QUATERNIONS Meaning in English - translations and usage examples

• quaternions

Examples of using Quaternions in Tagalog and their translations into English

Siya ay hindi matiis ang salpok sa hiwa-hiwain ang formulae para sa quaternions.
He could not resist the impulse to carve the formulae for the quaternions.

Sa kabila ng kanyang marubdob trabaho sa quaternions, Tait ay kasangkot sa maraming iba pang mga gawain.
Despite his intense work on quaternions, Tait was involved in many other activities.

Huli sa buhay, siya sa collaborated Peter Guthrie Tait sa isang Panimula sa Quaternions.
Late in life, he collaborated with Peter Guthrie Tait on an Introduction to Quaternions.

Ito ay nagsasangkot ng pag-aaral ng singsing ng integer quaternions sa kung saan mayroong 24 units.
This involves studying the ring of integer quaternions in which there are 24 units.

Hamilton nagpunta tuwid sa Catherine at ibinigay niya ang isang kopya ng lektura sa Quaternions.
Hamilton went straight to Catherine and gave her a copy of Lectures on Quaternions.

Sa susunod, sa 1858, Bellavitis kasama ang sistema ng quaternions sa kanyang geometriko calculus.
Later on, in 1858, Bellavitis included the system of quaternions into his geometric calculus.

Habang-training upang maging isang abogado Cayley napunta sa Dublin para marinig Hamilton panayam sa quaternions.
While still training to be a lawyer Cayley went to Dublin to hear Hamilton lecture on quaternions.

Hamilton namatay sa 1865 at Tait kinuha sa krusada upang bigyan quaternions isang nangungunang papel sa matematika physics.
Hamilton died in 1865 and Tait took over the crusade to give quaternions a leading role in mathematical physics.

Bilang isang nagtapos ng Dublin University, Kirkman ay natural na interesado kapag Hamilton-publish na ang kanyang trabaho sa quaternions.
As a graduate of Dublin University, Kirkman was naturally interested when Hamilton published his work on quaternions.

Makalipas ang ilang sandali Hamilton's pagkatuklas ng quaternions kanyang personal na buhay na nagsimula sa manghuli sa kanyang isip muli.
Shortly after Hamilton's discovery of the quaternions his personal life started to prey on his mind again.

Hamilton madama revolutionise ito diskubre ay matematiko physics at siya na ginugol ang natitirang bahagi ng kanyang buhay sa trabaho sa quaternions.
Hamilton felt this discovery would revolutionise mathematical physics and he spent the rest of his life working on quaternions.

Siya had been much naiimpluwensyahan ng Hamilton 's trabaho sa quaternions upang gumawa ng mga ito partikular na linya ng algebraic-iisip.
He had been much influenced by Hamilton 's work on the quaternions to develop this particular line of algebraic thinking.

Siya publish lektura sa Quaternions sa 1853 ngunit siya sa lalong madaling panahon realised na ito ay hindi isang magandang libro mula sa kung saan malaman ang teorya ng quaternions.
He published Lectures on Quaternions in 1853 but he soon realised that it was not a good book from which to learn the theory of quaternions.

Ito ay walang mga sorpresa na ibinigay sa Hamilton sa alak kaagad pagkatapos na ito, ngunit siya threw kanyang sarili sa kanyang trabaho at nagsimulang magsulat sa kanyang lektura sa Quaternions.
It is no surprise that Hamilton gave in to alcohol immediately after this, but he threw himself into his work and began writing his Lectures on Quaternions.

Conway ay isang eksperto sa quaternions ngunit maging siya at hindi rin ako sa oras na iyon, alam ng marami tungkol sa Hamilton 's earliest trabaho- ang teorya ng ekis.
Conway was an expert in quaternions but neither he nor I at that time knew much about Hamilton 's earliest work- the theory of rays.

Kahit na ang kanyang asawa nakipag-usap sa kanya ngayon at muli Hamilton bahagya narinig, para sa pagkatuklas ng quaternions, ang unang noncommutative algebra na-aral, ay dinadala ng hugis sa kanyang isip.
Although his wife talked to him now and again Hamilton hardly heard, for the discovery of the quaternions, the first noncommutative algebra to be studied, was taking shape in his mind.

Quaternions nagmula sa Hamilton matapos ang kanyang tunay na magandang trabaho had been done, at bagaman beautifully mapanlikha, ay isang payak masama sa mga taong may baliw ang mga ito sa anumang paraan.
Quaternions came from Hamilton after his really good work had been done, and though beautifully ingenious, have been an unmixed evil to those who have touched them in any way.

