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categorial

Definitions

  • WordNet 3.6
    • adj categorial of or relating to the concept of categories
    • ***

Quotations

  • Francis Picabia
    Francis%20Picabia
    “The world is divided into two categories: failures and unknowns.”
  • Alexander Solzhenitsyn
    Alexander%20Solzhenitsyn
    “In our country the lie has become not just a moral category but a pillar of the State.”
  • Philip Wylie
    Philip Wylie
    “Material blessings, when they pay beyond the category of need, are weirdly fruitful of headache.”
  • Russell (Wayne) Baker
    Russell (Wayne) Baker
    “Inanimate objects are classified scientifically into three major categories -- those that don't work, those that break down and those that get lost.”

Usage

In literature:

Prize fighting, however brutal and degrading, must not be put in the category of duelling.
"Explanation of Catholic Morals" by John H. Stapleton
More recent cases are more difficult to classify, especially as between the first and third categories.
"The Constitution of the United States of America: Analysis and Interpretation"
Most pagan religions belong to this category and pharisaic Judaism as well.
"Life of St. Francis of Assisi" by Paul Sabatier
With this explanation, therefore, of the famous categories, I shall close my slight sketch of the system.
"The Uncollected Writings of Thomas de Quincey--Vol. 1" by Thomas de Quincey
It is impossible to conceive of any other category.
"Applied Eugenics" by Paul Popenoe and Roswell Hill Johnson
Competition establishes for each category a price current; and it is of this variable price that I speak.
"Sophisms of the Protectionists" by Frederic Bastiat
The two remaining ones of Kant's Groups of the Categories of the Understanding (here extended to be the Categories of all Being) are, 3.
"Continental Monthly, Vol. 5, No. 6, June, 1864" by Various
He excepted two categories of men from this ruling.
"Integration of the Armed Forces, 1940-1965" by Morris J. MacGregor Jr.
The populace is of course the main category, and in the last resort always the main and decisive factor.
"An Inquiry Into The Nature Of Peace And The Terms Of Its Perpetuation" by Thorstein Veblen
Thornton Lyne succeeded to the business at a moment when his slim volume had placed him in the category of the gloriously misunderstood.
"The Daffodil Mystery" by Edgar Wallace
For present purposes they may be gathered in five principal categories.
"The Governments of Europe" by Frederic Austin Ogg
Here, then, are numbers of material things introducing themselves into the category of mental things.
"The Mind and the Brain" by Alfred Binet
The Tweedie and Jeffreys bullets come under a somewhat different category.
"Surgical Experiences in South Africa, 1899-1900" by George Henry Makins
Metaphysic reduces both time and space to categories of the mind.
"The Complex Vision" by John Cowper Powys
The characters of women, especially, were by Dr Burton all placed in the same category.
"The Book-Hunter" by John Hill Burton
Even categories were not forthcoming for his convenience.
"Early Theories of Translation" by Flora Ross Amos
Whatever sins Labrador has been guilty of, Malthusianism is not in the category.
"A Labrador Doctor" by Wilfred Thomason Grenfell
The list of a miscellaneous lot of things lately sold at a South London depository comes in this category.
"The Book-Hunter in London" by William Roberts
I run Co-ordination and Supply, which is about the loosest category.
"Deathworld" by Harry Harrison
To this category belong masturbatory manipulations, stimulation of the glans penis and other parts of the genital organs.
"The Sexual Life of the Child" by Albert Moll
***

In poetry:

Sufficiently provided, you may now
Go forth to the forests and the shady streets
To see how the chaos of experience
Answers to catalogue and category.
"Learning the Trees" by Howard Nemerov

In news:

