Exhaust, exhaustive, or exhaustion may refer to:

Law

Exhaustion of intellectual property rights The exhaustion of intellectual property rights constitutes one of the limits of intellectual property (IP) rights. Once a given product has been sold under the authorization of the IP owner, the reselling, rental, lending and other third party comme ...

, limits to intellectual property rights in patent and copyright law **

Exhaustion doctrine The exhaustion of intellectual property rights constitutes one of the limits of intellectual property (IP) rights. Once a given product has been sold under the authorization of the IP owner, the reselling, rental, lending and other third party comme ...

, in patent law **

Exhaustion doctrine under U.S. law :''See also Exhaustion of intellectual property rights for a general introduction not limited to U.S. law.'' The exhaustion doctrine, also referred to as the first sale doctrine, is a U.S. common law patent doctrine that limits the extent to whic ...

, in patent law * Exhaustion of remedies, restrictions on opening a new lawsuit while an original suit is pending

Mathematics

Brute-force attack In cryptography, a brute-force attack consists of an attacker submitting many passwords or passphrases with the hope of eventually guessing correctly. The attacker systematically checks all possible passwords and passphrases until the correc ...

, a cryptanalytic attack, also known as exhaustive key search *

Collectively exhaustive In probability theory and logic, a set of events is jointly or collectively exhaustive if at least one of the events must occur. For example, when rolling a six-sided die, the events 1, 2, 3, 4, 5, and 6 balls of a single outcome are collect ...

, in probability and set theory, a collection of sets whose union equals the complete space *

Exhaustion by compact sets In mathematics, especially general topology and analysis, an exhaustion by compact sets of a topological space X is a nested sequence of compact subsets K_i of X (i.e. K_1\subseteq K_2\subseteq K_3\subseteq\cdots), such that K_i is contained in the ...

, in analysis, a sequence of compact sets that converges on a given set *

Method of exhaustion The method of exhaustion (; ) is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape. If the sequence is correctly constructed, the difference in are ...

, in geometry, finding the area of a shape by approximating it with polygons *

Proof by exhaustion Proof by exhaustion, also known as proof by cases, proof by case analysis, complete induction or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases or sets of equiv ...

, proof by examining all individual cases

Medicine

*Exhaustion or

fatigue (medical) Fatigue describes a state of tiredness that does not resolve with rest or sleep. In general usage, fatigue is synonymous with extreme tiredness or exhaustion that normally follows prolonged physical or mental activity. When it does not resolve ...

, a weariness caused by exertion * Adrenal exhaustion or hypoadrenia, a hypothesized maladaption of the adrenal glands *

Heat exhaustion Heat exhaustion is a severe form of heat illness. It is a medical emergency. Heat exhaustion is caused by the loss of water and electrolytes through sweating. The United States Department of Labor makes the following recommendation, "Heat illness ...

or hyperthermia, a medical condition where the body is unable to control its accumulation of heat *

Nervous exhaustion Neurasthenia (from the Ancient Greek νεῦρον ''neuron'' "nerve" and ἀσθενής ''asthenés'' "weak") is a term that was first used at least as early as 1829 for a mechanical weakness of the nerves and became a major diagnosis in North ...

or neurasthenia, a nineteenth-century diagnosis encompassing fatigue, anxiety, and depression

Technology

*Exhaust, in steam engines, steam released from a cylinder *

Exhaust brake An exhaust brake is a means of slowing a diesel engine by closing off the exhaust path from the engine, causing the exhaust gases to be compressed in the exhaust manifold, and in the cylinder. Since the exhaust is being compressed, and there is no ...

, a method of slowing diesel engines *

Exhaust gas Exhaust gas or flue gas is emitted as a result of the combustion of fuels such as natural gas, gasoline (petrol), diesel fuel, fuel oil, biodiesel blends, or coal. According to the type of engine, it is discharged into the atmosphere through an ...

, a gas which occurs as a result of combustion of fuel * Exhaust manifold, a structure collecting an engine's exhaust outlets *

Exhaust system An exhaust system is used to guide reaction exhaust gases away from a controlled combustion inside an engine or stove. The entire system conveys burnt gases from the engine and includes one or more exhaust pipes. Depending on the overall syste ...

, a mechanism for venting exhaust gases from an internal combustion engine *

Exhaust velocity Specific impulse (usually abbreviated ) is a measure of how efficiently a reaction mass engine (a rocket using propellant or a jet engine using fuel) creates thrust. For engines whose reaction mass is only the fuel they carry, specific impulse is ...

, a measure of engine efficiency

Other uses

* Exhaust (band), a clarinet, drum, and tape trio in Montreal, Canada ** ''Exhaust'' (album), the band's 1998 self-titled album *

Exhaust date The North American Numbering Plan (NANP) is a telephone numbering plan for twenty-five regions in twenty countries, primarily in North America and the Caribbean. This group is historically known as World Zone 1 and has the international calli ...

, the projected date that a telecommunications area code will have assigned all of its numbers *

Exhaustive ballot The exhaustive ballot is a voting system used to elect a single winner. Under the exhaustive ballot the elector casts a single vote for their chosen candidate. However, if no candidate is supported by an overall majority of votes then the candid ...

, a multi-round voting system {{disambiguation