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Discover Ludwig"the basis which" is acceptable and usable in English, and it can generally be used to refer to the reason or rationale for something
For example, "I chose my career path based on the basis which I believed would make me the most successful."
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Such intelligent learning methods use kernel function as the basis, which could extend the linear algorithms to the nonlinear relationships of variables.
In order to distinguish the small interface peaks and noise, Lipschitz index was used as the basis, which is a reliable tool.
Śāntarakṣita agrees with this point but stresses that the concept is the mental representation or mental event and that is an exclusion, whereas for Dharmakīrti the representations are the basis which supports the exclusions and concepts.
However, if we fix a L-basis of R then it makes a new system of (commutative) linear equations with respect to the basis, which is easy to be solved in general.
However, in China, tunnel waterproof requirements and standards for various special uses are considerably different, such that the basis which engineers apply to design in water-control is insufficient.
The geodetic assumptions for the measurement of the neutrino velocity by applying the standard time of the Global Positioning System (GPS) and the length of the basis, which is defined by the geodetic measurements, are presented.
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The shortest arc distance value 0.155 is the main basis which determines the transition bandwidth of the filter.
The CRM/CTG advises the Minister of Social Affairs on the reimbursement basis, which might differ from the requested price.
Horse Heaven, in short, is written on the purest Marxist principles, and its author wants us to know the economic basis which underlies the slowly gathering action.
A related basis of (C(X^omega, Bbbk )) is the Haar basis, which is constructed in the following way.
Hence, a new approximation basis, the Gaussian basis, which is more compact both in time and frequency domain, is proposed.
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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