Lecture on Mochizuki’s anabeloids Motivation: Assume k = C, X is a hyperbolic curve over C (smooth of genus g with r deleted points such that 2g − 2 + r > 0. e → X. It is known that X ∼ Consider the universal co

Source URL: www.maths.nottingham.ac.uk

• Algebraic topology
• Algebraic geometry
• Category theory
• Homotopy theory
• Scheme theory
• tale fundamental group
• tale morphism
• Morphism
• Category
• Sheaf
• Functor
• Covering space

The Intrinsic Hodge Theory of p-adic Hyperbolic Curves Shinichi Mochizuki Research Institute for Mathematical Sciences Kyoto University

Source URL: www.kurims.kyoto-u.ac.jp

• Algebraic geometry
• Homological algebra
• Number theory
• Algebraic surfaces
• Analytic number theory
• Elliptic curve
• Prime number
• Abelian variety
• P-adic number
• Algebraic curve
• Motive

Eureka Math™ Tips for Parents Grade 5 Module 6 New Terms in this Module:

Source URL: greatminds.net

• Analytic geometry
• Coordinate systems
• Dimension
• Elementary mathematics
• Cartesian coordinate system
• Two-dimensional space
• Ordinate
• Graph of a function
• Line
• Coordinate systems for the hyperbolic plane

Preface to Shadows of Reality, The Fourth Dimension in Relativity, Cubism, ad Modern Thought A Yale University Book, 2006 We walk in the here and now, but is there a space beyond, a space that impinges on our own infinit

Source URL: tonyrobbin.net

• Projective geometry
• Four-dimensional space
• Dimension
• Homography
• Geometry
• Point at infinity
• Homogeneous coordinates
• Space
• Projection
• Planar projection
• Hyperbolic geometry

1 DRAFT Currently under revision For Presentation at the Western Regional Science Association meeting, Hawaii, February 1997

Source URL: www.geog.ucsb.edu

• Differential geometry of surfaces
• Differential geometry
• Surfaces
• Curvature
• Carl Friedrich Gauss
• Gaussian curvature
• First fundamental form
• Pi
• Parametric surface
• Hyperbolic geometry

$SPAD/input schaum30.input Timothy Daly June 15, 2008 1

Source URL: axiom-developer.org

• Hyperbolic geometry
• Exponentials
• Hyperbolic function
• Inverse hyperbolic function
• Tanh-sinh quadrature
• Bending of plates

4. Hyperbolic Geometry 4.1 The three geometries Here we will look at the basic ideas of hyperbolic geometry including the ideas of lines, distance, angle, angle sum, area and the isometry group and Þnally the construct

Source URL: www.tilings.org

QUASICONFORMAL HOMOGENEITY OF HYPERBOLIC MANIFOLDS PETRA BONFERT-TAYLOR, RICHARD D. CANARY, GAVEN MARTIN, AND EDWARD TAYLOR Abstract. We exhibit strong constraints on the geometry and topology of a uniformly quasiconform

Source URL: www.math.lsa.umich.edu

RAD-16-NS1 THE BREAKDOWN OF EFFECTIVE MEDIUM THEORY IN MULTILAYERED HYPERBOLIC MATERIALS Richard Z. Zhang and Zhuomin M. Zhang* George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlant

Source URL: abstract.ichmt.org

• Physics
• Optics
• Metamaterials
• Nature
• Electromagnetism
• Nanomaterials
• Science
• Superlens
• Effective medium approximations
• Refraction
• Negative refraction
• Wavelength

Jasymca - Symbolic Calculator for Mobile Devices Helmut Dersch March 7, 2006 Abstract Jasymca is a symbolic calculator written for mobile phones and PDAs.

Source URL: webuser.fh-furtwangen.de

• Mathematical analysis
• Computing
• Mathematics
• Analytic functions
• Exponentials
• Find
• Trigonometric functions
• Hyperbolic function
• Q
• Greatest common divisor
• Exponentiation
• Conditional