«scalarization function»
۱۱٬۴۳۲ نتیجهA Global Stability Criterion for Scalar Functional Differential Equations
We consider scalar delay differential equations x′(t) = −δx(t)+f(t, xt) (∗) with nonlinear f satisfying a sort of negative feedback condition combined with a boundedness condition. The well-known Mackey–Glass-type equations, equations satisfying the Yorke condition, and equations
Gauge field localization in branes: coupling to a scalar function and coupling to torsion in teleparallel gravity scenario
Abstract This paper is aimed at investigating the behavior of gauge vector and tensor fields on thick brane in f ( T ) gravity. not capable providing a normalizable zero mode for both Kalb Ramond fields. To overcome this problem, we propose two distinct types gauge-invariant coup
A Framework for Parallel Processing of Aggregate and Scalar Functions in Object - Relational DBMS 1
Nowadays parallel object-relational DBMS are envisioned as the next great wave but there is still a lack of efficient implementation concepts for some parts of the proposed functionality. One of the current goals for parallel object-relational DBMS is to move towards higher perfo
Denali: A tool for visualizing scalar functions as landscape metaphors
Many sources of data in machine learning, such as probability distributions and cost functions, can be summarized by extracting tree-like structures. These trees, however, are often large enough so as to be difficult to visualize with traditional methods. In this paper, we presen
Operators and the Space of Integrable Scalar Functions with Respect to a Fréchet-valued Measure
We consider the space L1.1; X/ of all real functions that are integrable with respect to a measure 1 with values in a real Fréchet space X . We study L-weak compactness in this space. We consider the problem of the relationship between the existence of copies of `1 in the space o
Solvability and the Unique Solvability of a Periodic Type Boundary Value Problem for First Order Scalar Functional Differential Equations
Nonimprovable in a certain sense, sufficient conditions for the solvability and unique solvability of the problem u′(t) = F (u)(t), u(a)− λu(b) = h(u) are established, where F : C([a, b];R) → L([a, b];R) is a continuous operator satisfying the Carathéodory condition, h : C([a, b]
Reverse Accumulation and Implicit Functions
We begin by introducing a simple technique for using reverse accu mulation to obtain the rst derivatives of target functions which include in their construction the solution of systems of linear or nonlinear equations In the lin ear case solving Ay b for y corresponds to the adjo
On D-preinvex-type Functions
Convexity and generalized convexity play a central role in mathematical economics, engineering, and optimization theory. Therefore, the research on convexity and generalized convexity is one of the most important aspects in mathematical programming (see [1–4, 6–11] and the refere
Duality for vector optimization problems via a general scalarization
Considering a vector optimization problem to which properly efficient solutions are defined by using convex cone-monotone scalarization functions, we attach to it, by means of perturbation theory, new vector duals. When the primal problem, the scalarization function and the pertu
Scalar aggregation in inconsistent databases
We consider here scalar aggregation queries in databases that may violate a given set of functional dependencies. We define consistent answers to such queries to be greatest lowest/least upper bounds on the value of the scalar function across all (minimal) repairs of the database