Re: [BLACKBOX] BlackBox 1.6 final version - COMPLEX datatypes?

From: Douglas G. Danforth <"Douglas>
Date: Sun, 5 Jul 2009 11:22:06 -0700

----boundary-LibPST-iamunique-2000707565_-_- Content-type: text/plain Robert wrote: Hi There has been little discussion of 'What (computer) Complex numbers are?' and 'What (computer) Complex numbers do/should do?' in this thread. WHAT ARE Complex NUMBERS? The Oakwood guidelines http://www.oberon2005.ru/paper/bk1995-01e.pdf suggest 'Polar format' or 'Cartesian Format' as options. I think most people would favour Cartesian format. I think the preference would depend upon the type of operations one most frequently uses. In polar representation the square root function entails dividing the phase by 2 and taking the square root of the magnitude. Also the reciprocal is slightly simpler in polar coordinates. What I would really like to see is a representation that encompasses both Cartesian and Polar such that the decision of which is desired (output) is deferred until the very end. I do not know of such a representation. -Doug Danforth ---- To unsubscribe, send a message with body "SIGNOFF BLACKBOX" to LISTSERV{([at]})nowhere.xy ----boundary-LibPST-iamunique-2000707565_-_- Content-type: application/rtf Content-transfer-encoding: base64 Content-Disposition: attachment; filename="rtf-body.rtf" e1xydGYxXGFuc2lcYW5zaWNwZzEyNTJcZnJvbWh0bWwxIFxkZWZmMHtcZm9udHRibA0Ke1xmMFxm c3dpc3NcZmNoYXJzZXQwIEFyaWFsO30NCntcZjFcZm1vZGVybiBDb3VyaWVyIE5ldzt9DQp7XGYy XGZuaWxcZmNoYXJzZXQyIFN5bWJvbDt9DQp7XGYzXGZtb2Rlcm5cZmNoYXJzZXQwIENvdXJpZXIg TmV3O319DQp7XGNvbG9ydGJsXHJlZDBcZ3JlZW4wXGJsdWUwO1xyZWQwXGdyZWVuMFxibHVlMjU1 O30NClx1YzFccGFyZFxwbGFpblxkZWZ0YWIzNjAgXGYwXGZzMjQgDQp7XCpcaHRtbHRhZzI0MyA8 IURPQ1RZUEUgaHRtbCBQVUJMSUMgIi0vL1czQy8vRFREIEhUTUwgNC4wMSBUcmFuc2l0aW9uYWwv L0VOIj59DQp7XCpcaHRtbHRhZzMgXHBhciB9DQp7XCpcaHRtbHRhZzE5IDxodG1sPn0NCntcKlxo dG1sdGFnMiBccGFyIH0NCntcKlxodG1sdGFnMzQgPGhlYWQ+fQ0Ke1wqXGh0bWx0YWcxIFxwYXIg 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