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closed form

On closed form solutions of some nonlinear  partial differential equations

On closed form solutions of some nonlinear partial differential equations

... In a recent related paper, Rubel [7] found simple exact solutions of (1.1) with δ = 0 via quasisolutions of the form Φ(F(x) +G(y)). Rubel pointed out that the organized method of differential-stäcked matrices in ...

8

A closed-form universal trivariate pair-copula

A closed-form universal trivariate pair-copula

... Section 2 recalls the trivariate pair-copula construction. We explain how the com- bined use of extremal correlation matrices and bivariate elliptical copulas lead to extre- mal lifting copulas whose bivariate product ...

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Closed-form modified Hamiltonians for integrable numerical integration schemes

Closed-form modified Hamiltonians for integrable numerical integration schemes

... Modified Hamiltonians are used in the field of geometric numerical integration to show that symplectic schemes for Hamiltonian systems are accurate over long times. For nonlinear systems the series defining the modified ...

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A closed form unwrapping method for a spherical omnidirectional view sensor

A closed form unwrapping method for a spherical omnidirectional view sensor

... a closed-form solution for spherical omnidirectional image unwrapping incorporating advan- tages from the different techniques is ...utilises closed form forward and back- ward mapping ...

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Graphical Lasso and Thresholding: Equivalence and Closed-form Solutions

Graphical Lasso and Thresholding: Equivalence and Closed-form Solutions

... Figure 2a shows the number of edges in the sparsity graph of the thresholded sample covariance matrix that belong to those connected components satisfying the conditions in Theorem 19. The formula derived in this paper ...

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Closed Form Approximations for Spread Option Prices and Greeks

Closed Form Approximations for Spread Option Prices and Greeks

... Various methods have been proposed for pricing spread options, which can be broadly divided into two groups. The first group follows the numerical approach and includes Pearson (1995)’s one-dimensional numerical ...

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Closed form solution for minimizing power consumption in coordinated transmissions

Closed form solution for minimizing power consumption in coordinated transmissions

... of closed-form power allocation solutions are ...the form of the traditional water-filling but demanding cooperation among CTPs), a novel power allocation algorithm with joint minimization power ...

14

Closed form solution for p-curves in SO(4)

Closed form solution for p-curves in SO(4)

... the problem as a Lax operator and Hamiltonian vector, in section V the isomorphism to su(2)×su(2) easily subdivides the problem into 2 simpler problems. An understanding of the Lax theorem identifies a further ...

7

A Closed Form Approximation for Pricing  Temperature Based Weather  Derivatives

A Closed Form Approximation for Pricing Temperature Based Weather Derivatives

... developing closed-form approximations to the distribu- tion of the indices on which temperature-based deriva- tives are written with particular emphasis on obtaining good estimates of the variance of ...

14

A Closed Form Analytic Solution for Coupled Nonuniform Transmission Lines

A Closed Form Analytic Solution for Coupled Nonuniform Transmission Lines

... A closed form analytic solution was introduced for arbitrary Coupled Nonuniform Transmission Lines (CNTLs). First, the differential equations of CNTLs are written as a suitable matrix differential equation. ...

9

Closed-form formulas for the electromagnetic parameters of inverted microstrip line

Closed-form formulas for the electromagnetic parameters of inverted microstrip line

... Accurate Closed-form Formulas for the Electromagnetic Parameters of 50 Ω Micromachined Microstrip Directional Couplers, Eighth International Multi- Conference on Systems, Signals & Devices, Conference ...

8

Closed-form solution for peak crushing force of the S-rails

Closed-form solution for peak crushing force of the S-rails

... One of the most important structural components of engine compartment assembly in a car body is the S- rail. S-rails has significant role in absorbing energy during crash events and therefore it is designed for efficient ...

11

A closed-form formula for pricing bonds between coupon payments

A closed-form formula for pricing bonds between coupon payments

... This paper presents a simple closed-form formula for bond pricing between coupon payments that derives from first principles and is theoretically correct. Our results are more general than the current ...

16

Closed form solution of a general three term recurrence relation

Closed form solution of a general three term recurrence relation

... In this section we apply the previous results, in order to obtain the closed-form solution of Eq. () without recursive indexing. By using the exact solution via R-sum expansion Eq. (), the definition of ...

12

Exploring the application of closed form solutions in geotechnical problems

Exploring the application of closed form solutions in geotechnical problems

... the closed form solution. The closed-form solution involves an under- standing of the definitions of the system parameters and the product/s of their interactions, and the combination of this ...

91

II. DERIVATION OF THE CLOSED FORM SOLUTION FOR THE RLS ESTIMATION

II. DERIVATION OF THE CLOSED FORM SOLUTION FOR THE RLS ESTIMATION

... which are in the physiologically expected range. However, in their study, iterative procedures such as steepest descent algorithm were used to find minimum of the RLS cost function and a closed form ...

6

Closed form inverse of local multi-trace operators

Closed form inverse of local multi-trace operators

... a closed form for the ...such closed form inverses are also possible for more general situations, where the coefficients are only constant in each subdomain, and in the presence of more ...The ...

8

Asian options with jumps: A closed form formula

Asian options with jumps: A closed form formula

... To the best of our knowledge, the resulting prices are the sole closed-form formulae for op- tions written on arithmetic averages (up to inverse transformation). This comes as opposed to the large number of ...

11

Closed form solution of an exponential kernel integral equation

Closed form solution of an exponential kernel integral equation

... Integral equations with this structure were encountered in the context of a stochastic differential equation model of solute transport in a porous medium (Kulasiri & Verwoerd, 2002), where use of the solution in ...

5

Closed form bound state perturbation theory

Closed form bound state perturbation theory

... CLOSED FORM BOUND-STATE PERTURBATION THEORY.. ROSE SDC Integrated Services, Inc.[r] ...

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