This is a problem

Get a Free $20. eBook!
Way of the Inner Smile
130 pages, 25 photos
Simple. easy. Deep.
Sign in for download.
Your privacy is protected.
Tao News – click to subscribe

From Micheal Winn

Frequently Asked Questions

Product Catalog

Sequence of Courses

Overview of Tao System

Articles: Qigong, Alchemy

Teaching Schedule
Asheville & International

Who is Michael Winn?

China Dream Trip 2007

From Mantak Chia

Products

Healing Tao System

Other Products

Taoist Calligraphy

Tao T-shirts - very cool

I Ching Astrology

Taoist Flower Essences

Other Tao Products

Taoist Discussion

Search for Instructor

Healing Tao USA Goal
To unfold Tao, the Natural Way- the deep, embodied Natural Truth. To assist all beings experience their Whole, True, Original, and Immortal Self.

This is a problem

From: Steven
Subject: General
Date/Time 2008-07-09 15:13:49
Remote IP: 66.21.151.155

Message

>>When you move continually from B to C,
>>being at time t in the point X[t] on the arc BC,
>>the resulting product AB@BX[t] changes also continually from AB to AC.
>>This is a usual normal well-definition of the path AC.

But this is exactly the problem. In my example, there are two legitimate
definitions of AC. If you want to force AC to be the shortest path, then
you will necessarily have an unaccounted-for discontinuity when the
"other AC" becomes the one you want. This creates an inconsistent definition.

S

Geometrical Interpretation of Quaternions&MULTIPLICATION: (316) STALKER2002 (345) - - 2008-07-01 4:04 pm

Re: Geometrical Interpretation of Complex Numbers&MULTIPLICATION: (239) STALKER2002 (345) - - 2008-07-07 00:06 am

Multidimensional Generalization of Complex Numbers&Quaternions: (218) STALKER2002 (345) - - 2008-07-07 01:08 am

Does anybody understand that this is a new DISCOVERY?: (266) STALKER2002 (345) - - 2008-07-07 2:59 pm

NEW?: (231) Steven (657) - (Training Log) - 2008-07-08 4:20 pm

Re: NEW? after quaternions and octanions there was NO other generalization of associative algebra: (217) STALKER2002 (345) - - 2008-07-08 4:39 pm

Frobenius theorem (real division algebras): (220) STALKER2002 (345) - - 2008-07-08 5:13 pm

Frobenius theorem (real division algebras): (213) Steven (657) - (Training Log) - 2008-07-08 5:18 pm

Commutativity is not needed for quaternions and their generalization: (218) STALKER2002 (345) - - 2008-07-08 5:33 pm

I never said that: (214) Steven (657) - (Training Log) - 2008-07-08 9:17 pm

Not true: (223) Steven (657) - (Training Log) - 2008-07-08 5:14 pm

The path AC is not the same as the pair of two arcs AB and BC: (203) STALKER2002 (345) - - 2008-07-08 5:22 pm

Then how is your multiplication defined?: (208) Steven (657) - (Training Log) - 2008-07-08 9:31 pm

Re: Then how is your multiplication defined? Look how!: (214) STALKER2002 (345) - - 2008-07-09 01:08 am
Re: Then how is your multiplication defined? Look how!: (203) STALKER2002 (345) - - 2008-07-09 01:09 am

Any composition of two rotations in R^4 is also a rotation in R^4 ,group SO(4)!: (213) STALKER2002 (345) - - 2008-07-09 01:28 am

Any composition of two rotations in R^4 is also a rotation in R^4 ,group SO(4)!: (215) Steven (657) - (Training Log) - 2008-07-09 3:23 pm

Not at All! The group of arcs deffers slightly from SO(4): (211) STALKER2002 (345) - - 2008-07-09 4:01 pm
Not at All! The group of arcs differs slightly from SO(4): (222) STALKER2002 (345) - - 2008-07-09 4:05 pm

However, some questions are still to be solved..: (214) STALKER2002 (345) - - 2008-07-09 5:00 pm

Even in the AB@BC case, you have a well-defined problem (nt): (225) Steven (657) - (Training Log) - 2008-07-09 5:18 pm

I know that; I wasn't talking about that (nt): (219) Steven (657) - (Training Log) - 2008-07-09 5:17 pm

This is a problem: (227) Steven (657) - (Training Log) - 2008-07-09 3:13 pm

The shortest way to Tokyo from Moscow is through China: (221) STALKER2002 (345) - - 2008-07-09 3:49 pm

No, you can't force the continuity: (230) Steven (657) - (Training Log) - 2008-07-09 5:32 pm

The second variation of functional length is zero on geodesic path: (230) STALKER2002 (345) - - 2008-07-10 01:56 am

The FIRST, not the second variation of functional length is zero on geodesic path: (215) STALKER2002 (345) - - 2008-07-10 06:36 am

That's my point!: (234) Steven (657) - (Training Log) - 2008-07-10 2:52 pm

Of course Imust be more accurate and I care about geodesic preservation: (209) STALKER2002 (345) - - 2008-07-10 3:45 pm

For any 3 points A, O, C there exists one and only one plane AOC,containing them,: (224) STALKER2002 (345) - - 2008-07-10 4:12 pm

Yes: (215) Steven (657) - (Training Log) - 2008-07-10 11:15 pm

Correct Idea! Because in 3D case I have defined multiplication of arcs via parallel translation of o: (227) STALKER2002 (345) - - 2008-07-11 00:17 am

Antisymmetric 4-DYADS ARC[i,j]=N1(i)N2(j)-N2(i)N1(j). A New idea: (207) STALKER2002 (345) - - 2008-07-15 4:00 pm

For simple 4-DYADS ARC1[i,j]=N1(i)N2(j) and ARC2[j,k]=N2(j)N3(k) ARC1@ARC2=N1(i)N3(k) : (192) STALKER2002 (345) - - 2008-07-15 4:51 pm

This is why vector and tensor math is superior to and replaced quaternion interpretations (nt): (208) Steven (657) - (Training Log) - 2008-07-16 01:14 am

By the WAY, in 2D case both of these arcs AC correspond to the same complex number!: (217) STALKER2002 (345) - - 2008-07-10 5:07 pm

By the WAY, in 2D case both of these arcs AC correspond to the same complex number!: (214) Steven (657) - (Training Log) - 2008-07-10 10:49 pm

[Top of List] [Previous Thread] [Next Thread]

This Forum is for posting on topics of interest to the Taoist (Daoist) community. Tao is exceptionally broad. Will your post add to the collective balance, harmony, & wisdom? Posts/links deemed obscene, prejudicial, irrelevant, inflammatory, or falsely impersonating others may be removed at Healing Tao USA's discretion. The Forum community thanks you for respecting the registration privilege!

Healing Tao USA Discussion Forums.

Both Logon and Password are case sensitive
Login Here
NAME:		To register for both Forums CLICK HERE.
PASSWORD:		To find your Logon Name or Password CLICK HERE
	Remember my Name and Password

Disclaimer: Opinions expressed here may not be in agreement with those of Healing Tao USA Inc. and it's representatives. The above parties are not responsible in any manner whatsoever for any injury or health condition that may occur through following the opinions expressed here. Consult with your physician before starting any practice program.

Healing Tao USA

Qigong Fundamentals

Fusion of Five Elements