Examples of 'approximate solutions' in a sentence
Meaning of "approximate solutions"
Approximate solutions are solutions that are close to, but not exact, answers to a problem or equation. They are typically used when finding an exact solution is difficult or time-consuming. Approximate solutions provide a reasonable estimation or approximation that is often sufficient for practical purposes. Techniques such as numerical methods or approximation algorithms are commonly used to obtain approximate solutions
How to use "approximate solutions" in a sentence
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approximate solutions
Approximate solutions can be achieved in many cases.
Methods must be employed to obtain approximate solutions.
Approximate solutions of systems of differential equations.
Iterative methods generate a series of approximate solutions.
The methods of approximate solutions of equations.
Approximate solutions were found by greedy heuristics.
You can have exact or approximate solutions.
Learn to approximate solutions to equations involving irrational numbers.
Numerical procedures must thus be used to obtain approximate solutions.
Only approximate solutions are obtained.
The project has introduced a methodology to define exact and approximate solutions.
On certain approximate solutions of linear differential equations of the second order.
The finite element method enables us to find approximate solutions of partial differential equations.
Approximate solutions of these equations are presented for various strengths of the coupling.
It is a search method to find approximate solutions to optimization and search issues.
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The approximate solutions do not require any stringent conditions on integrand or domain of integration.
Lagrangian relaxation can also provide approximate solutions to difficult constrained problems.
The approximate solutions of the governing nonlinearequations are obtained using the perturbation technique.
Extensions have been proposed that can find approximate solutions for multilabel graph cuts problems.
To that purpose we apply the Galerkin method and derive a prioriestimates for the approximate solutions.
Methods designed to find approximate solutions to such jobs are known as numerical algorithms.
Therefore, numerical methods obtain approximate solutions.
At present it seems that only approximate solutions modeling slowly rotating fluid balls are known.
Fortunately, there exist known heuristics providing approximate solutions.
Perturbation theory allows to find approximate solutions that slightly deviate from a known exact solution.
If exact inference is impossible, several algorithms can be used to obtain approximate solutions.
Thus methods that provide good approximate solutions with reasonable computational requirements are useful.
Sub-linear time algorithms are typically randomized, and provide only approximate solutions.
These are the approximate solutions away from the potential hill and beneath the potential hill.
The second method consistsin passing to the limit on approximate solutions obtained with a numerical scheme.
These are approximate solutions of the Boussinesq equation.
The calculations of quantum chemistry involve approximate solutions of the Schrödinger equation.
However, approximate solutions can be applied as an alternative.
This is a hard computational problem, for which several approximate solutions have been devised.
Exact and approximate solutions of the Navier-Stokes equations.
For general matrices, algorithms are iterative, producing better approximate solutions with each iteration.
Rbms have shown that they can approximate solutions trained with a traditional matrix factorization model.
As with many undecidable questions, one can still attempt to give useful approximate solutions.
Furthermore, approximate solutions are derived by applying the modified residue calculus technique.
Boundary-layer theory is amenable to the method of matched asymptotic expansions for deriving approximate solutions.
The exact and approximate solutions are based on the lévy and galerkin methods, respectively.
Approximate solutions for z and w can then be found as, EPMATHMARKEREP.
Here below, we present approximate solutions for optimizing the overall capacity of the transmission system.
Approximate solutions also exist, which go beyond the small-load approximation.
Analytic and approximate solutions of some two-body bound states are presented.
Approximate solutions with Newton's method!
There are several approximate solutions to this equation, including the density functional theory dft.
Moreover, these approximate solutions can even be computed in near-linear time.
EXAMPLE 5, Approximate solutions for centre cracked panels repaired using SPD.
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These costs are approximate and subject to change
Approximate proportions are indicated for each term
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There are no simple solutions to this oversight lacuna
Solutions do not seem too difficult to find
There were no ready solutions to either of those problems
