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Luminosity functions are used to study the properties of large groups or classes of objects, such as the stars in clusters or the galaxies in the Local Group. Note that the term "function" is slightly misleading, and the luminosity function might better be described as a luminosity distribution. Given a luminosity as input, the luminosity ...
The Press–Schechter formalism predicts that the number of objects with mass between and + is: = (+) ¯ (+) / (() (+) /). where is the index of the power spectrum of the fluctuations in the early universe (), ¯ is the mean (baryonic and dark) matter density of the universe at the time the fluctuation from which the object was formed had gravitationally collapsed, and is a cut-off mass ...
Paul L. Schechter (born May 30, 1948) is an American astronomer and observational cosmologist. He is the William A. M. Burden Professor of Astrophysics, Emeritus, at MIT . Schechter received his bachelor's degree from Cornell in 1968, and his Ph.D. degree from Caltech in 1975.
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, inner product, norm, or topology) and the linear functions defined on these spaces and suitably respecting these structures.
For example, in 1973, Darley and Batson conducted a study where they asked students at a seminary school to give a presentation in a separate building. They gave each individual participant a topic, and would then tell a participant that they were supposed to be there immediately, or in a few minutes, and sent them on their way to the building.
For example, the position of an object x in the situation s is represented by the value of (,), where location is a function. Statements about such functions can be given using equality: l o c a t i o n ( x , s ) = l o c a t i o n ( x , s ′ ) {\displaystyle location(x,s)=location(x,s')} means that the location of the object x is the same in ...
You invest $100,000 in a rental home with a friend to be used as a passive income generator. Ten years later, the principal mortgage is paid off and the investment is worth $150,000. You’re ...
Dynamic decision making research uses computer simulations which are laboratory analogues for real-life situations. These computer simulations are also called “microworlds” [4] and are used to examine people's behavior in simulated real world settings where people typically try to control a complex system where later decisions are affected by earlier decisions. [5]