Private equityIn the field of finance, private equity (PE) is an investment fund, usually a limited partnership, which invests in and restructures private companies. A private-equity fund is both a type of ownership of assets (financial equity) and is a class of assets (debt securities and equity securities), which function as modes of financial management for operating private companies that are not publicly traded in a stock exchange.
Private browsingPrivate browsing is a privacy feature in some web browsers. When operating in such a mode, the browser creates a temporary session that is isolated from the browser's main session and user data. Browsing history is not saved, and local data associated with the session, such as Cookies, Web cache, are cleared when the session is closed. These modes are designed primarily to prevent data and history associated with a particular browsing session from persisting on the device, or being discovered by another user of the same device.
Charitable trustA charitable trust is an irrevocable trust established for charitable purposes and, in some jurisdictions, a more specific term than "charitable organization". A charitable trust enjoys a varying degree of tax benefits in most countries. It also generates good will. Some important terminology in charitable trusts is the term "corpus" (Latin for "body"), which refers to the assets with which the trust is funded, and the term "donor", which is the person donating assets to a charity.
Local cohomologyIn algebraic geometry, local cohomology is an algebraic analogue of relative cohomology. Alexander Grothendieck introduced it in seminars in Harvard in 1961 written up by , and in 1961-2 at IHES written up as SGA2 - , republished as . Given a function (more generally, a section of a quasicoherent sheaf) defined on an open subset of an algebraic variety (or scheme), local cohomology measures the obstruction to extending that function to a larger domain.
Concave functionIn mathematics, a concave function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex upwards, convex cap, or upper convex. A real-valued function on an interval (or, more generally, a convex set in vector space) is said to be concave if, for any and in the interval and for any , A function is called strictly concave if for any and . For a function , this second definition merely states that for every strictly between and , the point on the graph of is above the straight line joining the points and .
English trust lawEnglish trust law concerns the protection of assets, usually when they are held by one party for another's benefit. Trusts were a creation of the English law of property and obligations, and share a subsequent history with countries across the Commonwealth and the United States. Trusts developed when claimants in property disputes were dissatisfied with the common law courts and petitioned the King for a just and equitable result. On the King's behalf, the Lord Chancellor developed a parallel justice system in the Court of Chancery, commonly referred as equity.
