Elementary Calculus: An Infinitesimal Approach, Second by H. Jerome Keisler

By H. Jerome Keisler

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Extra resources for Elementary Calculus: An Infinitesimal Approach, Second Edition

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L. W. ALVAREZ) . 36 ¯. Amaldi magnetic monopole d e t e c t o r » developed by t h e Alvarez g r o u p . O n e can easily recognize t h e two coils (each of i V = 1 0 8 t u r n s ) and t h e slotted, air-driven wheel of a diameter of approximately 30 cm (1 foot) which is s u p p o r t e d b y an air bearing system. T h e samples were carried in t h e small holes drilled near t h e inner diameter of t h e slotted wheel which easily attained 100 revolu› tions per second. TABLE II . - Total amount of material run through the electromagnetic monopole detector (Alvarez group).

T h e authors arrive at t h e conclusion t h a t t h e area where almost all Dirac poles should be deposited is a circle of about 10 k m radius. Finally if a globule remains attached t o a relatively heavy object, for example, a snow flake, t h e gravitational force will be not negligible any m o r e . T h e snow will also drift with wind and therefore a uniform spreading o u t of t h e monopoles should take place over t h e pole area m e n t i o n e d above. 6 • 10 4 s) over t h e entire E a r t h (^4=5 - 1 0 1 8 c m 2 ) times a factor .

On the Dirac magnetic poles 27 T h e first search for poles, m a d e by MALKU S in 1 9 51 [ 4 0 ], is an example of t y p e C - I I experiment. If the cosmic-ray primaries incident on t h e u p p e r atmosphere p r o d u c e pairs of poles, a large fraction of these should loose their energy a n d become rapidly thermalized in t h e a t m o s p h e r e . T h e t h e r m a l monopoles will collect oxygen molecules and form «globules» as described in Sect. 2*5, whose radius may be of t h e order of 1 0 - 7 cm.

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