Sentence examples for straight calculations from inspiring English sources
Proved from straight calculations.
where μ a = [ a 0 e j w q L, a 1 e j w q ( L − 1 ), …, a L ]. Proved from straight calculations due to the special structures of Λ M ( w q ) and T M + L ( μ a ).
By straight calculation, we have (see also [3]).
Moreover, a straight calculation shows that each T k satisfies ρ ( T k ( x ) − T k ( y ) ) ≤ A k ( x ) ρ ( x − y ), (6.4).
end{aligned} (3.2) A straight calculation shows that int_{Omegatimes{0}} vert v_{varepsilon,z} vert ^{q},dx geq Cvarepsilon^{frac{2N- N-s q}{2}}, (3.3) for ε small and some (Cvarepsilon^{frac{2N- N-s q
After straight calculation steps, we can get Pr C srd < R P ∅ ( 1 − P f ) = 1 − exp − κ 1 γ r ς srd 2 1 + κ 1 ϱ srd 2 / ς srd 2. (63).
where μ h q = [ h q ( 0 ) e j w q L, h q ( 1 ) e j w q ( L − 1 ), …, h q ( L ) ] T. Proved from straight calculation.
By some straight forward calculations, we can establish the following.
By the use of Equations 18, 19, and 21 for the condition (26), after straight forward calculations, we get A 1 t = 1 k I ′ m ( x ) ∂ t + i k U η (27).
After several straight mathematical calculations, we can obtain Pr C sd < R P ∅ ( 1 − P f ) = 1 − exp − κ 1 γ s ς sd 2 1 + κ 1 ϱ sd 2 / ς sd 2. (59).
These vehicles traveled approximately 12,000 miles per year so doing some straight forward calculations, it is easy to see that the program was designed to accomplish two things: stimulate the auto industry, and put more fuel-efficient cars on the road.
