141 research outputs found
A simple proof of the Markoff conjecture for prime powers
We give a simple and independent proof of the result of Jack Button and Paul
Schmutz that the Markoff conjecture on the uniqueness of the Markoff triples
(a,b,c), where a, b, and c are in increasing order, holds whenever is a
prime power.Comment: 5 pages, no figure
Your Pressure Cooker: How to Choose It and How to Use it for Canning
Perhaps more people would be willing to use pressure cookers if they knew more about them and the way they should be operated. Briefly discussed in the following pages are some of the pertinent facts relative to the choice of a new cooker and to the operation of both old and new ones
Selecting Your Gas Stove
From the number of inquiries received during the past two years it is evident that people who are buying new gas stoves are aware that there is more to be considered than price and appearance. The questions asked have been very much the same. The most important and typical of these questions have been chosen and answered here in a form which we hope will be helpful to a buyer
Your Pressure Cooker: How to Choose It, How to Use it for Canning
Perhaps more people would be willing to use pressure cookers if they knew more about them and the way they should be operated. Briefly discussed in the following pages are some of the pertinent facts relative to the choice of a new cooker and to the operation of both old and new ones
Portable Electric Home Milk Pasteurizers
Two batch-type and one in-the-bottle type home milk pasteurizers were investigated to determine whether they comply with U.S. Public Health code temperature and time requirements for pasteurizers
EC9990 Simple Equipment for the Pasteurization of Milk
Extension Circular 9990 This circular is about simple equipment for the pasteurization of milk. It lists equipment needed, pasteurization techniques, cooling, storage and disadvantages and advantages
Integral Solutions of Markov-Hurwitz Equations
AbstractIn this paper, a characterization for all pairs (a, n) with a ≥ 2(n − 1)1/2 for which the equation Ma, n: x21+ · · · + x2n = ax1 · · · xn has positive integral solutions is given. It is known that for any pair (a, n), the integral solutions of Ma, n can be expressed as orbits of a finite set of fundamental solutions under the action of a group of automorphisms. Also presented in this paper are two very different constructions that yield sequences of equations whose sets of fundamental solutions grow without bound
A Study of Five Commercial Electric Stoves
Five commercial electric stoves having major variations in types of surface units, in the construction, lining, and insulation of the oven, and in the retail price were studied to determine (1) the efficiency and time of heating of the various surface units, and (2) the merits of differently constructed ovens
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