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Applications of q-calculus in operator theory / / Ali Aral, Vijay Gupta, Ravi P. Agarwal
| Applications of q-calculus in operator theory / / Ali Aral, Vijay Gupta, Ravi P. Agarwal |
| Autore | Aral Ali |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York : , : Springer, , 2013 |
| Descrizione fisica | 1 online resource (xii, 262 pages) |
| Disciplina | 515.724 |
| Collana | Gale eBooks |
| Soggetto topico |
Calculus
Operator theory |
| ISBN | 1-4614-6946-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction of q-calculus -- q-Discrete operators and their results -- q-Integral operators -- q-Bernstein type integral operators -- q-Summation-integral operators -- Statistical convergence of q-operators -- q-Complex operators. |
| Record Nr. | UNINA-9910437873303321 |
Aral Ali
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| New York : , : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Applied Nonlinear Analysis and Soft Computing [[electronic resource] ] : Proceedings of ANASC 2020 / / edited by Hemen Dutta, Nazibuddin Ahmed, Ravi P. Agarwal
| Applied Nonlinear Analysis and Soft Computing [[electronic resource] ] : Proceedings of ANASC 2020 / / edited by Hemen Dutta, Nazibuddin Ahmed, Ravi P. Agarwal |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (433 pages) |
| Disciplina | 515.7248 |
| Collana | Advances in Intelligent Systems and Computing |
| Soggetto topico |
Computational intelligence
Artificial intelligence Evolution (Biology) Mathematical optimization Computational Intelligence Artificial Intelligence Evolutionary Theory Optimization |
| ISBN | 981-19-8054-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Effect of light intensity on resonance patterns in CDIMA reaction -- Operations on uncertain numbers and its application in multi-criteria group decision making problems -- An improved picture fuzzy similarity measure with its application in pattern recognition and COVID-19 -- A fuzzy inventory model for deteriorating items with time dependent demand under permissible delay in payment -- A delayed predator-prey fishery model with reserve area in presence of toxicity -- Location number of edges and vertices of two-fold hepta-pentagonal circular ladder -- A full probabilistic solution for a hybrid randomized linear-quadratic logistic-type model -- Modelling spotify users by a hybrid generalized logistic model with uncertainty: A random computational approach -- Vacuum solutions in Bianchi Type I universe in f(R) theory of gravity -- Shock, solitary and periodic wave solutions of the ion acoustic waves for nonextensive dusty plasma in the framework of Korteweg-de Vries-Burgers equation with forcing and damping terms -- A probabilistic fitting technique to calibrate a logistic model to study the growth of breast tumours -- Solving random differential equations by R.V.T. technique and Lagrange-Bürmann theorem via densities: Implementation and simulation -- Soret and dufour effects on MHD flow past a uniformly moving plate with uniform heat flux -- Bianchi type III cosmological model with quadratic equation of state in f(R, T) theory of gravity -- Thermal diffusion effect in MHD natural convective dissipative flow past a porous plate embedded in a porous medium -- Bounds for VL status index and coindex of graphs and validate to few specific graphs -- A note on degree based energies of m-splitting and m-shadow graphs -- Free group presentation of triangular planar shapes and their Betti numbers: computer engineering perspective. |
