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FIGURE 7.9 The toolbar contains all the drawing tools, including the trendline, which is the third from the left.

and the coherent transmitted Stokes vector,

~ (Kiz ) ,

(7.4.6)

MP/J7(1)(r)

(3.1.11)

kiy - ky) L; )

. LxL y . ( . Lx). ( Ly) L,,2~oo 41r2 smc (k ix - kX )2 SlUC (k iy - kY )2

= 8(k ix - kx )8(kiy - ky)

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The past practice of excessively notching oor or roof joists into carrying members must be reviewed by the structural engineer using the end-notched beam formulae presented in various timber design manuals and textbooks.8

(3.1.13)

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drop the toolbar to any other side or even have it oat separate from the chart area The tools are, from left to right: pointer, expansion, trendline, channels, horizontal line, text, oval highlight, rectangle highlight, Fibonacci retracements, Fibonacci time series, Fibonacci arcs, and Fibonacci fans The trendline tool, the third from the left, is the one you want to click Once you have selected the trendline tool, all you need to do to draw a trendline is (1) click on the point where you want the line to begin, (2) drag the mouse, during which time the line will be displayed, no matter where you move the mouse, and (3) click a second time, which completes the creation of the line Any trendline you draw has a number of properties, any one of which can be changed: color, style, and extension.

We also note that for statistical averaging to be applicable, the thickness of the slab must be much larger than the correlation length 1 of particle positions. Particle positions can be correlated within the correlation distance or length denoted by l. To have "sufficient amount of randomness" in the thin layer, we have the first condition.

(3.1.14)

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(e 2ik ;zD -

(3.1.15) For D A, the coherent transmitted wave is much larger than the coherent reflected wave. As is clear from (3.1.15), for r in region 2, the solution diverges if D -. 00. In order for the first-order solution of coherent field to be valid, the first-order transmitted wave in (3.1.15) must be much smaller than the original incident wave. Thus we have a second condition.

1 (3.1.16) kiz which as shown later in equivalent to D lmlp where lmlp is the mean free path. Note that condition (i) gives a lower bound for D, while condition (ii) gives an upper bound on D. Condition (ii) actually gives a condition for the convergence of the Born series or the Neumann expansion as given by the iterative solution of the Foldy-Lax equation. From (3.1.1) and (3.1.15) we obtain

(ii)

(3.1.17) for z > 0 We can express (3.1.17) as an input and output relation with the incident wave as the input and the transmitted wave as the output:

A joist might be perfectly adequate in bending and de ection and be critical in horizontal shear at a notched support. This condition may be easily remedied by installing custom-sized nailed joist hangers to transfer vertical forces from the joist to the supporting member.

('ljP)(r)) =

You will learn how to alter the color and style later in this chapter, but let us take a moment to understand the concept of trendline extension You may recall from geometry the distinction between a line segment and a ray A line segment is a nite line that has two endpoints A ray has one endpoint and continues into in nity And a line, just to complete the review, goes in nitely in both directions In the case of trendlines, you will apply either a line segment or a ray Using a ray is more common, since you are watching prices on an ongoing basis, and the trend will extend off the right edge of the chart.

(01) output ~)

(,I) input eik.D = i j 27fn o D() input e ik .. D .~) ,. k. 'lj)

(3.1.18)

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