Results 61 to 70 of about 704,075 (198)

Fused Collapsing for Wide BVH Construction

Computer Graphics Forum, EarlyView.
Abstract We propose a novel approach for constructing wide bounding volume hierarchies on the GPU by integrating a simple bottom‐up collapsing procedure within an existing binary bottom‐up BVH builder. Our approach directly constructs a wide BVH without traversing a temporary binary BVH as done by previous approaches and achieves 1.4 – 1.6 × lower ...
Wilhem Barbier, Mathias Paulin
wiley   +1 more source

Characterization of rings with planar, toroidal or projective planar prime ideal sum graphs

AKCE International Journal of Graphs and Combinatorics
Let R be a commutative ring with unity. The prime ideal sum graph [Formula: see text] of the ring R is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of R and two distinct vertices I and J are adjacent if and only if
Praveen Mathil, Barkha Baloda, Jitender Kumar, A. Somasundaram   +3 more
doaj   +1 more source

Genus of total graphs from rings: A survey

AKCE International Journal of Graphs and Combinatorics, 2018
Let R be a commutative ring. The total graph T Γ ( R ) of R is the undirected graph with vertex set R and two distinct vertices x and y are adjacent if x + y is a zero divisor in R . In this paper, we present a survey of results on the genus of T Γ ( R )
T. Tamizh Chelvam, T. Asir
doaj   +1 more source

On Commutativity Theorems for Rings [PDF]

Southeast Asian Bulletin of Mathematics, 2002
The author presents three commutativity theorems for rings. There are no rings satisfying the hypotheses of the first, and the second is trivial. The third, which asserts that a ring with 1 is commutative if it satisfies the identity \((x+y)^2=x^2+y^2\) and another extraneous hypothesis, is not new. In fact, \textit{C.-T.
openaire   +2 more sources

Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities

Computer Graphics Forum, EarlyView.
Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev, L. Bastian, D. Cao, N. El Amrani, P. Roetzer, V. Ehm, R. Marin, H. Nishizawa, S. Morishima, C. Theobalt, N. Navab, D. Cremers, F. Bernard, Z. Lähner, V. Golyanik   +14 more
wiley   +1 more source

Establishing Shape Correspondences: A Survey

Computer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source

Upper Cohen-Macaulay Dimension [PDF]

, 2004
In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension.
Tokuji Araya, Yoshino, Yuji, Takahashi, Ryo, Ryo Takahashi, Yuji Yoshino, Araya, Tokuji   +5 more
core   +1 more source

The Bordalo order on a commutative ring [PDF]

, 1999
summary:If $R$ is a commutative ring with identity and $\leq$ is defined by letting $a\leq b$ mean $ab=a$ or $a=b$, then $(R,\leq)$ is a partially ordered ring.
Henriksen, Melvin, Smith, F. A.
core   +2 more sources

Remarks on the commutativity of rings [PDF]

Proceedings of the American Mathematical Society, 1959
Introduction. A celebrated theorem of N. Jacobson [7] asserts that if (1) Xn(z) =x for every x in a ring R, where n(x) is an integer greater than one, then R is commutative. In a recent paper [2], I. N. Herstein has shown that it is enough to require that (1) holds for those x in R which are commutators: x= [y, z] =yz-zy of two elements of R.
openaire   +1 more source

Rethinking Merit in Calvin's Doctrine of the Atonement: Beyond Possessive Individualism

International Journal of Systematic Theology, EarlyView.
Abstract Joan Lockwood O'Donovan argues that the Reformation doctrine of grace entails a rejection of the proprietary anthropology of self‐owning individuals and its attendant notion of justice – what C. B. Macpherson termed the “theory of possessive individualism.” Although O'Donovan praises Calvin's anthropology and his account of law for its non ...
John Walker
wiley   +1 more source