factorize

Definitions

  • WordNet 3.6
    • v factorize resolve (a polynomial) into factors
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Webster's Revised Unabridged Dictionary
  • Interesting fact: Chameleons change their color by dispersing the concentration of pigment in their skin. This is controlled by the autonomic nervous system. Color changes are determined by external factors such as light and temperature as well as emotions. They do not change color to match their background.
    • factorize (Law) To attach (the effects of a debtor) in the hands of a third person; to garnish. See Garnish.
    • factorize (Law) To give warning to; -- said of a person in whose hands the effects of another are attached, the warning being to the effect that he shall not pay the money or deliver the property of the defendant in his hands to him, but appear and answer the suit of the plaintiff.
    • factorize (Math) to resolve (a complex expression, such as a polynomial) into factors.
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Century Dictionary and Cyclopedia
  • Interesting fact: Each unit on the Richter Scale is equivalent to a power factor of about 32. So a 6 is 32 times more powerful than a 5! Though it goes to 10, 9 is estimated to be the point of total tectonic destruction. 2 is the smallest that can be felt unaided.
    • factorize In law, in some of the United States, to warn not to pay or give up goods; attach the effects of a debtor in the hands of a third person.
    • factorize To resolve into factors.
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Quotations

  • Konstantin Stanislavisky
    Konstantin Stanislavisky
    “The main factor in any form of creativeness is the life of a human spirit, that of the actor and his part, their joint feelings and subconscious creation.”
  • Albert Einstein
    Albert%20Einstein
    “Thought is the organizing factor in man, intersected between the causal primary instincts and the resulting actions.”
  • Elwyn Brooks White
    Elwyn%20Brooks%20White
    “Heredity is a strong factor, even in architecture. Necessity first mothered invention. Now invention has little ones of her own, and they look just like grandma.”
  • Willie Shoemaker
    Willie Shoemaker
    “Desire is the most important factor in the success of any athlete.”
  • John H. Vincent
    John H. Vincent
    “Ideas are the factors that lift civilization. They create revolutions. There is more dynamite in an idea than in many bombs.”
  • Source Unknown
    Source Unknown
    “The pretentiously -- named ensuite bathroom is a major factor in divorce. Privacy is paramount in marriage.”

Idioms

X factor - The dangers for people in the military that civilians do not face, for which they receive payment, are known as the X factor.
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Usage

In literature:

And in choosing a mate the man will always be the active factor or pursuer.
"Woman" by William J. Robinson
If the rudimentary kinless groups do indeed constitute a factor in human evolution, they are a most important factor.
"Folklore as an Historical Science" by George Laurence Gomme
The prime factor set aside for the sake of other factors!
"Gallipoli Diary, Volume 2" by Ian Hamilton
This general discussion suggests another factor in the working of the human mind.
"The Evolution of the Dragon" by G. Elliot Smith
It is, moreover, tending to become a factor having a certain influence on affairs.
"The Task of Social Hygiene" by Havelock Ellis
The North came slowly and reluctantly to recognize the Negro as a factor for good in the war.
"Masterpieces of Negro Eloquence" by Various
The age and health of the individual also are important factors in the capacity to learn, or habit-formation.
"Human Traits and their Social Significance" by Irwin Edman
These factors can thus be recombined in various ways.
"Evolution in Modern Thought" by Ernst Haeckel
The k-factor is one of the many factors that interrelate in a society.
"The K-Factor" by Harry Harrison (AKA Henry Maxwell Dempsey)
Relations of Planter and Factor.
"Four Years in Rebel Capitals" by T. C. DeLeon
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In poetry:

All the world's a stage you know
The men and women actors;
A little joy, a little woe--
These are but human factors.
"To Clara Morris" by Edwin Carty Ranck
A Charmer's but a factor for the fiend,
Taught the unthinking vulgar to deceive,
Who take much pains to quit their real friend,
And to the fiend adulterously cleave.
"An Admonition To The Sick To Call For A Clergyman And A Physician, And To Shun All Charms, &c. &c." by Rees Prichard

In news:

In Syria's case, a critical factor is the concentration of power in a single family, political party, and religious sect.
Laraque was a noticeable non-factor in Phoenix's previous game, its most brutal match of the season played Thursday at San Jose.
Sometimes readers ask what factors go into selecting the local news and information we publish in print, online and mobile.
Factors included in that calculation are: Increase in cost of hay.
'X Factor' Shocker: Simon Cowell Tells Audience to Be as 'Badly Behaved as You Want'.
The judges auditions for Simon Cowell's The X Factor are finally under way.
There is one over-riding economic factor in Gila County.
SELINSGROVE — One fear when facing a George Curry team coming off its first loss is always the anger factor.
Religion is not a factor in national politics in Bhutan .
Logical factors include plant type, need and price.
Factor Bioscience gets SBIR grants for Alzheimer's.
That's according to Swiss researchers, who also point out their study does not prove black tea can prevent diabetes, which is a major risk factor for heart disease.
Three factors that will determine Syria's future.
And the giant factor in there is nutrition.
Low birthweight is a significant risk factor for neonatal and infant death.
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In science:

In the exercise 18 if we assume that G has a composition series with abelian factor groups, then any factor group of a chief series is an abelian p-group with all its non-identity elements with order p (the prime p need not be same for all factor groups).
Excursions in Group Theory
The key idea in randomized algorithms for matrix factorization is that an n × p matrix with low rank d can be approximately factored in time O(npd) rather than the O(n2 p) required for exact factorization.
Randomized Algorithms for Dimension Reduction on Massive Data
De(cid:12)nition  A resolvent C of clauses C and C is a binary resolvent of a factor of C and a factor of C, where the literals resolved upon are the literals uni(cid:12)ed in the respective factors. C and C are the parent clauses of C .
Least Generalizations and Greatest Specializations of Sets of Clauses
Technically, there should be a factor of 1/|Γ| multiplying the 0-brane matrix Lagrangian because of the multiplicity of the copies; this factor is canceled by an overall factor of |Γ| from the trace, and since both factors are infinite we simply drop them from all equations for convenience.
Lectures on D-branes, Gauge Theory and M(atrices)
Each diagram factorizes into product of certain kinematic (group theory) factor and another factor with complicated momentum and spin dependence which is independent of the internal symmetry structure of the diagram.
Nonperturbative Tests of the Parent/Orbifold Correspondence in Supersymmetric Gauge Theories
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