Journal ArticleDOI
Review: The Geometry of Spacetime: an Introduction to Special and General Relativity
TLDR
In this article, the authors discuss the relation between Relativity before 1905 and special Relativity-Kinematics and its kinetics, including Arbitrary Frames, Surfaces and Curvature, and Intrinsic Geometry.Abstract:
1 Relativity Before 1905.- 2 Special Relativity-Kinematics.- 3 Special Relativity-Kinetics.- 4 Arbitrary Frames.- 5 Surfaces and Curvature.- 6 Intrinsic Geometry.- 7 General Relativity.- 8 Consequences.read more
Citations
More filters
Journal ArticleDOI
Shannon-kotel-nikov mappings in joint source-channel coding
TL;DR: A general theory for 1:N and M:1 dimension changing mappings is presented, and two examples for a Gaussian source and channel are provided where both a 2:1 bandwidth-reducing and a 1:2 bandwidth-expanding mapping are optimized.
Proceedings ArticleDOI
Dimension Reducing Mappings in Joint Source-Channel Coding
Pal Anders Floor,Tor A. Ramstad +1 more
TL;DR: This paper develops some theory for noise influence in M:N dimension reducing systems and practical examples of 2:1, 3: 1, 4:1 and 3:2 systems will be given.
Journal ArticleDOI
General relativity in the undergraduate physics curriculum
TL;DR: In this article, the authors make the case for a physics first approach to introducing general relativity to undergraduate physics majors, arguing that general relativity is increasingly important in contemporary physics on the frontiers of very large distance scales and very small length scales (elementary particle physics).
Dissertation
On the Theory of Shannon-Kotel'nikov Mappings in Joint Source-Channel Coding
TL;DR: An approach to joint source-channel coding using direct source to channel mappings as a function of the channel signal-to-noise ratio is studied and a theory for determining and categorizing the distortion using SK-mappings for communication is introduced and developed.
Proceedings ArticleDOI
Noise Analysis for Dimension Expanding Mappings in Source-Channel Coding
Pal Anders Floor,Tor A. Ramstad +1 more
TL;DR: Kotel'nikov's theory on 1:N bandwidth expanding modulation systems is generalized to M:N dimension expanding mappings (M < N), to be able to consider more general mappings and exploit dimensionality.
References
More filters
Journal ArticleDOI
Shannon-kotel-nikov mappings in joint source-channel coding
TL;DR: A general theory for 1:N and M:1 dimension changing mappings is presented, and two examples for a Gaussian source and channel are provided where both a 2:1 bandwidth-reducing and a 1:2 bandwidth-expanding mapping are optimized.
Journal ArticleDOI
General relativity in the undergraduate physics curriculum
TL;DR: In this article, the authors make the case for a physics first approach to introducing general relativity to undergraduate physics majors, arguing that general relativity is increasingly important in contemporary physics on the frontiers of very large distance scales and very small length scales (elementary particle physics).
Dissertation
On the Theory of Shannon-Kotel'nikov Mappings in Joint Source-Channel Coding
TL;DR: An approach to joint source-channel coding using direct source to channel mappings as a function of the channel signal-to-noise ratio is studied and a theory for determining and categorizing the distortion using SK-mappings for communication is introduced and developed.
Proceedings ArticleDOI
Noise Analysis for Dimension Expanding Mappings in Source-Channel Coding
Pal Anders Floor,Tor A. Ramstad +1 more
TL;DR: Kotel'nikov's theory on 1:N bandwidth expanding modulation systems is generalized to M:N dimension expanding mappings (M < N), to be able to consider more general mappings and exploit dimensionality.
Book
Loop group methods for constant mean curvature surfaces
TL;DR: In this article, an elementary introduction to a method for studying harmonic maps into symmetric spaces, and in particular for studying constant mean curvature (CMC) surfaces, was developed by Dorfmeister, F. Pedit and H. Wu.