| Record Nr. | UNINA-9910735777103321 |
| Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Combined measure and shift invariance theory of time scales and applications / / Chao Wang, Ravi P. Agarwal
| Combined measure and shift invariance theory of time scales and applications / / Chao Wang, Ravi P. Agarwal |
| Autore | Zhao Bingxuan |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (443 pages) |
| Disciplina | 381 |
| Collana | Developments in Mathematics |
| Soggetto topico |
Differential equations
Equacions diferencials Anàlisi funcional Teoria de la mesura |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-11619-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Riemann Integration, Stochastic Calculus, and Shift Operators on Time Scales -- 1.1 Riemann Integration on Time Scales -- 1.1.1 Riemann Delta and Nabla Integration on Time Scales -- 1.1.2 Some Fundamental Results of the Riemann Integral -- 1.1.3 Fundamental Theorems of Calculus -- 1.2 Stochastic Calculus and Dynamic Equations on Time Scales -- 1.2.1 Relation Between Classical Integrable Functions and Δ-Integrable Functions -- 1.2.2 Stochastic Calculus -- 1.2.3 Stochastic Dynamic Equations on Time Scales -- 1.3 Shift Operators on Time Scales -- 1.3.1 Shift Operators -- 1.3.2 Periodicity of Time Scales -- 1.4 Combined Dynamic Derivatives on Time Scales -- 1.4.1 Delta and Nabla Derivatives -- 1.4.2 Diamond-α Dynamic Derivative -- 1.4.3 Some Basic Properties of Combined Dynamic Derivatives -- 1.4.4 Combined Dynamic Integrations -- 1.5 Combined Liouville Formula and α-Matrix Exponential Solutions -- 1.5.1 Liouville Formula for Δ-Dynamic Equations -- 1.5.2 Liouville Formula for -Dynamic Equations and Some Lemmas -- 1.5.3 Liouville Formula for Diamond-α Dynamic Equations -- 1.6 Quaternion Combined Impulsive Matrix Dynamic Equation on Time Scales -- 1.6.1 Quaternion Delta and Nabla Exponential Function -- 1.6.2 Quaternion Matrix Diamond-Exponential Function and Quaternion Combined Matrix Dynamic Equation -- 1.6.3 Quaternion Impulsive Nonhomogeneous Matrix Combined Dynamic Equation -- 2 α-Measurability and Combined Measure Theory on Time Scales -- 2.1 Lebesgue Measurable and Lebesgue α-Measurable Sets -- 2.1.1 α-Measure -- 2.1.2 Lebesgue Measurable and Lebesgue α-Measurable Sets -- 2.2 α-Measurable Functions and Lebesgue Measurable Functions -- 2.2.1 α-Measurable Functions -- 2.2.2 Lebesgue Measurable and Lebesgue α-Measurable Functions -- 2.3 α-Integral on Time Scales -- 2.3.1 Riemann α-Integral.
2.3.2 Lebesgue α-Integral on Time Scales -- 2.3.3 Relation Between Lebesgue α-Integral and Riemann α-Integral -- 2.4 Lebesgue-Stieltjes Combined α-Measure and Integral on Time Scales -- 2.4.1 Lebesgue-Stieltjes α-Outer Measure and Related Properties -- 2.4.2 Lebesgue-Stieltjes α-Measure and Related Properties -- 2.4.3 Relationships, Extensions, and Composition Theorems for Lebesgue-Stieltjes α-Measure -- 2.5 Lebesgue-Stieltjes α-Measurable Function and α-Integral -- 2.5.1 Lebesgue-Stieltjes α-Measurable Function and Convergence Theorems -- 2.5.2 Lebesgue-Stieltjes α-Integral -- 2.5.3 Relationships, Extensions, and Composition Theorems of Lebesgue-Stieltjes α-Integral -- 3 Shift Invariance and Matched Spaces of Time Scales -- 3.1 Periodic Time Scales with Shift Operators -- 3.2 Singularity of Time Scales Under Action of Shift Operators δ -- 3.3 Complete-Closed Time Scales Under Shifts -- 3.4 The Matched Space of Time Scales and Shift Invariance -- 3.5 Singularity of Time Scales Under Action