इंग्रजी मध्ये QUATERNION म्हणजे काय?
चतुष्कोण
गणित मध्ये, चतुर्थांश संख्या प्रणाली आहेत जी जटिल संख्या वाढवते. इ.स. 1843 मध्ये आयरिश गणितज्ञ विल्यम रोवन हैमिल्टन यांनी प्रथम वर्णन केले होते आणि तीन-मितींच्या जागा मध्ये यांत्रिकी वर लागू. चतुष्कोणांची एक गुणविशेष म्हणजे दोन चतुष्कोणांचे गुणाकार गैरसंयोजक आहे. हॅमिल्टनने एक त्रिमितीयन म्हणजे दोन दिग्दर्शित रेखांशाचा त्रिदितीय स्पेस किंवा दोन वैक्टरचा भाग क्वाटरनोन्स सैद्धांतिक आणि लागू गणिती दोन्हीमध्ये वापर करतात, विशेषत: तीन आयामी रोटेशन जसे की तीन-डीमेनिअल संगणक ग्राफिक्स आणि संगणक दृष्टिकोन यांचा समावेश असलेल्या मोजणीसाठी. व्यावहारिक अनुप्रयोगांमध्ये, त्यांचा वापर इतर पद्धतींसह केला जाऊ शकतो, जसे की यूलर अँगल आणि रोटेशन मेट्रिसेस, किंवा अर्जावर अवलंबून त्यांच्यासाठी पर्याय म्हणून. आधुनिक गणिती भाषेत, क्एप्टीनीन्स एक 4-डीमॅमेन्शियल असोशिएटिव्ह नॉर्मड डिव्हिजन बीजगणित वास्तविक संख्याच्या आधारावर तयार करतात आणि म्हणूनच एक डोमेन देखील. खरं तर, quatnions शोधला जाऊ प्रथम noncommutative विभाग बीजगणित होते. Quaternions च्या बीजगणित अनेकदा एच द्वारे दर्शविले जाते, किंवा ब्लॅकबोर्ड बोल्ड करून.
इंग्रजी शब्दकोशातील quaternion व्याख्या
शब्दकोशातील क्वाटरनोयनची परिभाषा म्हणजे चार घटक असणारे एक सामान्यीकृत कॉम्प्लेक्स नंबर आहे, x = x0 + x1i + x2j + x3k, जिथे x, x0 ... x3 वास्तव संख्या आहेत आणि i² = j² = k² = -1, ij = -जी = के इ.
«QUATERNION» संबंधित इंग्रजी पुस्तके
खालील ग्रंथसूची निवडीमध्ये
quaternion चा वापर शोधा. इंग्रजी साहित्यामध्ये वापराचा संदर्भ देण्यासाठी
quaternion शी संबंधित पुस्तके आणि त्याचे थोडक्यात उतारे.
1
Visualizing Quaternions
The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important—a beautiful introduction to those wanting to explore ...
2
Quaternion Orders, Quadratic Forms, and Shimura Curves
Shimura curves are a far-reaching generalization of the classical modular curves.
Montserrat Alsina, Pilar Bayer i Isant,
2004
3
Generalized
Quaternion Algebras and Cyclic Algebras
Finally, a cyclic algebra is a noncommutative algebra of dimension n2 over F, constructed from a Galois extension E/F.
The quaternion group has exactly 24 automorphism*. The generalized
quaternion group of order 2» has exactly 2tn- ^automorphisms for n > 3. In the
automorphism group A of the quaternion group, the inner automorphisms form an
abelian ...
Robinson (1958) described the advantages of the Euler-Rodrigues quaternion
formulation over the Euler angle or the direction-cosine formulation almost 50
years ago. Most of his observations, obtained on analog computers, are still valid
in ...
6
Springer Handbook of Robotics
Table 1.3 Conversions from angle-axis to unit quaternion representations of
orientation and vice versa Angle-axis dw to unit quaternion (fa £\ £2 ^3)T: 6() =
COS | 61 = wx sin | 62 = w ,, sin | 63 = to, sin Unit quaternion ( e =2cos-' € { £2 ^3)
T to ...
