# differential equations In A Sentence

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• It dosn't require much background such as differential equations.
• These are nonlinear differential equations that typically need to be solved using the techniques of computational fluid dynamics.
• In this paper, we investigate a class of integro-differential equations with one parameter and integral boundary conditions.
• Areas covered include linear algebra, optimization, quadrature, differential equations, regression analysis, and time series analysis.
• Linear equationms are normally modeled using linear integro-differential equations.
• The differential equations of the censorial moving and running relative to censorial of the eccentric vibration seed-metering system were set up with the dynamic analysis method.
• Hamiltonian theory is an important element of integrable systems, whether discrete, ordinary differential or partial differential equations.
• This paper presents and proves a sufficient condition of the invertibility of a general class of dynamic systems, which are represented by input- output differential equations.
• Differential equations are equations involving derivatives.
• By the second general method the moon's co-ordinates are obtained in terms of the time by the direct integration of the differential equations of motion, retaining as algebraic symbols the values of t
• The differential equations determining the evolution function ? " t " are often ordinary differential equations : in this case the phase space " M " is a finite dimensional manifold.
• I'm a Mechanical Engineering student in differential equations and Calc III at the moment.
• Laplace transformation, array, vector, determinate, linear equation set, Fourier series, partial differential equations.
• Three new second-order quadratic differential equations were put forward and their integrability was demonstrated with the method of order degradation and linearization.
• Abandoning differentiability doesn't mean abandoning differential equations.
• With them, we can still deal with the nondifferentiable case with the tools of differential equations.
• However, the author never requires that you actually know how to solve any differential equations.
• But later, she decides that raising babies is more fun than differential equations.
• The existence and uniqueness of solution for the fractional differential equations of Endolymph is proved.
• Finesse this problem by starting with the applications, considering some specific non-linear differential equations.
• A Parallel Partial differential equations Solver Generator on World Wide Web.
• Doctoral dissertation in the field of differential equations he defended in 1912 in Giessen.
• The differential equations which completely determine the changes in the co-ordinates x and y, or the motion of m relative to M, are: - d2x (M+m)x di' r3 (1) d2y _ (M+m)y dt 2 r3 These formulae are wo
• In fact, the information-processing mechanisms are designed for implementing the systems of differential equations associated with neural networks.
• The quantum dynamics of optical excitations yields an integro-differential equations that constitute the SBEs.
• Black women, you see, swoon over Denzel Washington and Wesley Snipes because these men are proficient at computing differential equations.
• I found it to be one of the better texts in differential equations that I have come across.
• In addition, he wrote a number of scientific memoirs and papers, including two on the integration of partial differential equations (Jour.
• By means of variable substitution method, this paper discusses some kinds of second order nonlinear differential equations and their integrality and gives the expression to general solutions.
• Ordinary differential equations, Partial differential equations, Linear algebra, Special functions, Calculus of variation.
• It successfully replaces the solving of complicated differential equations in the kineto-elastodynamic(KED) analysis with the solving of a set of algebraic equations, saving a lot of computing time.
• The dynamical property of this model is described by dual differential equations and it can find out several stable equilibrium points from any initial point in the state space.
• For most of the nonlinear partial differential equations which we have tested, the running time is no more than 10 seconds.
• The calculus has been applied to stochastic partial differential equations as well.
• A discussion, before differential equations, on related rates would be nice.
• You will need a math background through differential equations to be comfortable with these.
• As an example, humans use differential equations and complex numbers to solve simple harmonic motion.
• Leave the computational stuff to the ordinary differential equations course.
• The results are applied to a class of retarded delay differential equations.
• Five others concentrate on various forms of analysis and differential equations.
• Without astonishment," even to himself, regard being had to the great generality of the differential equations, he reached a result so wide as to include, as a particular case, the solution of the pla
• In the paper, author has studied the inverse problem about a class of quasi-linear partial differential equations of parabolic type by monotone method, proved uniqueness and stability.
• Together with the previous two matrix differential equations these are the "'OPE " '.
• Semigroup theory can be used to study some problems in the field of partial differential equations.
• The overwhelming majority of nonlinear differential equations are not soluble analytically.
• Detailed analysis may be undertaken in a manner similar to that for the first order ordinary differential equations.
• Nieto's work may be considered to fall under the ambit of differential equations.
• The qualitative theory of ordinary differential equations and numerical simulation method were employed to investigate the kink waves of a nonlinear quartic wave equation.
• Notation for monomials is constantly required in fields like partial differential equations.
• The mathematical models of the glycolytic pathway take the form of ordinary nonlinear differential equations.
