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norm    音标拼音: [n'ɔrm]
n. 基准,模范,标准,智力水准,平均数

基准,模范,标准,智力水准,平均数

norm
范数

norm
n 1: a standard or model or pattern regarded as typical; "the
current middle-class norm of two children per family"
2: a statistic describing the location of a distribution; "it
set the norm for American homes" [synonym: {average}, {norm}]

Norm \Norm\, n. [L. norma a rule. See {Normal}, a.]
[1913 Webster]
1. A rule or authoritative standard; a model; a type; as,
deviations from the norm are not tolerated.
[1913 Webster PJC]

2. (Biol.) A typical, structural unit; a type. --Agassiz.
[1913 Webster]

116 Moby Thesaurus words for "norm":
Procrustean law, Ten Commandments, Weltanschauung, Zeitgeist,
average, axiology, balance, barometer, behavioral norm, benchmark,
business ethics, canon, center, check, climate, climate of opinion,
code, code of ethics, code of morals, commandment, convention,
criterion, decalogue, degree, dictum, ethic, ethical system,
ethics, ethos, form, formality, formula, formulary, gauge,
general principle, generality, golden mean, golden rule,
graduated scale, guideline, guiding principle, happy medium,
ideology, imperative, intellectual climate, juste-milieu, law,
law of nature, legal ethics, maxim, mean, measure, median,
medical ethics, mediocrity, medium, middle, middle course,
middle ground, middle point, middle position, middle state,
middle-of-the-road, midpoint, mitzvah, model, moral, moral climate,
moral code, moral principles, morals, mores, new morality, norma,
normal, normative system, norms, order of nature, ordinance, par,
parameter, pattern, prescribed form, prescription, principium,
principle, principles, professional ethics, quantity, reading,
readout, regulation, rubric, rule, run, scale, set form,
settled principle, social ethics, spiritual climate, standard,
standards, standing order, tenet, test, touchstone, type,
universal law, usual, value, value system, via media,
working principle, working rule, world view, yardstick


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  • What is the norm of a complex number? [duplicate]
    In particular, this "algebraic norm" is not measuring distance, but rather measuring something about the multiplicative behavior of a + bi That it turns out to be the square of the geometric norm in this case is a deep geometric fact about the geometry of complex numbers
  • What is the difference between the Frobenius norm and the 2-norm of a . . .
    For example, in matlab, norm (A,2) gives you induced 2-norm, which they simply call the 2-norm So in that sense, the answer to your question is that the (induced) matrix 2-norm is ≤ than Frobenius norm, and the two are only equal when all of the matrix's eigenvalues have equal magnitude
  • Understanding L1 and L2 norms - Mathematics Stack Exchange
    Just the norm? The norm acts on a vector and any norm has to satisfy three properties Given a vector space V over a field F, the norm must ‖x‖ ≥ 0 for all x and x = 0 ⇔ ‖x‖ = 0 ‖ax‖ = | a | ‖x‖ for all a ∈ F, x ∈ V ‖x + y‖ ≤ ‖x‖ + ‖y‖ (triangle inequality) You ask about the L1 and L2 norms The L1 norm is the sum of the absolute value of the entries in
  • How are $C^0,C^1$ norms defined - Mathematics Stack Exchange
    How are C0,C1 C 0, C 1 norms defined? I know Lp,L∞ L p, L ∞ norms but are the former defined
  • 2-norm vs operator norm - Mathematics Stack Exchange
    The operator norm is a matrix operator norm associated with a vector norm It is defined as | | A | | OP = supx ≠ 0 Ax n x and different for each vector norm In case of the Euclidian norm | x | 2 the operator norm is equivalent to the 2-matrix norm (the maximum singular value, as you already stated) So every vector norm has an associated operator norm, for which sometimes simplified
  • matrices - Orthogonal matrix norm - Mathematics Stack Exchange
    A norm is a norm And the operator norm satisfies ‖HA‖ = ‖A for every orthogonal H and arbitrary A
  • 1 and 2 norm inequality - Mathematics Stack Exchange
    where x ∈ Rn x ∈ R n There was no proof given, and I've been trying to prove it for a while now I know the definitions of the 1 1 and 2 2 norm, and, numerically the inequality seems obvious, although I don't know where to start rigorously Thank you
  • Norms on the reals - Mathematics Stack Exchange
    On the real numbers the absolute value is a norm on this vector space We can also define the norm of x x to be c|x| c | x |, where c> 0 c> 0 is a constant Are they the only norms on the real numbers? If not, what are other norms on the real numbers?





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