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ρj is defined vs Xj is defined

Both phrases are correct, but they are used in different contexts. 'ρj is defined' is commonly used in mathematical or statistical contexts, where Greek letters are often used to represent variables. On the other hand, 'xj is defined' is more general and can be used in any context where 'x' is a variable being defined.

Last updated: March 17, 2024 • 509 views

ρj is defined

This phrase is correct, especially in mathematical or statistical contexts where Greek letters are used to represent variables.

This phrase is used to indicate that the variable represented by the Greek letter 'ρj' has been given a specific definition or value.

Examples:

In this equation, ρj is defined as the correlation coefficient for variable j.

Show examples from the web [+]

approximate distance oracle data structure we will just need that the ultrametric ρj is defined on Xj−1 (and not all of X). Thus, by the above argument, and Lemma ...
just need that the ultrametric ρj is defined on Xj−1. (and not all of X). Thus, by the above argument, and. Lemma 4.2, the expected preprocessing time in this case.
Nov 13, 2003 ... Then, aj = −bjj · ρj where ρj is defined to be ρj = 〈c(σ3),[meridian disc of Lj ]〉 ∈ Z. Note that ρj ≡ Jσ0 ([mj]) ≡ 1 mod 2 (by the Atiyah-Johnson ...
ψ(ρ) is a convex function of ρ when ρj is defined in [0, ζ. 1+ζ. −. ϵ], ∀j ∈G∪Bon. Therefore, ρm+1 converges to the optimal traffic load vector ρ∗. Based on ρ∗ ...

Alternatives:

ρj is specified
ρj is determined
ρj is set

Xj is defined

This phrase is correct and can be used in various contexts to indicate that the variable 'xj' has been given a specific definition or value.

This phrase is used to state that the variable 'xj' has been defined or assigned a particular meaning or value.

Examples:

In the programming code, xj is defined as the input variable for the function.

Show examples from the web [+]

Jaguar says the XJ is defined by its bold and confident face, with its prominent grille and chiselled bonnet contours. The XJ's black-clad C-pillars are designed to ...
The function φ(xi,xj) is defined as φ(xi,xj) = {. 0 if xi = xj. 1 if xi = xj. (a) How many states must be considered for an exhaustive search over f(x)? (b) If mi(xi) has the ...
The covariance of xi and xj is defined as. 2 ij = Cov xi; xj. 4. = E xi - i xj - j = E xixj - i j. = Z 1. ,1. •••. Z 1. ,1 i j p 1;•••; N d 1 •••d N - i j. The covariance matrix of a ...
Zx. [xi − E(xi)]2f(x)dx = Zxi. [xi − E(xi)]2f(xi)dxi. The covariance of xi and xj is defined as. C(xi,xj) = E[xi − E(xi)][xj − E(xj)]. = Zx. [xi − E(xi)][xj − E(xj)]f(x)dx. = Zxj Zxi.

Alternatives:

xj is specified
xj is determined
xj is set

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