ARTICLES Kirkman’s Schoolgirls Wearing Hats and Walking through Fields of Numbers
نویسنده
چکیده
Imagine fifteen young ladies at the Emmy Noether Boarding School—Anita, Barb, Carol, Doris, Ellen, Fran, Gail, Helen, Ivy, Julia, Kali, Lori, Mary, Noel, and Olive. Every day, they walk to school in the Official ENBS Formation, namely, in five rows of three each. One of the ENBS rules is that during the walk, a student may only talk with the other students in her row of three. These fifteen are all good friends and like to talk with each other—and they are all mathematically inclined. One day Julia says, “I wonder if it’s possible for us to walk to school in the Official Formation in such a way that we all have a chance to talk with each other at least once a week?” “But that means nobody walks with anybody else in a line more than once a week,” observes Anita. “I’ll bet we can do that,” concludes Lori. “Let’s get to work.” And what they came up with is the schedule in TABLE 1.
منابع مشابه
Can Kirkman's Schoolgirls Walk Abreast by Forming Arithmetic Progressions?
A Kirkman triple system of order v, whose point set is consecutively numbered, is called smooth, if for each parallel class there is a number d, such that each triple of the parallel class forms an arithmetic progression modulo v with common difference d. It will be shown that smooth Kirkman triple systems of order v exist, if and only if v is a power of 3. 1 Smooth Kirkman triple systems The f...
متن کاملبررسی تأثیر کفی دارای بافت برجسته به صورت یک طرفه بر تقارن تحمل وزن و پارامترهای راه رفتن در بیماران سکته مغزی مزمن
Objective Weight-bearing asymmetry is one of the main causes of balance disturbances in patients with hemiparesis and could cause standing problems and gait abnormalities for them. The purpose of this study was to investigate the immediate effects of wearing unilateral textured insoles on the symmetry of weight bearing during standing and gait parameters of patients with chronic ...
متن کاملGenre Analysis of ELT and Nursing Academic Written Discourse through Introduction
Since Swales’ (1981, 1990) CARS model work on the move structure of research articles, studies on genre analysis have been carried out amongst which works on different parts of research articles in various disciplines has gained a considerable literature. This study aims to investigate the rhetorical structure of the Introduction sections of articles in two fields of English Language Teaching (...
متن کاملبررسی تأثیر ارتزهای مچ پا-پایی بر متغیرهای راهرفتن و تعادل افراد سکته مغزی: مطالعه مروری
Objective Stroke occurs when the supply of blood to the brain is either interrupted or reduced. The clinical presentation varies from minor neurological symptoms to severe deficits, depending on the location and the size of the brain lesion. Hemiparesis is one of the most striking features in the acute phase. Many other deficits may also be present, including postural imbalance. All persistent ...
متن کاملKnowledge Translation and an Assessment of its Effectiveness in Medical Fields
Background and Aim: Known by different titles in Iran and worldwide, knowledge translation (KT) has been introduced to push the knowledge from theory to action. In medicine and healthcare research fields, KT reads as needs assessment procedures, producing effective knowledge, taking into account all types of audiences, knowledge synthesis, appraisal, and monitoring sustained knowledge use. This...
متن کامل