This is similar ( but more categorical ) to concepts in group theory or module theory, where a given decomposition of an object into a direct sum is " not natural ", or rather " not unique ", as automorphisms exist that do not preserve the direct sum decomposition – see Structure theorem for finitely generated modules over a principal ideal domain # Uniqueness for example.

# REDIRECT Uniqueness quantification

# REDIRECT Uniqueness quantification

# REDIRECT Uniqueness quantification

# REDIRECT Composition series # Uniqueness: Jordan – Hölder theorem

# Uniqueness

# REDIRECT Composition series # Uniqueness: Jordan – Hölder theorem

# redirect Uniqueness quantification

# Uniqueness: no positive integer has two different Zeckendorf representations.

# Various basic foodstuffs such as rice, sugar, wheat, cooking oil and butter ( the Salex Group enjoys a de facto monopoly on imports of wheat, sugar, flour, butter and cooking oil.

# REDIRECT Alkali metal Group 01 element

# REDIRECT Group ( mathematics )

# REDIRECT Group ( mathematics )

# Group the incoming data bits into codewords, one for each symbol that will be transmitted.

# Group the keys based on that digit, but otherwise keep the original order of keys.

The Kensington Computer Products Group | Kensington Expert Mouse trackball can use a Billiard ball # American-style pool | standard American pool ball

In 2009, China FAW Group Corporation equipped their Hongqi HQE with a 6. 0 L DOHC V12 ( model # CA12VG ), making it the first and only Chinese production passenger car so equipped.

# REDIRECT Alkaline earth metal Group 02 element

# REDIRECT Group theory

# Janez Strnad, Fazna, skupinska, signalna hitrost ( Phase, Group, Signal Velocity ), ( DMFA SRS, Ljubljana 1975, pp 31 ).

# REDIRECT Dassault Group

# Mercuria Energy Group

# Noble Group

# Louis Dreyfus Group

* 2008, 2009: Farmers Insurance Group of Companies ranked Corvallis the # 1 Most Secure Place to Live.

# REDIRECT Russell Group

Group B Audi Quattro # Sport Quattro S1 | Audi Sport Quattro S1

# G. Gordon Liddy ( R ), Special Investigations Group, convicted of burglary.

# Residential occupancies where the occupants are primarily permanent in nature and not classified as Group R-1, R-2, R-4 or I, including: buildings that do not contain more than two dwelling units, adult care facilities for five or fewer persons for less than 24 hours.

# REDIRECT Trusted Computing Group

# REDIRECT BT Group

# Public presence of notable staff associated with phantom groups, such as FUSAG ( First U. S. Army Group ), most notably the well-known US general George S. Patton.

# REDIRECT Group isomorphism # Automorphisms

* In 2011 the University of Pisa came in first place among the Italian universities ( National Rank # 1 ), according to the Academic Ranking of World Universities and within the best 30 universities in Europe.

# Rank results from lowest to highest

# Some allow a sixth five-card combination called " two pair-junk " or " Butterfly ", consisting of two pairs ( of different ranks ) and one odd card (" junk "); Rank is determined by the highest pair.

Rank # 1 vs. other ranks

The " Campaign " and " War Room " modes both help to rank the player up ( from Rank # 100 to Rank # 1 ) and to earn coins to unlock COs and maps in the " Battle Maps " shop.

# REDIRECT Rank ( linear algebra )

# redirect Rank ( linear algebra )

# Rank Group

# Ellen Glanville by a Lady of Rank, 1838, 2 vols

# REDIRECT Rank insignia of the German armed forces

# REDIRECT Rank # Mathematics

# Rank all data from all groups together ; i. e., rank the data from 1 to N ignoring group membership.

* The Academic Ranking of World Universities puts this system at the first place in Italy ( National Rank # 1 ) and within the best 30 universities in Europe.

# Top Rank

Pita Pit has also been recognized as Rank # 34 for Fastest-Growing Small Chain # 2239 for Fastest-Growing Private Companies.

# REDIRECT J. Arthur Rank, 1st Baron Rank

# REDIRECT Rank insignia of the German armed forces # Army and air force