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.
The RBI also included the non-deposit-taking core investment company in the list of 16 NBFCs in the upper layer (UL) ... NBFC-ULs will be subject to a more stringent disciplinary structure and have to be more transparent with their financials ... The holding company has a complex structure, acknowledged another person with knowledge of the matter.
Long before the recent trend for green investing and ESG funds emerged, its managers were earning their spurs by tracking down disruptive companies with a difference...Structure. Investment trust� ... Investing Show. Will the FTSE 100 continue to outperform this year? Will investors get a boost if inflation falls away faster than thought? Investing Show.
Planning Director Nic Hutchison said the department is developing Southside housing programs that would provide incentives for new developments, homeowner improvements on existing structures, and surplus property investments ... to invest in homes in the Southside neighborhoods.
Here are the highlights of the third part of the white paper, themed with "Adjusting and Improving the IndustrialStructure" ... -- China has intensified investment in scientific and technological innovation.
"There have been several advanced technologies which can 'predict' catalyst structures, but those methods often required large investments of calculation resources and time; yet their accuracy was still limited," said joint first author Nobuya Tsuji ... different structures.
“We have significant work underway to improve all aspects of our cost structure, in support of our investments in our highest growth priorities to deliver long-term, profitable growth,” RuthPorat, Chief Financial Officer of Alphabet and Google, said in a statement.
Below are some of the important points on how the budget will impact your investments ... The upper investment limit for the SeniorCitizen Savings Scheme (SCSS) has been increased from ₹15 lakh to ₹30 lakh ... Changes in personal taxation that were proposed by the finance minister may encourage taxpayers under the new tax structures.
"Our long-term investments in deep computer ... "We have significant work underway to improve all aspects of our cost structure, in support of our investments in our highest growth priorities to deliver long-term, profitable growth," echoed RuthPorat, CFO of Alphabet and Google.
What’s your outlook for the equity and debt market in 2023 and which sectors/pockets look attractive for investment?. Indian equities are strongly positioned for a multi-year structural rally ... In the medium term, PSU and SDL papers also offer promising investment prospects.
"We were trying to figure out the highest and best use," he said in a telephone interview ...Rents weren't immediately available ... UrbanStory kept the multistory structures. Nathan Etheridge of GreenleafCapital said the company planned to invest nearly $4 million in renovating and improving the curb appeal of its buildings ... .
-the structures of the global economy including international commodity trade, investment, import and export relations between countries, etc ... of the financial elites, Big Pharma, et al., as well as the structures of political authority at the national level, is no easy task.
And everyone means everyone, including the female footballers of Saudi Arabia. In fact, especially the female footballers of Saudi Arabia ...Women’s football in the Kingdom has undertaken a rapid transformation in recent years with significant investment in grassroots development, as well as the national team and league structures ... ... ... ....