Sentence examples for choice of sign from inspiring English sources
The choice of sign "±" in Eq. (2) must ensure that k 1 is positive because electromagnetic waves propagating in a passive medium always suffer a loss.
Note that our choice of sign convention following Ref. [26] eliminates the need for taking the absolute value of the quantity cos ( π Φ ext / Φ 0 ) in Eq. (5).
Then (cf. [35, p. 27]) for each (sin [0,2]), the operators begin{aligned}&Delta _g+V^pm _0:H^{2-s}(M longrightarrow H^{-s}(M) end{aligned} (5.30) begin{aligned}&quad, text { are invertible, with bounded inverses.} end{aligned} (5.31 Furthermore, for each choice of sign, the said inverses act in a compatible fashion with one another.
Representatives from national corporations or local bottling companies offered retailers a choice of signs in a variety of styles, customized as the store owners wished.
One provision gives a person who is legally entitled to the information the choice of signing a pledge not to share the information improperly.
Several Republican lawmakers, like Representative Kristi Noem of South Dakota, made the unusual choice of signing a petition sponsored by Democrats to force a vote on the House Agriculture Committee's farm bill.
(2) (sumepsilon_{n} x_{n}) converges for every choice of signs (epsilon_{n}=pm1).
(sumepsilon_{n} x_{n}) converges for every choice of signs (epsilon_{n}=pm1).
Let (varepsilon= varepsilon_{i})) be any choice of signs from ϒ. Choose (epsilon>0), we consider x=sum_{iin A}varepsilon_{i}e_{i}+(1+ epsilon)sum_{iin B}e_{i}, (2.3) then (B inmathcal{G} x, n)) and we can find a Chebyshev greedy approximant (CG_{n}(x)) which is supported on B, such that x-CG_{n}(x)=sum_{iin A } varepsilon_{i}e_{i}+sum_{iin B}a_{i}e_{i} for some ({a_{i}}_{iin B}subsetmathbb{K}).
The signs s1, s2 and s3 on the right-hand sides of the equations may be chosen in eight possible ways, and each choice of signs gives up to two solutions, since the equation for rs is quadratic.
Subtracting one equation from another eliminates these quadratic terms; the remaining linear terms may be re-arranged to yield formulae for the coordinates xs and ys : x_{s} = M + N r_{s} : y_{s} = P + Q r_{s} where M, N, P and Q are known functions of the given circles and the choice of signs.