of Shift Operators δ and δ-1 -- 3.6 Singularity Avoiding: A Shift with Direction -- 4 Almost Periodic Functions Under Matched Spaces of Time Scales -- 4.1 Periodic Functions Under Complete-Closed Time Scales in Shifts -- 4.2 δ-Almost Periodic Functions Under Matched Spaces -- 4.3 Piecewise δ-Almost Periodic Stochastic Process in Shift Operators -- 4.4 n0-Order Δ-Almost Periodic Functions -- 5 Almost Automorphic Functions Under Matched Spaces of Time Scales -- 5.1 Weighted Pseudo δ-Almost Automorphic Functions Under Matched Spaces -- 5.2 n0-Order Weighted Pseudo Δ-Almost Automorphic Functions -- 5.3 Discontinuous Weighted Pseudo S-Almost Automorphic Functions -- 5.3.1 S-Equipotentially Almost Automorphic Sequence Under S-CCTS -- 5.3.2 S-Almost Automorphic Functions and Weighted Pseudo S-Almost Automorphic Functions. 6 C0-Semigroup and Stepanov-Like Almost Automorphic Functions on Hybrid Time Scales -- 6.1 C0-Semigroup on a Quantum Time Scale -- 6.2 Stepanov-Like Almost Automorphic Functions on a Quantum Time Scale -- 6.3 Weak Almost Automorphy on a Quantum Time Scale -- 6.4 Shift-Semigroup Under Matched Spaces of Time Scales -- 6.5 Stepanov-Like Almost Automorphic Functions in Matched Spaces of Time Scales -- 7 Almost Periodic Dynamic Equations Under Matched Spaces -- 7.1 Basic Theory of Nonlinear Almost Periodic Dynamic Equations -- 7.2 Exponential Dichotomy of Inhomogeneous Dynamic Equations -- 7.3 δ-Almost Periodic Solutions of Dynamic Equations -- 7.4 n0-Order Δ-Almost Periodic Solutions for Dynamic Equations -- 8 Almost Automorphic Dynamic Equations Under Matched Spaces -- 8.1 Weighted Pseudo δ-Almost Automorphic Solutions for Dynamic Equations -- 8.2 n0-Order Weighted Pseudo Δ-Almost Automorphic Solutions for Dynamic Equations -- 8.3 Almost Automorphic Impulsive Dynamic Equations Based on Shift Operators -- 9 Applications to Dynamics Models Under Matched Spaces -- 9.1 Almost Periodic Neutral Impulsive Stochastic Lasota-Wazewska Timescale Model -- 9.1.1 Introduction and Model Description -- 9.1.2 Inverse Representation of the Neutral Term with Shift Operator -- 9.1.3 Existence of Mean-Square Almost Periodic Solution -- 9.2 Almost Periodic Impulsive Stochastic Nicholson's Blowflies Timescale Model -- 9.2.1 Model Description -- 9.2.2 Almost Periodic Stochastic Process Under Periodic Time Scales with Shifts δ -- 9.2.3 Mean-Square Positive Almost Periodic Solutions to the Model with Shift Operators -- 9.3 A Numerical Example and the Model on the Quantum Time Scale -- References -- Index. |
| Record Nr. | UNINA-9910595037203321 |
|
Zhao Bingxuan
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combined measure and shift invariance theory of time scales and applications / / Chao Wang, Ravi P. Agarwal
| Combined measure and shift invariance theory of time scales and applications / / Chao Wang, Ravi P. Agarwal |
| Autore | Zhao Bingxuan |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (443 pages) |
| Disciplina | 381 |
| Collana | Developments in Mathematics |
| Soggetto topico |
Differential equations
