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The phrase "and the first partial" is correct and usable in written English.
It can be used in contexts related to mathematics, particularly in discussions about series, integrals, or functions where partial sums or derivatives are involved.
Example: "In the analysis of the series, we will consider the convergence of the sum and the first partial to understand its behavior."
Alternatives: "and the initial segment" or "and the first component".
Exact(3)
Jean-Michel Dubernard performed the first modern hand transplant in 1998, the first double hand transplant in 2003, and the first partial facial transplant in 2005.
By Katherine Stirling October 4, 2008 Jean-Michel Dubernard performed the first modern hand transplant in 1998, the first double hand transplant in 2003, and the first partial facial transplant in 2005.
The thermal expansion depends on the interaction potential energy of atoms and the first partial derivative of it with respect to temperature, grain boundary structure, and residual strain, etc. Different preparation techniques of bulk nanocrystalline metal materials can result in different microstructures associated with thermal expansion.
Similar(57)
We defined and as the first partial derivative of and with respect to temperature T for BNII and CPII, respectively.
Their feat won them the 1980 Nobel Prize in physics and offered the first partial explanation for why we live in a universe made of normal matter instead of antimatter.
Next, we shall determine the first partial sums and the sum of a summable family ( x α ) α ∈ Λ in some elementary cases ( sup Λ means the least upper bound in Λ). 1.
If has the first partial derivatives and which satisfy. is continuous in for each and for all, and. is continuous in, then is continuously (Frechét) differentiable with respect to.
The oboe may have the seventh partial very strong and the third partial very strong whereas the trumpet — I'm just making all of this up of course — the trumpet may have the second partial and the fourth partial and the sixth partial.
It can be observed how the fifth partial of the bassoon note and the third partial from the saxophone note are overlapped.
When the ICPs were included in the model, only the first (partial r = −0.67, p <.001) and the second order term (partial r = 0.57, p <.001) of the ICPs were significant predictors for minutes of MVPA/day (resting VO2, work economy and age: partial r = 0.00 to 0.19, p =.296 to.983) (R = 0.803, F = 24.4, p <.001 for model).
The first partial operating segment would start in the Bay Area and run to the Central Valley.
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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