Sentence examples for squared length from inspiring English sources
The air change rate, as measured using a SF₆ tracer gas release, showed a significant positive linear correlation with the air mixing rate, defined as the turbulent diffusion coefficient divided by a squared length scale representing the room size.
Using the generalized Yau parameter method and the Sylvester theory, we verify that if M is a compact minimal hypersurface in Sn+1 whose squared length of the second fundamental form satisfies 0≤|A|2−n≤n22, then |A|2≡n and M is a Clifford torus.
Like the method of squaring the two sides of a right triangle that form a 90-degree angle to determine the squared length of the longest side, Pythagorean Winning Percentage is determined by squaring a team's runs scored, then dividing that by the sum of the team's runs scored squared plus its runs allowed squared.
The stress is greater if there is a voussoir beam structure, in which case the stress is directly proportional to the squared length of the fractured roof, and inversely proportional to the squared width of the pillar just before rotation occurs.
Moreover, we prove that if M is a complete self-shrinker with polynomial volume growth in Rn+1, and if the squared length of the second fundamental form of M satisfies 0≤|A|2−1≤121, then |A|2≡1 and M is a round sphere or a cylinder.
Our main tool is a local integral estimation of the squared length of the gradient of the restriction of the warping function on a spacelike surface.
The cost function to be minimized is the sum of the squared lengths of the edges shared by the same centroid: (10).
A-optimal design, for example, minimizes trace FIM-1), or equivalentrace FIM-1es or thequivalentlyared lengths of the axes of asyminimizesoffidence ellipsoids for θ.
Models were site- and sex-specific, included exact age at measurement, and accounted for nonlinear relationships by including squared prior length.
The surface of the blastema was measured and subsequently divided using the square length of the amputation plane for each fish.
The simulations indicate that there is a deviation from the inverse square length dependence of critical forces predicted from traditional linear elastic Bernoulli Euler and Timoshenko beam theories, where the nature of the deviation from the perfect inverse square length behavior differs for different crystallographic systems.
