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An optimal dividends problem with a terminal value for spectrally
An optimal dividends problem with a terminal value for spectrally

... (i) If σ > 0, or ν(0, ∞) = ∞, or ν(0, ∞) < ∞ and S ≤ c/q, then an optimal strategy for the control problem is formed by a barrier strategy. (ii) If σ = 0 and ν(0, ∞) < ∞ and S > c/q, then the take-the-money-and-run strategy is an optimal strategy for the control problem. Note that the parameter c is ...
Chapter 1.3
Chapter 1.3

Functions - UCSD Mathematics
Functions - UCSD Mathematics

... Since one line notation is a simple, brief way to specify functions, we’ll use it frequently. If the domain is not a set of numbers, the notation is poor because we must first pause and order the domain. There are other ways to write functions which overcome this problem. For example, we could write ...
Primitive Recursion Chapter 2
Primitive Recursion Chapter 2

Document
Document

Graph exponential functions.
Graph exponential functions.

... The king went broke trying to reward the inventor. But the point of this story is that this new function f(x) = 2x ("2 raised to the exponent x", or "2 to the x") is very different from the polynomial function g(x) = x2. Example 1. Comparing f(x) = 2x and g(x) = x2 Compare the graphs of f(x) = 2x an ...
Section 3.1
Section 3.1

A MEMBERSHIP FUNCTION SOLUTION APPROACH TO FUZZY QUEUE WITH ERLANG SERVICE MODEL Author: V.Ashok Kumar
A MEMBERSHIP FUNCTION SOLUTION APPROACH TO FUZZY QUEUE WITH ERLANG SERVICE MODEL Author: V.Ashok Kumar

... such that y = t 4 y αL  (1 – t 4 )y αU , x αL  x  x αU and t4 = 0 or 1 where x αL  y αL . From the knowledge of calculus, a unique minimum and a unique maximum of the objective function of models (5), (6), (7) and (8) are assumed, which shows that the lower bound (Lq) αL and upper bound (Lq) αU ...
Extrema on an Interval
Extrema on an Interval

ANOTHER NOTE ON LEVINE`S DECOMPOSITION OF CONTINUITY
ANOTHER NOTE ON LEVINE`S DECOMPOSITION OF CONTINUITY

Logarithmic Functions
Logarithmic Functions

universal functions - Muskingum University
universal functions - Muskingum University

... A universal function is a function whose behavior on an interval (or part of its graph) is "like any" continuous function you might select. Think of it as a single function that can be used to describe all other functions. The Universal Function we will construct in this presentation will be a funct ...
The untyped Lambda Calculus
The untyped Lambda Calculus

Untitled - Purdue Math
Untitled - Purdue Math

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Document

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PDF

Lecture 5 - Electrical and Computer Engineering Department
Lecture 5 - Electrical and Computer Engineering Department

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Document

... point x = 0 – in the sense of definition 2, it is not increasing (neither weakly nor strictly) increasing in any interval containing the zero point – in the sense of definition 1. In the neighborhood of this point it is a densifying sinusoid placed between the line passing through the origin of the ...
Honors Algebra 2 A Semester Exam Review 2015–2016
Honors Algebra 2 A Semester Exam Review 2015–2016

8-1 Attributes of Polynomial Functions
8-1 Attributes of Polynomial Functions

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Review

... Page 10 ...
Algebra 2 A Semester Exam Review 2015–2016
Algebra 2 A Semester Exam Review 2015–2016

Too Risk-Averse for Prospect Theory?
Too Risk-Averse for Prospect Theory?

... may be more appealing. The effect shown in the data of Tversky and Kahneman, becomes even more visible when we consider lotteries where the probability p for the higher outcome is very large, and at the same time A is relatively small. We encountered this problem in data with N = 5,185 undergraduate ...
linear function
linear function

... Problem of the Day Take the first 20 terms of the geometric sequence 1, 2, 4, 8, 16, 32, . . . .Why can’t you put those 20 numbers into two groups such that each group has the same sum? All the numbers except 1 are even, so the sum of the 20 numbers is odd and cannot be divided into two equal intege ...
Euler`s constant as a renormalized value
Euler`s constant as a renormalized value

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Dirac delta function

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