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Articles 25711 - 25740 of 27172
Full-Text Articles in Entire DC Network
Finite-Difference Approach To The Hodge Theory Of Harmonic Forms, Jozef Dodziuk
Finite-Difference Approach To The Hodge Theory Of Harmonic Forms, Jozef Dodziuk
Publications and Research
No abstract provided.
Scs 4: Note On Continuous Lattices, Dana S. Scott
Scs 4: Note On Continuous Lattices, Dana S. Scott
Seminar on Continuity in Semilattices
Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html
Fixed Point Theorems On Closed Sets Through Abstract Cones, V. Lakshmikantham, Jerome Eisenfeld
Fixed Point Theorems On Closed Sets Through Abstract Cones, V. Lakshmikantham, Jerome Eisenfeld
Mathematics Technical Papers - Archive
Let D be a closed subset of a complete metric space (X,p). We seek (i) conditions upon which a map T : D -> X has a fixed point in D and (ii) the construction of an iterative sequence whose limit is a fixed point in D. If X is a Banach space then a classical approach is to set G = I - T and use a numerical search method to minimize ||GX|| in D. Another approach, which does not require a Banach space structure, was recently introduced by Caristi and Kirk ([1],[2]). They prove that a metrically inward …
The Method Of Quasilinearization And Positivity Of Solutions In Abstract Cones, V. Lakshmikantham, Dolores D. Sety, A. Richard Mitchell
The Method Of Quasilinearization And Positivity Of Solutions In Abstract Cones, V. Lakshmikantham, Dolores D. Sety, A. Richard Mitchell
Mathematics Technical Papers - Archive
The method of quasilinearization was first introduced by Bellman (Ref. 1) and was developed further by Kalaba (Ref. 2). More detailed information concerning the method can be found in (Ref. 3). This method has been very useful in providing an analytic approach to obtain approximate solutions of non-linear equations, or more specifically, to derive upper and lower bounds for the solutions.
Price, Income, Interest In A Two Sector Model Of Agriculture And Non-Agriculture: A Theoretical And Empirical Analysis For Indian Economy., Pradip Maiti Dr.
Price, Income, Interest In A Two Sector Model Of Agriculture And Non-Agriculture: A Theoretical And Empirical Analysis For Indian Economy., Pradip Maiti Dr.
Doctoral Theses
A macroeconometric model seeks to portray the functioning of an economy at an aggregative level, i.e., in terms of important macrovariables and their interrelationships. The empirical counterpart of such a model is what is called a macroeconometric model when the macrorelations are posited statistically, employing probabilistic methods of estimation and/or hypothesis testing. The present study covers both aspects of a macromodel. On the theoretical side, it builds up a macroeconomic model which may be relevant for a country like India. On the empirical-statistical side, it goes on to formulate a macroeconometric model. There is a clear interdependence between these two …
Employment And Output Objectives In Project Selection., Basudeb Sen Dr.
Employment And Output Objectives In Project Selection., Basudeb Sen Dr.
Doctoral Theses
Alarmingly high and increasing rates of unemployment among the fast growing labour force has, in the recent years, becmne a serious threat to the social, political and economic envirorment in developing countries like India. Despite planned efforts at economic development, the percentage of unemployed in the labour force is estimated to have increased fron 9.0 per cent in 1962 to 1o.4 per cent in 1971 and 11.0 per cent in 1972 Dutt and Sundharam (1975) 7. Eradication of unemployme nt through creation of large-scale job opportuni ti es has come to establish itself as a major objective of the country. …
Contributions To The Theory Of Optimum Utilisation Of Auxiliary Information In Survey Sampling., V. N. Reddy Dr.
Contributions To The Theory Of Optimum Utilisation Of Auxiliary Information In Survey Sampling., V. N. Reddy Dr.
