Sentence examples for mathematical formulations using from inspiring English sources
Mathematical formulations using measured response function data under base excitation to identify mass and stiffness modeling errors, have been established.
The paper presents the mathematical formulations used in the design of the corresponding rollers which differs from the traditional Mecanum wheel rollers.
A mathematical formulation using mixed-integer optimisation for charging power minimisation is begin{aligned} &{ hbox{min} }sum {P_{i} } &{text{s}}.
The mathematical formulation uses the Hamilton principle and includes derivation of the governing equations along with the appropriate boundary conditions.
The mathematical formulation uses the SYNHEAT superstructure for the HEN, and ad hoc superstructures and nonlinear models to represent the utility systems.
The mathematical formulation uses the non-linear smeared crack/smeared reinforcement approach to consider plane stress states in reinforced concrete elements.
The mathematical formulation uses the ordinary unidirectional panel theory for the face-sheets and a two-dimensional elasticity approach for the core.
The mathematical formulation uses a collision model similar to that of Bhatnagar, Gross, and Krook (BGK), in a particle distribution function transport equation, in order to approximate the rates at which collisions bring about local equilibration of particle velocities and the masses, compositions, and temperatures of liquid films on bed particles.
Their method is based entirely on mathematical and statistical formulations using the polarity (positive or negative) and degree (ratings, level of appreciation) of every aspect it considers to predict scores of unclassified items.
Here, we introduce, along with the related mathematical formulations, the used models for simulating both illumination errors and image noise.
Instead of using complicated mathematical formulations, fuzzy logic uses human-understandable fuzzy sets and inference rules to obtain the solution that satisfies the desired system objectives.
