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- 要約等The second edition of this book has been extensiv......y revised so that readers can gain ready access to advanced topics of mathematical physics inclu......ing the theory of analytic functions and continuous groups. This easy accessibility helps to create a deeper and clearer insight into mathematical physics, with emphasis on quantum mechanics and electromagnetism along with the theory of linear vector spaces and group theory. The basic nature of the book remains unchanged. The contents are targeted at graduate and undergraduate students majoring in chemi......hem with the practical and intuitive methodology of mathematical physics. In para...
- 内容細目...e References Chapter 3: Hydrogen-Like Atoms 3.1 Introductory Remarks 3.2 Constitution of Hamiltonian 3.3 Separation of Variables 3.4 Generalized Angular Momentum 3.5 Orbital Angular Momentum: Operator Approach 3.6 Orbital Angular Momentum: Analytic Approach 3.6.1 Spherical Surface Harmonics and Associated Legendre Differential Equation 3.6.2 Orthogonality of Associated Legendre Functions 3.7 Radial Wave Functions of Hydrogen-Like Atoms 3.7.1 Operator Approach to Radial Wave Functions 3.7.2 Normalization of Radial Wave Functions 3.7.3 Associated Laguerre Polynomials 3.8 Total Wave Functions Chapter 4: Optical Transition and...
- 件名Mathematical physics. Chemistry, Physical and theoretical--Mathematics.
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- 要約等The second edition of Mathematics as a Laboratory Tool refle......the growing impact that computational science is having on the career choices made by undergraduate science and engineering ......focus is on dynamics and the effects of time delays and stochastic perturbations noise on the regulation provided by feedback control syst....... The concepts are illustrated with applications to gene regulatory networks, ......, neuroscience and population biology. The presentation in the first edition has been extended......de discussions of neuronal excitability and bursting, multistability, microchaos, Bayesian inference, second...
- 内容細目...ange 2.2.3 Linear ODEs with Constant Coefficients 2.3 Black Boxes 2.3.1 Nonlinear Differential Equations 2.4 Existence and Uniqueness 2.5 What Have We Learned? 2.6 Exercises for Practice and Insight 3 Equilibria and Steady States 3.1 Law of Mass Action 3.2 Closed Dynamical Systems 3.2.1 Equilibria: Drug Binding 3.2.2 Transient Steady States: Enzyme Kin......cs 3.3 Open Dynamical Systems 3.3.1 Water Fountains 3.4 The ``Steady-State Approximation'' 3.4.1 Steady State: Enzyme-Substrate Reactions 3.4.2 Steady State: Consecutive Reactions 3.5 Existence of Fixed Points 3.6 What Have We learned? 3.7 Exercises for Practice and Insight 4 Stability ...
- NDLCRA191
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- 内容細目Biomedical robotics and biomechatronics Improving the performance of a traveling wave micropump for fluid transport in micro total analysis systems by T. Suzuki et al Vision-based tactile sensor fo......doscopy by K. Takashima, K. Yoshinaka, K. Ikeuchi 6-DOF manipulator-based novel type of support system for biomedical applications by S. Guo, Q. Wang, G. Song The development of a new kind of underwater walking robot by W. Zhang, S. Guo Mid-infrared robotic laser surgery sys......by S. Omori et al Development of a compact automatic focusing system for a neurosurgical laser instrument ...... M. Noguchi et al Non-invasive monitoring of a...
- NACSIS書誌ID（NCID）BA81059171
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- 著者標目MORI Masatake
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- 要約等A method for evaluation of the error function of real and complex variable by means of a trapezoidal sum with a correction ter......s method gives a result with high relative accuracy with small number of operations. A precise upper bound of the relative error of the approximation for real variable is given.
- 件名General Mathematics
- 参照Fast computation of Goursat’s infinite integral with very high accuracy
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- DOI10.1002/malq.19750210102
- 参照Computational benefit of smoothness: Parameterized bit-complexity of numerical operators on analytic functions and Gevrey’s hierarchy
- 著者標目Marian Boykan Pour‐El Jerome Caldwell
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- NACSIS書誌ID（NCID）BA23398996
- LCCQA331
- 件名Functions of real variables Functions of complex variables
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- LCCQA300
- 件名Calculus Functions
- 件名（識別子）Calculus Functions
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- NACSIS書誌ID（NCID）BA67670819
- 一般注記Ч. 2 includes general index Originally published in English: A treatise on advanced calculus : including those parts of the theory of functions of real and complex variables with form the logical basis of the infinitesimal analysis and its applications to geometry and physics / by Philip Franklin. 1947
- 並列タイトル等（連結）A treatise on advanced calculus : including those parts of the theory of functions of real and complex variables with form the logical basis of the infinitesimal analysis and its applications to geometry and physics Matematicheskiĭ analiz
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- NACSIS書誌ID（NCID）BA10839749
- 著者標目Franklin, Philip
- 著者標目（識別子）DA04668477 https://ci.nii.ac.jp/author/DA04668477#entity https://viaf.org/viaf/sourceID/NII%7CDA04668477
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