Sentence examples for an elementary case from inspiring English sources

We present here an elementary case where one can compute explicitly the quasi-stationary time-periodic family of measures ν μ w ( t, x ), when the equation for the fast variable is linear.

In this work, three contact force models are applied to the elementary case of an elastic collision of a sphere with a flat wall.

To make itself an attractive destination for immigrants, the experts say, Japan will have to undergo a difficult cultural transformation for which the Japanese-Brazilians pose an elementary test case.

For the elementary school, a primary case was defined as any pupil or staff member who experienced gastroenteritis symptoms (vomiting and/or diarrhoea) between 09 and 16 January 2012, and secondary case as any pupil or staff member who experienced symptoms after the 16th of January.

Sections 3 5 are dedicated to the elementary case, when the numbers of levels of all factors are powers of the same prime.

To explain this in the most elementary case, we start from the following simple observation.

Johnson responded by saying: "It is elementary my dear Watson, I deduce a simple case of BBC bias".

Next, we shall determine the first partial sums and the sum of a summable family ( x α ) α ∈ Λ in some elementary cases ( sup Λ means the least upper bound in Λ). 1.

The present chapter considers some elementary cases amenable to traditional methods followed by more complex applications that require advanced techniques.

Their use in such elementary cases is relatively easy, but the general case of non-proportional multiaxial load histories require non-trivial incremental plasticity calculations to correlate EP stresses and strains at the notch tip, a quite challenging task.

We would like to stress that ((mathcal {M}_{X}, d_{L})) becomes non-separable even when X are the above elementary cases.