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We categorized BMI and introduced a square term for age to meet linearity with the outcomes.
Duality theorems for nondifferentiable programming problem with a square root term were obtained by Lal et al. [8].
One of the most important unsolved problems in mathematics is the Riemann hypothesis about the zeros of the Riemann zeta function, which gives a square root type error term for the number of primes in a large interval.
The model was constructed by estimating a Cox regression model, maximising a likelihood function with a ridge (sum of squared regression coefficients) penalty term to prevent against over-fitting potentially caused by the small number of events in our study (76 events).
This optimization turns out to minimizing the sum-of-squares error function with quadratic regularization terms ∑ i = 1 N ∑ k = 1 M ( X ik − A i T S k ) 2 + η a ∑ i = 1 N ∥ A i ∥ 2 + η s ∑ k = 1 M ∥ S k ∥ 2. (8).
We used a function generator to produce sound with a sine wave and with a square wave.
The problem is described via a least squares (LS) cost function with a rich structure.
Yeah, S squared G, Green's function with a double shift.
We employ a novel aggregate objective function for use with our basic constraint model, including a generalized least-squares term (for fitting available experimental measurements) and a linear design term (for representing biological or engineering goals).
Start out with a square image.
Start with a square sheet of paper.
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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