Sentence examples for proof with respect from inspiring English sources

Appellants also contend that the trial court erred in finding that they failed to satisfy their burden of proof with respect to the 3,300 votes that the Palm Beach County Canvassing Board reviewed and concluded did not constitute "legal votes" pursuant to section 102.168(3)(c).

Several of these semantics are, however, only classical means to study intuitionistic logic, for it can be shown that an intuitionistic completeness proof with respect to them cannot exist (Kreisel 1962).

The major limitation of this study is the limited case numbers, with the low incidence of some complications limiting the analytical proof with respect to age distribution.

A major issue that cannot be settled here concerns the question of where the burden of proof lies with respect to theistic arguments.

The proof of completeness with respect to strong models bears a close similarity to the proof of completeness using canonical models for the modal logic \(\mathsf{K}\).

Although the prototype sensor system has the limitations, the sensing method has provided a proof of concept with respect to using a combination of PIR sensor and CS theory for compressive motion acquisition.

Proposition 5.1.1 V is a monotonically decreasing function in r for any monotonically decreasing synaptic weight function W. Proof Differentiating M with respect to r yields: ∂ M ∂ r ( r, ω ) = 1 2 ∫ 0 ω ∫ 0 2 π ∂ ∂ r ( W ( d 2 ( tanh ( r ), tanh ( r ′ ) e i θ ) ) ) sinh ( 2 r ′ ) d r ′ d θ.

The current study was designed to test " proof-of-principle" with respect to whether repeated CNT is an intervention capable of reducing naturally occurring depressive symptoms in a dysphoric sample.

We provide the proof since there are some differences with respect to the proof of Theorem 1.

we conclude that it is reasonable to divide the proof into four parts with respect to the value of integer k.

Proof Differentiating equation (10) with respect to x, after some mathematical manipulations, we get ψ ′ ( L i ( x ) ) = ξ i ψ ′ ( x ) + ∑ j = 1 5 A j, i θ j − 1 ( 1 − θ ) 5 − j ( F i 2, (33).