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  • Rotation matrix
  • exponential map SO(3). The BCH formula provides an explicit expression for Z = log(eXeY) in terms of a series expansion of nested commutators of X and Y. This general

  • Exponential function
  • is invertible with inverse e−x for any x in B. If xy = yx, then ex + y = exey, but this identity can fail for noncommuting x and y. Some alternative definitions

  • Derivative of the exponential map
  • power series. To handle the series expansions simply, consider first Z = log(eXeY). The log-series and the exp-series are given by log ⁡ ( A ) = ∑ k = 1 ∞

  • Baker–Campbell–Hausdorff formula
  • convergence criterion is that the log series converges for both sides of eZ = eXeY. This is guaranteed whenever ‖X‖ + ‖Y‖ < log 2, ‖Z‖ < log 2 in the Hilbert–Schmidt

  • Robert Charles Thompson
  • "Numerical values of Goldberg's coefficients in the series for 𝑙𝑜𝑔(𝑒𝑥𝑒𝑦)". Mathematics of Computation. 48 (177): 265–271. doi:10.1090/S0025-5718-1987-0866114-9

  • Exponential field
  • the usual exponential function, that is E(x) = ex, since we have ex+y = exey and e0 = 1, as required. Considering the ordered field R equipped with this

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Astrological/horoscope meaning of exey. exey means: With a Life Path 5, your numbers are (5, 14/5, 23/5, 32/5). Life path 5 shows that you entered life with a progressive attitude, with the attitude and the skills to make the world a better place. The key word in your life path is freedom. In the pursuit of freedom, you are naturally versatile, adventurous, and advanced in your thinking. You are one of those people who are always trying to find answers to the many questions that life presents. 5 for positive life path is change and continuous improvement. You want to be completely unrestrained, as the number most associated with the productive use of freedom.You are one of the most compassionate people. A life path of 5 means you appreciate with certainty the way a freedom-loving and a compassionate life. Your love of freedom extends to humanity in general, and concern for one's neighbor, the freedom and well-being, perhaps especially in the mind. A great path life of 5 is US President Abraham Lincoln who declared slave Emancipation Proclamation, and ended slavery in America. As the ultimate progressive thinkers your potential in the Government give you considerable knowledge to exercise authority on others.You are a good communicator, and you know how to motivate people around you. This can be your feature that is the strongest and be the most valuable. Because of this ability, and your amazing mind, you are a really born leader able to sell his views. This ability to sell and motivate extends to any kind of physical product in all ideas or concepts that you can undertake.They hate routine work because it gets boring, and you are not very good to stay with the daily tasks that must be completed in bitcoin?. On average, the number 5 personality live for today, and not too much about tomorrow. It is also important that you find a job that provides challenging tasks rather than routine and redundant tasks. They deal better with people, but the important thing is he person. With the ability to express yourself anytime, you have an innate ability to think through complex issues and to analyze it quickly even when it is something new.An adventure can dominate your life. This can take the form of physical or mental manifestation, but in both cases you will have the chance for exploration thrills and new ways. Of course, you belong to a group considered most secular and traveled. Obviously you do not ignore a good adventure. You take lot of risk, but often come out successful. If you do not have your own money at stake, you are even more open for a wide range of risks in your daily life. the conservative approach is simply not found in your nature.In romance, you dislike the limits imposed by love. You would like to be boundless. This does not necessarily mean you are unfaithful or promiscuous, but that does not mean you also make a good partner, you need to understand your style. A relationship that is governed on jealousy and narrow-mindedness will not work for you. You need a partner who understands your needs, is trustworthy, can see your trustworthiness, even if you are not always available and to be fully devoted. It is important that you mix with people who are different, and try those who are too serious and avoid demanding tasks.If you live on the negative side of life path 5, you are likely to be versatile, but suffer from a lack of direction, and there is confusion surrounding your ambition. Restless, discontent, and impulsive, you can choose to jump from one job to another without ever finding satisfaction with any. 5 in a negative way of life can be very irresponsible in tasks and decisions about the life of the home and business. The total pursuit of sensation and adventure in you may make you to completely ignore the feelings of those around you.

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    E: Meaning of E in the acronym exey means: The letter E has three branches of equal lenghts. These all extend from it's left side. The equal lenghts show a degree of fairness to the outside world. They extend outwards indicating a willingness to learn, think broadly and be more vigorous in understanding. B also implies endowed with good writing abilities, eloquence, resourcefulness. It displays a unique artistic nature and strong enthusaism to get out and know more.

    X: Meaning of X in the acronym exey 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 exey 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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