Doctoral Theses
The main problem of Survey sapling fron finite populations consista of devistng an appropriate procodure for solecting a rapresentative srple frøn a glven popalation and dornloping an apprepriate procedure for the estimation of the population parceeter of interest guch as po pulation nean or total or population ratto with a viev to naxinising the preofsion of the estinstor vithin the available resources of tino and ooat or 6iternati vely minimising the aost for achieving a giren level of prestsion, Towards the solution of this problen 1t is only during the thirties ond forties that a nore systematie develop- nant has …
System Of Imprimitivity For Ergodic Actions Of Locally Compact Abelian Groups., Joseph Mathew Dr.
System Of Imprimitivity For Ergodic Actions Of Locally Compact Abelian Groups., Joseph Mathew Dr.
Doctoral Theses
Mackeys theorem on inducud representation gives all the systems of imprimitivity for a locally compact second countable group G, acting in a separable Hilbert space and based on a transitive G-space X. These systems of imprimitivity are obtained from the unitary representationg of the closed subgroup H of G defining the transitive G-space X. The main tool for this study is a class of functions called cocycles. Maçkey showed that the (G, x) systems of imprimitivity are connected in a one-one way to unitary operator valued cocycles on GXX: This cocycle in turn gives a representation of the closed subgroup …
International Tea Economy:An Econometric Description., Samir K. Majumder Dr.
International Tea Economy:An Econometric Description., Samir K. Majumder Dr.
Doctoral Theses
No abstract provided.
Contribution To The Analysis Of Consumer Behaviour., Dipankor Coondoo Dr.
Contribution To The Analysis Of Consumer Behaviour., Dipankor Coondoo Dr.
Doctoral Theses
Studies on consumer behavicur : 4 surveyThis Chapter briefly reviews the methodology, implications and limitations of various approaches to empirical demand analysis and also sunmarises the important Indian contributions to this branch of econo- metric applications.The Hicks-Allen theory of consumer equil ibrium has been outlined first to indicate the nature of empirically ob servable restrictione that ensure consistent consumer behaviour in an essentially static world deal- ing solely with non-durable oommodities. The role of the assumption of separability of the utility function in quantitative applications has al so been stressed here. Finally, the sope and limitation of this theory has …
A Nonlinear Variation Of Constants Method For Integro-Differential And Integral Equations, M. E. Lord, Stephen R. Bernfeld
A Nonlinear Variation Of Constants Method For Integro-Differential And Integral Equations, M. E. Lord, Stephen R. Bernfeld
Mathematics Technical Papers - Archive
It is well known that a very important technique in obtaining the asymptotic behavior of solutions of linear and nonlinear ordinary differential equations under perturbations is through the use of the variation of constants formula (see [1] and [14]). Miller [16] used a well known representation formula for perturbed linear Volterra integral equations in terms of the resolvent which has been successfully used in recent years to analyze stability behavior of solutions (see, for example, [12] and [17] and references therein). In addition, Bownds and Cushing [4] obtained another variation of constants formula for linear integral equations utilizing a fundamental …
On The Construction Of A Norm Associated With The Measure Of Noncompactness, Stephen R. Bernfeld, V. Lakshmikantham, Jerome Eisenfeld
On The Construction Of A Norm Associated With The Measure Of Noncompactness, Stephen R. Bernfeld, V. Lakshmikantham, Jerome Eisenfeld
Mathematics Technical Papers - Archive
It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of noncompactness corresponds to the norm in B(E). The results are applied to ordinary differential equations theory.
Scs 3: Equationally Compact Sendos Are Retracts Of Compact Ones, Klaus Keimel, Karl Heinrich Hofmann
Scs 3: Equationally Compact Sendos Are Retracts Of Compact Ones, Klaus Keimel, Karl Heinrich Hofmann
Seminar on Continuity in Semilattices
Memo by Klaus Keimel, with a Remark by K.H. Hofmann, February 10, 1976.
