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Discover LudwigThe phrase "a dimension equal to" is correct and usable in written English.
It can be used when discussing measurements, sizes, or comparisons in various contexts, such as mathematics, physics, or design.
Example: "The length of the rectangle is a dimension equal to five meters."
Alternatives: "a measurement equivalent to" or "a size matching".
Exact(2)
The equation of motion of a multi-degree-of-freedom (MDOF) system by considering a force control under the effect of a specific excitation is: [M]ddot{X} + [C]dot{X} + [K]{ X} = - [M]{{text{I}}} ddot{X}_{{text{g}}} - { U_{{text{C}}} }, (13 where {Uc} is the control force vector which has a dimension equal to that of the displacement vector (n × 1).
(5) c o m m o n _ n e i g h b o u r _ s i m i l a r i t y v, u = V v ∩ V u / | V v | * | V u | Each protein v i is represented as a vector V v i with a dimension equal to | V p p i | where an element in V v i is equal to 1 if the corresponding vertex interacts with v i and 0 otherwise.
Similar(58)
A full-rank FA model, with Λ representing a lower triangle of a matrix of dimension equal to the number of traits (for Equation 2), provides a multivariate estimate of G, with identical values and associated likelihood to an unconstrained estimate.
The control objective is to regulate the vehicle position to a manifold of dimension equal to the underactuation degree.
Specifically, our leakage-bounded angular beamforming approach might be well suited for the design of the RF domain precoder, by applying the per stream optimization mentioned in Section 4.2 for each user more than L u times in order to obtain a precoder of dimension equal to the number of available RF chains.
Each map element contained a vector of dimension equal to the dimensionality of the input space, termed model vector.
Next, Caipirini creates one feature vector for each abstract: the vector has a number of dimensions equal to the total number of unique keywords found in all abstracts of sets A and B, and a length in each dimension equal to the number of occurrences of that keyword in the abstract.
The resulting iris-code parts of the left and right iris of width w×K/2 are concatenated, resulting in a single iris-code of dimension equal to that of an iris-code extracted from a single image (without deleting upper and lower iris-code parts).
The input layer provides input variables to the network in the form of a vector with the dimension equal to the number of neurons.
Therefore, the k v is a square matrix with dimension equal to n samples (in all classes), and (i,j) represents the row and column position.
The clustering algorithm works with a symmetrical matrix of dimension equal to the number of surrogate parents and elements indicating surrogacy amongst the surrogate parents, with 1's denoting surrogacy and 0's otherwise.
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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