Croc Category: Humor, Weird News.
Team Backyard Bow Pro will be hosting the first ever 3-D target competition in North Carolina in which crossbows will be able to compete in their own category.
Since its return to market two months ago with brand new adult-packaging and refreshing flavors, CJ Crunk has become a top category competitor.
The 'Two and a Half Men' star's decision to compete in the lead actor category rather than supporting pays off in an Emmy nod.
GDM is showing INDEX attendees its Single Culling System, which won it an INDEX11 Awards' Innovation in Machinery category GDM's Bruno DeMichele, sales area manager and marketing was on hand to highlight the system.
More Data Leads to More Categories.
Magazine announced that ScriptPro's SP Datapoint was once again one of five winners of its 2009 Annual Design Review in the category of equipment.
You fit into that category.
The two-day competition is held on the floor of the convention, with decorators given just 10 hours to vie for professional judges' nods in five separate categories.
This category reflects the heritage of traditional style decoys carved in an old "Down East" work shed and hunted over in the rivers and sounds of North Carolina.
Belgian pale and amber ales are another category with a wide range of variation.
SANTA ANA, Calif — One thing we know for sure: You can't clump herbs into one category.
As Consumers Change, Categories Change—Brands Must Change.
Duke Ellington's famous characterization about music being "beyond category" immediately springs to mind when considering the highly personal art of Justin Mullens.
Click on "Submit Business" under the 15-Second Pitches category.
***

In science:

The category V ′ [A, V] generalizes Pnt[A, V] and Ab[A, V] in an obvious way, and we have V ′ [A, V] = V ′ [Ov[A, V]], the category of V ′-ob jects in the category Ov[A, V].
Abelian extensions of algebras in congruence-modular varieties
In this paper we define the notion of movable category and prove that the movability of a topological space X coincides with the movability of a suitable category, which is generated by the topological space X (i.e., the category W X, defined by S.
Movable categories
A semimonoidal category is a category that has a product that is associative up to a natural isomorphism. A semimonoidal category is a monoidal category if there is a ob ject that is a unit for the product up to a natural isomorphism.
The categorical theory of relations and quantizations
This category of relations is then shown to be isomorphic to the category S A (C ) of A − A bicomodules in C . A semimonoidal structure ⊠A is introduced in this category and by isomorphism into the category of relations.
The categorical theory of relations and quantizations
We then summarize the main results of on Frobenius algebras in tensor categories, related 2-categories and the notion of weak monoidal Morita equivalence of tensor categories.
From Subfactors to Categories and Topology II. The quantum double of tensor categories and subfactors
The next two sections consider the case of categories with a positive ∗-structure (C ∗ -categories or unitary categories) and the special case where C is already braided.
From Subfactors to Categories and Topology II. The quantum double of tensor categories and subfactors
Since all categories in question are F-linear we understand the product K ⊗F L of (tensor) categories in the sense of enriched category theory.
From Subfactors to Categories and Topology II. The quantum double of tensor categories and subfactors
Consequently, (B, A) 7→ homΩ [B, A] defines an CA-cobased category with an additional notion of evaluation given by arrows A → (cid:16)homΩ [B, A] ◦ B(cid:17)ω The categories Υ·, obtained in, are particular cases of the categories Ω· .
Generalized twisted coHom objects
If C is a category, let C◦ be the opposite category and Ind(C), Pro(C) the categories of ind- and pro-ob jects in C, see [GV] for background.
Induced and simple modules of double affine Hecke algebras
We start by defining the model category of D-stacks, with respect to an extension of the ´etale topology to the category of commutative differential graded algebras, and we show that its homotopy category contains interesting ob jects, such as schemes, algebraic stacks, higher algebraic stacks, dg-schemes, etc.
From HAG to DAG: derived moduli spaces
We start by defining D − Af f := CDGAop to be the opposite category of cdga’s, and we consider the category SP r(D − Af f ), of simplicial presheaves on D − Af f, or equivalently the category of functors from CDGA to SS et.
From HAG to DAG: derived moduli spaces
If this happens (and only then), take two universes U ∈ V, define CDGA as the category of U-small cdga’s and SP r(D − Af f ) as the category of functors from CDGA to the category of V-small simplicial sets.
From HAG to DAG: derived moduli spaces
First of all, the category D − Af f ∼ being a category of simplicial presheaves, it comes with a natural enrichement over the category of simplicial sets.
From HAG to DAG: derived moduli spaces
Let us now fix a D-stack F, and consider the comma category D − Af f ∼/F of D-stacks over F ; this category is again a model category for the obvious model structure.
From HAG to DAG: derived moduli spaces
Using these definitions, one has for any cdga A, a category A − C at of dg-A-categories, with a sub-category of equivalences wA − C at.
From HAG to DAG: derived moduli spaces
***