In mathematics

• Proof by exhaustion
  Proof by exhaustion
  Proof by exhaustion, also known as proof by cases, perfect 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 and each case is checked to see if the proposition in question holds...
  
  , proof by examining all individual cases
• Exhaustion by compact sets, in analysis, a sequence of compact sets that converges on a given set
• Collectively exhaustive
  Collectively exhaustive
  In probability theory, 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 outcomes 1, 2, 3, 4, 5, and 6 are collectively exhaustive, because they encompass the entire range of possible outcomes.Another way...
  
  , in probability and set theory, a collection of sets whose union equals the complete space
• Method of exhaustion
  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 area between the n-th polygon and the containing shape will...
  
  , in geometry, finding the area of a shape by approximating it with polygons

In technology

• Exhaust gas
  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 or coal. According to the type of engine, it is discharged into the atmosphere through an exhaust pipe, flue gas stack or propelling nozzle.It often disperses...
  
  , a gas which occurs as a result of combustion of fuel
• Exhaust system
  Exhaust system
  An exhaust system is usually tubing 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...
  
  , a mechanism for venting exhaust gases from an internal combustion engine
• Exhaust velocity, a measure of engine efficiency
• Exhaust brake
  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 fuel being applied, the engine works backwards,...
  
  , a method of slowing diesel engines
• Exhaust manifold
  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 and refers to the folding together of multiple inputs and outputs.In contrast, an inlet manifold is the part of an engine...
  
  , a structure collecting an engine's exhaust outlets
• In steam engine
  Steam engine
  A steam engine is a heat engine that performs mechanical work using steam as its working fluid.Steam engines are external combustion engines, where the working fluid is separate from the combustion products. Non-combustion heat sources such as solar power, nuclear power or geothermal energy may be...
  
  s, steam released from a cylinder

In medicine

• Exhaustion or fatigue, a weariness caused by exertion
• Heat exhaustion or hyperthermia, a medical condition where the body is unable to control its accumulation of heat
• Nervous exhaustion or neurasthenia, a nineteenth-century diagnosis encompassing fatigue, anxiety, and depression
• Adrenal exhaustion or hypoadrenia, a hypothesized maladaption of the adrenal glands

In law

• Exhaustion of remedies
  Exhaustion of remedies
  The doctrine of exhaustion of remedies prevents a litigant from seeking a remedy in a new court or jurisdiction until all claims or remedies have been exhausted in the original one. The doctrine was originally created by case law based on the principles of comity.In the United States, exhaustion...
  
  , restrictions on opening a new lawsuit while an original suit is pending
• Exhaustion of rights, limits to intellectual property rights in patent and copyright
  First-sale doctrine
  The first-sale doctrine is a limitation on copyright that was recognized by the Supreme Court of the United States in 1908 and subsequently codified in the Copyright Act of 1976,...
  
   law

Other uses

• Exhaust (band)
  Exhaust (band)
  Exhaust is a bass clarinet, drum and tape trio from Montreal that started in the mid-90s. The bands members are Aidan Girt , Gordon Krieger and Mike Zabitsky . Their debut album was a self-released 7" cassette entitled 230596. Their first release on Constellation Records was in 1998 . It was...
  
  , a clarinet, drum, and tape trio in Montreal, Canada
• Exhaustive ballot
  Exhaustive ballot
  The exhaustive ballot is a voting system used to elect a single winner. Under the exhaustive ballot the elector simply casts a single vote for his or her favorite candidate. However if no candidate is supported by an overall majority of votes then the candidate with the fewest votes is eliminated...
  
  , a multi-round voting system
• Exhaust date
  Exhaust date
  In telecommunications, an exhaust date refers to the date at which an area code will run out of numbers due to growth in the number of subscribers....
  
  , the projected date that a telecommunications area code will have assigned all of its numbers