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| | quaternion | (n) สมการคำนวณการหมุนในระบบ 3 มิติ เมื่อมีการหมุนด้วยมุม t ใดๆรอบแกนที่อธิบายด้วยเวคเตอร์หนึ่งหน่วย(x1, y1, z1) ซึ่งการหมุนนี้สามารถอธิบายด้วยสมการดังต่อไปนี้ q = cos(t/2) + i ( x1 * sin(t/2)) + j (y1 * sin(t/2)) + k ( z1 * sin(t/2)) |
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| | Quaternion | n. [ L. quaternio, fr. quaterni four each. See Quaternary. ] 1. The number four. [ Poetic ] [ 1913 Webster ] 2. A set of four parts, things, or person; four things taken collectively; a group of four words, phrases, circumstances, facts, or the like. [ 1913 Webster ] Delivered him to four quaternions of soldiers. Acts xii. 4. [ 1913 Webster ] Ye elements, the eldest birth
Of Nature's womb, that in quaternion run. Milton. [ 1913 Webster ] The triads and quaternions with which he loaded his sentences. Sir W. Scott. [ 1913 Webster ] 3. A word of four syllables; a quadrisyllable. [ 1913 Webster ] 4. (Math.) 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. [ 1913 Webster ] ☞ The science or calculus of quaternions is a new mathematical method, in which the conception of a quaternion is unfolded and symbolically expressed, and is applied to various classes of algebraical, geometrical, and physical questions, so as to discover theorems, and to arrive at the solution of problems. Sir W. R. Hamilton. [ 1913 Webster ] | | Quaternion | v. t. To divide into quaternions, files, or companies. Milton. [ 1913 Webster ] |
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| | four | (n) the cardinal number that is the sum of three and one, Syn. quaternity, 4, quaternion, quadruplet, quartet, foursome, quaternary, tetrad, quatern, Little Joe, IV |
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From The Collaborative International Dictionary of English v.0.48 [gcide]:
Quaternion \Qua*ter"ni*on\, v. t.
To divide into quaternions, files, or companies. --Milton.
[1913 Webster]
From The Collaborative International Dictionary of English v.0.48 [gcide]:
Quaternion \Qua*ter"ni*on\, n. [L. quaternio, fr. quaterni four
each. See {Quaternary}.]
1. The number four. [Poetic]
[1913 Webster]
2. A set of four parts, things, or person; four things taken
collectively; a group of four words, phrases,
circumstances, facts, or the like.
[1913 Webster]
Delivered him to four quaternions of soldiers.
--Acts xii. 4.
[1913 Webster]
Ye elements, the eldest birth
Of Nature's womb, that in quaternion run. --Milton.
[1913 Webster]
The triads and quaternions with which he loaded his
sentences. -- Sir W.
Scott.
[1913 Webster]
3. A word of four syllables; a quadrisyllable.
[1913 Webster]
4. (Math.) 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.
[1913 Webster]
Note: The science or calculus of quaternions is a new
mathematical method, in which the conception of a
quaternion is unfolded and symbolically expressed, and
is applied to various classes of algebraical,
geometrical, and physical questions, so as to discover
theorems, and to arrive at the solution of problems.
--Sir W. R. Hamilton.
[1913 Webster]
From WordNet (r) 3.0 (2006) [wn]:
quaternion
n 1: the cardinal number that is the sum of three and one [syn:
{four}, {4}, {IV}, {tetrad}, {quatern}, {quaternion},
{quaternary}, {quaternity}, {quartet}, {quadruplet},
{foursome}, {Little Joe}]
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