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Official correlations differ from correlation estimates due to post-processing to ensure positive definiteness and averaged about 0.90 but were lower for New Zealand than for the other countries.
Following purely Dirichlet case [ 2– 11], we, for definiteness, will speak about the quantum particle of the mass m and charge (with e being an absolute value of the electron charge) and the wavefunction Ψ that governs its motion through the solution of the corresponding steady state Schrödinger equation.
With a definiteness that perhaps reveals something about the single-mindedness required to be a tennis pro, Brown tells me that, from the start, he knew he wanted to get to –or near – the top.
Names are often (Geurts 1997, Anderson 2006) claimed to be syntactically "definite," since they can occur with markers of definiteness, such as the definite article in English.
This is sufficient to guarantee the positive definiteness of (B_{k+1}) as long as (B_{k}) is positive definite.
By the positive definiteness of P, we only need to prove (H(2 3,2 3)) is positive definite.
The definiteness of nouns is marked primarily through suffixes (endings), complemented with separate definite and indefinite articles.
I quite like the definiteness of that.
Investigating articles as expressions of definiteness in L2 English of Slavic speakers.
If Hamlet has something of the definiteness of a work of art, he also has all the obscurity that belongs to life.
We include an appendix that proves the positive definiteness of this covariance function.
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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