"precise expressions" is a grammatically correct and commonly used phrase in written English.
It refers to word or phrases that convey a specific and exact meaning, without any ambiguity or vagueness. Example: In academic writing, it is important to use precise expressions to clearly convey your arguments and avoid any misinterpretation.
We also note that, since Q can be expressed a linear combination of permutation matrices representing elements in a group G, the matrix powers Q, Q, Q… will also be expressible as linear combinations of the same permutation matrices (although precise expressions for the relevant coefficients may or may not be easily computable).
The case r>2 was again much more difficult: eventually, in 2012, J. Balogh, B. Bollobás, H. Duminil-Copin and R. Morris managed to give precise expressions for the critical probabilities in all dimensions, for all infection parameters.
This video shows that it makes no difference whatsoever how much or how little dancing Portman actually did — because it reveals, in its brief duration, the extraordinary spectrum of expressions that she brings to the performance (a limited range of precise expressions, each of which suggests a different one of the vast stifled cries that are those of the character).
The precise expressions can be found in the Appendix.
In particular, architectural descriptions written in Rapide, Darwin or Wright are precise expressions in formalisms which are defined using an underlying mathematical semantics.
Those authors provide precise expressions for the diagonal matrix, δ, which ensure that stationary waves (whether they are Alfven waves or the entropy wave) have zero dissipation.
It is possible that B. mori CCEs expressed in the male testis have similar functions although the precise expression pattern might be different.
In our investigation, even in leaf and flag leaf, TalnRNA9 was differentially expressed, which suggested that long npcRNAs probably had much more precise expression regulation mechanisms.
Nevertheless, Tarnita and Nowak continue to insist that Hamilton's equation is not a precise expression of a biological phenomenon.
Perhaps even better than piercing the illusion would be an effort at direct, precise expression.
Returning to the case r=2, in 2003 A.E. Holroyd succeeded in giving a precise expression for the critical probability.