Equacions diferencials Anàlisi funcional Teoria de la mesura |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-11619-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Riemann Integration, Stochastic Calculus, and Shift Operators on Time Scales -- 1.1 Riemann Integration on Time Scales -- 1.1.1 Riemann Delta and Nabla Integration on Time Scales -- 1.1.2 Some Fundamental Results of the Riemann Integral -- 1.1.3 Fundamental Theorems of Calculus -- 1.2 Stochastic Calculus and Dynamic Equations on Time Scales -- 1.2.1 Relation Between Classical Integrable Functions and Δ-Integrable Functions -- 1.2.2 Stochastic Calculus -- 1.2.3 Stochastic Dynamic Equations on Time Scales -- 1.3 Shift Operators on Time Scales -- 1.3.1 Shift Operators -- 1.3.2 Periodicity of Time Scales -- 1.4 Combined Dynamic Derivatives on Time Scales -- 1.4.1 Delta and Nabla Derivatives -- 1.4.2 Diamond-α Dynamic Derivative -- 1.4.3 Some Basic Properties of Combined Dynamic Derivatives -- 1.4.4 Combined Dynamic Integrations -- 1.5 Combined Liouville Formula and α-Matrix Exponential Solutions -- 1.5.1 Liouville Formula for Δ-Dynamic Equations -- 1.5.2 Liouville Formula for -Dynamic Equations and Some Lemmas -- 1.5.3 Liouville Formula for Diamond-α Dynamic Equations -- 1.6 Quaternion Combined Impulsive Matrix Dynamic Equation on Time Scales -- 1.6.1 Quaternion Delta and Nabla Exponential Function -- 1.6.2 Quaternion Matrix Diamond-Exponential Function and Quaternion Combined Matrix Dynamic Equation -- 1.6.3 Quaternion Impulsive Nonhomogeneous Matrix Combined Dynamic Equation -- 2 α-Measurability and Combined Measure Theory on Time Scales -- 2.1 Lebesgue Measurable and Lebesgue α-Measurable Sets -- 2.1.1 α-Measure -- 2.1.2 Lebesgue Measurable and Lebesgue α-Measurable Sets -- 2.2 α-Measurable Functions and Lebesgue Measurable Functions -- 2.2.1 α-Measurable Functions -- 2.2.2 Lebesgue Measurable and Lebesgue α-Measurable Functions -- 2.3 α-Integral on Time Scales -- 2.3.1 Riemann α-Integral.
2.3.2 Lebesgue α-Integral on Time Scales -- 2.3.3 Relation Between Lebesgue α-Integral and Riemann α-Integral -- 2.4 Lebesgue-Stieltjes Combined α-Measure and Integral on Time Scales -- 2.4.1 Lebesgue-Stieltjes α-Outer Measure and Related Properties -- 2.4.2 Lebesgue-Stieltjes α-Measure and Related Properties -- 2.4.3 Relationships, Extensions, and Composition Theorems for Lebesgue-Stieltjes α-Measure -- 2.5 Lebesgue-Stieltjes α-Measurable Function and α-Integral -- 2.5.1 Lebesgue-Stieltjes α-Measurable Function and Convergence Theorems -- 2.5.2 Lebesgue-Stieltjes α-Integral -- 2.5.3 Relationships, Extensions, and Composition Theorems of Lebesgue-Stieltjes α-Integral -- 3 Shift Invariance and Matched Spaces of Time Scales -- 3.1 Periodic Time Scales with Shift Operators -- 3.2 Singularity of Time Scales Under Action of Shift Operators δ -- 3.3 Complete-Closed Time Scales Under Shifts -- 3.4 The Matched Space of Time Scales and Shift Invariance -- 3.5 Singularity of Time Scales Under Action of Shift Operators δ and δ-1 -- 3.6 Singularity Avoiding: A Shift with Direction -- 4 Almost Periodic Functions Under Matched Spaces of Time Scales -- 4.1 Periodic Functions Under Complete-Closed Time Scales in Shifts -- 4.2 δ-Almost Periodic Functions Under Matched Spaces -- 4.3 Piecewise δ-Almost Periodic Stochastic Process in Shift Operators -- 4.4 n0-Order Δ-Almost Periodic Functions -- 5 Almost Automorphic Functions Under Matched Spaces of Time Scales -- 5.1 Weighted Pseudo δ-Almost Automorphic Functions Under Matched Spaces -- 5.2 n0-Order Weighted Pseudo Δ-Almost Automorphic Functions -- 5.3 Discontinuous Weighted Pseudo S-Almost Automorphic Functions -- 5.3.1 S-Equipotentially Almost Automorphic Sequence Under S-CCTS -- 5.3.2 S-Almost Automorphic Functions and Weighted Pseudo S-Almost Automorphic Functions. 