Where results make sense

About us   |   Why use us?   |   Reviews   |   PR   |   Contact us

Topic: Closed-form solution

    Note: these results are not from the primary (high quality) database.

Ads by Google

In the News (Tue 15 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

Closed Form Solution for the Wave Equation This paper documents both the development of a closed form solution for the one-dimensional wave equation as it is applied to piles and its comparison to numerical solutions of the same problem. Closed form solutions were either abandoned entirely or applied on a limited basis or in an ancillary way to other techniques. The comparison shows variations between the closed form solution and the numerical methods that, although are not egregious, are also not consistent from case to case. www.wingnet.net /~jfwnctm/wave/isa.htm   (1887 words)

Exact weighted time fields: two-field form Substituting the fundamental solution equation (3.97), into equation (1.22), we have the closed form solution of the equation (3.91) as In its present form, the time discretized operator, namely equation (3.103) pertains to Type 1 classification and is still the exact representation of the dynamic equations (3.91-3.92) or is termed as an exact integral operator [EIO]. Emanating from the two-field form and using the Greens' formula for the equation (1.3) in a consistent manner yields www-users.cs.umn.edu /~xiangmin/arc/node41.html   (329 words)

Macroapproach Closed-Form Series Solution for Orthotropic Plates The major advantage of this technique is the development of a solution algorithm in the form of summation equations, leading to fast converging closed-form series solutions. The objective of this study is to present the derivations in closed-form series for moments and deflections of thin orthotropic plates with general edge beams (boundaries) under arbitrary out-of-plane loading. The displacement solutions for the major components of the system (plate and beam) or macroelements are obtained by first solving for the unknown interactive forces and moments at the beam or nodal line locations after satisfying displacement compatibility along nodal lines. www.pubs.asce.org /WWWdisplay.cgi?9500585   (211 words)

Maybe this Explains the Economic Cycle... best Closed-Form Solution A Closed Form Solution to Blind Equalization A Closed Form Solution to Blind Equalization In some recent papers new algorithms for blind adaptive equalization were proposed. Image charges revisited: a closed form solution Image charges revisited: a closed form solution We demonstrate that the corrections to the classical Kelvin image theory due to finite electron screening length $\lambda$, recently discussed by... Closed-Form Solution -- from MathWorld Closed-Form Solution -- from MathWorld An equation is said to be a closed-form solution if it solves a given problem in terms of functions and mathematical operations from a given generally accepted set. ascot.pl /th/Fourier3/Closed-Form-Solution.htm   (525 words)

Princeton Computer Science :: Technical Reports We give a closed form solution for the case of general (planar, convex, or concave, possibly containing holes) polygons. However, the important case of the form factor between two polygons in three space has had no known closed form solution. Form factors are used in computer graphics and radiative heat transfer to describe the fraction of diffusely refledted light or radiation leaving one surface and arriving at another. www.cs.princeton.edu /research/techreps/TR-404-93   (96 words)

Closed-Form Maximum Likelihood Estimates of Nearest Neighbor Spatial Dependence In turn, this leads to a closed form solution for the maximum likelihood estimates of the spatially autoregressive and mixed regressive spatially autoregressive models. This simple form for the log-determinant leads to a closed-form solution for the spatially autoregressive and mixed regressive spatially autoregressive maximum likelihood estimators. In fact, we obtain a closed form not just for the log-determinant of the nearest neighbor adjacency matrix but also the log-determinant of any linear combination of the odd powers of this matrix. www.spatial-statistics.com /pace_manuscripts/closest_neighbors/html/nearest_neighbor.html   (5728 words)

Question Corner -- Finding the Ratio from the Sum of a Geometric Series From a purely intuitive view there ought to be a closed form generalized solution for R. But I have been unable to see my way to anything but an iterative numerical solution. However, just because there isn't a "closed-form" solution doesn't mean R is not expressible as a function of N and q! This equation does not have a general closed-form solution for R in terms of familiar functions (like addition, multiplication, taking powers, and extracting roots) of N and q, unless N < 5. www.math.toronto.edu /mathnet/plain/questionCorner/sumtoratio.html   (1004 words)

A Closed Form Solution to the Reconstruction and (ResearchIndex) A Closed Form Solution to the Reconstruction and (2003) A Closed Form Solution to the Reconstruction and (ResearchIndex) The well known thereotical foundation for multi-view geometry is extended in light of this to solve the problems of triangulation and forming multi-view matching constraints for degree d apparent contours. citeseer.ist.psu.edu /668471.html   (335 words)

m0000004.htm Thus, the maximum likelihood estimates have a closed-form solution in terms of the eigenvalues of a small matrix. 2.3 Closed form solution of the estimated parameters Specifically, the roots equal the eigenvalues of the companion matrix associated with the polynomial (Horn and Johnson (1993, p. www.spatial-statistics.com /spatial_statistical_manuscripts/MESS/html/m0000004.htm   (278 words)

