Structure is an arrangement and organization of interrelated elements in a material object or system, or the object or system so organized. Material structures include man-made objects such as buildings and machines and natural objects such as biological organisms, minerals and chemicals. Abstract structures include data structures in computer science and musical form. Types of structure include a hierarchy (a cascade of one-to-many relationships), a network featuring many-to-many links, or a lattice featuring connections between components that are neighbors in space.
Model theory has a different scope that encompasses more arbitrary theories, including foundational structures such as models of set theory. From the model-theoretic point of view, structures are the objects used to define the semantics of first-order logic. For a given theory in model theory, a structure is called a model, if it satisfies the defining axioms of that theory, although it is sometimes disambiguated as a semantic model when one discusses the notion in the more general setting of mathematical models. Logicians sometimes refer to structures as interpretations.
In mathematics, progress often consists of recognising the same structure in different contexts - so that one method exploiting it has multiple applications. In fact this is a normal way of proceeding; in the absence of recognisable structure (which might be hidden) problems tend to fall into the combinatorics classification of matters requiring special arguments.
In category theorystructure is discussed implicitly - as opposed to the explicit discussion typical with the many algebraic structures. Starting with a given class of algebraic structure, such as groups, one can build the category in which the objects are groups and the morphisms are group homomorphisms: that is, of structures on one type, and mappings respecting that structure. Starting with a category C given abstractly, the challenge is to infer what structure it is on the objects that the morphisms 'preserve'.
The term structure was much used in connection with the Bourbaki group's approach. There is even a definition. Structure must definitely include topological space as well as the standard abstract algebra notions. Structure in this sense is probably commensurate with the idea of concrete category that can be presented in a definite way - the topological case means that infinitary operations will be needed. Presentation of a category (analogously to presentation of a group) can in fact be approached in a number of ways, the category structure not being (quite) an algebraic structure in its own right.
Consistent with its predecessor, the Fund’s investment strategy seeks to leverage the firm’s capital base and structuring expertise in partnering with companies to create customized financing solutions that can help resolve idiosyncratic liquidity and capital structure situations.
These departments do fantastic work that benefits all Americans, and they need and deserve budgetary investments. But under the current budgetary structure investments in veterans’ health care accounts come at the expense of this important funding for other agencies which also provide opportunities for veterans and their families.
In the past few years, the government has implemented several reforms to open the economy and the launch of a securities exchange is said to be a catalyst for attracting new investment from the private sector ... And Ethiopia should create a more conducive environment for climate payments to come into Ethiopia to invest in the structure.
Her work in the master planned community area includes guiding clients through all phases of project development and creating structures to protect the investment, development, brand and management interests of the respective project stakeholders.
Morris will focus on identifying, evaluating, and executing investment opportunities in the Firm's asset opportunities funds ... Morris's arrival expands the Firm's existing senior investment team ... Since the firm's formation in 2005, Flexpoint Ford has completed investments across a broad range of investment sizes, structures and asset classes.
Long-term structural vulnerabilities including under-investment, a low level of professionalism, low levels of sporting participation, poor awareness of the need to innovate in sport and issues of integrity and social responsibility are outlined in the 'Priority areas and general recommendations for the Portuguese sport' paper.
GIC, Singapore's sovereign wealth fund, will invest up to Rs 2,195 crore in Aditya BirlaFashion and Retail Ltd ... “ABFRL has a strong track record of building brands and its new business lines, including innerwear and ethnic wear, have strong structural tailwinds,” said Choo Yong Cheen, Chief Investment Officer of Private Equity for GIC.
Optimisation of capital and returns by matching capital structures with different business profiles ... We have excellent financial capacity to provide each business with a capital structure to support their investment and growth characteristics and potential.
rooftop and other on-premise solar installations which are typically below five megawatts in size, and projects for commercial tenants that do not carry an investment grade credit rating ... The firm’s generalist, cross-asset mandate allows it to invest across a diverse range of business models and capital structures.
Korea's first internet-only bank _ K bank _ is considering delaying its scheduled initial public offering (IPO) to the latter half of next year at the earliest, according to two senior investment bank executives involved in the process ... K bank already chose NH Investment, Citi and JP Morgan as the lead managers for the planned IPO.