Search Results - "polynomial"

College algebra / by Stewart, James, 1941-

Table of Contents: “…Functions -- Graphs of functions -- Getting information from the graph of a function -- Average rate of change of a function -- Transformations of functions -- Combining functions -- One-to-one functions and their inverses -- [3.] Polynomial and rational functions. Quadratic functions and models -- Polynomial functions and their graphs -- Dividing polynomials -- Real zeros of polynomials -- Complex numbers -- Complex zeros and the fundamental theorem of algebra -- Rational functions -- Modeling variation -- [4.] …”
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A classical introduction to Galois theory by Newman, Stephen C., 1952-

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Linear differential equations and oscillators / by Campos, Luis Manuel Braga da Costa

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Number theory through inquiry by Marshall, David C.

Table of Contents: “…Introduction -- Divide and conquer -- Prime time -- A modular world -- Fermat's Little Theorem and Euler's Theorem -- Public key cryptography -- Polynomial congruences and primitive roots -- The golden rule : quadratic reciprocity -- Pythagorean triples, sums of squares, and Fermat's Last Theorem -- Rationals close to irrationals and the Pell equation -- The search for primes -- Mathematical induction : the domino effect.…”
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Numerical analysis / by Burden, Richard L.

Table of Contents: “…Mathematical preliminaries and error analysis -- Solutions of equations in one variable -- Interpolation and polynomial approximation -- Numerical differentiation and integration -- Initial-value problems for ordinary differential equations --Direct methods for solving linear systems -- Iterative techniques in matrix algebra -- Approximation theory -- Approximating eigenvalues -- Numerical solutions of nonlinear systems of equations -- Boundary-value problems for ordinary differential equations -- Numerical solutions to partial differential equations.…”
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The everything guide to calculus I a step-by-step guide to the basics of calculus-- in plain English! / by Hill, Greg

Table of Contents: “…The top 10 ways to be successful in calculus -- Prerequisite skills -- Start building with limits -- The importance of continuity -- Getting differentiability straight -- Derivatives of polynomials -- Derivatives of trigonometric functions -- The chain rule -- Derivatives of other functions -- Derivatives of inverse trigonometric functions -- Higher-order derivatives -- Graph analysis using derivatives -- Applications of derivatives -- Area by numerical methods -- The definitive integral explored -- The fundamental theorem of calculus -- Methods of antidifferentiation -- Indefinite integrals -- The integral as an accumulator -- Applications of integrals.…”
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College algebra : special equations, functions, and logarithms / by Ji, Xiang, Mu, Ge

Table of Contents: “…Understanding quadratic equations -- 1.1 Solving quadratic equations -- 1.2 Vieta's formulas -- 1.3 Applications to rational and quadratic equations -- 1.4 Complex numbers -- 1.5 Solving quadratic equations in complex numbers -- 1.6 Polynomial equations and inequalities -- 1.7 Rational inequalities --…”
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Understanding regression analysis : a conditional distribution approach / by Westfall, Peter H., 1957-, Arias, Andrea L.

Table of Contents: “…R-squared, Adjusted R-Squared, the F Test, and Multicollinearity9. Polynomial Models and Interaction (Moderator) Analysis10. …”
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Computational complexity of counting and sampling / by Miklós, István (Mathematician)

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Systematic musicology empirical and theoretical studies /

Table of Contents: “…Introduction / Albrecht Schneider, Arne von Ruschkowski -- Techno, decibels, and politics : an empirical study of modern dance music productions, sound pressure levels, and "loudness perception" / Albrecht Schneider, Arne von Ruschkowski -- Polynomial functions as a representation of melodic phrase contour / Daniel Müllensiefen, Geraint Wiggins -- Meloworks : an integrated retrieval, analysis and e-learning platform for melody research / Klaus Frieler, Frank Höger, Jörg Korries -- Perception of musical intervals at very low frequencies : some experimental findings / Albrecht Schneider, Valeri Tsatsishvili -- Nasality in musical sounds - a few intermediate results / Robert Mores -- Air modes in stringed lute-like instruments from Africa and China / Florian Pfeifle -- Psychoacoustic effects in wave field synthesis applications / Tim Ziemer -- Sound radiation patterns in classical singing styles / Orie Takada -- Some observations on a Stein-Conrad Hammerflügel from 1793 / Andreas Beurmann, Albrecht Schneider -- Playing "live" at the Star-Club : reconstructing the room acoustics of a famous music hall / Rolf Bader, Albrecht Schneider -- "You don't see the stitching" : some comments on stylistic diversity in rock using the example of Jethro Tull / Till Strauf -- Comments about Joni Mitchell's composing techniques and guitar style / Jan Clemens Moeller -- Egalitarianism and elitism in ethnomusicology and folk music scholarship / Ulrich Morgenstern -- Buddhism, animism, and entertainment in Cambodian melismatic chanting smot : history and tonal system / Rolf Bader -- Concerning the question of "loosely-knit" roughly equidistant scale in traditional music / Rytis Ambrazevičius.…”
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Discrete mathematics : graph algorithms, algebraic structures, coding theory, and cryptography / by Sridharan, Sriraman, Balakrishnan, R. (Rangaswami)

