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The phrase "as a function of the joint" is correct and usable in written English.
It can be used in contexts related to mathematics, statistics, or any field where relationships between variables are being discussed, particularly in relation to joint distributions or joint functions.
Example: "The probability density function can be expressed as a function of the joint distribution of the two random variables."
Alternatives: "in relation to the joint" or "based on the joint".
Exact(2)
The small number of joints allows us to show graphically the magnitude of the studied norms as a function of the joint torques.
This can be expressed as a function of the joint probability density function f A,Ω,Φ a,ω,ϕ) of the sinusoïdal parameters included into a quantization cell: δ ̄ ( a ~, ω ~, ϕ ~, Δ a, Δ ω, Δ ϕ ) = ∭ f A, Ω, Φ ( a, ω, ϕ ) δ ( a, ω, ϕ, a ~, ω ~, ϕ ~ ) da d ω d ϕ. (43).
Similar(58)
In addition, in order to model the behavior of jointed rock masses, their strength and deformability should be expressed as a function of joint orientation, joint size, and joint frequency.
The joint shear strength is calculated using a simple expression as a function of the shear resistance of the joint without X-bars.
An analytical model is derived to quantify the loading deflection as a function of the link flexibility and joint clearance.
Appropriate stimulation patterns are computed as a function of the desired lower-limb knee joint movements.
Equation 4 allows us to estimate theoretically the joints lifespan as a function of the applied load.
The axial displacement in the C joints is also determined as a function of the manufacturing errors and the clearance.
The fraction of genes joint to the three datasets was compared as a function of the number of top-ranked genes selected.
The formulation allows for the joint optimization of the transmit-receive functions for maximizing detection and/or target identification (ID) as a function of the target channel characteristics.
For this reason, the potential energy of the structure is regarded as an explicit function of the joint displacements of the truss in current configuration (physical space) as well as the joint positions in reference configuration (design space).
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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