1997-01-19 - infinity & set membership

Header Data

From: Jim Choate <ravage@ssz.com>
To: cypherpunks@toad.com
Message Hash: 1242147d1139de6a142eaeedaf4061e82de30bc625b26ca81a7db538097eb808
Message ID: <199701192236.QAA00745@einstein>
Reply To: N/A
UTC Datetime: 1997-01-19 22:29:56 UTC
Raw Date: Sun, 19 Jan 1997 14:29:56 -0800 (PST)

Raw message

From: Jim Choate <ravage@ssz.com>
Date: Sun, 19 Jan 1997 14:29:56 -0800 (PST)
To: cypherpunks@toad.com
Subject: infinity & set membership
Message-ID: <199701192236.QAA00745@einstein>
MIME-Version: 1.0
Content-Type: text



Hi all,

"The least upper bound of a set of real numbers is often called the
supremum, the greatest lower bound its infimum. In general the supremum and
infimum of a set ARE MEMBERS OF THE SET or at least LIMITS OF SEQUENCES OF
MEMBERS OF THE SET."

[capitalization is mine]

In this case the suprenum is infinity.

Introduction to Calculus and Analysis
Courant and John
Vol. 1, pp. 97, Section e.
1965 Edition
Library of Congress: 65-16403

                                                    Jim Choate
                                                    CyberTects
                                                    ravage@ssz.com






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