# approximate solution in a sentence

1) Therefore, numerical methods obtain

**approximate**

**solutions**.

approximate collocations

2) There exist several techniques for generating

**approximate**

**solutions**, however.

3) Lagrangian relaxation can also provide

**approximate**

**solutions**to difficult constrained problems.

## approximate **solution** example sentences

4) Sub-linear time algorithms are typically randomized, and provide only **approximate**

**solutions**.

5) The input vector x0 can be an

**approximate**initial

**solution**or 0.

6)

**Approximate**

**solutions**also exist, which go beyond the small-load approximation.

7) At present it seems that only

**approximate**

**solutions**modeling slowly rotating fluid balls are known.

8) NSAPPWAVE provides a quick,

**approximate**wavelength

**solution**for NIFS spectroscopic data.

9) However algorithms can be devised to provide

**approximate**

**solution**within a margin of error.

10) For general matrices, algorithms are iterative, producing better

**approximate**

**solutions**with each iteration.

11) These

**approximate**

**solutions**should stipulate error bounds, particularly in sparsely leveled areas. 8.

12) It finds these

**approximate**

**solutions**by linear interpolation from the first few genuine observations.

13) Perturbation techniques can be also used to find

**approximate**

**solutions**to non-linear differential equations.

14) Is an

**approximate**

**solution**usable?

15) Boundary-layer theory is amenable to the method of matched asymptotic expansions for deriving

**approximate**

**solutions**.

### example sentences with **approximate** **solution**

16) **Approximate**

**solutions**can be generated using sets of metal disks whose radii differ by small increments.

17) On the other hand, heuristics are used to find

**approximate**

**solutions**for many complicated optimization problems.

18) Instead, much of numerical analysis is concerned with obtaining

**approximate**

**solutions**while maintaining reasonable bounds on errors.

19) By selecting three discs that

**approximate**the situation in question, an

**approximate**

**solution**can be generated.

20) A useful observable for obtaining

**approximate**baseline

**solutions**or for detecting cycle slips in the Double-Differenced observables.

21) For example, molecules can be modeled by molecular orbital models that are

**approximate**

**solutions**to the SchrÃ¶dinger equation.

22) Numeric simulation programs provide such

**solutions**and can be used to gain the understanding needed to obtain

**approximate**analytical

**solutions**.

23) Whenever a Fourier integral cannot be evaluated by analytical means, an

**approximate**

**solution**is usually possible by numerical analysis.

24) In both cases it is apparent from the denominator that both these

**approximate**

**solutions**are bad near the classical turning points __FORMULA__.

25) This result completes the first iteration, the result being an "improved"

**approximate**

**solution**to the system, x1.

26) The optimization problem itself is known to be NP-hard, and thus the common approach is to search only for

**approximate**

**solutions**.

27) Who shall forbid a wise skepticism, seeing that there is no practical question on which any thing more than an

**approximate**

**solution**can be had?

28) After fast initial seeding the clusters are refined and rearranged using an

**approximate**

**solution**of the MCES (Maximum Common Edge Substructure) algorithm.

#### How to use **approximate** **solution** in a sentence

29) Once the **approximate**

**solution**has been found then it is no longer a problem situation but a design situation: how can the

**solution**be designed in a better way?

30) The

**approximate**

**solution**of this equation, when the small term on the right-hand side is neglected, is where b and &agr; are constants of integration.

31) A

**solution**of eqn (8.7N) is clearly a very good

**approximate**

**solution**of eqn (8.7) because Mercury's orbit is nearly Newtonian.

32) Paul Gerber (1898) published a formula for the perihelion advance of Mercury, which was formally identical to an

**approximate**

**solution**given by Einstein.

33) An

**approximate**

**solution**to the problem is to decompose it into __FORMULA__ pairs of star-planet Kepler problems, treating interactions among the planets as perturbations.

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