Bruno Siciliano, Oussama Khatib,
2008
7
Quaternion and Clifford Fourier Transforms and Wavelets
Quaternion analysis, quaternion Fourier transform, quaternion FourierIStieltjes
integral, Bochner theorem. 1. Introduction In a recent paper [5], we discussed
special properties of the asymptotic behaviour of the quaternion Fourier transform
...
Eckhard Hitzer, Stephen J. Sangwine,
2013
8
The Second Chinburg Conjecture for
Quaternion Fields
Therefore the case of quaternion fields is a very interesting special case. In this
case the Galois group, G(N/Q), is isomorphic to the quaternion group of order
eight. This group has a unique irreducible, symplectic representation.
Furthermore ...
9
Quaternions and Rotation Sequences: A Primer with ...
It might be argued that since the tracking transformation involves only two
rotations, and if these two tracking angles are the conventional tracking heading
and the tracking elevation, then the di component of the tracking error-quaternion
may ...
10
Essentials of Managed Health Care
Value Shift The most significant struggle the military managed care system has
grappled with from the inception of TRICARE to the present is the careful balance
between elements of Coppola's Managed Care Quaternion (MCQ)24 and ...
Peter Reid Kongstvedt,
2007
नवीन गोष्टी ज्यामध्ये «QUATERNION» ही संज्ञा समाविष्ट आहे
खालील बातम्यातील आयटमच्या संदर्भात राष्ट्रीय आणि आंतरराष्ट्रीय पत्रकार कशाबद्दल बोलले आहेत आणि
quaternion ही संज्ञा कशी वापरली आहे ते शोधा.
orthonormal rotation and a quaternion bijection?
Well, you need to look at the trace of the matrix when going from matrix to quaternion, and there's an invsqrt in there. If that equals zero then you are in big ... «GameDev.net, जून 15»
Creating a Quaternion from a direction
I can calculate the direction the ship needs to go from the ship position and target position, however a Vector is ofc not enough since I need a Quaternion to ... «GameDev.net, जून 15»
Quaternion slerp: is this correct result?
But when I slerp q0->q1 to a value between 0 and 1, the resulting quaternion has the right axis, but the angle of the rotation is not enough to bring the point all ... «GameDev.net, मे 15»
Quaternion Risk Management powers the InCol Analytics Platform …
Quaternion Risk Management Limited (“Quaternion”), provider of specialised risk analytics' consultancy, services and software, is now powering InCol. «Bobsguide, मार्च 15»
finding delta quaternion to get from quat 'A' to quat 'B'
I'm working on trying to find a quaternion I can use that is a fraction of the difference between a starting quaternion, 'A', and a destination quaternion 'B'. I am not ... «GameDev.net, मार्च 15»
Simple question on rotation matrix and quaternions
Given a SO(3) matrix, which should equivalently produce a unit quaternion ( with the real part positive ), I cannot successfully convert the matrix to a quaternion ... «GameDev.net, फेब्रुवारी 15»
Quaternion-UBS Delta Collaborate on CVA Front
Quaternion Risk Management, the Dublin-based provider of risk management technology and services, and UBS Delta have entered an alliance to provide ... «www.waterstechnology.com, नोव्हेंबर 14»
[SOLVED] Quaternion from direction not accurate
I used a look-at matrix and converted it to quaternion to have my look-at function but I wanted to change it to use quaternion directly. Here the actual code of the ... «GameDev.net, नोव्हेंबर 14»
Quaternion camera flipping constantly
It looks like there are 3 different rotation matrices being generated from the quaternion, one is actually correct and the other two are flipped or black, ... «GameDev.net, ऑक्टोबर 14»
Matrix to Quaternion calculation instable
Matrix to Quaternion calculation instable. Started by RPTD, Jul 13 2014 06:55 AM. quaterion matrix. Old topic! Google, the last post of this topic is over 60 days ... «GameDev.net, जुलै 14»