• Physical laws described by differential equations correspond to deterministic systems.
• Laplace's equation is then separated into two ordinary differential equations.
• A little bit of work it might take to learn differential equations maybe.
• Having obtained the initial conditions, we goon to solve the network differential equations.
• For example, P . polycephalum has been modeled as a set of differential equations inspired by electrical networks.
• Returning to differential equations, Hamming studied means of numerically integrating them.
• This decomposition is of great importance for everything from digital image processing ( two-dimensional ) to solving partial differential equations.
• Chapter One lists some important theorems in the qualitative theory and the stability theory of ordinary differential equations.
• The well-known Treatise on differential equations appeared in 1859, and was followed, the next year, by a Treatise on the Calculus of Finite Differences, designed to serve as a sequel to the former wo
• The kinetics of radiolabeled compounds in a compartmental system can be described in terms of a set of first-order, constant-coefficient, ordinary differential equations.
• You can actually understand it without the heavy differential equations and Calculus.
• By using complex numbers, they eliminate, in this case, differential equations altogether.
• Derived on the basis of the theory of thin shells, the governing differential equations are established from the displacement method and the mixed method of derivation.
• By using fixed point theory, in this paper we study the existence of triple positive solutions for a class of second-order differential equations with integral boundary conditions.
• These systems can be described by a set of ordinary differential equations (ODEs) or map.
• Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear differential equations.
• He appears to have attended Dirichlet's lectures on theory of numbers, theory of definite integrals, and partial differential equations, and Jacobi's on analytical mechanics and higher algebra.
• To understand them requires a background in calculus and differential equations.
• The proof of the existence of such differential equations by previously known monodromy matrices is one of the Hilbert problems.
• The differential equations are eqs.
• Rather, FPM is a strong formulation which models differential equations by direct approximation of the occurring differential operators.
• The groundwater flow is simulated with the seepage model of heterogeneity isotrope, and the partial differential equations are solved with finite difference scheme of irregular triangle net.
• These are four tensorial differential equations and their solution is the radiation field.
• This version of Parareal can also stably integrate linear hyperbolic partial differential equations.
• In 1728 Euler gave differential equations for geodesics on surfaces.
• By the parametric representation, fuzzy number means a bounded continuous curve in the two-dimensional metric space R2, so that it is easy to analyze fuzzy differential equations.
• A dog can catch a Frisbee without solving differential equations.
• Innovative Upper School courses include Evolutionary Genetics, Learning About Home, Global Challenge since 1945, and Multivariable Calculus with differential equations.
• The following techniques apply to one-dimensional autonomous differential equations.
• By page 60 we're already at differential equations so hang on to your saddle.
• The Galerkin method ( or Bubnov-Galerkin method ) with Galerkin's ( or " weak " ) differential equations problem statement form are known all over the world.
• Besides their practical use in the evaluation of integrals and the explicit solution of certain differential equations, they have deep connections with elliptic curves and modular forms.
• So finally, we will obtain the unsurpassable ultimate understanding of psychological issues by explaining them as the solutions of differential equations .-- Talk 12 : 40, 3 May 2007 ( UTC).
• Analog computers are especially well-suited to representing situations described by differential equations.
• Differential equations, refractive indexes, hyperspace, quantum mechanics etc.
• Most differential equations are not solved.
• This representation relies only on the displacement components of the mid_plane, which are governed by a set of two_dimensional differential equations similar to those in the classical plate theory.
• The nonlinear differential equations of motion for a parachutepayload system are developed, which model the parachute suspension lines and the riser as inelastic elements.
• The coupled differential equations of the dimensionless beam width parameters of two optical beams are solved.
• As a important basis of calculating the distortion and strength of the buried pipeline, the paper gives out the space curve differential equations of elastic foundation-beam (displacement equation).
• In a case like the present one, where there are two differential equations of the second order, there will be four such constants.
• Aiming at wire rope and skip in loading, movement differential equations of skip with different mass and longitudinal vibration differential equations of wire rope were proposed.
• Discretization in the space produces a system of ordinary differential equations for unsteady problems and algebraic equations for steady problems.
• The theory has applications to both ordinary and partial differential equations.
• Emphasizes solving differential equations, which can be very tedious work.
• And the evolution of the statistical average values of the set of operators with time satisfy a group of one-order linearly differential equations.
• The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
• He uses over 2200 videos to explain everything from algebra to differential equations.
• A direct domain decomposition method was presented for the parabolic partial differential equations on nonoverlapping domains.
• Homogeneous, linear partial differential equations.

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