In computer algebra there are different ways of approaching the mathematical concept of functions, one of which is by defining them as solutions of differential equations. We compare different such approaches and disc...
详细信息
ISBN:
(纸本)9780769546308
In computer algebra there are different ways of approaching the mathematical concept of functions, one of which is by defining them as solutions of differential equations. We compare different such approaches and discuss the occurring problems. the main focus is on the question of determining possible branch cuts. We explore the extent to which the treatment of branch cuts can be rendered (more) algorithmic, by adapting Kahan's rules to the differential equation setting. Keywords: computer algebra, differential equation, branch cut
An important and challenging computational problem is to identify and include the missing compatibility (integrability) conditions for general systems of partial differential equations. the inclusion of such missing c...
详细信息
ISBN:
(纸本)9798350394139;9798350394122
An important and challenging computational problem is to identify and include the missing compatibility (integrability) conditions for general systems of partial differential equations. the inclusion of such missing conditions is executed by the application of differential-elimination algorithms. Differential equations arising during modeling generally contain both exactly known coefficients and coefficients known approximately from data. We focus on our recent work on approximate differential-elimination methods and in particular their application to the determination of approximate symmetries. We illustrate this with applications to a class of Schrodinger equations.
In this paper we study the ladder operators for little q-Jacobi polynomials and for polynomials orthogonal with respect to a generalized q-Jacobi weight. We also briefly discuss the computational aspects in the comput...
详细信息
ISBN:
(纸本)9781479930357
In this paper we study the ladder operators for little q-Jacobi polynomials and for polynomials orthogonal with respect to a generalized q-Jacobi weight. We also briefly discuss the computational aspects in the computer algebra system Mathematica (***).
Widespreading and enabling machine processing of old prints relevant to a particular cultural area can be achieved using modern research infrastructures. this paper outlines the architecture of a distributed environme...
详细信息
ISBN:
(纸本)9781538626269
Widespreading and enabling machine processing of old prints relevant to a particular cultural area can be achieved using modern research infrastructures. this paper outlines the architecture of a distributed environment for optical character recognition customized for a collection comprising scanned books in old Romanian language and it also presents the preliminary results of our experiments.
the principal benefit introduced by distributed systems is the ability to use the computation power and processing capabilities of multiple processing nodes in order to solve problems infeasible on a single machine. F...
详细信息
ISBN:
(纸本)9780769539645
the principal benefit introduced by distributed systems is the ability to use the computation power and processing capabilities of multiple processing nodes in order to solve problems infeasible on a single machine. For symboliccomputingthese advantages are particularly useful. In order to create a successful distributed system to support symbolic computations is important to have a deep understanding of the way the computer algebra specialists interact with a symboliccomputing system. In this paper we investigate general processing capabilities of symboliccomputing systems related to control flow and we emphasize several execution patterns. the impact that workflow management functionalities have over general execution patterns in symboliccomputing are also investigated.
We present a denotational semantics designed with metric spaces and continuations for an abstract concurrent language embodying two new features: the semantics of parallel composition is based on the concept of maxima...
详细信息
ISBN:
(纸本)9780769546308
We present a denotational semantics designed with metric spaces and continuations for an abstract concurrent language embodying two new features: the semantics of parallel composition is based on the concept of maximal parallelism, and computations are specified by means of multiset rewriting rules. To the best of our knowledge, this is the first paper that presents a metric denotational semantics for this combination of features, encountered also in membrane computing.
symbolic Computation (Mathematics Subject Classification 2000, 68W30) is often treated as just another subject in the wide field of special topics within mathematics;on the same level as mesh generation (65L50) or qua...
详细信息
ISBN:
(纸本)9780769546308
symbolic Computation (Mathematics Subject Classification 2000, 68W30) is often treated as just another subject in the wide field of special topics within mathematics;on the same level as mesh generation (65L50) or quasi-Frobenius rings (16L60). Here we want to argue that actually symbolic Compuation is not so much a topic in mathematics, but a relatively novel approach to mathematical epistemology;a different and, as we believe, fruitful way of looking at mathematics and the acquisition of knowledge in mathematics.
We define the functional inverse of the Gamma function. It is a multivalued function, and we define its branches. We present its basic properties, included series approximations, asymptotic results and numerical evalu...
详细信息
ISBN:
(纸本)9781538626269
We define the functional inverse of the Gamma function. It is a multivalued function, and we define its branches. We present its basic properties, included series approximations, asymptotic results and numerical evaluation.
this paper makes a short overview of current state of the art monitoring tools for cloud and big data frameworks. In order to effectively create, test and deploy new algorithms or frameworks one needs suitable monitor...
详细信息
ISBN:
(纸本)9781509004614
this paper makes a short overview of current state of the art monitoring tools for cloud and big data frameworks. In order to effectively create, test and deploy new algorithms or frameworks one needs suitable monitoring solutions. Hence we aim on creating a critical overview for some of the monitoring solutions existing on the market. Also we present relevant metrics used for monitoring cloud and big data applications, focused mainly on cloud deployment scenarios for big data frameworks.
We propose a new technique for identifying frequent patterns that occur in large transactional data sets using Boolean algebras. Our approach, which involves extending the notion of support from sets of attributes to ...
详细信息
ISBN:
(纸本)9781538626269
We propose a new technique for identifying frequent patterns that occur in large transactional data sets using Boolean algebras. Our approach, which involves extending the notion of support from sets of attributes to Boolean functions is more expressive than the standard approach that amounts to a search for conjunctive patterns. An efficient algorithm based on computing supports for minterms is presented. Also, we discuss an application of this algorithm to finding independent sets in graphs.
暂无评论