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Essentially Strictly Differentiable Lipschitz Functions
 J. FUNCTIONAL ANALYSIS
, 1995
"... In this paper we address some of the most fundamental questions regarding the differentiability structure of locally Lipschitz functions defined on Banach spaces. For example, we examine the relationship between integrability, Drepresentability and strict differentiability. In addition to this, we ..."
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Cited by 6 (4 self)
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In this paper we address some of the most fundamental questions regarding the differentiability structure of locally Lipschitz functions defined on Banach spaces. For example, we examine the relationship between integrability, Drepresentability and strict differentiability. In addition to this, we
A chain rule for essentially strictly differentiable Lipschitz functions
, 1996
"... In this paper we introduce a new class of realvalued locally Lipschitz functions, (that are similar in nature and definition to Valadier's saine functions) which we call arcwise essentially smooth, and we show that if g : R n ! R is arcwise essentially smooth on R n and each function f ..."
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Cited by 3 (2 self)
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f j : R m ! R; 1 j n is strictly differentiable almost everywhere in R m , then g ffi f is strictly differentiable almost everywhere in R m , where f j (f 1 ; f 2 ; :::f n ). We also show that all the semismooth and pseudoregular functions are arcwise essentially smooth. Thus, we provide
The embryonic cell lineage of the nematode Caenorhabditis elegans
 Dev. Biol
, 1983
"... The number of nongonadal nuclei in the freeliving soil nematode Caenorhabditis elegans increases from about 550 in the newly hatched larva to about 810 in the mature hermaphrodite and to about 970 in the mature male. The pattern of cell divisions which leads to this increase is essentially invarian ..."
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Cited by 540 (19 self)
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invariant among individuals; rigidly determined cell lineages generate a fixed number of progeny cells of strictly specified fates. These lineages range in length from one to eight sequential divisions and lead to significant developmental changes in the neuronal, muscular, hypodermal, and digestive systems
Strict Monotonicity in Comparative Statics
, 1997
"... This paper provides sufficient conditions to draw strict monotone comparative statics conclusions in optimization problems. These results extend the latticetheoretic results of Milgrom and Shannon (1994) by imposing a stronger differential version of the single crossing property and arguing from fi ..."
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Cited by 263 (1 self)
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This paper provides sufficient conditions to draw strict monotone comparative statics conclusions in optimization problems. These results extend the latticetheoretic results of Milgrom and Shannon (1994) by imposing a stronger differential version of the single crossing property and arguing from
STRICT AND NONSTRICT INEQUALITIES FOR IMPLICIT FIRST ORDER CAUSAL DIFFERENTIAL EQUATIONS
"... Abstract. In this paper, some fundamental strict and nonstrict differential inequalities for the implicit perturbations of nonlinear first order ordinary causal differential equations have been established. 1. ..."
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Abstract. In this paper, some fundamental strict and nonstrict differential inequalities for the implicit perturbations of nonlinear first order ordinary causal differential equations have been established. 1.
The Asymptotic Elasticity of Utility Functions and Optimal Investment in Incomplete Markets
 Annals of Applied Probability
, 1997
"... . The paper studies the problem of maximizing the expected utility of terminal wealth in the framework of a general incomplete semimartingale model of a financial market. We show that the necessary and sufficient condition on a utility function for the validity of several key assertions of the theor ..."
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Cited by 264 (19 self)
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of the theory to hold true is the requirement that the asymptotic elasticity of the utility function is strictly less then one. 1. Introduction A basic problem of mathematical finance is the problem of an economic agent, who invests in a financial market so as to maximize the expected utility of his terminal
Proportional Differentiated Services: Delay Differentiation and Packet Scheduling
 IEEE/ACM Transactions on Networking
, 1999
"... The proportional differentiation model provides the network operator with the `tuning knobs' for adjusting the perhop qualityofservice (QoS) ratios between classes, independent of the class loads. This paper applies the proportional model in the differentiation of queueing delays, and invest ..."
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Cited by 188 (6 self)
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The proportional differentiation model provides the network operator with the `tuning knobs' for adjusting the perhop qualityofservice (QoS) ratios between classes, independent of the class loads. This paper applies the proportional model in the differentiation of queueing delays
ADOLC: A Package for the Automatic Differentiation of Algorithms Written in C/C++
, 1995
"... The C++ package ADOLC described here facilitates the evaluation of first and higher derivatives of vector functions that are defined by computer programs written in C or C++. The resulting derivative evaluation routines may be called from C/C++, Fortran, or any other language that can be linked ..."
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Cited by 190 (26 self)
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differential equations, special routines are provided that evaluate the Taylor coefficient vectors and their Jacobians with respect to the current state vector. The derivative calculations involve a possibly substantial (but always predictable) amount of data that are accessed strictly sequentially
Random walks on strict partitions
"... We consider a certain sequence of random walks. The state space of the nth random walk is the set of all strict partitions of n (that is, partitions without equal parts). We prove that, as n goes to infinity, these random walks converge to a continuoustime Markov process. The state space of this pr ..."
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Cited by 2 (1 self)
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We consider a certain sequence of random walks. The state space of the nth random walk is the set of all strict partitions of n (that is, partitions without equal parts). We prove that, as n goes to infinity, these random walks converge to a continuoustime Markov process. The state space
A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws
 IEEE Transactions on Automatic Control
, 2007
"... Abstractâ€”We present a strict Lyapunov function for hyperbolic systems of conservation laws that can be diagonalized with Riemann invariants. The time derivative of this Lyapunov function can be made strictly negative definite by an appropriate choice of the boundary conditions. It is shown that the ..."
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Cited by 63 (10 self)
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Abstractâ€”We present a strict Lyapunov function for hyperbolic systems of conservation laws that can be diagonalized with Riemann invariants. The time derivative of this Lyapunov function can be made strictly negative definite by an appropriate choice of the boundary conditions. It is shown
Results 1  10
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1,566