منابع مشابه
Hooks and Shifts 1 Running head: HOOKS AND SHIFTS Hooks and Shifts in Instrumented Mathematics Learning
This paper presents and analyzes vignettes selected from empirical data gathered in a designbased research study investigating the microgenesis of proportional reasoning through technology-mediated embodied interaction. 22 Grades 4-6 students participated in individual or paired semi-structured clinical interviews in which they engaged in problem-solving activities involving remote manipulation...
متن کاملExcluding hooks and their complements
The celebrated Erdős-Hajnal conjecture states that for every n-vertex undirected graph H there exists ε(H) > 0 such that every graph G that does not contain H as an induced subgraph contains a clique or an independent set of size at least n. A weaker version of the conjecture states that the polynomial-size clique/independent set phenomenon occurs if one excludes both H and its complement H. We...
متن کاملOn hooks of Young diagrams
The well-known fact that there is always one more addable than removable box for a Young diagram is generalized to arbitrary hooks. As an application, this implies immediately a simple proof of a conjecture of Regev and Vershik 3] for which inductive proofs have recently been given by Regev and Zeilberger 4] and Janson 1].
متن کاملReusing Application Frameworks Through Hooks
Object-oriented frameworks can be complex. Often, considerable time is needed to understand the framework, including not only what the framework does, but also how to use it. Techniques for documenting the design of a framework already exist, but less work has been done on documenting how to use the framework. We have developed the notion of hooks as a means of representing knowledge about the ...
متن کاملMechanics of plant fruit hooks.
Hook-like surface structures, observed in some plant species, play an important role in the process of plant growth and seed dispersal. In this study, we developed an elastic model and further used it to investigate the mechanical behaviour of fruit hooks in four plant species, previously measured in an experimental study. Based on Euler-Bernoulli beam theory, the force-displacement relationshi...
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ژورنال
عنوان ژورنال: British Journal of Ophthalmology
سال: 1955
ISSN: 0007-1161
DOI: 10.1136/bjo.39.1.54