discrete mathematics and its applications induction
Hydraulic modeling of open channel flows over an arbitrary 3-d surface and its applications in amenity hydraulic engineering
... water is diverted and locally accelerated or drawn off, any associated vortex tube is extended and its rotation is thereby increased. Higher velocities incur lower pressures and, if a free surface ... curvilinear coordinates for prediction of flow pattern in meandering channel with 60o and 90o bend, and also with compound meandering channel. In this study, the Cartesian velocity components ... OVER AN ARBITRARY 3-D SURFACE AND ITS APPLICATIONS IN AMENITY HYDRAULIC ENGINEERING TRAN NGOC ANH August, 2006 177. Hsieh T. and Yang J. C. 2003. Investigation...
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Real-Time Digital Signal Processing - Chapter 7: Fast Fourier Transform and Its Applications
... the command file exp7.cmd, thefunctions epx7a.c, fft_a.c,andibit_rev.c, and the header fileicomplex.h from the software package into the project.340FAST FOURIER TRANSFORM AND ITS APPLICATIONS ... 0.;338FAST FOURIER TRANSFORM AND ITS APPLICATIONS Compared with LM required by direct FIR filtering, the computational saving issignificant when both L and M are large.For many applications, the input ... the radix-2 FFT algorithms, and the320FAST FOURIER TRANSFORM AND ITS APPLICATIONS PeriodicityBecause of the periodicity property shown in Figure 7.1, the DFT and IDFT produceperiodic results...
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Tài liệu Mathematics and Its History, Third Edition potx
... Stillwell Mathematics and Its HistoryThird Edition123 1The Theorem of PythagorasPreviewThe Pythagorean theorem is the most appropriate starting point for a bookon mathematics and its history. ... assumed and the mathe-matics is not developed formally as in a standard text. On the other hand,the mathematics is pursued more thoroughly than in most general historiesof mathematics, because mathematics ... octahedron, and it is also the same for the do-decahedron and the icosahedron. This implies that the cube and octahedron canbe exchanged in Kepler’s construction, as can the dodecahedron and the...
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Báo cáo khoa học: "A Statistical Tree Annotator and Its Applications" pptx
... Feature 1 and 18 to the PP-nodein Figure 1 would yield a feature instance that cap-tures the fact that the current node is a PP node and its head child’s POS tag is TO.4 Applications and ResultsA ... Feature 9 and 10 are computed from past pre-dicted values. When predicting the function tag forthe PP-node in Figure 1, there is no predicted valuefor its left-sibling and any of its child ... and partition the data set identically: Section1232 curacies for 4 types of function tags, and our resultsin Table 3 compare favorably with those in (Blaheta and Charniak, 2000). Lintean and...
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BIOTECHNOLOGY and its APPLICATIONS
... and Facts about Food Biotechnology, Food Insight, September/October 1999, PP 2-3. 19- Council for Agricultural Science and Technology: Applications of Biotechnology to Crops: Benefits and ... finishing of fabrics and garments. Biotechnology also produces biotech-derived cotton that is warmer, stronger, has improved dye uptake and retention, enhanced absorbency, and wrinkle- and shrink-resistance. ... allergens. These risks are systematically evaluated by FDA and identified prior to commercialization. 1 FSR0031 BIOTECHNOLOGY and its APPLICATIONS Kevin Keener, Assistant Professor of...
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probability and its applications - ollav kallenberg
... spaces. A randomelement in S is called a random variable when S = R,arandom vectorwhen S = Rd,arandom sequence when S = R∞,arandom or stochasticprocess when S is a function space, and a random ... mapping and approximation; coupling and measurabilityThe first goal of this chapter is to introduce and compare the basic modes ofconvergence of random quantities. For random elements ξ and ξ1,ξ2, ... sym-metric and positive random variables. In this context, we may further obtaincriteria for convergence toward Gaussian and degenerate limits, respectively. 2. Processes, Distributions, and Independence...
