Lecture notes: Cosmology

Lecture notes: Cosmology Luca Amendola University of Heidelberg ... use of concepts from General Relativity and some basic astronomy. All the concepts will be introduced in a ... • This chapter recalls concepts of Special and General Relativity. The readers might skip it, at the cost

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The WKB approximation - Heidelberg University

which will bring us aryv close to the true solution after a large enough n. 1.3 Derivation of WKB We assume that the solution to equation 1 is given by (x) = eiu(x) (9) with u(x) an unknown complex function. Substituting it in 1, we get the following equation of u(x): iu00(x) u0(x)2 + k(x)2 = 0 (10) Now we sovle this ODE with the succesive ...

A Matlab Toolbox For Thermodynamic Property Evaluation

2 Ideal Gases Incompressible Substances Compressible Substances Each substance has its own mathematical models used to evaluated the properties. For ideal gases the first of these models is the ideal gas law Pv RT (1) For the remaining properties we may use u - u o = cv dT = cP - R dT (2) h -h = c dT o P (3) dP P R dT - T c s -s = P o

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Lecture 1 – Introduction to Ecology

Sustainability – a property of human society in which ecosystems (including humans) ... Numerical models of the growth of individual populations ... sun?” and “Under the thermodynamic conditions of the biosphere, water is a powerful chemical agent...” but on a dead Earth, water is “...a compound of weak chemical activity?” ...

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NIST/ASME Steam Properties—STEAM

The IAPWS water/steam property models are implemented in a suite of FORTRAN subroutines. They are written in a structured format, are internally documented with extensive comments, and have been tested on a variety of compilers. Routines are provided to calculate thermodynamic and transport properties at a given (T,ρ) state.

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Thermodynamic Models & Physical Properties

Electrolyte NRTL, and Scatchard Hildebrand models. In these models, the activity coefficient approach is used to calculate the liquid properties, while the vapor phase properties are calculated using an equation of state. 4. Other Models: There are still many other property models available through Aspen Plus.

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Diffusion Probabilistic Models for 3D Point Cloud Generation

learning generative models for point clouds is quite chal-lenging. Prior research has explored point cloud generation via GANs [1, 22, 19], auto-regressive models [21], flow-based models [25] and so on. While remarkable progress has been made, these methods have some inherent limita-tions for modeling point clouds. For instance, the training

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Chemkin Theory Manual - Pennsylvania State University

17.0 Chemkin Theory Manual Chemkin® Software CK-THE-15151-1601-UG-1 January 2016

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CoolPack tutorial - IPU

CoolPack tutorial Page 6 The group EESCoolTools contains a large collection of programs for both refrigeration systems and components. We have chosen to divide this group into four subgroups as shown on Figure 2.2. The groups also represent the four phases of designing a refrigeration system.

On the black hole/string transition

On the black hole/string transition Yiming Chen1, Juan Maldacena2 and Edward Witten2 1 Jadwin Hall, Princeton University, Princeton, New Jersey, USA 2 Institute for Advanced Study, Princeton, New Jersey, USA Abstract We discuss aspects of the possible transition between small black holes and highly ex-