... the roots ofSQL.Part II. SQL Code TuningThe format in Part II is to first describe problems and then offer solutionsand tools to help find those solutions. Chapters 5 to 7 present SQL anddescribe ... Physical and Configuration TuningAs in Part II, the format in Part III is to first describe problems and thenoffer solutions and tools to help find those solutions. Part III describes howto build cleanly ... to determine which personnelskill sets are responsible for SQL code tuning. This is one of the causes ofpoorly performing SQL code. Performance is served most effectively whendevelopers and...
... code• Handle exceptions and eventsJava® 5th Edition Making Everything Easier!™Visit the companion website at www.dummies.com/go/javafordummies5e for lots of code samples that you can use ... PMwww.it-ebooks.infoby Barry BurdJava® FOR DUMmIES‰ 5TH EDITION 01_9780470371732-ffirs.indd iii01_9780470371732-ffirs.indd iii 7/6/11 6:57 PM7/6/11 6:57 PMwww.it-ebooks.infoDedication for Jennie, Sam, and Harriet,Jennie ... reports that the demand for Java program-mers tops the demand for C++ programmers by 50 percent. And there’s more! The demand for Java programmers beats the com-bined demand for C++ and C# programmers...
... Rights for Engineers 2nd Edition Vivien IrishThe Institution of Engineering and TechnologyIPRE: “chap02” — 2005/6/24 — 14:47 — page 32 — #2632 Intellectual property rights for engineers lawsuits. ... LorrimanIntellectual Property Rights for Engineers 2nd Edition IPRE: “chap02” — 2005/6/24 — 14:47 — page 18 — #1218 Intellectual property rights for engineers copyright to carry out the test ... Intellectual property rights for engineers Because the laws that give different types of protection are different in structure,it has not been possible to follow a set format for each chapter although...
... .155Understanding Forms 155Using forms creatively 156Designing a form for your application 156Considering the form layout 157Using the Basic Controls 158Adding controls to the form 159Understanding ... the Forms You Create 173Modifying the form and control properties 173Making your form pretty 174Creating a connection between forms and modules 175Validating user input 175Handling form ... module, class module,and form boundaries. (Modules, class modules, and forms are special containers for holding program code. You can save them as individual files for accesslater, but Office...
... for various viscoelastic models. . . . . . . . 362This page intentionally left blank b or biBody force (force per unit mass)p or piBody force (force per unit volume)f or fiSurface force ... Indicial form for a variety of tensor quantities. . . . . . . . . . . . . . . . . . 162.2 Forms for inner and outer products. . . . . . . . . . . . . . . . . . . . . . . . 172.3 Transformation ... Annamalai and Ishwar K. PuriCONTINUUM MECHANICS FOR ENGINEERS, Third Edition Thomas Mase, Ronald E. Smelser, and George E. MaseEXACT SOLUTIONS FOR BUCKLING OF STRUCTURAL MEMBERSC.M. Wang, C.Y....
... FUNCTIONSarctan x +arctany =arctanx + y1 – xy for xy < 1,arctan x –arctany =arctanx – y1 + xy for xy >–1.2.3.2-5. Differentiation formulas.ddxarcsin x =1√1 – x2,ddxarccos ... functions.arcsin x +arcsiny =arcsinx1 – y2+ y√1 – x2 for x2+ y2≤ 1,arccos xarccos y = arccosxy(1 – x2)(1 – y2) for x y ≥ 0, ... =π2–1x+13x3–15x5+ ···+(–1)n1(2n – 1)x2n–1+ ··· (|x| > 1).The expansions for arccos x and arccot x can be obtained from the relations arccos x =π2–arcsinx and arccot...
... equationtanγ2–ε4=tanp–a2tanp–b2tanp2tanp–c2TABLE 3.6. Solution of spherical trianglesNo.Three partsspecifiedFormulas for the remaining parts1 Three sidesa, b, cThe angles α, β,andγ are determined by the half-angle formulas and ... has a solutionfor sin b sin α ≤ sina.Remark 2. Different cases are possible:1. If sin a ≥ sin b, then the solution is determined uniquely.2. If sin b sin α <sina, then there are two solutions ... has a solutionfor sin a sin β ≤ sin α.Remark 2. Different cases are possible:1. If sin α ≥ sin β, then the solution is determined uniquely.2. If sin β sin α <sina, then there are two solutions...
