Hyperbolic - PowerPoint PPT Presentation


Hyperbolic Functions and Their Inverses

This content delves into the world of hyperbolic functions, discussing their formation from exponential functions, identities, derivatives, and inverse hyperbolic functions. The text explores crucial concepts such as hyperbolic trigonometric identities, derivatives of hyperbolic functions, and integ

1 views • 9 slides


Enzyme Kinetics for Understanding Chemical Reactions

Enzyme kinetics is a vital discipline focusing on the rate of enzyme-catalyzed reactions and how they respond to varying conditions. Reactions are classified based on reactant concentration influences. Zero, first, second, and third order reactions are distinguished, with examples like first-order r

0 views • 31 slides



Hyperbolic Geometry and Tiling Patterns

Dive into the fascinating world of hyperbolic geometry, where angles in a triangle are less than 180 degrees and tilings exhibit negative curvature. Discover the beauty of the Hyperbolic Plane and learn about regular hyperbolic tilings characterized by Schlafli Symbols. Explore different models like

0 views • 46 slides


Introduction to Matlab: Features and Program Structure

Matlab offers a simple calculator-like syntax with a strong library of functions for numerical analysis and extensive toolboxes for various fields. It is a universally recognized language in engineering with open-source options available. The program structure includes functions, conditionals, loopi

0 views • 7 slides


Analysis of John Donne's Poem "The Sunne Rising

John Donne's poem "The Sunne Rising" humorously portrays a lover chiding the sun for interrupting his time with his beloved. The speaker asserts that love transcends time and space, elevating his relationship to a cosmic importance. Through hyperbolic assertions, Donne explores the intense subjectiv

3 views • 8 slides


Intertemporal Choice and Behavioral Economics Overview

Explore present-focused models, empirical regularities, and open questions related to intertemporal choice in behavioral economics. Concepts like hyperbolic discounting, dual-self models, psychometric distortions, and myopia are discussed using insights from prominent figures like David Hume, Plato,

0 views • 37 slides


Different Geometries and Parallel Postulates

Explore the realms of Euclidean, Hyperbolic, and Elliptic geometries along with their unique characteristics, axioms, and the implications of the parallel postulates. Delve into the distinctions between these geometries and the intriguing concept of mixing Euclidean and Hyperbolic geometries within

1 views • 6 slides


Low Frequencies for Inversion of Reflections

Exploring the use of low frequencies for inversion of reflections in seismic data processing. The presentation covers motivations for tau-p inversion, direct and indirect methods, and discusses the transformation of hyperbolic reflections into ellipses. Various inversion techniques, applications in

0 views • 15 slides


Finite Groups on Compact Surfaces with Boundaries

Illustrating the concept of finite group structures on compact surfaces with boundaries, this presentation showcases transformations, orientations, and color-coding used to represent group elements. By identifying regions in the hyperbolic plane and applying inversions, the images provide insights i

2 views • 28 slides


Developing Pure Julia Codes for Elementary Functions in MIT's 18.337 Course

Mustafa Mohamad from MIT's Department of Mechanical Engineering teaches the Fall 2016 course on developing pure Julia codes for elementary functions. The focus is on functions like Trigonometric (sin, cos, tan, etc.), Hyperbolic (sinh, cosh, tanh, etc.), Exponential and Logarithmic, and Floating-Poi

0 views • 19 slides


Change Coordinate

This content covers various topics in mathematics such as coordinate systems, vector transformations, equations of ellipses, and hyperbolas. It delves into the concepts of basis vectors, matrix-vector products, and different coordinate systems like Cartesian and other systems. Explore the methods to

0 views • 12 slides


Hyperbolic Discounting and Impatience in Decision Making

This content delves into the concept of hyperbolic discounting, explaining how individuals often prioritize present happiness over future rewards. It explores examples of discount rates, comparing the patience levels of individuals like Alice and Bob. The discussion leads to insights on patience, im

0 views • 50 slides


Elliptic & Hyperbolic Pencile of Circles Lecture 12

The lecture discusses elliptic and hyperbolic pencil of circles, equal power of a point, radical axis, coaxial circles, and more concepts in geometry. It covers how to find radical axis for circles, properties of elliptic and hyperbolic pencil of circles, and the equations to define elliptic circles

0 views • 11 slides


Passive Location Methodology for IEEE 802.11az

Explore the passive ranging case for 802.11az, focusing on scheduling methodology, multi-user, and multi-antenna ranging. Learn about using anchor stations and hyperbolic navigation for passive location in WiFi-enabled environments.

0 views • 30 slides


Efficient Positioning Method for Dense Multi-User Scenarios

Discover a novel method for positioning in dense multi-user scenarios to minimize transmissions. Explore extensions for infrastructure-centric localization like secure geo-fencing. Overcome limitations in localization with the proposed hyperbolic navigation and sequential transmission solutions.

0 views • 14 slides