6 C0-Semigroup and Stepanov-Like Almost Automorphic Functions on Hybrid Time Scales -- 6.1 C0-Semigroup on a Quantum Time Scale -- 6.2 Stepanov-Like Almost Automorphic Functions on a Quantum Time Scale -- 6.3 Weak Almost Automorphy on a Quantum Time Scale -- 6.4 Shift-Semigroup Under Matched Spaces of Time Scales -- 6.5 Stepanov-Like Almost Automorphic Functions in Matched Spaces of Time Scales -- 7 Almost Periodic Dynamic Equations Under Matched Spaces -- 7.1 Basic Theory of Nonlinear Almost Periodic Dynamic Equations -- 7.2 Exponential Dichotomy of Inhomogeneous Dynamic Equations -- 7.3 δ-Almost Periodic Solutions of Dynamic Equations -- 7.4 n0-Order Δ-Almost Periodic Solutions for Dynamic Equations -- 8 Almost Automorphic Dynamic Equations Under Matched Spaces -- 8.1 Weighted Pseudo δ-Almost Automorphic Solutions for Dynamic Equations -- 8.2 n0-Order Weighted Pseudo Δ-Almost Automorphic Solutions for Dynamic Equations -- 8.3 Almost Automorphic Impulsive Dynamic Equations Based on Shift Operators -- 9 Applications to Dynamics Models Under Matched Spaces -- 9.1 Almost Periodic Neutral Impulsive Stochastic Lasota-Wazewska Timescale Model -- 9.1.1 Introduction and Model Description -- 9.1.2 Inverse Representation of the Neutral Term with Shift Operator -- 9.1.3 Existence of Mean-Square Almost Periodic Solution -- 9.2 Almost Periodic Impulsive Stochastic Nicholson's Blowflies Timescale Model -- 9.2.1 Model Description -- 9.2.2 Almost Periodic Stochastic Process Under Periodic Time Scales with Shifts δ -- 9.2.3 Mean-Square Positive Almost Periodic Solutions to the Model with Shift Operators -- 9.3 A Numerical Example and the Model on the Quantum Time Scale -- References -- Index. |
| Record Nr. | UNISA-996490344203316 |
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Zhao Bingxuan
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Convergence estimates in approximation theory / / Vijay Gupta, Ravi P. Agarwal
| Convergence estimates in approximation theory / / Vijay Gupta, Ravi P. Agarwal |
| Autore | Gupta Vijay |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , 2014 |
| Descrizione fisica | 1 online resource (xiii, 361 pages) |
| Disciplina |
510
511.4 515 515.2433 |
| Collana | Gale eBooks |
| Soggetto topico | Approximation theory |
| ISBN | 3-319-02765-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Preliminaries -- 2. Approximation by Certain Operators -- 3. Complete Asymptotic Expansion -- 4. Linear and Iterative Combinations -- 5. Better Approximation -- 6. Complex Operators in Compact Disks -- 7. Rate of Convergence for Functions of BV -- 8. Convergence for BV/Bounded Functions on Bezier Variants -- 9. Some More Results on Rate of Convergence -- 10. Rate of Convergence in Simultaneous Approximation -- 11. Future Scope and Open Problems. |
| Record Nr. | UNINA-9910300155703321 |
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Gupta Vijay
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| Cham, Switzerland : , : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical analysis and applications : selected topics / / edited by Michael Ruzhansky, Hemen Dutta, Ravi P. Agarwal
| Mathematical analysis and applications : selected topics / / edited by Michael Ruzhansky, Hemen Dutta, Ravi P. Agarwal |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : John Wiley & Sons, Inc., , [2018] |
| Descrizione fisica | 1 online resource (766 pages) |
| Disciplina | 515 |
| Soggetto topico | Mathematical analysis |
| ISBN |
1-119-41433-4
1-119-41430-X 1-119-41442-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910270906703321 |
| Hoboken, New Jersey : , : John Wiley & Sons, Inc., , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical analysis and applications : selected topics / / edited by Michael Ruzhansky, Hemen Dutta, Ravi P. Agarwal
