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estimate of foot is lower than the back foot In fact you're allowedto obtain a quantitative the slope by measuringthe differencein elevationand dividing it by the distancebetween your feet With this additional information you're clearly in a better position to predict the to you heightat f (xi+)In essence, use the slopeestimate projecta straightline out t0 by this predictionmathematically r;,1You can express (410) = f (,ri+r) "f(ri) *f'(u)h of the because additionalllrst-orderterm consists This is calledafirsrorder approximation is between and x;11Thus, the expression ;r; a slope/'(r;) multipliedby /r the distance ofthe or now in the form of a straightline that is capableofpredicting an increase decrease J; functionbetween and-t;11 , Although Eq (,1l0) can predict a change,it is only exactfor a straight-line or linear, trendTo get a betterprediction,we needto add more terms to our equationSo now you the First, you measure are allowed to standon the hill surfaceand take two measurements slopebehindyou by keepingone foot plantedat x; and moving the otherone back a dist a n c e A , L L e t ' s c a l l t h i s s l o lp e i ) T h e n y o u m e a s u r e t h e s l o p e i n f r o n t o f y o u b y k e e p f ,Q ing one fbot planted at x; and moving the other one forward Ax Let's call this slope that the slopebehindis milder than the one in front, recognize fi(r) You immediately Clearly the drop in height is "accelerating"in l'rontof you Thus, the odds are that f (;rr)is even lower than your previouslinear prediction term to your equation you're now going to add a second-order As you rnightexpecf, The Taylor seriesprovidesthe correctway to do this as in and make it into a parabola l ' G i + ) = t ' ' G i ) +/ ' ( r , , , * J"lr'l.

Ratio spreads are an evolution of the bull call or bear put spread They combine long purchased options with multiple short options Ratio spreads bring an additional short option premium to purchased options to reduce the premium outlay, protect against time value decay, and insulate long options from signi cant reductions in implied volatility For an example of a ratio spread we will look again at Caterpillar, Inc (CAT) options with a few more out-of-the-money options selected on both calls and puts We are using CAT again because of the in ated implied volatility on the out-of-the-money call options

/* Wouldn't it be nice if we could give select every table in the SH schema to SR_ADMIN with the following */ GRANT SELECT ON SHELPER% TO SR_ADMIN;

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the derivativeYou canuse of To makeuseof this fbrmula,you needan estimate the second you determined estitlateit as to lasttwo slopes f" ( r i + ) 7

Now you see the gap In Oracle, direct object privileges occur at an object by object level for example, GRANT SELECT ON SHSALES TO SR_ADMIN System privileges exist for all objects everywhere (barring the data dictionary) for example, GRANT SELECT ANY TABLE TO SR_ADMIN You can see the need for a middle ground a privilege set that allows everything within a certain schema or set of schemas This last notion of a set of schemas is called a realm, and it is one of the new security layers provided by DBV Before we consider that, and since we are in the mood for improving things in the database, let s look at a few more security should-haves

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the of in of derivativeis merelya derivative a derivative; this case, rate Thus, the second change the slope of that all the values let's look carefullyat Eq (4I l) Recognize Before proceeding, Conse' That is, they are numbers valuesthat you have estimated subscripted represent r positionx;a1Consequently,it at quently, only unknowns the values the prediction the are is a quadratic equation the tbrm of -r f ( h ) = a 2 h 2I a 1 h a 1 y the Taylorseries approximates functionwith a second' Thus,we can seethatthesecond-order orderpolynomial cut' Clearly,we could keep addingmore derivativesto capturemore of the function's expansion Taylorseries vature Thus,we arive at the complete

Over the years, as you ve built security into your databases, you have probably come across a few techniques and methods that were extremely useful and effective As avid security engineers, we, too, have discovered patterns of success not only within the database but also outside of the database In this section, we ll review a few of these methods or requirements that have found their way into DBV

l - j J n ' * " f ' ' - 1 t ' l r , ' + " * f " ) t t i t r ' + R , ,{ 4 1 3 1 ; f ( r , r ): f ( r ; + / ' ( rn +

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an the Eq Note that because (413)is an infinite series equalsign replaccs approximate terrn is also includedto sign that was used in Eqs (49) through (4I l) A remaincler accountfor all terms frornn * I to infinitv: R , ,- J / t / / + ll l i \

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