16,768 research outputs found
A Bogomol`nyi equation for intersecting domain walls
We argue that the Wess-Zumino model with quartic superpotential admits static
solutions in which three domain walls intersect at a junction. We derive an
energy bound for such junctions and show that configurations saturating it
preserve 1/4 supersymmetry.Comment: 4 pages revtex. No figures. Revised version to appear in Physical
Review Letters includes discussion of the supersymmetry algebr
Concepts and their Use for Modelling Objects and References in Programming Languages
In the paper a new programming construct, called concept, is introduced.
Concept is pair of two classes: a reference class and an object class.
Instances of the reference classes are passed-by-value and are intended to
represent objects. Instances of the object class are passed-by-reference. An
approach to programming where concepts are used instead of classes is called
concept-oriented programming (CoP). In CoP objects are represented and accessed
indirectly by means of references. The structure of concepts describes a
hierarchical space with a virtual address system. The paper describes this new
approach to programming including such mechanisms as reference resolution,
complex references, method interception, dual methods, life-cycle management
inheritance and polymorphism.Comment: 43 pages. Related papers: http://conceptoriented.com
Doctoral‐Level Counseling Students’ Experiences of Social Class Microaggressions
The authors recruited 11 doctoral‐level counseling students to participate in a study exploring the lived experiences of people who have encountered social class microaggressions (SCMs). Findings (consisting of 6 themes) suggest that SCMs are a distinct phenomenon arising from interpersonal and environmental exchanges that damage recipients. The authors present implications for counselor education and future research trajectories
Slices, slabs, and sections of the unit hypercube
Using combinatorial methods, we derive several formulas for the volume of
convex bodies obtained by intersecting a unit hypercube with a halfspace, or
with a hyperplane of codimension 1, or with a flat defined by two parallel
hyperplanes. We also describe some of the history of these problems, dating to
Polya's Ph.D. thesis, and we discuss several applications of these formulas.Comment: 11 pages; minor corrections to reference
Whirling skirts and rotating cones
Steady, dihedrally symmetric patterns with sharp peaks may be observed on a
spinning skirt, lagging behind the material flow of the fabric. These
qualitative features are captured with a minimal model of traveling waves on an
inextensible, flexible, generalized-conical sheet rotating about a fixed axis.
Conservation laws are used to reduce the dynamics to a quadrature describing a
particle in a three-parameter family of potentials. One parameter is associated
with the stress in the sheet, aNoether is the current associated with
rotational invariance, and the third is a Rossby number which indicates the
relative strength of Coriolis forces. Solutions are quantized by enforcing a
topology appropriate to a skirt and a particular choice of dihedral symmetry. A
perturbative analysis of nearly axisymmetric cones shows that Coriolis effects
are essential in establishing skirt-like solutions. Fully non-linear solutions
with three-fold symmetry are presented which bear a suggestive resemblance to
the observed patterns.Comment: two additional figures, changes to text throughout. journal version
will have a wordier abstrac
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