| Mathematical analysis and applications : selected topics / / edited by Michael Ruzhansky, Hemen Dutta, Ravi P. Agarwal |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : John Wiley & Sons, Inc., , [2018] |
| Descrizione fisica | 1 online resource (766 pages) |
| Disciplina | 515 |
| Soggetto topico | Mathematical analysis |
| ISBN |
1-119-41433-4
1-119-41430-X 1-119-41442-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910820401103321 |
| Hoboken, New Jersey : , : John Wiley & Sons, Inc., , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Zero : a landmark discovery, the dreadful void, and the ultimate mind / / Syamal K. Sen, Ravi P. Agarwal
| Zero : a landmark discovery, the dreadful void, and the ultimate mind / / Syamal K. Sen, Ravi P. Agarwal |
| Autore | Sen Syamal K. |
| Pubbl/distr/stampa | London : , : Elsevier, , [2016] |
| Descrizione fisica | 1 online resource (167 p.) |
| Soggetto topico | Zero (The number) |
| ISBN | 0-12-804624-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Zero: A Landmark Discovery, the Dreadful Void, and the Ultimate Mind; Copyright Page; Contents; Preface; 1 Introduction; 1.1 Matter versus nonmatter; 1.2 Zero in universal nothingness; 1.3 Birth and five properties of zero; 1.4 Zero is the very life of all sciences and engineering; 1.5 Nomenclature, symbols, and terms concerning zero and place-value system; 1.5.1 Shunyata; 1.5.2 Sthanakramad; 1.6 Special terms concerning zero/infinity; 1.6.1 Zero for blast; 1.6.2 Ground zero; 1.6.3 Zero hour; 1.7 Digital display A 7-segment display; 1.8 Division by exact zero and nonexact zero
1.8.1 z/0 = 0 for any z?2 Zero a landmark discovery, the dreadful void, and the ultimate mind: Why; 2.1 A landmark discovery; 2.2 The dreadful void!; 2.2.1 True incident in the life of Swami Vivekananda in 1881; 2.3 The ultimate mind; 2.3.1 Nirvikalpa Samadhi and Bose-Einstein condensate; 2.3.2 Swami Vivekananda in the making; 2.3.3 Swami Vivekananda attaining NS; 2.3.4 Meerut incident; 2.3.5 State of NS and that of zero kinetic energy: equivalence; 2.3.6 Deep sleep; 2.3.7 Experience: natural versus artificial; 2.3.8 Experiencing and not just knowing 2.3.9 Who is faster: man (living computer) or computer in reality?2.3.10 Neuronal system: natural versus artificial; 2.3.11 God is omnipresent, omnipotent, and omniscient while computer will never be; 2.3.12 Chaos-does it really exist in nature?; 2.3.13 How do we know 0 K which is not reachable?; 2.3.14 Experience is the proof; 2.3.15 Mind is the reservoir of endless knowledge; 2.3.16 Numerical zero versus mathematical zero; 2.3.17 Consciousness: natural versus machine; 2.3.18 Measuring manifestation of consciousness; 3 History of zero including its representation and role 3.1 7000-2000 BC: innovation of decimal number system that is universally used today3.1.1 Prelude; 3.1.2 Aryabhatta: use of decimals, zero, and place value system; 3.1.3 The Maya numbers and Long Count; 3.2 2000 BC-1000 AD: zero reached its full development along with representation and arithmetic operations; 3.2.1 Representation of nothingness-an important need toward progress; 3.2.2 Zero as a number used by Indians; 3.2.2.1 Bhaskara II's Siddhanta Siromani: used zero of today; 3.2.2.2 Sarvanandi's Lokavibhaga: reference to zero in Jain work 3.2.2.9 Gotama Siddha's Kai yuan zhan jing: Symbol zero, place-value system, and Indian method of computation |
| Record Nr. | UNINA-9910797861303321 |
|
Sen Syamal K.
