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The Cayley-Dickson CalculatorFind the product of any two of the first one billion Cayley-Dickson basis vectors.
http://www.jwbales.us/
Find the product of any two of the first one billion Cayley-Dickson basis vectors.
http://www.jwbales.us/
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Individual
John Bales
10565 U●●●●●●●80 West
PO ●●●210
Wa●●ly , Alabama, 36879-0210
United States US
View this contact
Individual
John Bales
10565 U●●●●●●●80 West
PO ●●●210
Wa●●ly , Alabama, 36879-0210
United States US
View this contact
Individual
John Bales
10565 U●●●●●●●80 West
PO ●●●210
Wa●●ly , Alabama, 36879-0210
United States US
View this contact
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The Cayley-Dickson Calculator | jwbales.us Reviews
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Find the product of any two of the first one billion Cayley-Dickson basis vectors.
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Cayley-Dickson Products: A List
http://www.jwbales.us/cdproducts.html
Alternate Versions of the Cayley-Dickson Doubling Process. All the following presupposes that the basis vectors are defined recursively as given below, not for other methods of indexing. 0) for all p≥0. For all p≥0. Suppose multiplication is defined on elements of a ring K with identity 1 and suppose there is an involution * on K satisfying (xy)*=y*x*, (x y)*=x* y* and a norm x satisfying x. A doubling product on KxK is a product on ordered pairs of elements of K for which. A,b)(a,b)*=( a. Is the one use...
Sedenion RPN Calculator
http://www.jwbales.us/rpnSedenion.html
The Sedenion RPN Calculator. Software (2015) John Wayland Bales under the GNU General Public License. Before using the calculator one must first SELECT. One of the eight Cayley-Dickson doubling products. Select a doubling product. Ca - b*d, da* bc). Ca - db*, a*d cb). Ac - b*d, da* bc). Ac - db*, a*d cb). Ca - bd*, ad c*b). Ca - d*b, da bc*). Ac - bd*, ad c*b). Ac - d*b, da bc*). There exist only eight possible Cayley-Dickson doubling product P. And their respective 'transposes' P.
Clifford Algebra Multiplication Table
http://www.jwbales.us/cliffordproduct.html
Multiplication Table for Three Dimensional Clifford Algebra (e. Color coded for sign patterns. Evolution rules for creating higher dimensional tables. John W. Bales, Prof., Dept. of Mathematics, Tuskegee University.
Octonion RPN Calculator
http://www.jwbales.us/rpnOctonion.html
The Octonion RPN Calculator. Software (2009) John Wayland Bales under the GNU General Public License. A,b)(c,d)=(ac-db*,a*d cb). Hearts;♥♥. To illustrate one of the Moufang identities, for example Z(X(ZY) = ( ZX)Z)Y, perform the following operations:. Select random vectors X, Y and Z. Perform the operations on the left side of the identity. Z RCL ENTER (Since Z should already be in the register, you don't actually have to recall it.). Y RCL × ENTER. X RCL SWAP × ENTER. Z RCL SWAP ×. X RCL × ENTER.
Sedenion Product Calculator
http://www.jwbales.us/sedenion.html
The Sedenion Product Calculator. Software (2009) John Wayland Bales under the GNU General Public License. X" OnClick="randFill(this.form,0,0)". Y" OnClick="randFill(this.form,1,0)". X" OnClick="randFill(this.form,0,1)". Y" OnClick="randFill(this.form,1,1)". Xy ÷( x · y ) =. Entitled "Eigentheory of Cayley-Dickson Algebras" by Biss, Christensen, Dugger and Isaksen. Lee lemma 4.4 p. 9 and Thm. 8.3 p 16 which together imply that in the Cayley-Dickson space of dimension 2. Xy ≤(√2). The calculator can be pla...
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The Cayley-Dickson Calculator
Software (2009) John Wayland Bales under the GNU General Public License. The universal real Cayley-Dickson algebra. Is an infinite dimensional vector inner product space with Euclidean norm consisting of all sequences of real numbers of the form. The canonical basis vectors for this space are denoted i. Real numbers are identified with sequences of the form. Complex numbers are identified with sequences of the form. Quaternions are identified with sequences of the form. And for each element a,b ε. The pr...
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Emily's Playhouse Photos - 1. Emily's Playhouse Weeks 2&3. American Girl Doll Armoires. Welcome to John and Nancy's Website. This is a fun place for us to share our hobbies and projects. Is where Nancy creates clothing for our grandchildren, and doll dresses for their American Girl Dolls. Was a creation by Grandpa. Album is a small sample of the American Girl doll dresses Nancy has created. Emily and Garrett's Playhouse. Features some Christmas gifts for our granddaughters. The site is a work in progress.
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I'm Jackson Balling, and this is my music blog. REVIEW: I The Mighty - Connector. Has been on a trajectory of success ever since their signing to Equal Vision Records in 2011, releasing the impressive Karma Never Sleeps. EP and their spectacular debut full-length Satori. Everything the band manages to do is beyond the scope of many bands within their genre commonly possess; something which shouldn’t be much of a surprise by now. Closes out with the final piece of the band’s “Frame” tril...The unique elem...
