Chinese Annals of Mathematics, Series BA Mathematical Model with
... (man, respectively), r is the per capita rate of recovery in human and ds is the per capita death rate of infected snails. This model played an important role in epidemiology for evaluating possible control strategies. However, it is known that there are incubations of schistosoma. The aim of this p ...
... (man, respectively), r is the per capita rate of recovery in human and ds is the per capita death rate of infected snails. This model played an important role in epidemiology for evaluating possible control strategies. However, it is known that there are incubations of schistosoma. The aim of this p ...
Inelastic Collision and Switching of Coupled Bright Solitons in
... (1) is important in describing the effects of averaged random birefringence on an orthogonally polarized pulse in a real fiber. In addition, by considering the analytic solution of the system (1), conditions have been established for soliton switching and energy coupling among the two modes in a non ...
... (1) is important in describing the effects of averaged random birefringence on an orthogonally polarized pulse in a real fiber. In addition, by considering the analytic solution of the system (1), conditions have been established for soliton switching and energy coupling among the two modes in a non ...
(5x + 3)(7x – 2)
... the ‘5x’ multiplying onto the bracketed expression indicates that every term inside the brackets is to be multiplied by 5x: 5x(7x – 2) = (5x)(7x) + (5x)(-2) = 35x2 – 10x We just extend this notion to include multiplication by a binomial instead of just a monomial. So (5x + 3)(7x – 2) means “multiply ...
... the ‘5x’ multiplying onto the bracketed expression indicates that every term inside the brackets is to be multiplied by 5x: 5x(7x – 2) = (5x)(7x) + (5x)(-2) = 35x2 – 10x We just extend this notion to include multiplication by a binomial instead of just a monomial. So (5x + 3)(7x – 2) means “multiply ...
Solutions
... weighted fairness property in the definition of fluid-flow WFQ. (a) Describe in words why NFQ is inferior to WFQ: what property (or properties) should it possess that it does not? (b) Construct a numerical example with two flows to illustrate WFQ’s superiority to NFQ. Solution: • (a) The “max” in WF ...
... weighted fairness property in the definition of fluid-flow WFQ. (a) Describe in words why NFQ is inferior to WFQ: what property (or properties) should it possess that it does not? (b) Construct a numerical example with two flows to illustrate WFQ’s superiority to NFQ. Solution: • (a) The “max” in WF ...
A BOUNDARY POINT LEMMA FOR BLACK
... ut = xβ uxx − 2xβ−2 u u(x, 0) = x2 /2. For this system (7) is not satisfied. Remark If β = 0 in Theorem 2.4, i.e. if the differential operator is uniformly parabolic, then one only needs the inequality (5) to hold in a parabolic frustrum, compare Lemma 2.6, p. 10 in [11]. Examining the proof of the ...
... ut = xβ uxx − 2xβ−2 u u(x, 0) = x2 /2. For this system (7) is not satisfied. Remark If β = 0 in Theorem 2.4, i.e. if the differential operator is uniformly parabolic, then one only needs the inequality (5) to hold in a parabolic frustrum, compare Lemma 2.6, p. 10 in [11]. Examining the proof of the ...
MATH 307: Problem Set #3 Solutions
... For Prob 1.i and 1.ii please do each of the following (a) Find approximate values of the solution of the given value problem in the interval [0, 0.5] with ∆t = 0.100 using Euler’s method. Record your results as a table of values in your writeup. (b) Find approximate values of the solution of the giv ...
... For Prob 1.i and 1.ii please do each of the following (a) Find approximate values of the solution of the given value problem in the interval [0, 0.5] with ∆t = 0.100 using Euler’s method. Record your results as a table of values in your writeup. (b) Find approximate values of the solution of the giv ...
Fluid Mechanics
... A constitutive equation is one that expresses the relation between the shear stress or apparent viscosity and the shear rate through the rheological properties of the ßuid. For example, Equation (3.9.1) is the constitutive equation for a Newtonian ßuid. Many constitutive equations have been develope ...
... A constitutive equation is one that expresses the relation between the shear stress or apparent viscosity and the shear rate through the rheological properties of the ßuid. For example, Equation (3.9.1) is the constitutive equation for a Newtonian ßuid. Many constitutive equations have been develope ...
A Neoclassical Optimal Growth Model
... increase at an increasing rate, approaching infinity as time t approaches T . Thus, in this case, the prediction is that, while the real interest rate may decrease for some length of time while capital is accumulating along path 2, the real interest rate would eventually increase at an increasing ra ...
... increase at an increasing rate, approaching infinity as time t approaches T . Thus, in this case, the prediction is that, while the real interest rate may decrease for some length of time while capital is accumulating along path 2, the real interest rate would eventually increase at an increasing ra ...
Multiplication and Division Properties of Equality
... equation by any non-zero quantity without changing the answer. These are known as the Multiplication and Division Properties of Equality. ...
... equation by any non-zero quantity without changing the answer. These are known as the Multiplication and Division Properties of Equality. ...
Limitation of Cauchy Function Method in Analysis of Estimators of Frequency and Form of Natural Vibrations of Circular Plate with Variable Thickness and Clamped Edges
... of the influence functions, and partial discretization characteristic series. Good results achieved in previous publication (Jaroszewicz et al., 2008), which included linear modeling of mechanical systems with discrete-continuous parameters encouraged authors to use the above-mentioned methods for s ...
... of the influence functions, and partial discretization characteristic series. Good results achieved in previous publication (Jaroszewicz et al., 2008), which included linear modeling of mechanical systems with discrete-continuous parameters encouraged authors to use the above-mentioned methods for s ...
Model Repair for Markov Decision Processes
... MDPs defined as follows: if the MDP fails to satisfy a property, we aim to find new values for the transition probabilities so that the property is guaranteed to hold, while at the same time the cost of repair is minimised. Because solving the MDP repair problem exactly is infeasible, in this paper we ...
... MDPs defined as follows: if the MDP fails to satisfy a property, we aim to find new values for the transition probabilities so that the property is guaranteed to hold, while at the same time the cost of repair is minimised. Because solving the MDP repair problem exactly is infeasible, in this paper we ...
Drag and Drag Coefficients
... In fluid dynamics, the drag coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water. It is used in the drag equation, where a lower drag coefficient indicates the object will have less aerodynamic or hydrodynam ...
... In fluid dynamics, the drag coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water. It is used in the drag equation, where a lower drag coefficient indicates the object will have less aerodynamic or hydrodynam ...
Materials - UCSI A
... development of hydraulics. For example, if a piston pushes against the liquid in a closed cylinder, the force applied by the piston will translate into pressure on the walls of the cylinder. This occurs because liquids cannot be compressed as gases can. ...
... development of hydraulics. For example, if a piston pushes against the liquid in a closed cylinder, the force applied by the piston will translate into pressure on the walls of the cylinder. This occurs because liquids cannot be compressed as gases can. ...
Computational fluid dynamics
Computational fluid dynamics, usually abbreviated as CFD, is a branch of fluid mechanics that uses numerical analysis and algorithms to solve and analyze problems that involve fluid flows. Computers are used to perform the calculations required to simulate the interaction of liquids and gases with surfaces defined by boundary conditions. With high-speed supercomputers, better solutions can be achieved. Ongoing research yields software that improves the accuracy and speed of complex simulation scenarios such as transonic or turbulent flows. Initial experimental validation of such software is performed using a wind tunnel with the final validation coming in full-scale testing, e.g. flight tests.