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||
| London : , : Elsevier, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Zero : a landmark discovery, the dreadful void, and the ultimate mind / / Syamal K. Sen, Ravi P. Agarwal
| Zero : a landmark discovery, the dreadful void, and the ultimate mind / / Syamal K. Sen, Ravi P. Agarwal |
| Autore | Sen Syamal K. |
| Pubbl/distr/stampa | London : , : Elsevier, , [2016] |
| Descrizione fisica | 1 online resource (167 p.) |
| Soggetto topico | Zero (The number) |
| ISBN | 0-12-804624-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Zero: A Landmark Discovery, the Dreadful Void, and the Ultimate Mind; Copyright Page; Contents; Preface; 1 Introduction; 1.1 Matter versus nonmatter; 1.2 Zero in universal nothingness; 1.3 Birth and five properties of zero; 1.4 Zero is the very life of all sciences and engineering; 1.5 Nomenclature, symbols, and terms concerning zero and place-value system; 1.5.1 Shunyata; 1.5.2 Sthanakramad; 1.6 Special terms concerning zero/infinity; 1.6.1 Zero for blast; 1.6.2 Ground zero; 1.6.3 Zero hour; 1.7 Digital display A 7-segment display; 1.8 Division by exact zero and nonexact zero
1.8.1 z/0 = 0 for any z?2 Zero a landmark discovery, the dreadful void, and the ultimate mind: Why; 2.1 A landmark discovery; 2.2 The dreadful void!; 2.2.1 True incident in the life of Swami Vivekananda in 1881; 2.3 The ultimate mind; 2.3.1 Nirvikalpa Samadhi and Bose-Einstein condensate; 2.3.2 Swami Vivekananda in the making; 2.3.3 Swami Vivekananda attaining NS; 2.3.4 Meerut incident; 2.3.5 State of NS and that of zero kinetic energy: equivalence; 2.3.6 Deep sleep; 2.3.7 Experience: natural versus artificial; 2.3.8 Experiencing and not just knowing 2.3.9 Who is faster: man (living computer) or computer in reality?2.3.10 Neuronal system: natural versus artificial; 2.3.11 God is omnipresent, omnipotent, and omniscient while computer will never be; 2.3.12 Chaos-does it really exist in nature?; 2.3.13 How do we know 0 K which is not reachable?; 2.3.14 Experience is the proof; 2.3.15 Mind is the reservoir of endless knowledge; 2.3.16 Numerical zero versus mathematical zero; 2.3.17 Consciousness: natural versus machine; 2.3.18 Measuring manifestation of consciousness; 3 History of zero including its representation and role 3.1 7000-2000 BC: innovation of decimal number system that is universally used today3.1.1 Prelude; 3.1.2 Aryabhatta: use of decimals, zero, and place value system; 3.1.3 The Maya numbers and Long Count; 3.2 2000 BC-1000 AD: zero reached its full development along with representation and arithmetic operations; 3.2.1 Representation of nothingness-an important need toward progress; 3.2.2 Zero as a number used by Indians; 3.2.2.1 Bhaskara II's Siddhanta Siromani: used zero of today; 3.2.2.2 Sarvanandi's Lokavibhaga: reference to zero in Jain work 3.2.2.9 Gotama Siddha's Kai yuan zhan jing: Symbol zero, place-value system, and Indian method of computation |
| Record Nr. | UNINA-9910822606803321 |
|
Sen Syamal K.
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||
| London : , : Elsevier, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||