# linear approximation in a sentence

1) The coefficients of the

**linear**

**approximation**are determined as follows.

approximation collocations

2) However,

**linear**function

**approximation**is not the only choice.

3) If __FORMULA__ this is the same as the

**linear**

**approximation**.

## linear **approximation** example sentences

4) Are these **linear**

**approximations**appropriate for all investigations in biology?

5) Duration is a

**linear**

**approximation**to the present-value profile.

6) POLE learns complex (nonlinear) functions by piecewise

**linear**

**approximation**.

7) Clearly, exponential

**approximation**produced the best fit, followed closely by

**linear**

**approximation**.

8) For small changes in yield, the

**linear**

**approximation**will be reasonably good.

9) The following theorem states that a Karhunen-Loeve basis is optimal for

**linear**

**approximations**.

10) Instead of working with full polynomials, we can use a

**linear**

**approximation**.

11) Because the

**linear**

**approximation**is only an approximation, __FORMULA__ is different for different reference temperatures.

12) Examples are methods such as Newton's method, fixed point iteration, and

**linear**

**approximation**.

13) The

**linear**

**approximation**is important for maintaining a mathematically tractable analysis of systems perturbed by noisy inputs.

14) The modified duration is a measure of the price sensitivity to yields and provides a

**linear**

**approximation**.

15) NLERP is generally faster than SLERP, but is a

**linear**

**approximation**of a second order calculation.

### example sentences with **linear** **approximation**

16) **Linear**

**approximation**, on the other hand, seemed to excellently fit the model of intermittent learning.

17) But for large jumps in yield, the

**linear**

**approximation**will become very poor if convexity is high.

18) The tangent plane is the best

**linear**

**approximation**, or linearization, of a surface at a point.

19) The derivative gives the best possible

**linear**

**approximation**, but this can be very different from the original function.

20) If one were to make the

**linear**

**approximation**of , none of the effects under consideration would be obtained.

21) Thus the __FORMULA__ dimensional principal components provide the best

**linear**

**approximation**of rank __FORMULA__ to the observed data matrix __FORMULA__.

22) In the

**linear**

**approximation**that leads to the above acoustic equation, the time average of this flux is zero.

23) Another way of proving the chain rule is to measure the error in the

**linear**

**approximation**determined by the derivative.

24) This equation represents the best

**linear**

**approximation**of the function __FORMULA__ at all points __FORMULA__ within a neighborhood of __FORMULA__.

25) It can be shown that - to a

**linear**

**approximation**- it is always possible to make the field traceless.

26) For these materials a proportional limit stress is defined, below which the errors associated with the

**linear**

**approximation**are negligible.

27) In "

**linear**function

**approximation**" one starts with a mapping __FORMULA__ that assigns a finite-dimensional vector to each state-action pair.

28) The derivative of a function at a chosen input value describes the best

**linear**

**approximation**of the function near that input value.

#### How to use **linear** **approximation** in a sentence

29) Therefore the **linear**

**approximation**to natural tetration is the only solution of the equation __FORMULA__ and __FORMULA__ which is convex on __FORMULA__.

30) Singular Value Decomposition is a way of factoring matrices into a series of

**linear**

**approximations**that expose the underlying structure of the matrix.

31) Using the formula for

**linear**interpolation, our

**linear**

**approximation**for rm is rm= 12.58 per cent, the same as the exact solution.

32) The viscous stress tensor is only a

**linear**

**approximation**of the stresses around a point __FORMULA__, and does not account for higher-order terms of its Taylor series.

33) This notion of differential is broadly applicable when a

**linear**

**approximation**to a function is sought, in which the value of the increment Δ"x" is small enough.

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