Sentence examples for trivial uniform from inspiring English sources

There is a trivial uniform solution a =  a0 of Eq. (A.1) with Λ =  g′ a0).

(B.1) are equivalent to the minimization problem (B.2) min a (r ), b (r ) ∫ f (a, b ) + κ aa 2 (∇ a ) 2 + κ bb 2 (∇ b ) 2 d 3 r with the constraints (B.3) 1 V ∫ a (r ) d 3 r = a 0, 1 V ∫ b (r ) d 3 r = b 0 A trivial uniform solution to the system (B.1) is given by the relations (B.4) a (r ) = a 0, b (r ) = b 0 where a0 and b0 are determined by the initial condition for Eq. (27).

In particular, the increase in relative efficiency of the t-test under normality (or uniform) is trivial compared to its loss in relative power under asymmetry.

Furthermore, it is often not trivial at all to obtain reproducible uniform electrospun nanofibers for the optimized electrospinning conditions.

Interest point detector rules out the most trivial cases (such as patches of uniform intensity), but may still pass other uninteresting content (for example, a patch containing high spatial frequency random noise).

She heard chilling stories about black children being kicked out of school for infractions as trivial as farting, smiling and wearing the wrong uniform.

There exists an example of simple noetherian ring of uniform dimension (2) which has no non-trivial idempotents (c.f. [18, Example 7.16, page 441]).

These data reveal that the uniform scaling seen with changes in temperature is not a trivial consequence of adjusting developmental rate.

Conclusions: These data reveal that the uniform scaling seen with changes in temperature is not a trivial consequence of adjusting developmental rate.

MSP430s have a uniform 16-bit architecture: Both addresses and data are 16 bits wide, which makes it trivial to use any of the general-purpose registers in the CPU for either purpose.

It is easy to show that the trivial solution of (3.35) is -uniformly exponentially stable if and only if, where is the domain of uniform exponential stability of.