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  • Matsumoto's theorem (group theory)
  • transformed into the second by repeatedly transforming xyxy... to yxyx... (or vice versa) where xyxy... = yxyx... is one of the defining relations of the

  • Square (algebra)
  • x y = x x y y = x 2 y 2 . {\displaystyle \forall x,y\in A\quad (xy)^{2}=xyxy=xxyy=x^{2}y^{2}.} In the language of quadratic forms, this equality says

  • Knuth–Bendix completion algorithm
  • xyxyx^{3}} by overlapping (1) and (5), we get x y x y = y 2 x 2 {\displaystyle xyxy=y^{2}x^{2}} , so we add the rule These obsolete rules (4) and (5), so we

  • Coxeter group
  • x y x y = 1 {\displaystyle xyxy=1} implies that x y = x ( x y x y ) y = ( x x ) y x ( y y ) = y x {\displaystyle xy=x(xyxy)y=(xx)yx(yy)=yx} . Alternatively

  • Catalan number
  • For example, the following are the Dyck words up to length 6: XY XXYY     XYXY XXXYYY     XYXXYY     XYXYXY     XXYYXY     XXYXYY Re-interpreting the symbol

  • Magnetic levitation
  • stand for X and Y direction movement. From top to bottom, the order comes in XYXY that cross each other evenly and same axis were interlaced to control actuation

  • Heisenberg group
  • rotations by 90°. The other reflections are xyx and yxy, and rotation by 180° is xyxy (= yxyx). The Lie algebra h {\displaystyle {\mathfrak {h}}} of the Heisenberg

  • Rotation formalisms in three dimensions
  • square: the bivector x̂ŷ describes the xy-plane. Its square is (x̂ŷ)2 = x̂ŷx̂ŷ. Because the unit basis vectors are orthogonal to each other, the geometric

  • Opposite ring
  • x 2 y x + 3 y x y , {\displaystyle {\begin{aligned}(2x^{2}yx+3yxy)*(xyxy+1)&=(xyxy+1)\cdot (2x^{2}yx+3yxy)\\&=2xyxyx^{2}yx+3xyxy^{2}xy+2x^{2}yx+3yxy,\end{aligned}}}

  • Shang Yunxiang
  • demonstrating Shang style Xing Yi on YouTube Li Wenjun demonstrating Shang style Xing Yi on YouTube http://www.chinafrominside.com/ma/xyxy/diguoyong.html

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Astrological/horoscope meaning of xyxy. xyxy means: With a Life Path 8, your numbers are (8, 17/8, 26/8, 35/8). The Life Path 8 suggests that you entered this life armed with a plan to manage, organize and govern. They are very ambitious and goal oriented. They want to use your goals, their organizational skills and efficient approach to carve a satisfying niche for themselves. If you are a positive 8 equipped with enormous potential to develop large programs and ideas, and also possess the toughness and independence, you follow to the end. In short, you are born to be a leader.They know how to manage themselves and their environment. Your ability to judge the character and potential of the people around you works to your advantage. Much of the success in life comes from, how hard you work.This way of life is most likely to produce workaholics. But your ability to recognize and attack tasks in your efforts makes you able to draw the right people. It is a quality of inspiration in your makeup that you can be a great leader. They are practical and stable in their pursuit of great goals, and you have the courage, when it comes to taking on great responsibilities and opportunities to strive forward.With the life path number 8 you are focused on learning the satisfactions that are in the material world. The Life Path 8 produces many powerful people, confident and materially successful. Most of your concerns relate to money and learning the power that it brings. With the proper handling of your financial resources, you have the potential of becoming extremely wealthy.This way of life is perhaps their most concern as they are desirous of status as the ultimate measure of success. You want to be recognized for your hard work and achievements. Reaching the honors and acceptance in the management of the club is very important. Given these, you are suitable for doing very well and competing in the business world or the political arena.In relationships you are frank, honest and firm. You can be very romantic, but are careful that you are not too busy and preoccupied to show it. Lavish gifts is not always an adequate replacement for your dedication and personal affection. You have to mitigate a great need for close personal relationships and to somehow soften your style. You need time for love and keep it as a major project in your life.The negative 8 is dictatorial and often suppresses the enthusiasm of colleagues and others around your efforts. Often the strength of their own personality excludes close feelings for other people with whom they come into contact. Gains and material rewards are often issues of the utmost importance, even at the expense of family, home and rest. Dedication to success can become an obsession. Emotional feelings are often suppressed by the negative 8, isolation and loneliness are paramount. All Life Path 8 people must avoid discounting the opinions of others.

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    X: Meaning of X in the acronym xyxy means: X is a cross bettween two arms of exactly the same lenght. It also balances on two ends at the bottom. It looks like Y with the bottom ends merged in the middle. X is stable, responsible, gorgeous, and spiritual as it opens upwards. X also shows enlightenment as it seeks to explore by extending its arms.

    Y: Meaning of Y in the acronym xyxy means: Y is a mystic character. It lies on one leg spreading two arms out upwards and outwards. Y seems to be yearning for something from above. It is mystic, reserved, affecting yet self-governing. The separate arms shows why is separate and it could also be troublesome if it receives mystical powers.

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