Sentence examples for lead to fractional from inspiring English sources

Mathematical modeling of fluid mechanics (dynamics, elasticity) and other areas of physics lead to fractional partial differential equations.

By expanding the right hand and by comparing the coefficients of form we lead to fractional Nambu mechanic equations.

Their excitation and explosive evaporation lead to fractional ablation of the skin and the formation of micropores with a diameter of approximately 150 μm.

We considered this to be important for clinical use because factors such as contamination by normal tissue, tumor heterogeneity, and polyploidy in the tumor may lead to fractional copy number changes.

However, as pointed out in the previous section, the enhanced, yet nonideal, problem formulation still leads to fractional values when solved using linear programs.

It is shown that the Timoshenko beam is equivalent to a simple dashpot in the high-frequency limit, whereas Euler Bernoulli's beam model leads to fractional derivatives of the unknown state variables in an equivalent time-domain description.

For cancer cells our results show that treatment of a hypothetical population of identical cancer cells still leads to fractional cell killing, which results solely from the intrinsic stochastic variability in chemical reactions.

Thus, cerebral activity leads to fractional increases in cerebral perfusion of oxygenated blood (ΔCBF) that exceed fractional increases in oxygen metabolic rate (ΔCMRO2) for active neurons, leading to increases in the T2* magnetic resonance (MR) signal known as the BOLD response (Ogawa and Lee 1990; Ogawa et al. 1992).

We show that treatment of such a population of cancer cells still leads to fractional cell killing which is attributed entirely to the stochastic nature of apoptotic signaling, despite the presence of a large number of molecules for each protein species in the intrinsic pathway of apoptosis [ 17– 17].

Tempered power law waiting times lead to tempered fractional time derivatives, which have proven useful in geophysics.

Also, the repetition of the variables in the constraints introduces some symmetry which in turn may lead to optimal fractional values by taking a linear combination of 's such that their sum is integer yields the same result as having integral values.