Results 121 to 130 of about 25,572 (317)

The geometry of independence tree models with hidden variables [PDF]

, 2010
In this paper we investigate the geometry of undirected discrete graphical models of trees when all the variables in the system are binary, where leaves represent the observable variables and where the inner nodes are unobserved.
Zwiernik, Piotr, Smith, J. Q.
core  

Influence of Structural and Environmental Parameters on Solar Air Collector Performance

Energy Science &Engineering, EarlyView.
Increasing air gap depth and mass flow rate significantly enhances the thermal performance of solar air collectors, with optimal performance achieved at an 8.5 cm air gap and 0.01318 kg/s mass flow rate. Air gap depth is identified as the dominant factor influencing system efficiency.
Quankun Zhu, István Farkas, János Buzas   +2 more
wiley   +1 more source

Dynamic geometry: An agent for the reunification of algebra and geometry

Pythagoras, 2005
This paper investigates the degree of separation or unity between the algebraic and geometric modes of thought of students in tertiary education. Case studies indicate that as a student is inducted into the use of algebra the insightful and visual ...
Meira Hockman
doaj   +1 more source

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

International Journal for Numerical Methods in Fluids, EarlyView.
This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro, David M. Williams, Hiroaki Nishikawa   +2 more
wiley   +1 more source

Introduction to Derived Algebraic Geometry

openDerived Algebraic Geometry arises from the interplay between classical algebraic geometry, homotopy theory, and higher category theory. Building on the work of Grothendieck, Verdier, and Illusie, the theory developed through Quillen’s homotopical ...
DE PIERI, JACOPO
core  

Geometry of Algebraic Curves

, 2011
The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves.
Cornalba, Maurizio, Griffiths, Phillip A, Griffiths P. A., Arbarello, Enrico, Enrico Arbarello, Phillip A. Griffiths, Maurizio Cornalba, Arbarello E., CORNALBA, MAURIZIO DUILIO, Phillip Griffiths   +9 more
core   +1 more source

Subspace Acceleration for Efficient Nonlinear Water Wave Simulation

International Journal for Numerical Methods in Fluids, EarlyView.
We introduce an exponentially weighted subspace acceleration technique to reduce GMRES iterations for solving the Poisson equation with time‐dependent coefficients in nonlinear, dispersive free‐surface flows governed by the incompressible Navier‐Stokes equations. The method significantly reduces memory requirements and computational complexity compared
Rasmus Kleist Hørlyck Sørensen, Margherita Guido, Allan Peter Engsig‐Karup, Daniel Kressner   +3 more
wiley   +1 more source

Constitutive and Representational Algebra-Geometry Relations: A Philosophical Analysis of Algebraic Geometry, Algebraic Topology, and Derived Algebraic Geometry

In contemporary mathematics, algebra and geometry intertwine in diverse and subtle ways. This paper distinguishes two fundamentally different modes of algebra--geometry relations: constitutive and representational. In algebraic geometry (AG), the algebraic structure is constitutive of the geometric object: the geometry exists as an intrinsic ...
openaire   +2 more sources

Algebra and geometry of camera resectioning

Mathematics of Computation
We study algebraic varieties associated with the camera resectioning problem. We characterize these resectioning varieties’ multigraded vanishing ideals using Gröbner basis techniques. As an application, we derive and re-interpret celebrated results in geometric computer vision related to camera-point duality. We also clarify some relationships between
Erin Connelly, Timothy Duff, Jessie Loucks-Tavitas   +2 more
openaire   +3 more sources

Colourings of Uniform Group Divisible Designs and Maximum Packings

Journal of Combinatorial Designs, EarlyView.
ABSTRACT A weak c $c$‐colouring of a design is an assignment of colours to its points from a set of c $c$ available colours, such that there are no monochromatic blocks. A colouring of a design is block‐equitable, if for each block, the number of points coloured with any available pair of colours differ by at most one.
Andrea C. Burgess, Peter Danziger, Diane Donovan, Tara Kemp, James G. Lefevre, David A. Pike, E. Şule Yazıcı   +6 more
wiley   +1 more source