Sentence examples for frame equation from inspiring English sources

For semi-quantitative analysis, SUV was calculated using the mean voxel value within the ROI of the last 15-min frame (Equation 1).

The proof follows from an explicit calculus with respect to the N-adapted frame (Equation 19) and N-adapted coframe (Equation 20) in Equation 50 (equivalently, in Equation 51) and re-grouping of the components as to distinguish the z- and v-components (Equation 53) for g AB = g a ' a ', h ab Open image in new window.The set of metric d-connections.

The Ricci d-tensor R AB ⅃ R ABE E Open image in new window with respect to a locally adapted frame (Equation 19) has h- v-components, R AB = R a ' b ', R a ' a, R a a ', S ab Open image in new window, where R a ' b ' = R a ' b ' c ' c ', R a ' a = - 2 P a ' a = - P a ' b ' a b ', R a a ' = 1 P a a ' = P a a ' b b, S ab = S abc c.

The number of frames per hour was then calculated from the average cell movement per frame (Equation 8).

The nonholonomic frames (Equations 72 and 74, respectively) induce naturally a torsion structure via the anholonomy coefficients (Equations 76 and 78, respectively).

Corollary 2. The Einstein equations (Equation 135) for the ansatz (Equation 136) are compatible for vanishing sources and if and only if the nontrivial components of the source, with respect to the frames (Equations 72 and 73, are any functions of type ϒ ^ 1 1 = ϒ ^ 2 2 = ϒ 1 ( x 1, x 2, v ), ϒ ^ 3 3 = ϒ ^ 4 4 = ϒ 3 ( x 1, x 2 ).

The capture-aware backlog estimation method and optimum frame length equation are exploited to analyze the maximum achievable throughput of their scheme.

The two conferred and shared data as their work progressed, and Moseley framed his equation in terms of Bohr's theory by identifying the K series of X-rays with the most-bound shell in Bohr's theory, the N = 1 shell, and identifying the L series of X-rays with the next shell, N = 2.

Models shed light on processes which recur; the universe, by definition, happens just once.Mr Smolin believes that a hypothesis does not need to be framed in equations to be scientific.

The z- and v-splitting of formulas can be computed by introducing the adapted N-frames in Equations 74 and 75 and d-metric ° g = g a ' b ', h ab Open image in new window into Equations 51, 95, and 96 for the general Berwald d-connections.

The calibration of the model could be carried out through explicit approaches (e.g., Ormsbee and Wood 1986; Bhave 1988; Boulos and Wood 1990; Todini 1999) in which unknown pipe roughness coefficients are obtained by framing hydraulic equations using the observed flow and pressure values.