Thermocouple assembly Patent

Design and characteristics of thermocouples consisting of flexible tape for improved attachment to temperature sourc

A representation of the natural numbers by means of cycle-numbers, with consequences in number theory

In this paper we give rules for creating a number triangle T in a manner analogous to that for producing Pascal's arithmetic triangle; but all of its elements belong to {0, 1}, and cycling of its rows is involved in the creation. The method of construction of any one row of T from its preceding rows will be defined, and that, together with starting and boundary conditions, will suffice to define the whole triangle, by sequential continuation. We shall use this triangle in order to define the so-called cycle-numbers, which can be mapped to the natural numbers. T will be called the 'cyclenumber triangle'. First we shall give some theorems about relationships between the cyclenumbers and the natural numbers, and discuss the cycling of patterns within the triangle's rows and diagonals. We then begin a study of figures (i.e. (0,1)- patterns, found on lines, triangles and squares, etc.) within T. In particular, we shall seek relationships which tell us something about the prime numbers. For our later studies, we turn the triangle onto its side and work with a doubly-infinite matrix C. We shall find that a great deal of cycling of figures occurs within T and C, and we exploit this fact whenever we can. The phenomenon of cycling patterns leads us to muse upon a 'music of the integers', indeed a 'symphony of the integers', being played out on the cycle-number triangle or on C. Like Pythagoras and his 'music of the spheres', we may well be the only persons capable of hearing it!

Lessons Learned in Over 31 Years in Agricultural Economics

Teaching/Communication/Extension/Profession,

MORALE AND FACULTY DEVELOPMENT IN AGRICULTURAL ECONOMICS: DISCUSSION

Teaching/Communication/Extension/Profession,

MARKETS AND YOU

Marketing,

Rana pretiosa

Number of Pages: 4Integrative BiologyGeological Science

Weed control strategies in organically grown carrots

This paper outlines a study to integrate elements of cultural, thermal and mechanical control methods in the production of late maincrop drilled organic carrots. Agronomic and economic findings are discusse

Opening the Classroom Door - A Survey of Middle Grades Teachers Who Mentor Preservice Teachers— Lessons from Clinical Partnerships and Implications for Practice

Mentor teachers that participate in school-university clinical experiences have a unique opportunity to support preservice middle grades teachers’ development and improve the schooling of young adolescents. This article investigates an early clinical experience and presents data from a survey of 38 middle school teachers who served as mentor teachers. Findings address how middle grades teachers view their role as mentors, their perceptions of the clinical experience as a collaborative learning partnership, and concludes with suggestions to improve clinical experiences for preservice middle grades teacher candidates