“…The radiography and computed tomography (CT) scan showed calculus in the left pelvic kidney. Postoperative stone analysis revealed that the stones were mainly composed of cystine. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…This analysis captured a large Hispanic population, specifically in the South and West regions. Gallbladder calculus and cholecystitis were more likely to occur in females. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The mean stone density in patients whose stones were cleared was significantly lower (661 vs. 1001) (P<0.001). Estimating renal calculus (or kidney stone) density on a native CT scan might help prognosticate ESWL treatment outcomes regarding stone clearance rates and the number of sessions required to clear a stone.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…NEED FOR QUANTUM MECHANICS AND ITS PHYSICAL BASIS Inadequacy of Classical Description for Small Systems Basis of Quantum Mechanics Representation of States Dual Vectors: Bra and Ket Vectors Linear Operators Adjoint of a Linear Operator Eigenvalues and Eigenvectors of a Linear Operator Physical Interpretation Observables and Completeness Criterion Commutativity and Compatibility of Observables Position and Momentum Commutation Relations Commutation Relation and the Uncertainty ProductAppendix: Basic Concepts in Classical MechanicsREPRESENTATION THEORY Meaning of Representation How to Set up a Representation Representatives of a Linear Operator Change of Representation Coordinate Representation Replacement of Momentum Observable p by -ih d/dqIntegral Representation of Dirac Bracket A2|F|A1> The Momentum Representation Dirac Delta FunctionRelation between the Coordinate and Momentum RepresentationsEQUATIONS OF MOTIONSchrödinger Equation of Motion Schrödinger Equation in the Coordinate Representation Equation of Continuity Stationary States Time-Independent Schrödinger Equation in the Coordinate Representation Time-Independent Schrödinger Equation in the Momentum Representation Time-Independent Schrödinger Equation in Matrix Form The Heisenberg Picture The Interaction Picture Appendix: MatricesPROBLEMS OF ONE-DIMENSIONAL POTENTIAL BARRIERS Motion of a Particle across a Potential Step Passage of a Particle through a Potential Barrier of Finite Extent Tunneling of a Particle through a Potential Barrier Bound States in a One-Dimensional Square Potential Well Motion of a Particle in a Periodic PotentialBOUND STATES OF SIMPLE SYSTEMS Introduction Motion of a Particle in a Box Simple Harmonic Oscillator Operator Formulation of the Simple Harmonic Oscillator Problem Bound State of a Two-Particle System with Central Interaction Bound States of Hydrogen (or Hydrogen-Like) Atoms The Deuteron Problem Energy Levels in a Three-Dimensional Square Well: General Case Energy Levels in an Isotropic Harmonic Potential Well Appendix 1: Special FunctionsAppendix 2: Orthogonal Curvilinear Coordinate SystemsSYMMETRIES AND CONSERVATION LAWS Symmetries and Their Group Properties Symmetries in a Quantum Mechanical System Basic Symmetry Groups of the Hamiltonian and Conservation Laws Lie Groups and Their Generators Examples of Lie Group Appendix 1: Groups and RepresentationsANGULAR MOMENTUM IN QUANTUM MECHANICS Introduction Raising and Lowering Operators Matrix Representation of Angular Momentum Operators Matrix Representation of Eigenstates of Angular Momentum Coordinate Representation of Orbital Angular Momentum Operators and States General Rotation Group and Rotation Matrices Coupling of Two Angular Momenta Properties of Clebsch-Gordan Coefficients Coupling of Three Angular Momenta Coupling of Four Angular Momenta (L - S and j - j Coupling)APPROXIMATION METHODS Introduction Nondegenerate Time-Independent Perturbation Theory Time-Independent Degenerate Perturbation Theory The Zeeman Effect WKBJ Approximation Particle in a Potential Well Application of WKBJ Approximation to a-decay The Variational Method The Problem of the Hydrogen Molecule System of n Identical Particles: Symmetric and Antisymmetric States Excited States of the Helium Atom Statistical (Thomas-Fermi) Model of the Atom Hartree's Self-consistent Field Method for Multi-Electron Atoms Hartree-Fock Equations Occupation Number RepresentationQUANTUM THEORY OF SCATTERING Introduction Laboratory and Center-of-Mass (CM) Reference Frames Scattering Equation and the Scattering AmplitudePartial Waves and Phase Shifts Calculation of Phase Shift Phase Shifts for Some Simple Potential Forms Scattering due to Coulomb Potential The Integral Form of Scattering Equation Lippmann-Schwinger Equation and the Transition Operator Born Expansion Appendix: The Calculus of ResiduesTIME-DEPENDENT PERTURBATION METHODS Introduction Perturbation Constant over an Interval of Time Harmonic Perturbation: Semiclassical Theory of Radiation Einstein Coeffcients Multipole Transitions Electric Dipole Transitions in Atoms and Selection Rules Photo-Electric Effect Sudden and Adiabatic Approximations Second-Order EffectsTHE THREE-BODY PROBLEM Introduction Eyges Approach Mitra's Approach Faddeev's Approach Faddeev Equations in Momentum Representation Faddeev Equations for a Three-Body Bound System Alt, Grassberger, and Sandhas (AGS) EquationsRELATIVISTIC QUANTUM MECHANICS Introduction Dirac Equation Spin of the Electron Free Particle (Plane Wave) Solutions of Dirac Equation Dirac Equation for a Zero Mass Particle Zitterbewegung and Negative Energy Solutions Dirac Equation for an Electron in an Electromagnetic FieldInvariance of Dirac Equation Dirac Bilinear Covariants Dirac Electron in a Spherically Symmetric Potential Charge Conjugation, Parity, and Time-Reversal Invariance Appendix: Theory of Special RelativityQUANTIZATION OF RADIATION FIELD Introduction Radiation Field as a Swarm of Oscillators Quantization of Radiation Field Interaction of Matter with Quantized Radiation Field Applications Bethe's Treatment of Atomic Level Shift Due to the Self Energy of the Electron: (Lamb-Retherford Shift)Compton Scattering Appendix: Electromagnetic Field in Coulomb GaugeSECOND QUANTIZATION Introduction Classical Concept of Field Analogy of Field and Particle Mechanics Field Equations from Lagrangian DensityQuantization of a Real Scalar (KG) Field Quantization of Complex Scalar (KG) Field Dirac Field and Its Quantization Positron Operators and SpinorsInteracting Fields and the Covariant Perturbation Theory Second-Order Processes in Electrodynamics Amplitude for Compton Scattering Feynman Graphs Calculation of the Cross-Section of Compton Scattering Cross-Sections for Other Electromagnetic Processes Appendix 1: Calculus of Variation and Euler-Lagrange Equations Appendix 2: Functionals and Functional Derivatives Appendix 3: Interaction of the Electron and Radiation Fields Appendix 4: On the Convergence of Iterative Expansion of the S OperatorEPILOGUE Introduction Einstein-Podolsky-Rosen Gedanken Experiment Einstein-Podolsky-Rosen-Bohm Gedanken Experiment Theory of Hidden Variables and Bell's Inequality Clauser-Horne Form of Bell's Inequality and Its Violation in Two-Photon Correlation Experiments GENERAL REFERENCESINDEX.…”
Enlace del recurso

