Exhaust, exhaustive, or exhaustion may refer to:

Law

* Exhaustion of intellectual property rights, 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, 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 or exhaustive key search is a cryptanalytic attack that consists of an attacker submitting many possible keys or passwords with the hope of eventually guessing correctly. This strategy can theoretically be ...

, 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 are collectively exhaustive, because th ...

, in probability and set theory, a collection of sets whose union equals the complete space * Exhaustion by compact sets, 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 (one at a time) whose areas converge to the area of the containing shape. If the sequence is correctly constructed, the differ ...

, 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 equi ...

, proof by examining all individual cases

Medicine

Fatigue Fatigue is a state of tiredness (which is not sleepiness), exhaustion or loss of energy. It is a signs and symptoms, symptom of any of various diseases; it is not a disease in itself. Fatigue (in the medical sense) is sometimes associated wit ...

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

Heat exhaustion Heat exhaustion is a heat-related illness characterized by the body's inability to effectively cool itself, typically occurring in high ambient temperatures or during intense physical exertion. In heat exhaustion, core body temperature ranges from ...

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

Nervous exhaustion Neurasthenia ( and () 'weak') is a term that was first used as early as 1829 for a mechanical weakness of the nerves. It became a major diagnosis in North America during the late nineteenth and early twentieth centuries after neurologist Georg ...

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

Technology

*Exhaust, in

steam engine A steam engine is a heat engine that performs Work (physics), mechanical work using steam as its working fluid. The steam engine uses the force produced by steam pressure to push a piston back and forth inside a Cylinder (locomotive), cyl ...

s, steam released from a cylinder * Exhaust brake, 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 ...

, a gas which occurs as a result of combustion of fuel *

Exhaust manifold In automotive engineering, an exhaust manifold collects the exhaust gases from multiple cylinders into one pipe. The word ''manifold'' comes from the Old English word ''manigfeald'' (from the Anglo-Saxon ''manig'' anyand ''feald'' old and ref ...

, 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, such as a rocket using propellant or a jet engine using fuel, generates thrust. In general, this is a ratio of the '' impulse'', i.e. change in moment ...

, a measure of engine efficiency * Data exhaust, the trail of data left by users during online activity

Other uses

Emotional exhaustion Emotional exhaustion is a symptom of burnout, a chronic state of physical and emotional depletion that results from excessive work or personal demands, or continuous stress. It describes a feeling of being emotionally overextended and exhausted b ...

* Exhaust (band), a clarinet, drum, and tape trio in Montreal, Canada ** ''Exhaust'' (album), the band's 1998 self-titled album * Exhaust date, the projected date that a telecommunications area code will have assigned all of its numbers * Exhaustive ballot, a multi-round voting system {{disambiguation