OP 2 and the G 2 to B 3 to D 4 to B 4 to F 4 Magic Triangle

نویسندگان

  • John Frederick Sweeney
  • Mridul Aanjaneya
چکیده

Mathematicians and physicists have long wondered why the Octionic Projective Plane (OP2), the Freudenthal – Tits Magic Square, or Magic Triangle and certain functions of the Octonions and Sedenions abruptly end. This paper lays out the various elements included in this conundra, with the assumption that irregularities and undiscovered relationships between these structures account for the anomalies. In addition to the above, this paper investigates the G2 to B3 to D4 to B4 to F4 Magic Triangle, the twisted product of S7 x S7 x G2, which leads to the Sedenions, the exceptional singularities, Kleinian singularities, Coxeter Groups H3 and H4, Polytope (3,3,5) , the 600 – cell and the binary icosahedral group.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New conditions on ground state solutions for Hamiltonian elliptic systems with gradient terms

This paper is concerned with the following elliptic system:$$ left{ begin{array}{ll} -triangle u + b(x)nabla u + V(x)u=g(x, v), -triangle v - b(x)nabla v + V(x)v=f(x, u), end{array} right. $$ for $x in {R}^{N}$, where $V $, $b$ and $W$ are 1-periodic in $x$, and $f(x,t)$, $g(x,t)$ are super-quadratic. In this paper, we give a new technique to show the boundedness of Cerami sequences and estab...

متن کامل

Totally magic cordial labeling of some graphs

A graph G is said to have a totally magic cordial labeling with constant C if there exists a mapping f : V (G) ∪ E(G) → {0, 1} such that f(a) + f(b) + f(ab) ≡ C (mod 2) for all ab ∈ E(G) and |nf (0) − nf (1)| ≤ 1, where nf (i) (i = 0, 1) is the sum of the number of vertices and edges with label i. In this paper, we give a necessary condition for an odd graph to be not totally magic cordial and ...

متن کامل

Deduplication and Group Detection using Links

!" #%$ & ' ( )+*, .# / .021"3& 4 5 "#% 6$/ 7 8 #% 9 : ; 7 . <09# = : 6 77 $ ?> & 5# , : ? . & # $@ A3& B 8 =)DCE# ? &3& & 2 .021 : F: G$@ & & H 8 I 2 G H3& E & #% / 7 3 & F I ")KJ6 L & M & N : K I ? D$@ " & 73 $@ 8 F K ! :,1 OP: 3 : : K$@# :G & 2 . & &1Q " & 73 $@ 8 G$20 P3&#% &3 # R# 6 7 7 $ " & &1K S T 4$@ B UO & R & 2 . &1K ! & 7 & 2 : ( L I #% $@ B UO & R : & V)S S R : & 7 ( 73& & #% $@ 3&#...

متن کامل

Effect of Dietary Crude Protein Level on UT-B Expression and Nitrogen Efficiency in Growing Baluchi Male Lambs Fed Low or High Concentrate Diets

An experiment was carried out to evaluate how interactions between forage to concentrate ratio and dietary crude protein level may alter nitrogen efficiency and UT-B expression in growing Baluchi male lambs. Four Baluchi male lambs [30 ± 2 kg BW] were used in a 4 × 4 latin square design with 28-d periods and a 2 × 2 factorial arrangement of dietary treatments. The treatments fed forage: concent...

متن کامل

Effective factors on risk taking behaviors of adolescences

& '( : ! " # #$% & '( ) " *) + %, ). /0 . . / 2 " 3 %! ) 4 0 % . ) "% 5 6 + #7 .) . 8 0 9" : ( ! ! 4 / :) 3 ; . < %=! /2>% ) 7 ? @ A% ) # . ?B C0 8 ; ! / D E F 3 "+ . ) : G) H 0 I #$% * : ( 8 % 7 + J K) " % " ) LMN ? 5 0 " ,+ OP Q MLOL "+ D E . K ) 7 ?0 R J 0 IS )TR 8 S J U J /J 0 U J V'% U >$0 ) I #$:. W%. XR D K ) SPSS 15.5 ) 0 7 ) I #$% K "+ 3 'Y! D ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013