Examples of using Complex numbers in English and their translations into Tagalog
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In his 1863 lectures he proved that the complex numbers are the only commutative algebraic extension of the real numbers. .
Sa kanyang 1863 lektura niya na ang mga kumplikadong numero ay Let K be a field of algebraic functions of two variables over the field of complex numbers.
Hayaan K ay isang larangan ng algebraic function ng dalawang variable sa larangan ng kumplikadong numero.was important in the early development of the theory of complex numbers.
noon ay mahalaga sa maagang pag-unlad ng teorya ng kumplikadong numero.According to Bellavitis, the plane does not just provide a means to represent complex numbers.
Ayon With these definitions the trigonometric functions can be defined for complex numbers.
Sa A line in the complex plane is called a mean line for the points if contains points(complex numbers) such that.
Isang linya sa mga komplikadong eroplano ay tinatawag na ibig sabihin ng linya para sa mga puntos kung naglalaman ng mga puntos( kumplikadong numero) tulad na.so I will use complex numbers.
ipaliwanag ang mga ito, kaya ako gumamit ng kumplikadong numero.making practical use of complex numbers perhaps because they gave him useful results,
paggawa ng although one could not expect him to understand complex numbers, he does present the first calculation with complex numbers in Ars Magna.
kahit isa ay hindi inaasahan sa kanya upang maunawaan ang mga kumplikadong numero, siya ay kasalukuyan ang unang pagkalkula sa mga kumplikadong numero sa Jordan was led to study the finite subgroups of the general linear group of n n matrices over the complex numbers.
Jordan ay humantong sa pag-aaral sa wakas subgroups ng pangkalahatang realising that attempts to prove Fermat's Last Theorem broke down because the unique factorisation of integers did not extend to other rings of complex numbers, attempted to restore the uniqueness of factorisation by introducing'ideal' numbers. .
realising na pagtatangka upang patunayan Fermat's Last Nasira dahil teorama ang natatanging factorisation ng integers ay hindi-extend sa iba pang It takes a student a few years to notice that complex numbers, vector algebra,
Ito ay tumatagal ng isang mag-aaral ng ilang taon upang mapansin na kumplikadong mga numero, vector algebra,There is a common belief that complex numbers are the end of the road in the development of numbers
Doon ay isang pangkaraniwang paniniwala na ang kumplikadong numero ay Furthermore, he had permitted complex numbers into the calculations to facilitate the analysis,
Bukod dito, siya ay pinapayagan ng kumplikadong numero sa kalkulasyon upang mapadali ang analysis,They were unaware at that time that the second cohomology group with coefficients in the nonzero complex numbers is the Schur multiplier,
Sila ay nakalimot sa oras na iyon na ang pangalawang cohomology grupo na may coefficients sa nonzero kumplikadong numero ay ang Schur multiplier,part of his life, he is remembered for his study of geometries over fields other than the complex numbers.
siya ay remembered para sa kanyang pag-aaral he must be credited with understanding the importance of complex numbers at a time when clearly nobody else did.
siya ay dapat na-credit sa-unawa sa kahalagahan ng kumplikadong numero sa isang panahon kapag malinaw na walang tao else did.he had overlooked the lack of unique factorisation in certain subrings of the complex numbers.
niya malulutas ang buong problema sa isang yugto ngunit niya overlooked sa kakulangan ng mga natatanging factorisation sa ilang mga subrings ng kumplikadong numero.Frobenius was able to construct a complete set of representations by complex numbers.
Frobenius ay able sa bumuo ng isang kumpletong hanay ng representasyon sa pamamagitan ng kumplikadong numero.integral calculus, and complex numbers long before he met these topics in his formal education.
integral calculus, at kumplikadong numero ng matagal bago siya matugunan ang mga paksa sa kanyang pormal na edukasyon.
