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angulation

Definitions

  • WordNet 3.6
    • n angulation the act of making angulate (having corners)
    • n angulation the precise measurement of angles
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Webster's Revised Unabridged Dictionary
    • n Angulation A making angular; angular formation.
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Century Dictionary and Cyclopedia
    • n angulation A formation of angles; the state of being angulated.
    • ***

Usage

In literature:

St. Angule put to death, one of our holiest men, At London, of that see the godly bishop then.
"Character Sketches of Romance, Fiction and the Drama, Vol 1" by The Rev. E. Cobham Brewer, LL.D.
Aperture oblong, entire, angulated below; peristome incomplete, thin, even-edged.
"Voyage Of H.M.S. Rattlesnake, Vol. 2 (of 2)" by John MacGillivray
The tutelary deity of the caste is Kalapat, who resides at Talmul in Angul District.
"The Tribes and Castes of the Central Provinces of India - Volume IV of IV" by R.V. Russell
Anal loop: Odonata; the loop formed by the angulations of 1st anal vein.
"Explanation of Terms Used in Entomology" by John. B. Smith
This secures apposition of the fragments with slight forward angulation at the seat of fracture.
"Manual of Surgery Volume Second: Extremities--Head--Neck. Sixth Edition." by Alexander Miles
It is more apt to have its margin angulated, though all the species occasionally have angulated leaves.
"Trees of the Northern United States" by Austin C. Apgar
Pores ample, angulate, at length radiate-dentate.
"The North American Slime-Moulds" by Thomas H. (Thomas Huston) MacBride
The wings are not angulated, and the antennae of the males are pectinated.
"Butterflies and Moths" by William S. Furneaux
Corolla rotate, 5-angulate, plicate in the bud.
"The Manual of the Botany of the Northern United States" by Asa Gray
The way in which the fore- and hind-limbs are angulated is considerably different in the two cases.
"The Cambridge Natural History, Vol X., Mammalia" by Frank Evers Beddard
They have given their name to the Khondmals, a subdivision of Angul district in Orissa: area, 800 sq.
"Encyclopaedia Britannica, 11th Edition, Volume 15, Slice 7" by Various
Mouth angulated above and below.
"Our British Snails" by John William Horsley
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In news:

Siemens VAI Metals Technologies received an order from Jindal Steel & Power Ltd for the supply of a new single-strand slab caster to be built at Angul in the Indian.
AP and lateral views of the left tibia and fibula reveal ununited fractures, medial-posterior angulation of the distal fragments, sclerosis at the fracture margins, and a multilaminar periosteal response (figure 1).
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In science:

We deal here with d-angulations with a boundary.
A bijection for triangulations, quadrangulations, pentagulations, etc
We call p-gonal d-angulation a map having one marked face of degree p, called boundary face, whose contour is simple (its vertices are all distinct) and all the other faces of degree d.
A bijection for triangulations, quadrangulations, pentagulations, etc
We call p-annular d-angulation a face-rooted p-gonal d-angulation whose root-face is not the boundary face.
A bijection for triangulations, quadrangulations, pentagulations, etc
Our goal is to obtain a bijection for p-annular d-angulations of girth d by a method similar to the one of the previous section: we first exhibit a canonical orientation for these maps and then consider the restriction of the master bijection to the canonical orientations.
A bijection for triangulations, quadrangulations, pentagulations, etc
However, an additional difficulty arises: one needs to factorize p-annular d-angulations into two parts, one being a d-angulation of girth d (without boundary) and the other being a non-separated p-annular d-angulation of girth d (see definitions below).
A bijection for triangulations, quadrangulations, pentagulations, etc
The sum of the weights of the boundary vertices in a pseudo d/(d− 2)orientation of a p-annular d-angulation is dp − p − d.
A bijection for triangulations, quadrangulations, pentagulations, etc
Proposition 19. A p-annular d-angulation A admits a pseudo d/(d−2)-orientation if and only if it has girth d.
A bijection for triangulations, quadrangulations, pentagulations, etc
We now consider a p-annular d-angulation A of girth d and prove that it admits a pseudo d/(d− 2)-orientation.
A bijection for triangulations, quadrangulations, pentagulations, etc
First we explain how to d-angulate the interior of the boundary face of A while keeping the girth equal to d.
A bijection for triangulations, quadrangulations, pentagulations, etc
Let A′ be any p-gonal d-angulation of girth d.
A bijection for triangulations, quadrangulations, pentagulations, etc
CMB polarization fluctuations on large angul ar scales are thus probably at the 0.1 µ K level and their detection is therefore very hard.
Workshop summary and the future
The maximal collections of non-crossing m-diagonals in an nm + 2-gon (resp. in a punctured nm − m + 1-gon) correspond to m + 2-angulations of the polygon.
Cluster categories, m-cluster categories and diagonals in polygons
In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras.
Derived equivalences in n-angulated categories
We construct derived equivalences in the context of n-angulated categories and generalize some results of Hu, K ¨onig and Xi in .
Derived equivalences in n-angulated categories
By the result of Geiss, Keller, Oppermann, every (n − 2)-cluster tilting subcategory which is closed under Sn−2 is an n-angulated category.
Derived equivalences in n-angulated categories
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