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Error-Correction Coding and Decoding Bounds, Codes, Decoders, Analysis and Applications / by Tomlinson, Martin, Tjhai, Cen Jung, Ambroze, Marcel A., Ahmed, Mohammed, Jibril, Mubarak

Table of Contents: “…Part I: Theoretical Performance of Error-Correcting Codes -- Bounds on Error Correction Coding Performance -- Soft and Hard Decision Decoding Performance -- Soft Decision and Quantised Soft Decision Decoding -- Part II: Code Construction -- Cyclotomic Cosets, The Mattson–Solomon Polynomial, Idempotents and Cyclic Codes -- Good Binary Linear Codes -- Lagrange Codes -- Extended BCH -- Reed–Solomon Codes -- Algebraic Geometry Codes -- Algebraic Quasi Cyclic Codes -- Convolutional Codes: A Historical Perspective -- Aalogue BCH Codes -- LDPC Codes -- Part III: Analysis of Codes -- True Search for Stopping Sets for LDPC Codes -- Part IV: Decoders -- Erasures and Error-Correcting Codes -- The Modified Dorsch Decoder -- A Concatenated Error-Correction System Using the |u|u+v| Code Construction -- Part V: Applications -- Combined Error Detection and Error Correction -- Password Correction and Confidential Information Access System -- Variations on the McEliece Public Key Encryption System -- Error-Correcting Codes and Dirty-Paper Coding.…”
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Level set method in medical imaging segmentation /

Table of Contents: “…Bui -- Level set methods in segmentation of SDOCT retinal images / Padmasini N, Umamaheswari R, Mohamed Yacin Sikkandar and Manavi D Sindal -- Numerical techniques for level set models : an image segmentation perspective / Elisabetta Carlini, Maurizio Falcone, and Roberto Ferretti -- Level set methods for cardiac segmentation in MSCT images / Ruben Medina, Sebastian Bautista, Villie Morocho, and Alexandra La Cruz -- Deformable models and image segmentation / Ahmed ElTanboly, Ali Mahmoud, Ahmed Shalaby, Magdi El-Azab, Mohammed Ghazal, Robert Keynton, and Ayman El-Baz -- Cardiac image segmentation using generalized polynomial chaos expansion and level set function / Yuncheng Du, and Dongping Du -- Medical image segmentation approach that uses level sets with statistical shape priors / Ahmed Eltanboly, Mohammed Ghazal, Hassan Hajjdiab, Ali Mahmoud, Ahmed Shalaby, Jasjit Suri, Robert Keynton, and Ayman El-Baz -- Level set method in medical imaging segmentation / Jiangxiong Fang -- Image segmentation with B-spline level set / Shenhai Zheng, Bin Fang, and Laquan Li.…”
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Lattice point identities and Shannon-type sampling by Freeden, W. (Willi)

Table of Contents: “…6.1 Homogeneous Harmonic Polynomials6.2 Bessel Functions; 6.3 Asymptotic Expansions; 7. …”
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Nonlinear systems and their remarkable mathematical structures /