... polynomial.LetK1be an upper bound for the positive roots of the polynomial Pn(x),K2be an upper bound for the positive roots of the polynomial Pn(–x),K3> 0 be an upper bound for the positive roots ... 18,P4(x)=216x,P4(x)=216.It is easy to check that for x = 2 this polynomial and all its derivatives take positive values, and therefore c = 2is an upper bound for its positive roots.A method based on ... change sign). It is easy to see that all these polynomials are positive for x = 2. Therefore,c = 2 is an upper bound for the positive roots of the given polynomial.5.1.5-5. Theorems on the...
... formulaslij=⎧⎪⎨⎪⎩aij–j–1s=1lisusj for i ≥ j,0 for i < j,uij=⎧⎪⎪⎨⎪⎪⎩1liiaij–i–1s=1lisusj for i < j1 for i = j,0 for i > j.5.5.2-3. Solutions ... a solution of system (5.5.1.1).2. The difference of any two solutions of the nonhomogeneous system (5.5.1.1) is a solution of the homogeneous system (5.5.1.3).3. The sum of a particular solution ... between solutions of the nonhomogeneous system (5.5.1.1) and solutions ofthe corresponding homogeneous system (5.5.1.3).1. The sum of any solution of the nonhomogeneous system (5.5.1.1) and any solution...
... Summation Formulas for Trigonometric Series8.4.4-1. Summation of trigonometric series with the help of Laplace transforms.When finding sums of trigonometric series, the following formulas may ... approximation for the given function for x →∞. For a fixed n, the accuracy of the approximations increases with the growth of x.8.5.1-2. Uniqueness of an asymptotic series representing a function.1. For ... uniformly convergent to thatfunction on the interval(–l, l). For any continuously differentiable 2l-periodic function f(x), its Fourier series [definedby formulas (8.4.2.1)–(8.4.2.2)] is uniformly...
... integration11.4. Various Forms of the Fourier Transform11.4.1. Fourier Transform and the Inverse Fourier Transform11.4.1-1. Standard form of the Fourier transform.The Fourier transform is defined as ... inverse Laplaceand Fourier transforms.11.4. VARIOUS FORMS OF THE FOURIER TRANSFORM 443TABLE 11.3Main properties of the Mellin transformNo. Function Mellin transform Operation1af1(x)+bf2(x)aˆf1(s)+bˆf2(s)Linearity2f(ax), ... INTEGRAL TRANSFORMSThe Mellin transform of f (x)isdefined byˆf(s)=∞0f(x)xs–1dx,(11.3.1.1)where s = σ + iτ is a complex variable (σ1< σ < σ2). For brevity, we rewrite formula (11.3.1.1)...
... function (see Fig. 20.7b) and the characteristic functionhave the formF (x)=⎧⎨⎩0 for x ≤ a,x – ab – a for a < x ≤ b,1 for x > b,f(t)=1t(b – a)(eitb– eita),(20.2.4.2)and ... exponential distribution for λ = 2.The cumulative distribution function (see Fig. 20.8b) and the characteristic functionhave the formF (x)=1 – e–λx for x > 0,0 for x ≤ 0,f(t)=1 –itλ–1,(20.2.4.4)and ... the char-acteristic function have the formF (x)=⎧⎪⎨⎪⎩1 for x > n,mk=1Cknpk(1 – p)n–k for m ≤ x < m + 1 (m = 1, 2, , n – 1),0 for x < 0,ϕX(z)=(1 – p + pz)n,f(t)=(1...
... respectivecoordinate, form aright-handed triple, just asunit vectorsi,j,k ofa right-handed rectangularCartesian coordinate system.11951194 INTEGRAL TRANSFORMSNo. Direct transform,ˆf(s) ... xReferences for Chapter T3Bateman, H. and Erd´elyi, A., Tables of Integral Transforms. Vol. 1, McGraw-Hill, New York, 1954.Bateman, H. and Erd´elyi, A., Tables of Integral Transforms. Vol. ... Prudnikov, A. P., Integral Transforms and Operational Calculus, Pergamon Press, NewYork, 1965.Oberhettinger, F., Tables of Fourier Transforms and Fourier Transforms of Distributions, Springer-Verlag,Berlin,...