Scs 1: More Notes On Spread, Jimmie D. Lawson
Scs 1: More Notes On Spread, Jimmie D. Lawson
Seminar on Continuity in Semilattices
Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html
Scs 2: Notes On Notes By Jdl (Concerning What He Calls The 'Spread'), Karl Heinrich Hofmann
Scs 2: Notes On Notes By Jdl (Concerning What He Calls The 'Spread'), Karl Heinrich Hofmann
Seminar on Continuity in Semilattices
Also accessible at https://www2.mathematik.tu-darmstadt.de/~logik/keimel/scs.html
A Class Of Functional Equations And Mielnik Probability Spaces, S. J. Guccione, Caslav V. Stanojevic
A Class Of Functional Equations And Mielnik Probability Spaces, S. J. Guccione, Caslav V. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
Let S be the unit sphere of a normed real linear space N and let (S, p) be a Mielnik space of dimension two. For p(x, y) = f(‖x+y‖), x, yєS, where /is a continuous, strictly increasing function from [0, 2] onto [0, 1], it has been shown that (S, p) being two dimensional is equivalent to N being an inner product space. In some polarization problems modeled on the unit sphere of an inner product space, the transition probability p(x, y) may not be as well behaved as p(x, y) = f(‖x + y‖). In order to provide a …
Quasi-Unmixedness And Integral Closure Of Rees Rings, Peter G. Sawtelle
Quasi-Unmixedness And Integral Closure Of Rees Rings, Peter G. Sawtelle
Mathematics and Statistics Faculty Research & Creative Works
For certain Rees rings ℛ of a local domain R, the quasiunmixedness of R is characterized in terms of a certain transform of ℛ being contained in the integral closure of ℛ. © 1976 American Mathematical Society.
On L¹ Convergence Of Certain Cosine Sums, John W. Garrett, Caslav V. Stanojevic
On L¹ Convergence Of Certain Cosine Sums, John W. Garrett, Caslav V. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
It is shown that to a certain cosine series f, a Rees-Stanojević cosine sumn can be associated such that gn converges to f pointwise, and a necessary and sufficient condition for L1 convergence of gn to f is given. As a corollary to that result we have a generalization of the classical result of this kind. Other corollaries are given concerning the well-known integrability conditions. © 1975, American Mathematical Society.
On L¹ Convergence Of Certain Cosine Sums, John W. Garrett, Caslav V. Stanojevic
On L¹ Convergence Of Certain Cosine Sums, John W. Garrett, Caslav V. Stanojevic
Mathematics and Statistics Faculty Research & Creative Works
Rees and Stanojevic introduced a new class of modified cosine sums (equation omitted) and found a necessary and sufficient condition for integrability of these modified cosine sums. Here we show that to every classical cosine series f with coefficients of bounded variation, a Rees-Stanqjevic cosine sum gn can be associated such that gn converges to f pointwise, and a necessary and sufficient condition for Lx convergence of gn to f is given. As a corollary to that result we have a generalization of the classical result of this kind. Examples are given using the well-known integrability conditions. © 1976 American …
Univalence Of Derivatives Of Functions Defined By Gap Power Series. Ii, S. M. Shah, S. Y. Trimble
Univalence Of Derivatives Of Functions Defined By Gap Power Series. Ii, S. M. Shah, S. Y. Trimble
Mathematics and Statistics Faculty Research & Creative Works
No abstract provided.
It's A Great Day Tomorrow, Richard C. Heyser
It's A Great Day Tomorrow, Richard C. Heyser
Unpublished Writings
This paper with its combined slides was presented by Richard C. Heyser to explain his theories for measuring sound.
The Extremal Structure Of Locally Compact Convex Sets, J. C. Hankins, Roy M. Rakestraw
The Extremal Structure Of Locally Compact Convex Sets, J. C. Hankins, Roy M. Rakestraw
Mathematics and Statistics Faculty Research & Creative Works
Let X be a locally compact closed convex subset of a locally convex Hausdorff topological linear space E. Then every exposed point of X is strongly exposed. The definitions of denting (strongly extreme) ray and strongly exposed ray are given for convex subsets of E. If X does not contain a line, then every extreme ray is strongly extreme and every exposed ray is strongly exposed. An example is given to show that the hypothesis that X be locally compact is necessary in both cases. © 1976 Pacific Journal of Mathematics. All rights reserved.
