This section attempts to answer some of the questions you might formulate when you turn the first page: What does this toolbox do? Can I use it? What problems can I solve?, etc.
What Does this Toolbox Do?
The Partial Differential Equation (PDE) Toolbox provides a powerful and flexible environment for the study and solution of partial differential equations in two space dimensions and time. The equations are discretized by the Finite Element Method (FEM). The objectives of the PDE Toolbox are to provide you with tools that:
• Define a PDE problem, i.e.
A dissertation submitted in partial satisfaction of the requirements fog the degree Doctor of Philosophy in Economics Graphical illustration of market equilibrium
From Theorem 2 and its corollaries, the income distribution in any equilibrium is
divided into J quantiles, with wealthier quantiles living in more preferredhigher
x jδ +μ j districts. In Appendix D, I show that this necessary condition is also sufficient
for an assignment rule to be an equilibrium allocation. Here, I use these results to construct
possible equilibria under different (δ , J) combinations....
Partial evaluation technology continues to grow and mature. ACM SIGPLANsponsored
conferences and workshops have provided a forum for researchers to
share current results and directions of work. Partial evaluation techniques are
being used in commercially available compilers (for example the Chez Scheme
system). They are also being used in industrial scheduling systems (see Augustsson's
article in this volume), they have been incorporated into popular
commercial products (see Singh's article in this volume), and they are the basis
of methodologies for implementing domain-specific languages....
The examination, diagnosis, treatment planning,
and clinical procedures related to treating
patients with removable partial denture prostheses
(RPDs) constitute the backbone of this new
textbook directed toward the chairside practicing
dentist. This current textbook co - edited by
Drs. John D. Jones and Lily T. García expands,
amplifi es, and updates the basic prosthodontic
principles found in my two earlier RPD textbooks,
Treatment of Partially Edentulous
Patients (L.J. Boucher and R.P. Renner, St.
Louis: C.V. Mosby, 1982) and Removable Partial
Dentures (R.P. Renner and L.J.
Recent work has shown how a parallel corpus can be leveraged to build syntactic parser for a target language by projecting automatic source parse onto the target sentence using word alignments. The projected target dependency parses are not always fully connected to be useful for training traditional dependency parsers. In this paper, we present a greedy non-directional parsing algorithm which doesn’t need a fully connected parse and can learn from partial parses by utilizing available structural and syntactic information in them. ...
This paper presents a partial matching strategy for phrase-based statistical machine translation (PBSMT). Source phrases which do not appear in the training corpus can be translated by word substitution according to partially matched phrases. The advantage of this method is that it can alleviate the data sparseness problem if the amount of bilingual corpus is limited.
In a consistent text, m a n y words and phrases are repeatedly used in more than one sentence. When an identical phrase (a set of consecutive words) is repeated in different sentences, the constituent words of those sentences tend to be associated in identical modification patterns with identical parts of speech and identical modifieemodifier relationships.
This paper presents a probabilistic framework that combines multiple knowledge sources for Haptic Voice Recognition (HVR), a multimodal input method designed to provide efﬁcient text entry on modern mobile devices. HVR extends the conventional voice input by allowing users to provide complementary partial lexical information via touch input to improve the efﬁciency and accuracy of voice recognition.
In this paper we deal with several kinds of anaphora in unrestricted texts. These kinds of anaphora are pronominal references, surfacecount anaphora and one-anaphora. In order to solve these anaphors we work on the output of a part-of-speech tagger, on which we automatically apply a partial parsing from the formalism: Slot Unification Grammar, which has been implemented in Prolog. We only use the following kinds of information: lexical (the lemma of each word), morphologic (person, number, gender) and syntactic. ...
In this paper we present results on developing robust natural language interfaces by combining shallow and partial interpretation with dialogue management. The key issue is to reduce the effort needed to adapt the knowledge sources for parsing and interpretation to a necessary minimum. In the paper we identify different types of information and present corresponding computational models. The approach utilizes an automatically generated lexicon which is updated with information from a corpus of simulated dialogues. The grammar is developed manually from the same knowledge sources. ...
In this volume I present some examples of Description of Surfaces, Partial Derivatives, Gradient,
Directional Derivatives and Taylor’s Formula, cf. also Calculus 2b, Functions of Several Variables.
Since my aim also has been to demonstrate some solution strategy I have as far as possible structured
the examples according to the following form
A Awareness, i.e. a short description of what is the problem.
D Decision, i.e. a reflection over what should be done with the problem.
I Implementation, i.e. where all the calculations are made.
C Control, i.e. a test of the result....
This paper presents collaborative decoding (co-decoding), a new method to improve machine translation accuracy by leveraging translation consensus between multiple machine translation decoders. Different from system combination and MBR decoding, which postprocess the n-best lists or word lattice of machine translation decoders, in our method multiple machine translation decoders collaborate by exchanging partial translation results.
Partial cognates are pairs of words in two languages that have the same meaning in some, but not all contexts. Detecting the actual meaning of a partial cognate in context can be useful for Machine Translation tools and for Computer-Assisted Language Learning tools. In this paper we propose a supervised and a semisupervised method to disambiguate partial cognates between two languages: French and English. The methods use only automatically-labeled data; therefore they can be applied for other pairs of languages as well.
The aim of this paper is to present a simple yet efﬁcient implementation of a tool for simultaneous rule-based morphosyntactic tagging and partial parsing formalism. The parser is currently used for creating a treebank of partial parses in a valency acquisition project over the IPI PAN Corpus of Polish.
The inside-outside algorithm for inferring the parameters of a stochastic context-free grammar is extended to take advantage of constituent information (constituent bracketing) in a partially parsed corpus. Experiments on formal and natural language parsed corpora show that the new algorithm can achieve faster convergence and better modeling of hierarchical structure than the original one.
(BQ) Part 1 book "Functional analysis, sobolev spaces and partial differential equations" has contents: The hahn–banach theorems - introduction to the theory of conjugate convex functions; the uniform boundedness principle and the closed graph theorem; compact operators - spectral decomposition of self adjoint compact operators,...and other contents.
(BQ) Part 2 book "Functional analysis, sobolev spaces and partial differential equations" has contents: Sobolev spaces and the variational formulation of boundary value problems in one dimension, miscellaneous complements, evolution problems-the heat equation and the wave equation,...and other contents.
(BQ) Part 2 book "Partial differential equations in action" has contents: Distributions and sobolev spaces, elements of functional analysis, variational formulation of elliptic problems, elements of functional analysis.