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 necessary and sufficient conditions - Definition 

Necessary and sufficient conditions (4941 bytes)
1: ...[[logic]], the words '''''necessary''''' and '''''sufficient''''' describe relations that hold between proposi...
3: * Drinking water regularly is '''necessary''' for a human to stay alive.
4: * Jumping is '''sufficient''' for leaving the ground.
5: * Having an ID card is a '''necessary and sufficient''' condition for being allowed in.
7: ...ical relationships implied by ''necessary'' and ''sufficient''. The ''causal'' meanings of these words are ign...

Self-sufficient homes (839 bytes)
1: ...wells or through rainwater collection. Some self-sufficient houses also use waste disposal systems that do no...
3: An example of an effort to create affordable self-sufficient houses is the Earthship project at http://www.ear...

Non sufficient funds (375 bytes)
1: ...for payment (a check) cannot be honored because insufficient funds are available in the account on which the i...

Principle of Sufficient Reason (534 bytes)
1: ...In fact, some [[philosopher]]s, both [[theist]]ic and [[non-theist]]ic, think that the existence of God...

Self sufficient web comics (1480 bytes)
1: ...through on-site [[advertising]], web comic [[merchandising]], books of the web comic, art [[commissions...
5: ... write the comic full time for a year. They did, and now he does.
7: ...webcomic, and without merchandising ''"everything and the kitchen sink,"'' as many others do.

Principle of sufficient reason (1370 bytes)
1: ...orical, in relation to the debate on determinism, and [[Continental rationalism]] in general.
3: In fact Leibniz had a more nuanced and characteristic version of the principle, in which...
5: ...form that [[history]] could not be accepted as [[random]].

Twenty-one Conditions (1107 bytes)
1: ...ty to join the [[Comintern]], it had to accept 21 conditions. Some of these were:
3: ...n in favor of communist ideas, both in the cities and the countryside
4: *To remove reformists and centrists from positions in the working class mov...
5: *To combine legal and illegal methods of struggle, in countries with pr...
7: ...m]] and accept that violent struggle is sometimes necessary

Near-equilibrium conditions (189 bytes)
1: '''Near-equilibrium conditions''' is a philosophical concept popularized by [[Ge...

Nervous Conditions (172 bytes)
1: '''Nervous Conditions''' is a novel by Zimbabwean author [[Tsitsi Danga...

Conditions races (4141 bytes)
1: ... racing|horse races]] for the very best of horses and are split into:
3: **Group 1 - (Classics and other races of major international importance)
6: and<br>
7: ...he group races but are still more important than handicaps.
9: ...rses race in '''graded stakes races''' instead of conditions races. The division is similar to that for patter...

Dirichlet conditions (622 bytes)
1: ...x''), to have a [[Fourier transform]]. Dirichlet conditions are named after [[Johann Peter Gustav Lejeune Dir...
3: The conditions are:
10: *{{planetmath reference|id=3891|title=Dirichlet conditions}}

Conditions of Learning (234 bytes)
1: ...rt and Winston, describes eight kinds of learning and nine events of instruction.

Nervous Conditions/Temp (172 bytes)
1: '''Nervous Conditions''' is a novel by Zimbabwean author [[Tsitsi Danga...

Visual meteorological conditions (1101 bytes)
1: In [[aviation]] '''visual meteorological conditions''' are those in which [[visual flight rules]] (VF...
3: ...visibility, ceilings (for takeoffs and landings), and cloud clearances.
5: ...e mile away from clouds horizontally and one thousand feet away from clouds vertically.
8: Generally, VMC requires greater visibility and cloud clearance in [[controlled airspace]] than [...

Standard conditions for temperature and pressure (2787 bytes)
1: ...to define ''standard conditions'' for temperature and pressure.
3: ...re]] of 0&deg;[[celsius|C]] (273.15 [[kelvin|K]]) and [[pressure]] of 1 [[atmospheric pressure|atm]] (d...
4: ...ues approximate freezing temperature of [[water]] and atmospheric pressure at [[sea level]].
6: ...inition, the most accepted one is the temperature and pressure where the [[equilibrium constant]] for t...
8: ...5275 inHg of pressure (99.9916 kPa), 59°F (15°C), and 78% [[humidity]]. (Ref: U.S. Army Ballistic Resea...

Integrability conditions for differential systems (4939 bytes)
1: ...erential form ''restricts'' to a [[submanifold]], and the fact that this restriction is compatible with...
16: ...example, consider the following one-form on the standard simplex <math>S=\{(x,y,z)|x+y+z<1\}\subset\mat...
20: ...e 1-form <math>\alpha</math> on M. On the other hand, by the skewness of the wedge product, this impli...
28: ...multiple of the standard volume on the simplex S, and so is never zero.
30: ==Necessary and sufficient conditions==

List of topics on working time and conditions (705 bytes)
1: This is a list of topics on '''working time and conditions'''.
5: *[[Fair Labor Standards Act]]
24: ==Working conditions==
30: *[[occupational safety and health]]
31: *[[Occupational Safety and Health Administration]]

Conditions comorbid to autism spectrum disorders (9090 bytes)
1: ...ociated with [[autism|autism spectrum disorders]] and [[Asperger's Syndrome]].
3: ...r]] (OCD), [[seizures]], [[Tourette's syndrome]], and [[clinical depression|depression]]. At the lower ...
6: Depression and its cousin, anxiety, may be the most common comor...
9: ...evention|CDC]], the causes are currently unknown, and it is thought that the term covers a variety of r...
12: [[Diagnostic and Statistical Manual of Mental Disorders]]-IV (Text...

Necessary (265 bytes)
2: '''Necessary''' has a number of meanings:
3: ...se to be the case. See [[necessary and sufficient conditions]].
4: * A necessary truth - Something that cannot fail to be true. Se...

Brown's representability theorem (2076 bytes)
1: ...m''' in [[homotopy theory]] gives [[necessary and sufficient condition]]s on a [[contravariant functor]] ''F''...
5: ...eorem is that these necessary conditions are then sufficient.
7: ... is created by the identification of spaces ''U'' and ''V''.
9: ...nce of functors]]) if and only if the wedge axiom and Mayer-Vietoris axiom are satisfied by ''F''.

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