Multiplicatively Periodic Rings, Ted Chinburg, Melvin Henriksen
Multiplicatively Periodic Rings, Ted Chinburg, Melvin Henriksen
All HMC Faculty Publications and Research
We prove a generalization of Luh's result without using Dirichlet's Theorem. We then use Theorem 1 to show that the J-subrings of a periodic ring form a lattice with respect to join and intersection (the join of two subrings is the smallest subring containing both of them). After noting that every J-ring has nonzero characteristic, we determine for which positive integers n and m there exist J-rings of period n and characteristic m. This generalizes a problem posed by G. Wene.
On The Juror Utilization Problem, Melvin Henriksen, George H. Orland
On The Juror Utilization Problem, Melvin Henriksen, George H. Orland
All HMC Faculty Publications and Research
One of the authors, after hearing complaints night after night from his wife who was on jury duty, and finding it too much to bear, agreed to do something about the situation in return for peace. And so this study for the more efficient use of jurors was born. The aspects and magnitude of this problem have been discussed in many places. Basically we are concerned with achieving a better match between the number of jurors in a courthouse on a given day and those used in the judicial process.
On Graphs Which Contain All Small Trees, Ii, F. R. K. Chang, R. L. Graham, Nicholas Pippenger
On Graphs Which Contain All Small Trees, Ii, F. R. K. Chang, R. L. Graham, Nicholas Pippenger
All HMC Faculty Publications and Research
No abstract provided.
The Extendability And Uniqueness Of Solutions Of Ordinary Differential Equations, Stephen R. Bernfeld
The Extendability And Uniqueness Of Solutions Of Ordinary Differential Equations, Stephen R. Bernfeld
Mathematics Technical Papers - Archive
In a recent paper [1] the author obtained results on the extendability of solutions of perturbed differential equations. The question of the extendability of solutions of differential equations is a fundamental and important property since questions of stability and boundedness require extendability. In this paper we continue our study of extendability of perturbed scalar differential equations. Our somewhat surprising results also extend to the question of uniqueness of the zero solution of perturbed equations satisfying an Osgood condition [4] (See also [2] for recent results on the uniqueness of perturbed systems.) Examples are provided to demonstrate the strength of our …
Global Bifurcation Theorems For Nonlinearly Perturbed Operator Equations, John Macbain
Global Bifurcation Theorems For Nonlinearly Perturbed Operator Equations, John Macbain
Faculty Publications
No abstract provided.
Approximation Of Compact Homogeneous Maps, John R. Hubbard
Approximation Of Compact Homogeneous Maps, John R. Hubbard
Department of Math & Statistics Faculty Publications
Within the clasp of continuous homogeneous maps between Banach spaces, it is proved that every compact map can be uniformly approximated by finite-rank maps. This result is obtained by means of the classical metric projection on Banach spaces.
Sufficient Conditions For An Operator-Valued Feynman-Kac Formula, Michael D. Grady
Sufficient Conditions For An Operator-Valued Feynman-Kac Formula, Michael D. Grady
Mathematics, Statistics and Data Science Faculty Works
Let E be a locally compact, second countable Hausdorff space and let X(t) be a Markov process with state space E. Sufficient conditions are given for the existence of a solution to the initial value problem, ∂u/∂t,=Au + V(x) * u, u(0) = f, where A is the infinitesimal generator of the process X on a certain Banach space and for each x ∈ E, V(x) is the infinitesimal generator of a C0 contraction semigroup on another Banach space.
Asymptotic Numbers: Algebraic Operations With Them, Christo Ya. Christov, Todor D. Todorov
Asymptotic Numbers: Algebraic Operations With Them, Christo Ya. Christov, Todor D. Todorov
Mathematics
The main subject of the present paper is to define the four algebraic operations - additions, subtraction, multiplication and division in the set of the asymptotic numbers A [7] and to deduce the corresponding formulas for the components of the asymptotic number, representing the result as functions of the components of the arguments. The definitions of the operations, in fact, are introduced as a special case of the more general notion of a quasiclassical function - one special class of functions defined on A. The discussion of the algebraic and some other properties of the asymptotic numbers is put …