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The phrase "a different notation" is correct and usable in written English.
You can use it when referring to an alternative way of representing or expressing something, often in mathematical or technical contexts.
Example: "In this paper, we will explore a different notation for representing complex numbers."
Alternatives: "an alternative notation" or "another notation".
Exact(13)
He lucidly catalogues the "specifically American mix" of influences — Duchamp, Zen, Erik Satie, Thoreau, Robert Rauschenberg — that fed Cage's invention and sifts through the composer's often contradictory explications of the piece, which included three official scores, each in a different notation system.
Halpern & Shoham (1986) chose a different notation for Allen relations from the one used by Allen.
But the scheme below is close to the scheme in [[7], Chapter 10] except for using a different notation.
We have used here a different notation for a curve starting from a point ( 0, θ 0 ) in order to avoid confusions.
However, compared to the first scheme, it requires some changes in the hardware of the data acquisition of the imaging system and a different notation for reducing the measurements than by basic matrix multiplication.
Next, similar to Kokonendji et al. (2004) we denote this class of Poisson-Tweedie mixtures by ({{mathcal {P}}{mathcal {T}}_{p, mu, lambda }}), although a different notation, namely, ({{mathcal {P}}{mathcal {T}}_{p}(theta, lambda)}), is employed by Kokonendji et al. (2004, Section 3).
Similar(47)
We first consider the autocorrelation function. of a homogeneous Poisson process with constant rate, where we use a slightly different notation than in Eq. (7).
Similar methods (with a slightly different notation) were well known to Li Ye, and his Ceyuan haijing ("Sea Mirror of Circle Measurements"), written only one year after Qin completed his book, takes the search for the root of equations for granted.
It is important to note that we use a slightly different notation in OMMA than the one presented in the original Morwilog paper [9].
We have therefore obtained (1) in a slightly different notation (recall that T ii =0 ∀ i∈{1,2,…, P}).
The next definition introduces the standard V n -operator for which we use a slightly different notation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com