A Note on the Identity Element in a Function Space
Journal Title: Scholars Journal of Physics, Mathematics and Statistics - Year 2015, Vol 2, Issue 3
Abstract
This note demonstrates that the identity element in appropriately defined function spaces is weakly compact, but not compact; and bounded, but not weakly compact.
Authors and Affiliations
Richard P. Rozek, Ph. D.
Keywords
Related Articles
- EP ID EP384799
- DOI -
- Views 87
- Downloads 0
The Digital Features of the Function of Order Statistics
In this paper, we deduce the digital features of the function of order statistics by the probability density function of order statistics and the properties of the Euler integral.
Comparative Study on Attitude towards Statistics for Business Undergraduates
The purpose of this study is to compare the attitudes towards statistics for business course for undergraduate students. Data were collected from 250 students for pretest study while 255 students from the posttest who we...
Adaptive Learning Rate SGD AlgorithmforSVM
Stochastic gradient descent (SGD) is a simple and effective algorithm for solving the optimization problem of support vector machine, where each iteration operates on a single training example. The run-time of SGD does n...
Observation on the Binary Quadratic Equation 3x2-8xy+3y2+2x+2y+6=0
The binary quadratic equation is studied for its non-trivial integral solutions. The recurrence relations satisfied by the solutions x and y are given. A few interesting properties among the solutions are presented.
On the Integral Points of the Bi-Quadratic Equation with Four Unknowns (x-y)(x^2+y^2 )+(x^2-xy+y^2 )z=12zw^3
The Bi-quadratic Equation with four unknowns given by (x-y)(x^2+y^2 )+(x^2-xy+y^2 )z=12zw^3 is analyzed for its patterns of non –zero distinct integral solutions. A few interesting relations between the solutions and sp...