What's the difference between quaternion and thing?
Quaternion
Definition:
(n.) The number four.
(n.) A set of four parts, things, or person; four things taken collectively; a group of four words, phrases, circumstances, facts, or the like.
(n.) A word of four syllables; a quadrisyllable.
(n.) The quotient of two vectors, or of two directed right lines in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form.
(v. t.) To divide into quaternions, files, or companies.
Example Sentences:
(1) During visually guided movements, arm follows gaze, and the nine-dimensional rotatory configuration space for eye-head-arm-synergies (three degrees of freedom for each system) is reduced to a two-dimensional plane in the space of quaternion vectors.
(2) Many testable predictions made by quaternion models also turn up in models based on other mathematics.
(3) Quaternion models predict that eye position is represented on four channels in the oculomotor system: three for the vector components of eye position and one inversely related to gaze eccentricity and torsion.
(4) The four-component rotational operators called quaternions, which represent eye rotations in terms of their axes and angles, have several advantages over other representations of eye position (such as Fick coordinates): they provide easy computations, symmetry, a simple form for Listing's law, and useful three-dimensional plots of eye movements.
(5) In other words, angular eye positions in space (expressed as quaternions) were constrained to a two-dimensional surface.
(6) Findings 1 and 3 show that saccadic control signals accurately reflect the properties of three-dimensional rotations, as predicted by a new quaternion model of the saccadic system; models that approximate rotational kinematics using vectorial addition and integration do not predict these findings.
(7) Tweed and Vilis (Journal of Neurophysiology, 58, 832-849, 1987) have argued that quaternion algebra provides the most appropriate description of the rotations of the eye, and have derived a three-dimensional model of gaze control based on quaternion operations.
(8) A canonical unitary representation of the Euclidean group on the range space of the Gabor transform is constructed from mathematical properties of the Euclidean group and the quaternions.
(9) The positions of the arm in space were described by quaternion vectors, i.e., a particular position was described in terms of the axis and amplitude of a rotation from a reference position to that position.
(10) In this paper we present algorithms for computing eye position quaternions and eye angular velocity (not the derivative of position in three dimensions) from two search coils (not necessarily orthogonal) on one eye in two or three magnetic fields, and for locating primary position using quaternions.
(11) In our three-dimensional models, we represent eye position using four-component rotational operators called quaternions.
Thing
Definition:
(n.) Whatever exists, or is conceived to exist, as a separate entity, whether animate or inanimate; any separable or distinguishable object of thought.
(n.) An inanimate object, in distinction from a living being; any lifeless material.
(n.) A transaction or occurrence; an event; a deed.
(n.) A portion or part; something.
(n.) A diminutive or slighted object; any object viewed as merely existing; -- often used in pity or contempt.
(n.) Clothes; furniture; appurtenances; luggage; as, to pack or store one's things.
(n.) Whatever may be possessed or owned; a property; -- distinguished from person.
(n.) In Scandinavian countries, a legislative or judicial assembly.
Example Sentences:
(1) One thing seems to be noteworthy in their opinion: the bacterial resistance of the germs isolated from the urine is bigger than the one of the germs isolated from the respiratory apparatus.
(2) The curious thing, it seems to me, is that she was never criticised for it.
(3) I’ve never really had that work versus life thing; it’s all part of the same canvas.
(4) I f you haven’t got a family, you need that replaced in some way, that’s the most important thing you can do for someone in care,” says 24-year-old Chloe Juliette, herself a care leaver.
(5) Hugh Fearnley-Whittingstall tried to liven things up, but there are only so many ways to tell us to be nice to chickens.
(6) Benzaldehyde's in cherries and cherrystones and amaretto, so it's immediately a base to pair things with."
(7) The most difficult thing I've dealt with at work is ... the terminal illness of a valued colleague.
(8) Photograph: Gareth Phillips for the Guardian Because health is devolved, the Welsh government can do things differently from England.
(9) Nick Robins, head of the Climate Change Centre at HSBC, said: "If you think about low-carbon energy only in terms of carbon, then things look tough [in terms of not using coal].
(10) But do you know the thing that really bites?” he pointed to his home, which was not visible behind an overgrown hedge.
(11) One radio critic described Jacobs' late night Sunday show as a "tidying-up time, a time for wistfulness, melancholy, a recognition that there were once great things and great feelings in this world.
(12) October 27, 2013 7.27pm GMT Around the league And here’s how things look elsewhere, as we head into the fourth quarter: Cowboys 13-7 Lions Browns 17-20 Chiefs Dolphins 17-20 Patriots Bills 10-28 Saints Giants 15-0 Eagles 49ers 35-10 Jaguars 7.25pm GMT End of 3rd quarter: 49ers 35-10 Jaguars The quarter ends with the Jaguars facing a third-and-one at their own 32.
(13) The two groups had one thing in common: the casualties' mostly deliberate posttraumatic reaction; there were only 3 patients in a state of helplessness.
(14) On a weekend that sees the country celebrate 50 years of independence it is certain that despite all things – good and bad – that have taken place in 2013, the next 50 years will be transformed by personal technology, concerned citizens and the media.
(15) One of the things Yang has said he wants to investigate is: "This state we're in ... a moment when we have to negotiate our past while inventing our present."
(16) Advancing the health and rights of women is the right – and smart – thing to do for any nation hoping to remain or emerge as a leader on the global stage.
(17) Before the offer for the jungle came in she was meant to be presenting the Plus Size Awards this week, an event supporting plus-size people who are doing amazing things but are overlooked by the mainstream.
(18) Pekka Isosomppi Press counsellor, Finnish embassy, London • It may have been said tongue in cheek, but I must correct Michael Booth on one thing – his claim that no one talks about cricket in Denmark .
(19) In some ways, the Gandolfini performance that his fans may savour most is his voice work in Spike Jonze's Where the Wild Things Are (2009), the cult screen version of Maurice Sendak 's picture book classic – he voiced Carol, one of the wild things, an untamed, foul-mouthed figure.
(20) If people improved their consciousness, things would work better.