“…Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers. …”
Enlace del recurso

“…These projects will build robots able to complete tasks without human intervention. 5.Calculus: The most abstract of the sections contain robots with minimum knowledge of the external world. …”
Enlace del recurso

“…Suggested prerequisites are basic knowledge of statistics and probability, matrices and linear algebra, and calculus. There is an appendix on probability, statistics and linear algebra. …”
Enlace del recurso
Enlace del recurso

“…It is recommended that the reader have a background in calculus, linear algebra, numerical analysis, and computation. …”
Enlace del recurso
Enlace del recurso

“…Topics and Features: · Fourier series and transforms—fundamentally important in random signal analysis and processing—are developed from scratch, emphasizing the time-domain vs. frequency-domain duality; · Basic concepts of probability theory, laws of large numbers, the central limit theorem, and statistical parametric inference procedures are presented so that no prior knowledge of probability and statistics is required; the only prerequisite is a basic two–three semester calculus sequence; · Computer simulation algorithms of stationary random signals with a given power spectrum density; · Complementary bibliography for readers who wish to pursue the study of random signals in greater depth; · Many diverse examples and end-of-chapter problems and exercises. …”
Enlace del recurso
Enlace del recurso

“…To propose the suitable diameter of calculus debris produced during flexible ureteroscopy lithotripsy (fURL). …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…It was observed that there was a significant difference in calculus, debris, and dental caries scores in both groups, with significantly lower scores and better oral hygiene in patients without joint pain. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…DISCUSSION: In HIV care in low‐ and middle‐income countries (LMICs), potential behavioural economic strategies that may be utilized alone or in conjunction with more traditional approaches include using choice architecture to exploit status quo bias and reduce the effects of cognitive load, overcoming the impact of anchoring and availability bias through tailored clinical training and clinical mentoring, reducing the effects of present bias by changing the cost–benefit calculus of interventions with few short‐term benefits and leveraging social norms through peer comparison. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Electronic hydraulic lithotripsy was performed, but it took time for fragmentation because the calculus was hard. The 2‐h endoscopic procedure did not completely remove the stone, and treatment was discontinued after placing a biliary plastic stent and nasobiliary tube. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…CLINICAL DISCUSSION: Surgical intervention consisted of excising the impacted calculus to relieve the existing gastric outlet obstruction simultaneous to performing an uncut Roux-en-Y to treat the G-NET condition. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Red fluorophores synthesized by oral bacteria are important for fluorescence-based diagnosis and treatment because they are used as markers for bacterially infected tissue, mature plaque, or calculus. A range of porphyrins have been identified as the source of this fluorescence in carious tissue. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Materials and methods A prospective randomized controlled trial (RCT) was conducted at our department over 18 months, dividing 60 patients with a single renal or upper ureteric calculus of size ≤2.5 cm into two groups: 30 patients in each group (group 1: tubed PCNL, group 2: tubeless PCNL). …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Case 2 involved a 40-year-old man with 2 months history of epigastric pain radiating to the right shoulder. Calculus chronic cholecystitis was diagnosed by ultrasound. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…The proof, which does not require any analyticity assumptions, relies on three key ingredients: (1) a calculus of vertical tensor-fields developed for this setting; (2) a novel system of transport and wave equations for differences of metric and curvature quantities; and (3) recently established Carleman estimates for tensorial wave equations near the conformal boundary.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Various diffusion parameters derived from diffusion kurtosis (DK), stretched-exponential (SE), fractional-order calculus (FROC), and continuous-time random walk (CTRW) models, together with the conventional apparent diffusion coefficient (ADC) derived from the monoexponential model were calculated. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…RESULTS: The MR and meta-analyses indicated that COVID-19 was causally associated with increased risk for calculus of the lower urinary tract (LUTC, OR: 1.2984 per doubling in odds of COVID‐19, 95% CI: 1.0752–1.5680, p = 0.007) and sexual dysfunction (SD, OR: 1.0931, 95% CI: 1.0292–1.1610, p = 0.004). …”
Enlace del recurso
Enlace del recurso
Enlace del recurso