March 17, 2024 • 643 views

This phrase is correct and commonly used to indicate something that will be utilized in a particular scheme or plan.

" that will be used in our scheme"

This phrase is used to describe an item, idea, or concept that is intended to be utilized or implemented within a specific scheme or plan.

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represented as a Hasse diagram. Auxiliary Function We introduce a function that will be used in our scheme below. Let p = 2q + 1 where p, q are all odd primes.
We now describe the parameters and some specific constructions that will be used in our scheme. 3.1 Parameters. Our group signature scheme involves two ...
Here we construct two derived sequence operations that will be used in our scheme's security analysis. Those two operations are first designed prior to the ...
Jul 6, 2015 ... The following is the introduction to the notations that will be used in our scheme. is a one-way hash function. is the th mobile user's digital ...

This phrase is correct in the context of mathematical notation, where 'x_i' represents a variable with a subscript 'i'.

"Let x_i"

This phrase is used in mathematics to introduce a variable 'x' with a subscript 'i', indicating a specific instance or element within a sequence or set.

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For $i = 1,...,n$, let $X_i$ be independent random variables that take the value $1 $ with probability $p_i$ and $0$ otherwise. Suppose at least one of the $p_i$ ...
How far from the starting point can I expect to be after n flips? Let X_i be a random variable (not an indicator r.v!) that is +1 if the ith flip is heads, -1 if it is tails .
Let S be the set of nodes for which C_i is less than the alphabet size, and let x_i be a node in S that has the smallest value of L_i among nodes in S. (If there are ...
For $p \in [0, 1]$ and $i \in \N_+$, let $X_i(p) = \bs{1}(U_i \le p)$. Then $\bs{X}(p) = \left( X_1(p), X_2(p), \ldots \right)$ is a Bernoulli trials process with probability ...

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that will be used in our scheme vs Let x_i