A unified mathematical definition for the classical (vector and probabilistic) models of information retrieval is given. Also, a mathematical structure (Diophantine set) behind relevance feedback is identified.doi:10.1002/(SICI)1097-4571(2000)51:7<614::AID-ASI4>3.0.CO;2-SSándor Dominich...
The principles of vector computation are reviewed including a definition of “depth of parallelism”. The latter concept is related to algorithm performance on various computer architectures (in particular the CRAY-1 and the FPS AP120B). The challenge of providing efficient mathematical software librar...
a measure of power in game dynamics similar to our definition of gamification badges14, a critical overview on the role of optimization models in bench-marking development goals in urban planning15, a gamified participatory design/planning framework16, and a succinct overview of complexity in urban...
plank of the Kantian position is a point about the role of relations in constituting a world of individual empirical objects, and about mathematics as the provider of the theory not just of pure relational structures but also of the identification, individuation and definition of objects within ...
Similar definition applies to a subvector of q. For two vectors x and y of the same dimension, is the vector of componentwise minima of x and y. 2 Some details of the problem setting The basic problem with exact sparsity is (1), where the following blanket assumption is made unless ...
(for the human classes), the effect of vector is introduced through theirvectorial capacityof infection (Table1for definition). The newly introduced compartment over the earlier one is shown in red. The effects of different complex factors, such as age, immunity, environment and socio-economic,...
International Series in Pure and Applied Mathematics(共19册), 这套丛书还有 《Topics in Mathematical System Theory》《Numerical Methods for Scientists and Engineers》《Functional Analysis》《Introduction to Topology and Modern Analysis》《Vector and Tensor Analysis》 等。
based environment that supports multiple COMBINE standards and uses the declarative modeling language Antimony35. Another emerging language for the definition of embedded DSLs for mathematical models is Julia, which has a similar focus as Python but is more extensible and tends to have better runtime...
The main idea is to define certain hypergraphs on top of these expander graphs, and then find tree-like substructures within them. The final blocking set is a union of vector subspaces whose dimensions are , and it is quite intricate. Our work also has some surprising links to size-Ramsey ...
Since the computation of derivatives usually involves a stage of scale-space smoothing, the definition of the structure tensor requires two scale parameters. The first one, defined byMathML, is a local scale for smoothing prior to the computation of image derivatives. The structure tensor is insen...