subdivision

Definitions

  • WordNet 3.6
    • n subdivision the act of subdividing; division of something previously divided
    • n subdivision a section of a section; a part of a part; i.e., a part of something already divided
    • n subdivision a self-contained part of a larger composition (written or musical) "he always turns first to the business section","the history of this work is discussed in the next section"
    • n subdivision a division of some larger or more complex organization "a branch of Congress","botany is a branch of biology","the Germanic branch of Indo-European languages"
    • n subdivision an area composed of subdivided lots
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Webster's Revised Unabridged Dictionary
    • Subdivision A part of a thing made by subdividing. "In the decimal table, the subdivision of the cubit, as span, palm, and digit, are deduced from the shorter cubit."
    • Subdivision The act of subdividing, or separating a part into smaller parts.
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Century Dictionary and Cyclopedia
    • n subdivision The act of redividing, or separating into smaller parts.
    • n subdivision A minor division; a part of a part; specifically, in zoology and botany, a minor division of a group; a subsection: as, subdivisions of a genus.
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Chambers's Twentieth Century Dictionary
    • n Subdivision the act of subdividing: the part made by subdividing
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Etymology

Webster's Revised Unabridged Dictionary
L. subdivisio,: cf. F. subdivision,

Usage

In literature:

They are called Saulteaux, and are a subdivision of the great Algonquin family.
"On the Indian Trail" by Egerton Ryerson Young
It is a common thing for the fasciated branch to divide at the summit into a number of subdivisions.
"Vegetable Teratology" by Maxwell T. Masters
Records of later subdivisions suggest that they did not exceed two.
"A Life of William Shakespeare with portraits and facsimiles" by Sidney Lee
All these types or classes have variations and subdivisions, which call for consideration in some detail.
"Elementary Guide to Literary Criticism" by F. V. N. Painter
The teacher should follow a similar method in discovering the leading thought of the subdivisions of the poem.
"Ontario Teachers' Manuals: Literature" by Ontario Ministry of Education
Nay, more, this subdivision of functions shows itself, not only among the different parts of the same nation, but among different nations.
"The Continental Monthly, Vol. 3, No. 1 January 1863" by Various
The subdivision of the gold and silver lands, should be into tracts of one acre each, continuing and extending the present system.
"The Continental Monthly, Vol 2, No 6, December 1862" by Various
In the central and north coast district there are several large private subdivisions of excellent dairy land.
"Australia The Dairy Country" by Australia Department of External Affairs
FIEFS: The subdivisions of the Empire.
"Concordance" by Ann Wilson
Limitation and subdivision necessary, 386.
"Studies in Literature and History" by Sir Alfred Comyn Lyall
Each division and subdivision will naturally contain a topic sentence.
"Newspaper Reporting and Correspondence" by Grant Milnor Hyde
Plans for similar institutions in each of the major political and geographical subdivisions of the colony came from the London Company.
"Medicine in Virginia, 1607-1699" by Thomas P. Hughes
For this reason, it is customary to follow Bartels in his subdivision of each of the two periods of childhood into two subperiods.
"The Sexual Life of the Child" by Albert Moll
Impairment of hearing may be due to causes existing in one or other or both of these subdivisions.
"Manual of Surgery Volume Second: Extremities--Head--Neck. Sixth Edition." by Alexander Miles
Secondly, in the mass of facts so chosen he will have to distinguish between different groups and make subdivisions.
"Introduction to the Study of History" by Charles V. Langlois
Subdivision of land encourages population.
"The Last Voyage" by Lady (Annie Allnutt) Brassey
There are 255 subdivisions and about 10,000 members.
"The History of Woman Suffrage, Volume IV" by Various
Krafft-Ebing having made a profound study of this question we shall follow his subdivisions in the main.
"The Sexual Question" by August Forel
Why no subdivision of so extensive a class is necessary.
"Modern Painters Volume I (of V)" by John Ruskin
Similar to the last but paler, being one of the several recent unsatisfactory subdivisions of this genus.
"The Bird Book" by Chester A. Reed
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In news:

