Developing countryA developing country is a sovereign state with a less developed industrial base and a lower Human Development Index (HDI) relative to other countries. However, this definition is not universally agreed upon. There is also no clear agreement on which countries fit this category. The terms low and middle-income country (LMIC) and newly emerging economy (NEE) are often used interchangeably but refers only to the economy of the countries.
BIBO stabilityIn signal processing, specifically control theory, bounded-input, bounded-output (BIBO) stability is a form of stability for signals and systems that take inputs. If a system is BIBO stable, then the output will be bounded for every input to the system that is bounded. A signal is bounded if there is a finite value such that the signal magnitude never exceeds , that is For discrete-time signals: For continuous-time signals: For a continuous time linear time-invariant (LTI) system, the condition for BIBO stability is that the impulse response, , be absolutely integrable, i.
Stable vector bundleIn mathematics, a stable vector bundle is a (holomorphic or algebraic) vector bundle that is stable in the sense of geometric invariant theory. Any holomorphic vector bundle may be built from stable ones using Harder–Narasimhan filtration. Stable bundles were defined by David Mumford in and later built upon by David Gieseker, Fedor Bogomolov, Thomas Bridgeland and many others. One of the motivations for analyzing stable vector bundles is their nice behavior in families.
Long IslandLong Island is a densely populated island in southeastern New York State, constituting a significant share of the New York metropolitan area in terms of both population and land area. With over eight million inhabitants as of 2020, it is the most populous island in the United States and the 18th-most populous island in the world. The island begins at New York Harbor and extends eastward into the North Atlantic Ocean with a maximum north-south width of . Long Island's land area of makes it the largest island in the contiguous United States.
Roosevelt IslandRoosevelt Island is an island in New York City's East River, within the borough of Manhattan. It lies between Manhattan Island to the west, and the borough of Queens, on Long Island, to the east. Running from the equivalent of East 46th to 85th Streets on Manhattan Island, it is about long, with a maximum width of , and a total area of . Together with Mill Rock, Roosevelt Island constitutes Manhattan's Census Tract 238, which has a land area of , and had a population of 11,722 as of the 2020 United States Census.