Computer Vision and Robotics Laboratory, Beckman Institute, UIUC The authors present a closed-form solution to motion and structure parameters from line correspondences through three monocular perspective views. The uniqueness of the solution is established, and necessary and sufficient conditions for degenerate spatial line configurations are given. Simulations have shown that the errors of the optimized estimates are close to the theoretical lower error bound. vision.ai.uiuc.edu /abstracts/pub1_2_1_a0392wha.htm   (129 words)

Re: Planet X: Messenger's CHOICE Without a closed-form mathematical > solution, the answer does not simply pop out of the equations, as it > does for example with the two-body problem or certain classes of > three-body problem. The solar system is a complex multibody system without > closed-form mathematical solution. A natural question to ask about > any complex dynamical system is how it will evolve in the long term, > and whether or not it is stable. www.zetatalk.com /usenet/use90520.htm   (695 words)

NSDL Metadata Record -- A Closed Form Solution for Inverse Kinematics of Robot Manipulator with Redundancy NSDL Metadata Record -- A Closed Form Solution for Inverse Kinematics of Robot Manipulator with Redundancy A closed form equation for inverse kinematics of manipulator with redundancy is derived, using the Lagrangian multiplier method. The proposed equation is proved to provide the exact equilibrium state for the resolved motion method. nsdl.org /mr/709499   (117 words)

Citations: A new closed-form solution for absolute orientation - Wang, Jepson (ResearchIndex) Although closed form solutions are also presented for ideal motion problems by Aloimonos s group [1, 8] Huang s group [5, 15] and others [13, 16].... 3 General Correspondence Recovey A shortcoming of the closed form solution is that it is limited to ideal motion.... They proposed a novel closed form algorithm solving for the translation and rotation, which is claimed to be very robust in the presence of noise. citeseer.ist.psu.edu /context/125070/0   (977 words)

Closed form solution to a alternating binomial sum Closed form solution to a alternating binomial sum Closed form solution to a alternating binomial sum, Thomas Paine Hey Everyone, I've been trying to figure out the closed form solution to this sum, but have failed so far. www.usenet.com /newsgroups/sci.math/msg15352.html   (91 words)

Analogue Design For Teletubbys Is the closed form solution for I2 in terms of the Lambert W Function. This paper shows that the solution can be expressed in closed form using relatively well known mathematical functions. This paper derives a closed form solution for the Widlar current mirror. www.anasoft.co.uk /EE/widlarlambert/widlarlambert.html   (278 words)

Re: Closed-Form pricing formula Other times it has no closed form solution and must be evaluated with Monte Carlo simulation or some other means. A function has a closed form if it can be written exactly with a finite number of standard functions (powers, exponentials, sins, etc). Sometimes it has a closed form, as with the Black-Scholes formula for an equity option paying no dividends. www.contingencyanalysis.com /archive/archive99-4/00000269.htm   (160 words)

COMPUTER SCIENCE TECHNICAL REPORT ABSTRACTS Our solution is general in that it applies to any distribution whose first three moments can be matched by a PH distribution. Lastly, we discuss numerical stability of our solution. Since efficiency of the algorithm is of primary importance, we first define a particular subset of the PH distributions, which we refer to as EC distributions. reports-archive.adm.cs.cmu.edu /anon/2003/abstracts/03-114.html   (190 words)

Closed-Form Solution for the Timoshenko Beam Theory Using a Computer-Based Mathematical Package -- from Mathematica Information Center Closed-Form Solution for the Timoshenko Beam Theory Using a Computer-Based Mathematical Package The purpose of this study is to determine the influence of distributed rotary inertia and shear deformation on the motion of a mass-loaded clamped-free Timoshenko beam by means of an exact solution. The governing differential equations are solved, and the frequency results are presented graphically and are compared with those derived for a Euler-Bernoulli beam. library.wolfram.com /infocenter/Articles/1862   (179 words)

A closed form solution for the rapid shear of homogeneous turbulence in a rotating frame with and without stratification A closed-form solution for the evolution of one-point statistics is derived for the case of initially two-dimensional three-component (2D-3C) homogeneous turbulence deformed by rapid shear in a rotating frame. Based on this agreement, we show that the closed-from solution provides insight into the stabilizing and destabilizing effects of frame rotation on homogeneous stratified shear flow, and provides a useful reference point for the one-point modeling of rotated and stratified shear flows. Except for small total shear, the analytical result is shown to be in good agreement with the numerical solution of the governing equations, linearized for rapid distortions, and solved for the more general initial case of 3D-3C isotropic homogeneous turbulence. flux.aps.org /meetings/YR00/DFD00/abs/S1720008.html   (178 words)