Fire Evacuation Lifted in Palmer Subdivision.
CLEMSON — Clemson has allowed 12 rushing plays of 20 yards or more this season, which ranks 122nd in the Football Bowl Subdivision ahead of only Rice.
Fran and Sharon Docherty were two of the more than 300 residents allowed back into their homes in the Mill Creek estates subdivision Wednesday.
Municipalization effort may require electrical infrastructure in county subdivisions.
Unoccupied home burns in NW subdivision.
San Antonio firefighters had their hands busy Thursday morning fighting a fire at an unoccupied home in the Parkwood subdivision, on the city's Northwest side.
PARKES-FORBES SUBDIVISION LOT 1 #VAR-11-02.
Drainage in Fox Run subdivision continues to be an issue as the Farragut Municipal Planning Commission sends a developer back to the drawing board at its Thursday, Feb 3 meeting.
The owners of a financially-strapped housing subdivision near Arcadia are looking for a buyer, and are behind on payments to the village for construction of a waterline.
ORANGEBURG, SC – South Carolina State will be making its third consecutive trip to the Football Championship Subdivision (FCS) playoffs.
"A dog barking out in the forest is not the same as a dog barking in a subdivision.".
MONROE — Kolton Browning returned from a foot injury to throw for 324 yards and three touchdowns as Louisiana-Monroe defeated North Texas 42-16 Saturday to earn its first winning season as a Football Bowl Subdivision team.
Kolton Browning returned from a foot injury to throw for 324 yards and three touchdowns as Louisiana-Monroe defeated North Texas 42-16 Saturday to earn its first winning season as a Football Bowl Subdivision team.
28 Hulvey Dr Stafford, VA, 22556 Subdivision: Bald Eagle Hills.
The planned location of the new Tehachapi Hospital in the Capital Hills subdivision just past the post office.
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In science:

If the vector v is primitive the valuation ν is a divisorial valuation, associated to the divisor Dv corresponding to the ray vR≥0 in any suitable subdivision Σ of σ , containing this ray.
Quasi Ordinary Singularities, Essential Divisors and Poincare Series
The flag F for Ki determines a simplex σF : ∆n → Ki in the barycentric subdivision of Ki in Definition A.6, so σF (∆) is one of the (n − m)-dimensional simplices in the associated triangulation of Ki .
Kuranishi homology and Kuranishi cohomology
K F ′ ,∆ plices of the barycentric subdivisions of K F ,∆ .
Kuranishi homology and Kuranishi cohomology
This is important in Theorem A.17, since the barycentric subdivision of a compact convex polyhedron is invariant under affine transformations, so the barycentric subdivision steps in Theorem A.7 for T ′ and Theorem A.18 for T are compatible.
Kuranishi homology and Kuranishi cohomology
E } are the simplices in the N th barycentric subdivision of ∆k for some N ≫ 0, so that
Kuranishi homology and Kuranishi cohomology
In Definition A.6 we defined the barycentric subdivision of a polyhedron, and showed how to realize it using a tent function.
Kuranishi homology and Kuranishi cohomology
Since ( k k+1 )N → 0 as N → ∞, by taking N arbitrarily large we make the simplices of the N th barycentric subdivision of ∆k arbitrarily small.
Kuranishi homology and Kuranishi cohomology
The N th barycentric subdivision of ∆k can also be realized using a tent function, combining the constructions of Definition A.6 and Theorem A.7.
Kuranishi homology and Kuranishi cohomology
To keep track of these pieces, it is convenient to use the method of Step 4 of §B in §B.4: we choose the T a such that each (∆k , τs , G∆k ) is cut into the N th barycentric subdivision of ∆k , for some N ≫ 0 independent of s ∈ S .
Kuranishi homology and Kuranishi cohomology
T m st to be a standard tent function on ∆k+1−m which cuts ∆k+1−m into its N th barycentric subdivision.
Kuranishi homology and Kuranishi cohomology
N th barycentric subdivision of ∆k−m in the previous inductive step.
Kuranishi homology and Kuranishi cohomology
Thus we can carry out Step 1 in such a way that the T a , ˜T d cut each (∆k , τs , G∆k ) into the N th barycentric subdivision of ∆k for some fixed N ≫ 0.
Kuranishi homology and Kuranishi cohomology
The issue is that when we use a standard tent function on ∆k to cut (∆k , τs , G∆k ) into its N th barycentric subdivision, we obtain (k !)N small pieces (∆kl , τs |∆kl , G∆kl ) for l in an indexing set Lk,N , where each ∆kl is a small k-simplex with a natural affine diffeomorphism ∆kl ∼= ∆k .
Kuranishi homology and Kuranishi cohomology
We may represent α by an R-linear combination of k-dimensional polyhedra P in T ; to make a singular chain, we replace each P by its barycentric subdivision into k-simplices.
Kuranishi homology and Kuranishi cohomology
Consider the T-polynomials associated with these data fi,t(x) = Xvert(Si ) Extend MS to a subdivision MS ∗ of ∆∗ by means of the reflections about coordinate hyperplanes.
Euler Characteristic of real nondegenerate tropical complete intersections
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