Table of Contents: “…Grammaticos, A Ramani, R Willox and T Mase -- Elementary introduction to discrete soliton equations / J Hietarinta -- New results on integrability of the Kahan-Hirota-Kimura discretizations / Yu B Suris and M Petrera -- Dynamical systems satisfied by special polynomials and related isospectral matrices defined in terms of their zeros / O Bihun -- Singularity methods for meromorphic solutions of differential equations / R Conte, T W Ng and C Wu -- Pfeiffer-Sato solutions of Buhl's problem and a Lagrange-D'Alembert principle for Heavenly equations / O E Hentosh, Ya A Prykarpatsky, D Blackmore and A Prykarpatski -- Superposition formulae for nonlinear integrable equations in bilinear form / X B Hu -- Matrix solutions for equations of the AKNS system / C Schiebold -- Algebraic traveling waves for the generalized KdV-Burgers equation and the Kuramoto-Sivashinsky equation / C Valls -- Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchies / M Euler and N Euler -- Geometry of normal forms for dynamical systems / G Gaeta -- Symmetries of It^o stochastic differential equations and their applications / R Kozlov -- Statistical symmetries of turbulence / M Oberlack, M Waclawczyk and V Grebenev -- Integral transforms and ordinary differential equations of infinte order / A Chavez, H Prado and E G Reyes -- The role of nonlinearity in geostrophic ocean flows on a sphere / A Constantin and R S Johnson -- Review of results on a system of type many predators-one prey / A V Osipov and G Soderbacka -- Ermakov-type systems in nonlinear physics and continuum mechanics / C Rogers and W K Schief.…”
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Handbook of homotopy theory

Table of Contents: “…Goodwillie calculus -- 1.1 Polynomial Approximation and the Taylor Tower -- 1.2 The Classification of Homogeneous Functors -- 1.3 The Taylor tower of the identity functor for based spaces -- 1.4 Operads and Tate data: the Classification of Taylor towers -- 1.5 Applications and calculations in algebraic K-theory -- 1.6 Taylor towers of infinity-categories -- 1.7 The manifold and orthogonal calculi -- 1.8 Further directions -- Bibliography -- 2. …”
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Entropy-Enthalpy Compensation Finding a Methodological Common Denominator Through Probability, Statistics, and Physics. by Starikov, Evgeni

Table of Contents: “…A2.4.8.2 Mechanism of sensations -- A2.4.8.3 Mechanism of psychoses -- A2.4.8.4 Consequences -- A2.4.8.5 Influence of the cerebral inertia coefficient -- A2.4.9 Conclusion -- Appendix 3 to Chapter 1: A Methodological Outlook -- 2. Polynomial Exploratory Factor Analysis on Molecular Dynamics Trajectory of the Ras-GAP System: A Possible Theoretical Approach to Enzyme Engineering -- 2.1 Introduction -- 2.2 Results and Discussion -- 2.2.1 Linear Exploratory Factor Analysis Results -- 2.2.2 Nonlinear Exploratory Factor Analysis Results -- 2.3 Detailed Description of the Method…”
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Computer Intensive Methods in Statistics by Zwanzig, Silvelyn

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Methods of Mathematical Modelling Fractional Differential Equations.

Table of Contents: “…6.7 ConclusionReferences; 7 A Hybrid Formulation for Fractional Model of Toda Lattice Equations; 7.1 Introduction; 7.2 Basic Idea of HATM with Adomian's Polynomials; 7.3 Application to the Toda Lattice Equations; 7.4 Numerical Result and Discussion; 7.5 Concluding Remarks; Acknowledgements; References; 8 Fractional Model of a Hybrid Nanofluid; 8.1 Introduction; 8.2 Problem's Description; 8.3 Generalization of Local Model; 8.4 Solution of the Problem; 8.4.1 Solutions of the Energy Equation; 8.4.2 Solution of Momentum Equation; 8.5 Results and Discussion; 8.6 Concluding Remarks; Acknowledgment…”
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Handbook of analytic operator theory / by Zhu, Kehe, 1961-

Table of Contents: “…6.8 Boundary ZK spaces6.9 Composition operators on Zp and ZK spaces; References; 7: Analytical Aspects of the Drury-Arveson Space; 7.1 Introduction; 7.2 von Neumann inequality for row contractions; 7.3 The multipliers; 7.4 A family of reproducing-kernel Hilbert spaces; 7.5 Essential normality; 7.6 Expanding on Drury's idea; 7.7 Closure of the polynomials; References; 8: A Brief Survey of Operator Theory in H2(D2); 8.1 Introduction; 8.2 Background; 8.3 Nagy-Foias theory in H2(D2); 8.4 Commutators; 8.5 Two-variable Jordan block; 8.6 Fredholmness of the pairs (R1,R2) and (S1,S2)…”
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