determinant

Definitions

  • OBSERVATION DETERMINING THE POLE
    OBSERVATION DETERMINING THE POLE
  • WordNet 3.6
    • adj determinant having the power or quality of deciding "the crucial experiment","cast the deciding vote","the determinative (or determinant) battle"
    • n determinant a determining or causal element or factor "education is an important determinant of one's outlook on life"
    • n determinant a square matrix used to solve simultaneous equations
    • n determinant the site on the surface of an antigen molecule to which an antibody attaches itself
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Webster's Revised Unabridged Dictionary
  • Interesting fact: The sex of a baby crocodile is determined by the temperature in the nest and how deeply the eggs are buried
    • Determinant (Logic) A mark or attribute, attached to the subject or predicate, narrowing the extent of both, but rendering them more definite and precise.
    • a Determinant Serving to determine or limit; determinative.
    • Determinant That which serves to determine; that which causes determination.
    • Determinant (Math) The sum of a series of products of several numbers, these products being formed according to certain specified laws
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Century Dictionary and Cyclopedia
  • Interesting fact: The postage rate for a letter in 1693 was determined through how much light could pass through the letter. The postage rate would be more expensive if less light went through, and this process was called candling
    • determinant Serving to determine; determinative.
    • n determinant That which determines, fixes, defines, or establishes something.
    • n determinant In old universities, one who, having taken the lowest degree in arts, had been admitted to act as chief respondent in the Lenten disputations. See determination, 12.
    • n determinant In mathematics, the sum of all the products which can be formed of a square block of quantities, each product containing as a factor one number from each row and one from each column of the block, and each product being affected by the plus or minus sign according as the arrangement of rows from which its factors are taken (these factors being arranged in the order of the columns from which they are taken) requires an even or an odd number of transpositions to reduce it to the arrangement in the square. A determinant is conventionally denoted by writing the square block of quantities between two vertical lines. For example
    • n determinant of the r order, a function of r constituents, analogous to an ordinary determinant.
    • n determinant In biology, in Weismann's doctrine of germ-plasm, the material bearer of all the hereditary qualities of a cell, regarded as composed of as many biophores, or bearers of single hereditary qualities, as are to be possessed by the cell and its descendants.
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Chambers's Twentieth Century Dictionary
  • Interesting fact: In 1693, the postage rate of a letter was determined by how much light went through the letter. The less the light went through the letter the more expensive the rate would be. This technique was referred to as candling
    • adj Determinant serving to determine
    • ***

Quotations

  • Johann G. Fichte
    Johann G. Fichte
    “Your actions, and your action alone, determines your worth.”
  • Edgar F. Magnin
    Edgar F. Magnin
    “Existence was given us for action. Our worth is determined by the good deed we do, rather than by the fine emotions we feel,”
  • David Feherty
    David Feherty
    “It's how you deal with failure that determines how you achieve success.”
  • Gilbert K. Chesterton
    Gilbert%20K.%20Chesterton
    “How you think when you lose determines how long it will be until you win.”
  • Doug Gwyn
    Doug Gwyn
    “Truth is not determined by majority vote.”
  • John F. Kennedy
    John%20F.%20Kennedy
    “We prefer world law, in the age of self-determination, to world war in the age of mass extermination.”

Etymology

Webster's Revised Unabridged Dictionary
L. determinans, p. pr. of determinare,: cf. F. déterminant,
Chambers's Twentieth Century Dictionary
Fr.,—L. determināre, -ātumde, neg., and terminus, a boundary.

Usage

In literature:

Yet, exhausted and depressed as they were, our men were as brave and determined as ever.
"Three Years in the Sixth Corps" by George T. Stevens
She was determined now to push the question.
"Kept in the Dark" by Anthony Trollope
Reid determined to take them back to Newport, which was done.
"The Naval History of the United States" by Willis J. Abbot
The effectiveness of praise and blame in determining action depends also on the explicitness with which they are expressed.
"Human Traits and their Social Significance" by Irwin Edman
This was a screw-head, so far as he could determine, in the planking just to the left of the door, in one of the nearest corners.
"As It Was in the Beginning" by Philip Verrill Mighels
With these points having been determined, No.
"Steam, Its Generation and Use" by Babcock & Wilcox Co.
It will be a heavy loss to me to give it up, and I am determined to abide by my rights.
"The Rival Crusoes" by W.H.G. Kingston
I was determined not to stand this any longer.
"In the Wilds of Africa" by W.H.G. Kingston
Like Brer Rabbit he determined to lie low.
"The Man Who Lost Himself" by H. De Vere Stacpoole
As he turned and followed the doctor, he laughed with sudden fierce determination.
"The Root of Evil" by Thomas Dixon
Each tried to read in the countenances of the other two some sign that might determine him.
"The Boy Slaves" by Mayne Reid
Willem was determined to proceed, and persisted in his determination.
"The Giraffe Hunters" by Mayne Reid
The primitive home of man may be determined in a general way.
"History of Human Society" by Frank W. Blackmar
Mary knew, from Charles's manner of speaking, that he was quite determined on going, and that it would be of no use to teaze him.
"The Complete Project Gutenberg Works of Jane Austen" by Jane Austen
Mrs. Dosett determined that she would not follow her.
"Ayala's Angel" by Anthony Trollope
It is often desirable to determine the color of the finished soap by a rapid determination before it is made into soap.
"Soap-Making Manual" by E. G. Thomssen
I am determined to be cool, if I can.
"Familiar Letters of John Adams and His Wife Abigail Adams During the Revolution" by John Adams
South of Ailles German troops made a determined effort to recover trenches which the French had occupied a few days before.
"The Story of the Great War, Volume VII (of VIII)" by Various
Sir Garnet determined that peace must be signed in Kumasi and continued his advance.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 7" by Various
The master is determined to crush his rebellious slaves.
"Prison Memoirs of an Anarchist" by Alexander Berkman
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In poetry:

"You fellers can just git up and git,
You haven't robbed old Bill Springer, yit."
They looked on the stern, determined face,
And quietly slunk out from the place.
"Bill Springer's Hand" by Frank Maynard
A. He thoroughly must scrutinize his heart,
If he detests the devious paths he trod,
And from his sins determines to depart,
Whether committed against man, or God;
"The Lord's Prayer" by Rees Prichard
Come is the day! come is the dreadful hour!
Come is the time, determin'd by thy pow'r!
Come is the moment! come the very end,
And to escape it, I can ne'er pretend!
"A Short Prayer, For A Devout Person To Use At His Last Hour" by Rees Prichard
Having found you. Was it by fall of chance?
Then what a stake against what odds I have won!
Was it determined in God's ordinance?
Then wondrous love and pity for His son!
"Long Odds" by Aleister Crowley
Until his pain as warmth glides through me
And forces the birth of gestures, whose
Hardly mastered and determined elegance,
Strains his momentum before he himself has freed.
"The Dancer" by Martinus Nijhoff
They branded me and broke me on a wheel,
And they left me in an hospital to heal;
And, upon my solemn word,
I have never never heard
What those Tartars had determined to reveal.
"The Story of Prince Agib" by William Schwenck Gilbert

In news:

Eric Goosby, United States Global AIDS coordinator, says field testing is necessary and urgent to determine if HIV testing-and-treating services are feasible.
Mr Mint helps listeners determine the value of their rare and unusual sports collectibles and Johnny finds out if people remember Rocky Marciano.
Career experts agree that asking questions during a job interview is the best way to determine whether the organization is the right fit for you.
Field Guide to Determining Asking Price .
Though the bill's prospects of passage remain low in the short term, the drive by Democratic leaders to help the Big Three auto makers underscores the party's determination to take a more assertive role in guiding the US economy.
Citizenship may be determined at random .
How tight that seal is will determine if the BP oil spill is mostly capped.
And yet, given the crucial role roofs play in determining a house's efficiency -- yes, that means utility bills -- most people think they have no choice but to go mano a mano with all that snow and ice.
"They will analyze to see if they can determine who took it, but we're not sure right now," he said.
On our recent trip to Alaska, colleague Dino Vournas was determined to see the northern lights.
The FBI has determined that the fatal shooting of a US border patrol agent and the wounding of another was a case of friendly fire.
When it came to determining doctrine, there were limits to an emperor's power.
Totals determined by the Oklahoma State Election Board.
But some Caddo tribe members are determined to preserve their heritage.
Alaska stands at an important threshold, and the decisions we make in the coming months will determine the fate of wild Alaska salmon for generations to come.
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In science:

Corollary 16 If a partition structure is regenerative and satisfies p(2, 2) > 0 then q uniquely determines p and d, and p uniquely determines q and d.
Regenerative partition structures
Gaffney, T.: A note on the order of determination of a finitely determined germ, Invent.
Simple tangential families and perestroikas of their envelopes
Since a split simple k -group is determined by its Weyl group, up to isogeny except for the groups of the type Bn and Cn , we get that the group H is determined up to isogeny except that we are not able to distinguish between the simple direct factors of H of the type Bn and Cn .
Arithmetic of algebraic groups
The first natural step in determining the field Fq is to determine its characteristic.
Arithmetic of algebraic groups
Once the characteristic is determined, we prove that the field is determined in theorem (IV.8).
Arithmetic of algebraic groups
Once the solution κc is determined for a given g , then the transition point vc is determined from vc = 3gκc/4.
Localization of Polymers in Random Media: Analogy with Quantum Particles in Disorder
The width is determined by the availability of PMTs with large photocathode area, and the length of fast scintillators is determined to maximize the sensitivity for polarization.
Beam Test of a Prototype Detector Array for the PoGO Astronomical Hard X-Ray/Soft Gamma-Ray Polarimeter
The determinant of the Killing tensor is different of zero iff the determinant of the Ricci tensor is different of zero.
Isometry germs and related structures
In particular, β ∈ h∗ determines a root space in gnrak+i if and only if β − nrδ determines a root space in gi .
Constructing Graded Lie Algebras
Observe that any n × n matrix with entries ±1 can have determinant at most nn/2 (since the magnitude of the determinant equals the volume of a n-dimensional parallelopiped, all of whose edges have length √n); this is also known as Hadamard’s inequality.
On the singularity probability of random Bernoulli matrices
In addition see for QCD– related applications.) In the random transfer matrix approach, which we will discuss more explicitly later, the transmission eigenvalues determine important transport properties, of which the most central one is the conductance determined in the Landauer–Lee–Fisher theory.
Lectures on random matrix theory and symmetric spaces
A quaternion determinant of an N × N self–dual quaternion matrix Q is defined as the square root of the determinant of the 2N × 2N matrix obtained by writing each quaternion as a 2 × 2 matrix.
Lectures on random matrix theory and symmetric spaces
Dyson and boundary indices of the random matrix ensembles as determined by these multiplicities, and we will see that the mα determine the classical orthogonal polynomials related to each matrix model.
Lectures on random matrix theory and symmetric spaces
Let p(X ) ∈ C\{0} be the ideal point which is the orthogonal pro jection of q(X ) on C\{0} along the direction of ∆(X ), we want to determine the position of p(X ), which will then determine ∆(X ).
Generalized Markoff Maps and McShane's Identity
If the abelianization is infinite, the determinant of MR is 0, otherwise the determinant of MR is the order of the abelianization.
Finite covers of random 3-manifolds
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