Sentence examples for formulated simply as from inspiring English sources
Theorem 7 can be formulated simply as follows.
Ontological commitment can thus according to this line of thought be formulated simply as follows: you are committed to numbers if what you believe implies that there are numbers.
Assuming, as before, that H (defined in Equation 10) is known to the receiver, the components of Y are independent and identically distributed (i.i.d) with zero mean and energy E s, the MMSE (minimum MSE) receiver is given by Y ′ = E s · ( H A ) ‡ [ E s · ( H A ) · ( H A ) ‡ + σ 2 · H ] − 1 · R. Owing to the orthonormality of, the MMSE receiver can be formulated simply as: Y ′ = A ‡ ΛR, (28).
The effects of these components are additive not interactive, which should make straightforward the formulation of models predicting the influence of RV on aggression during contests and their outcomes, as, on current evidence, total RV can be formulated simply as the sum of its parts.
Clearly the theoretical insights of the later Confucian scholars were not formulated simply to oppose Buddhism: not a few instances of Neo-Confucian philosophizing emerged as reformulations of appealing aspects of either Buddhism or Daoism.
These were formulated as concretely as possible.
The pore water pressure can be simply formulated as Eq. 14.
It is of interest to note that the corresponding problem for CP-OFDM can be formulated as previously by simply setting β=0.
The test for discrimination can be formulated as a "but for" question.
We formulate the task as follows.