Walker ay isang malakas na tagapagtaguyod ng mga Hamilton 's quaternions at Matindi ang pagkabuhay na ito ay hindi na ibinigay bilang isang malawak na gamitin bilang sila merited.
Walker was a strong advocate of Hamilton 's quaternions and strongly believed that they had not been given as wide a use as they merited.

Isa sa mga kontribusyon na ginawa niya na ang topic namin ay dapat na banggitin ang kanyang dalawang mahahalagang teksto Elementary Treatise sa Quaternions( 1867), at Introduksiyon sa Quaternions( 1873).
Among the many contributions he made to the topic we should mention his two important texts Elementary Treatise on Quaternions(1867), and Introduction to Quaternions(1873).

Halimbawa siya nai-publish ng isang papel sa isang factorisation teorya para sa integer quaternions sa 1896 at inilapat ito sa problema ng mga kumakatawan sa isang integer bilang ang kabuuan ng apat na squares.
For example he published a paper on a factorisation theory for integer quaternions in 1896 and applied it to the problem of representing an integer as the sum of four squares.

Siya ay nagbibigay ng 'Cayley tables' ng ilang mga grupo ng espesyal na permutasyon ngunit, mas makabuluhan para sa pagpapakilala ng grupo na makuha ang konsepto, siya realised na matrices at quaternions ay grupo.
He gives the'Cayley tables' of some special permutation groups but, much more significantly for the introduction of the abstract group concept, he realised that matrices and quaternions were groups.

Natukoy na ng isang trabaho ng mga pangmatagalang kalidad, Hamilton nagsimula na magsulat ng isa pang libro Sangkap ng Quaternions na kung saan siya ay tinatayang 400 haba ng mga pahina at tumagal ng 2 taon na magsulat.
Determined to produce a work of lasting quality, Hamilton began to write another book Elements of Quaternions which he estimated would be 400 pages long and take 2 years to write.

Ang dami-ibabaw-at-linya ng integrals ng vectors at quaternions at ang kanilang mga ari-arian na sa kurso ng pagiging manggagawa sa labas ng Tait ay nagkakahalaga ng lahat na ito ay nangyayari sa iba pang mga puwesto ng pag-aaral.
The volume- surface- and line- integrals of vectors and quaternions and their properties as in the course of being worked out by Tait is worth all that is going on in other seats of learning.

Tait ay nagsimulang sumulat sa Hamilton sa Agosto 1858 at, sa reply sa Hamilton 's katanungan sa kung paano niya nakalagay sa trabaho sa quaternions, Tait wrote sa Hamilton sa 7 Disyembre 1858( tingnan ang halimbawa).
Tait began to correspond with Hamilton in August 1858 and, in reply to Hamilton 's question as to how he had stated to work with quaternions, Tait wrote to Hamilton on 7 December 1858(see for example).

Tait had read Hamilton 's lektura sa quaternions sa 1853 habang siya ay pa rin sa Cambridge pero kahit na ang paksa nabighani sa kanya siya ay kinuha up ng higit pa sa pisikal na mga aplikasyon ng matematika at ang oras at hindi ituloy ang topic na yugto.
Tait had read Hamilton 's Lectures on quaternions in 1853 while he was still at Cambridge but although the topic fascinated him he was more taken up with physical applications of mathematics at the time and did not pursue the topic at that stage.

Dalawang iba pang papeles na kung saan siya nai-publish sa parehong taon sa mga pahayagan ng Royal Society ng Edinburgh ay sa skeilar pag-andar ng isang vector at sa isang application ng quaternions sa kaugalian equation.
Two other papers which he published in the same year in publications of the Royal Society of Edinburgh were on the scalar functions of a vector and on an application of quaternions to differential equations.

Isang kapatid na lalaki, pabihasa na kilala sa kanyang mga contemporaries sa Cambridge sa 1886 bilang" Macaulay ng Caius", ay karaniwan para sa kanyang debosyon sa teorya ng quaternions, at nagkaroon ng isang matagumpay na karera bilang Propesor ng Matematika sa antipodes.
A brother, familiarly known to his contemporaries at Cambridge in 1886 as"Macaulay of Caius", was remarkable for his devotion to the theory of quaternions, and had a successful career as Professor of Mathematics in the antipodes.