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An algorithm for linear regressioncan be easily developed(Fig. 13.13).The required summationsare readily computedwith MATLAB's sum function. Theseare then used to compute slopeandthe intercept the with Eqs.(13.15)and(13.16). The routinedisplays the interceptand slope,the coefficient of determination, and a plot of the best-fit line along with the measurements. A simple exampleof the use of this M-file would be to fit the force-velocitydatathat was analyzed Example13.2: in >> x = 110 20 30 40 50 60 70 B0l; > > y = 1 2 5 1 A 3 8 0 5 5 0 6 1 0 1 2 2 0 8 3 0 1 4 5 0 1t

i(i1:5r'ls'sin2zr < f t ' t r Ot < T l 2 Evaluate 1o-5 using (a) Rornbergintegrationto a tolerthe i(t) :0 for Tl2 < t < T ance 0. I 7o.(b) the two- and three-pointGauss-Legendre of 1= I s. formulas. (c) the MATLAB quac function. and "vhere 18,7The velocity profile of a fluid in ir circular pipe can be 18.12 Computethe power absorbed an element a cirby in cuit as described Sec. 18.5,but for a simple sinusoidal represented in as currenti : sin(2trt/T')where I = I s. (a) Assumethat Ohm's law holdsand R : -5e. , = r o ( r- ; ) " " (b) AssLrrne Ohm's law doesnot hold and that voltage that and currentare related the following nonlinear.relaby where : velocity, r : radial distancemeasured u out front tionship:I/: (5i - I.25i3). theprpes centerline,r0 : the pipe's radius,and n : a paraItt.l3 Supposethat the currenrthrough a resistoris demeter. Determinethe f'low in the pipe if r() = Q.75 andn = J scribedby the function (a) usin-e Romber_e integlarionto a tolerance 0. I %. (b) the of Ilo-poinl GaLrss-Legendre fbunula, ancl (c) the MATLAB i ( r ) = ( 6 0- / ) 2+ ( 6 0- r i . i n ( " 4 ) qu:r,i tunction.Note that flow is eqLral velocity times area. to is l8,ll The alrount of nrasstransported a pipe over a pe- and the resistance a function of the current: via riodof tirne can be cornputedas R : l O i+ 2 i 2 / 3

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Specify a local bridgehead server by selecting These servers can send mail over this connector, clicking Add, and selecting the default SMTP virtual server on Box14 (more on virtual servers in 23). Switch to the Remote Bridgehead tab, click Add, and select the default virtual server on Box16 in the SeattleRG as the remote bridgehead server.

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The long put butter y creates the same window of opportunity as the long call butter y, only on the short side of the market. To create the long put butter y, you are purchasing a put option close to the current market, selling a 2:1 ratio of out-of -the-money put options and buying a further out-of-the-money put option at an even distance from the short put options. With the put butter y, your short option strike price should be selected to provide a credit to apply to the cover put position. Let s go back to the IBM option chain and create the long put butter y. This model (shown in Figure 8.1) is created on a one-lot basis and demonstrates the risk versus reward. Remember, it doesn t matter if the purchase is 1, 100, or 1,000 options; the model remains the same with pro t and loss adjusted for quantity. If we purchase one July IBM 100 put option for 7.77 while selling two of the July 90 put options for 4.25 and then purchase one July IBM 80 put option for 2.20, we have a combined spread premium of 1.47. Calculating breakeven for the spread, you take the combined premium and subtract it from the at-the-money put option. This gives you an initial breakeven of 98.53 on the underlying IBM stock: 100 put strike price 1.47 combined premium 98.53

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sult from a centrally placed callosal-frontal tumor or from general swelling of the brain and is accompanied by downward displacement of the brainstem It may also be accompanied by bilateral temporal lobe tentorial herniations The clinical manifestations of downward cerebellar herniation are less well delineated than those of the temporal lobe tentorial herniation Cushing considered the typical signs of cerebellar herniation to be episodic tonic extension and arching of the neck and back and extension and internal rotation of the limbs, with respiratory disturbances, cardiac irregularity (bradycardia or tachycardia), and loss of consciousness Other signs with subacutely evolving masses in the posterior fossa include pain in the neck, stiff neck, head tilt, and paresthesias in the shoulders, dysphagia, and loss of tendon re exes in the arms.

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