Document Abstract A closed form solution is an expression which gives the value of the quantities in question as a function of design parameters and time. In contrast to other approaches we consider a hybrid automata as a generalization of differential equations and develop the notion of a symbolic ``closed form" solution of a hybrid automata. These solutions allow us to perform the verification of design properties. www.cas.mcmaster.ca /serg/abstracts/crl371.html   (154 words)

Closed-Form Mueller Scattering Matrix for a Random Ensemble of Long, Thin Cylinders -- from Mathematica Information Center We present a closed-form solution to the problem of elastic light scattering by a randomly oriented ensemble of cylinders of finite length. All the Mueller scattering matrix elements are calculated, so the solution is complete in the sense that all possible polarization effects are treated. The cylinders are assumed to be made of an isotropic material, which may be transparent or absorbing. library.wolfram.com /infocenter/Articles/2781   (100 words)

Numerical Solution, Closed-Form Solution Closed form solutions and numerical solutions are similar in that they both can be evaluated with a finite number of standard operations. A closed-form solution (or closed form expression) is any formula that can be evaluated in a finite number of standard operations. In this case, we were fortunate that [2] had a particularly simple form, which allowed us to find a closed-form solution for it. www.riskglossary.com /articles/closed_form_solution.htm   (698 words)

Isotropic Capacitance Since most real-world problems don't have any exact, closed-form mathematical solution, (at least that we've yet been able to find) we are forced to either work with approximations or go with computer-based numerical solutions. But looking for a closed-form solution, we often end up having to assume away reality in order to make the problem simple enough to be solvable. In reality, there are even very simple problems that can be mathematically proven to have no closed-form solution; the classic three body gravitation problem is probably the best known. www.pupman.com /listarchives/1996/may/msg00110.html   (1126 words)

ode Date: Mon, 25 Mar 96 01:29:30 GMT Hi there, I was wondering whether anybody knows of a closed form solution to the following first order ODE: dy/dx = a/y + b y/x + c/(x)^0.5 a,b and c are multiplicative constants, nothing to worry about. I'd appreciate any comments about possible ways to obtain a closed form solution. The final form of the solution is a matter of taste, but I don't think that in general you can write it with any nicer reference to y. www.math.niu.edu /~rusin/known-math/96/ode   (245 words)

Closed form solution for Lewis Form Factor Is there a closed form solution for the Lewis Form Factor? www.powertransmission.com /gtforums/design/posts/133.html   (11 words)

A Closed-Form Dynamic Elasticity Solution to the Fluid/Structure Interaction Problem of a Two-Layer Infinite Viscoelastic Cylinder with Inner and Outer Fluid Loading Subject to Forced Harmonic Excitation - Storming Media Abstract: This report documents an exact closed-form solution to the problem of a two-layer viscoelastic solid infinite cylinder that is immersed in an infinite ideal inviscid fluid and contains an infinite ideal inviscid fluid within its diameter. Simulations of the transfer surfaces for the interior pressure field are performed for radial excitation P0 and longitudinal excitation Px applied to a single-layer cylinder for n = 0, 1, and 2. The viscoelasticity is modeled with structural damping, which is incorporated by the use of a complex modulus of elasticity. www.stormingmedia.us /84/8460/A846013.html   (339 words)

Head-Eye Coordination: A Closed-Form Solution - Xie (ResearchIndex) The advantages of our solution are: (a) a closed-form solution is obtained and (b) "one-step" or "two-step" control algorithm can be implemented in a straightforward way. Xie, "Head-Eye Coordination: A Closed Form Solution", 2nd World Automation Congress, Montpellier/France, May 27-30, 1996. Abstract: In this paper, we presentanovel solution for implementing Head-Eye coordination whichisanintelligenthuman behavior. citeseer.lcs.mit.edu /xie96headeye.html   (388 words)

CEF 1997: The Random-Time Binomial Model In their setup Black and Scholes[73] derived a closed-form solution for the price of the European style call option. The Binomial Model is also an easy way to construct price approximations, where no closed form solution is available. However from the works of Leisen[96], Leisen and Reimer[96] we know that the convergence behavior of prices is very poor: order of convergence is equal to one. bucky.stanford.edu /cef97/abstracts/leisen.html   (281 words)

ADCATS 2000 Presentations: A Closed Form Solution for Nonlinear Tolerance Analysis The Direct 2nd Order Method is a new technique that eliminates the requirement for iterative solutions by providing the second order sensitivities in closed form. Combining various terms of the acceleration analysis will yield the second order sensitivities in closed form, without iteration. By extending the analogy between variation and kinematics, the second order sensitivities can be obtained by performing a kinematic acceleration analysis of a vector loop assembly model. adcats.et.byu.edu /WWW/conference/2000/Presentations/carlson/index.htm   (301 words)

Try your search on: Qwika (all wikis)

About us   |   Why use us?   |   Reviews   |   Press   |   Contact us   Copyright © 2005-2007 www.factbites.com Usage implies agreement with terms.