Alcoholic proof (3676 bytes)
1: ...hiskey half-and-half with water, your drink is 90 proof.
5: ...t (but do not require) a statement of the degrees proof as long as it is right next to the percentage alc...
7: ...ng and laboratory tests replaced it. The British proof system is still based on the original definition,...
9: ...there is sugar to "eat", gradually increasing the alcoholic content of the solution and killing off all other...
11: ... distilled liquor can't be stronger than 95% (190 proof); there are other techniques for separating liqui...

Non-alcoholic beer (1505 bytes)
1: '''Non-alcoholic beer''' (NAB) is a slightly misleading term used ...
3: ...ore piloting a plane would also be applied to non-alcoholic beer.
5: ...lcoholic beverage]]s is forbidden or limited, non-alcoholic versions of many popular brands are created for t...
7: ...ks for medical or religious reasons may drink non-alcoholic beer.
9: ==Examples of non-alcoholic beers==

Non-alcoholic steatohepatitis (3055 bytes)
1: ...lcoholic steatohepatitis''' ('''NASH''') or '''Nonalcoholic Fatty Liver Disease''' ('''NAFLD''') is fatty [[i...
41: * Ludwig J, Viggiano TR, McGill DB, Oh BJ. Nonalcoholic steatohepatitis: Mayo Clinic experiences with a h...

Alcoholic beverage (28122 bytes)
1: '''Alcoholic beverages''' are [[drink|drinks]] containing [[Et...
3: Alcoholic beverages have been widely used since the remote ...
9: ...tian]]ity forbid or discourage the consumption of alcoholic beverages for these and other reasons.
14: The ethanol (CH₃CH₂OH) in alcoholic beverages is almost always produced by [[fermenta...
16: ==Alcoholic content==

Alcoholic Metal (445 bytes)
1: '''Alcoholic Metal''' is [[Heavy_metal_music|metal music]] whe...

Alcoholic polyneuropathy (846 bytes)
1: '''Alcoholic polyneuropathy''' is a [[neurological disorder]] ...
2: Alcoholic polyneuropathy usually has a gradual onset with u...

Alcoholic liver disease (1995 bytes)
1: [[Alcoholic beverage|Alcohol]] is the major cause of [[liver ...
7: ...ude [[diabetes]], [[obesity]] and [[starvation]]. Alcoholic fatty change is probably dose related.
9: ===Alcoholic hepatitis===
11: ...one to this reaction than others. This is called alcoholic steatonecrosis and the inflammation probably pred...
17: Fatty change and alcoholic hepatitis are probably reversible. The later stag...

Raki (alcoholic beverage) (2183 bytes)
1: ...ah-kuh'', is the name given to several kinds of [[alcoholic beverage]]s.

Legal age to purchase alcoholic beverages (23149 bytes)
1: ...ages vary even more widely. In some countries all alcoholic beverages are illegal, often due to religious law...

Proof (842 bytes)
1: The word '''''proof''''' can mean:
6: ...rgument]] or a [[mathematical proof]] (see also [[proof theory]]).
7: ** a [[legal proof]].
10: ... or page [[layout]] presented as an example for [[proofreading]] or approval.
12: ...f]], a measure of how much [[ethanol]] is in an [[alcoholic beverage]].

Proof that 1 = 2 (1713 bytes)
8: ...1=2 by the substitution property 2+2=1, ect. The proof is as follows:
20: ...)=0, and you cannot divide by 0. That is why this proof fails.

Interactive proof (116 bytes)
1: For '''interactive proof''', see
3: *[[interactive proof system]]

Proof that e is irrational (1426 bytes)
28: ...d so ''e'' must be irrational. This completes the proof.

Proof coinage (1274 bytes)
1: ...in.JPG|thumb|150px|right|A beautiful example of a proof coin. Notice the deep [[mirror]]-like reflectivi...
2: '''Proof coinage''' means special early samples of a [[coi...
4: ...ting (the dies, not the coins), and matte proofs. Proof coins of the early 1800s even appear to be scratc...
6: Most proof coins are double [[strike|struck]]. This does not...

Constructive proof (2467 bytes)
1: ... the philosophy that rejects all but constructive proofs in mathematics.
4: ...etween a constructive proof and a nonconstructive proof is illustrated by the case of [[transcendental nu...
8: ...endental by definition. This is a nonconstructive proof.
10: For a constructive proof of the existence of transcendental numbers, we ne...
15: [[Category:Proofs]]

Proof by exhaustion (2573 bytes)
1: ...r of cases, and each case is proved separately. A proof by exhaustion contains two stages:
3: *A proof that the cases are exhaustive; i.e., that each in...
4: *A proof of each of the cases.
12: ''Proof''
20: [To complete the proof, the claims in cases 2 and 3 can be proved using ...

Zero-knowledge proof (6241 bytes)
1: In [[cryptography]], a '''zero-knowledge proof''' is an interactive method for one party to prov...
3: ...ers in cryptography|parties]] in a zero-knowledge proof as Peggy (the prover of the statement) and Victor...
5: A zero-knowledge proof must satisfy three properties:
10: A common use of a zero-knowledge proof is in authentication systems where one party want...
12: Zero-knowledge proofs are not proofs in the mathematical sense of the term because th...

Standard of proof (3325 bytes)
1: The '''standard of proof''' is the level of [[proof]], or level of evidence needed to convince the [[...
3: ...t [[Commonwealth]] jurisdictions, the standard of proof in [[crime|criminal]] trials is "beyond reasonabl...
7: ...rence between the criminal and civil standards of proof has raised some interesting cases, most notably o...
10: ==Standard of proof in areas other than law==
12: ...a civil case, so there are different standards of proof applied in many other areas of life.

Analytic proof (1195 bytes)
1: ...f calculi there is an accepted notion of analytic proof. For example:
3: ...zen's [[natural deduction calculus]] the analytic proofs are those in normal form; that is, no formula oc...
4: * In Gentzen's [[sequent calculus]] the analytic proofs are those that do not use the [[cut-elimination|...
6: ...[subformula]] of side formulae of the cut rule; a proof that contains an analytic cut is by virtue of tha...
9: Why is analytic proof interesting?

Proof (rapper) (197 bytes)
1: '''Proof''' (also known as '''Dirty Harry''') is a [[rappe...
3: Proof also doubles as [[Eminem]]'s [[hypeman]] and has ...

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