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Norm  A Function Group Vector Sum Behavior Set

Title norm
Text
Merriam-Webster's Collegiate Dictionary
norm
 \\ˈnȯrm\\ noun
 ETYMOLOGY  Latin norma, literally, carpenter's square
 DATE  1674
1. an authoritative standard : 
model
2. a principle of right action binding upon the members of a group and serving to guide, control, or regulate proper and acceptable behavior
3. 
average
: as
  a. a set standard of development or achievement usually derived from the average or median achievement of a large group
  b. a pattern or trait taken to be typical in the behavior of a social group
  c. a widespread or usual practice, procedure, or custom : 
rule
      standing ovations became the norm
4.
  a. a real-valued nonnegative function defined on a vector space with value analagous to length and satisfying the conditions that the function is zero if and only if the vector is zero, the function of the product of a scalar and a vector is equal to the product of the absolute value of the scalar and the function of the vector, and the function of the sum of two vectors is less than or equal to the sum of the functions of the two vectors; specifically : the square root of the sum of the squares of the absolute values of the elements of a matrix or of the components of a vector
  b. the greatest distance between two successive points of a set of points that partition an interval into smaller intervals
Synonyms: see 
average
English Etymology
norm
  "standard, pattern, model," 1821, from Fr. norme, from 
O.Fr
http://O.Fr
., from L. norma "carpenter's square, rule, pattern," of unknown origin. Klein suggests a borrowing (via Etruscan) of Gk. gnomon"carpenter's square." The L. form of the word, norma, was used in Eng. in the sense of "carpenter's square" from 1676.
Oxford Advanced Learner's Dictionary-牛津双解-OALD7
norm
norm nC:mNAmE nC:rm / noun1. (often the norm) [sing.] a situation or a pattern of behaviour that is usual or expected
   常态;正常行为
   SYN  
rule
 :
   a departure from the norm 
   一反常态 
   Older parents seem to be the norm rather than the exception nowadays. 
   高龄父母健在,在今天似乎成了常事,而不是个例。 
2. norms [pl.] standards of behaviour that are typical of or accepted within a particular group or society
   规范;行为标准:
    social / cultural norms 
   社会/文化规范 
3. [C] a required or agreed standard, amount, etc.
   标准;定额;定量:
   detailed education norms for children of particular ages 
   针对具体年龄儿童的详细教育标准 
Oxford Collocations Dictionary for Students of English
Oxford Collocations dictionary for students of English


norm 
noun 
ADJ. accepted, established | ethical, moral | cultural, social | statistical | community, family, group 

VERB + NORM conform to Their behaviour conforms to the group norm. | break, challenge | deviate from, differ from 

PREP. above the ~, below the ~, over the ~ They want to discourage pay settlements over the norm. | ~ for On-screen editing has become the norm for all student work. | ~ of accepted norms of behaviour 

PHRASES a deviation/departure from the norm, an exception to the norm, the norm rather than the exception In the inner-city areas, poverty is the norm rather than the exception. 

OLT
norm noun
 criterion (below international norms) tradition (the values and norms of society)
Webster's Third New International Dictionary, Unabridged
Search result show the entry is found in: 
norm-
 , or age norm

norm
I. \ˈnȯ(ə)rm, ˈnȯ(ə)m\ noun
(-s)
Etymology: Latin norma carpenter's square, pattern, rule
1. : an authoritative rule or standard : 
model
type
pattern
specifically : a hypothetical mineral composition of a rock calculated according to certain definite rules and usually differing widely from the actual mineral composition or mode
2. : a standard of conduct or ethical value : a principle of right action : 
maxim
especially : an imperative statement asserting or denying that something ought to be done or has value
 norms or ideals or values that are not held, that don't become peoples' interests, will be peculiarly valueless, no matter what inherent validity they may possess — Lucius Garvin >
3. : an ideal standard binding upon the members of a group and serving to guide, control, or regulate proper and acceptable behavior
 < no society lacks norms governing conduct — R.K.Merton >
4. : 
average
 < $10,000 per annum is the norm in this community >
as
 a. : a set standard of development or achievement usually derived from the average or median achievement of a large group
  < these students … scored above the national norms for teachers college graduates — Education Digest >
 specifically : a production quota set for a worker
 b. : the average score of a specified class of persons on a specified test
  < grade norm >
  < age norm >
 c. : a pattern or trait taken or estimated to be typical in the behavior of a social group because most frequently observed
  < studies aimed at establishing the norms of sexual behavior among the middle classes >
Synonyms: see 
average
II. noun
1. : a real-valued nonnegative function defined on a vector space and satisfying the conditions that the function is zero if and only if the vector is zero, the function of the product of a scalar and a vector is equal to the product of the absolute value of the scalar and the function of the vector, and that the function of the sum of two vectors is less than or equal to the sum of the functions of the two vectors ; specifically : the square root of the sum of the squares of the absolute values of the elements of a matrix or of the components of a vector
2. : the greatest distance between two successive points of a set of points that partition an interval into smaller intervals
3. : a widespread or usual practice, procedure, or custom

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