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coal gasification and its applications
... equilibrium methane concentrations are low, and obtaining an accuratemeasure of methane content may be difficult.Gasification Fundamentals 45 COAL GASIFICATION AND ITS APPLICATIONS DAVID A BELLBRIAN F ... by injecting the tar, alongwith oxygen and steam, through the tuyeres and into the slag layer. Bartone and Whitealso examined PRB subbituminous coal, and estimated about the same condensed taryield.Table ... solidswithin the gasifier; and there can be large variations in gas composition and temperaturewithin the gasifier. The coal particles have complex and variable chemical composition and structure. Particle...
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advanced mathematics and mechanics applications using matlab - howard b. wilson
... mechanics, and some mathematics beyond calculus is essential to understand most of the topics. Finally,the authors enjoy interacting with students, teachers, and researchers applying ad-vanced mathematics ... and UsingSymbolicMath5.6NumericalandSymbolicResultsfortheExample5.7GeometricalPropertiesofaPolyhedron5.8EvaluatingIntegralsHavingSquareRootTypeSingularities5.8.1ProgramListing5.9GaussIntegrationofaMultipleIntegral5.9.1Example:EvaluatingaMultipleIntegral6FourierSeriesandtheFastFourierTransform6.1DeịnitionsandComputationofFourierCoefịcients6.1.1TrigonometricInterpolationandtheFastFourierTransform6.2SomeApplications6.2.1UsingtheFFTtoComputeIntegerOrderBesselFunctions6.2.2DynamicResponseofaMassonanOscillatingFoundation6.2.3GeneralProgramtoPlotFourierExpansions7DynamicResponseofLinearSecondOrderSystems7.1SolvingtheStructuralDynamicsEquationsforPeriodicForces7.1.1ApplicationtoOscillationsofaVerticallySuspendedCable7.2DirectIntegrationMethods7.2.1ExampleonCableResponsebyDirectIntegrationâ ... 3.5.3TheStructuralDynamicsEquation3.6ComputingNaturalFrequenciesforaRectangularMembrane3.7ColumnSpace,NullSpace,OrthonormalBases,andSVD3.8ComputationTimetoRunaMATLABProgram4MethodsforInterpolationandNumericalDifferentiation4.1ConceptsofInterpolation4.2Interpolation,Differentiation,andIntegrationbyCubicSplines4.2.1ComputingtheLengthandAreaBoundedbyaCurve4.2.2Example:LengthandEnclosedAreaforaSplineCurve4.2.3GeneralizingtheIntrinsicSplineFunctioninMATLAB4.2.4Example:ASplineCurvewithSeveralPartsandCorners4.3NumericalDifferentiationUsingFiniteDifferences4.3.1Example:ProgramtoDeriveDifferenceFormulas5GaussIntegrationwithGeometricPropertyApplications5.1FundamentalConceptsandIntrinsicIntegrationToolsinMATLAB5.2ConceptsofGaussIntegration5.3ComparingResultsfromGaussIntegrationandFunctionQUADL5.4GeometricalPropertiesofAreasandVolumes5.4.1AreaPropertyProgram5.4.2ProgramAnalyzingVolumesofRevolution5.5...
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nonextensive statistical mechanics and its applications
... previously mentioned, and toUqas the generalized internal energy (assumed finite and fixed). It is clear that,in the q → 1 limit, these quantities recover the standard mean value and internalenergy ... theory and related issues (see [43,74,130,131] and referencestherein);(ix) Entropic lower and upper bounds [132–134] (related to Heinberg uncertaintyprinciple);(x) Quantum statistics [135] and ... 1, (60)where k is the wave vector, and à are eective inverse temperature and chemi-cal potential respectively, and ± respectively correspond to fermions and bosons.The degree of validity of...
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elementary recursion theory and its applications to formal systems - saul kripke
... in Lim (if you can).We can expand the language Lim by adding extra predicate letters and function letters and interpreting them as recursive sets and relations and recursive functions. If we ... thatDigp*(m,n,p), m<p and n≠0. Then n = z1.pk+1 + m.pk + z2 for some k, z1 and some z2 <pk. This includes initial digits (let z1 = 0) and final digits (let z2 = 0). So ... functions K1 and K2such that K1([x, y]) = x and K2([x, y]) = y for all x and y. When z does not code any pair,we could let K1 and K2 be undefined on z; here, however, we let K1 and K2...
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- 555 timer and its applications
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