LEADER 02900nam 2200733z- 450 001 9910557657803321 005 20210501 035 $a(CKB)5400000000044928 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/68610 035 $a(oapen)doab68610 035 $a(EXLCZ)995400000000044928 100 $a20202105d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aNon-associative Structures and Other Related Structures 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 online resource (106 p.) 311 08$a3-03936-254-2 311 08$a3-03936-255-0 330 $aLeonhard Euler (1707-1783) was born in Basel, Switzerland. Euler's formula is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. When its variable is the number pi, Euler's formula evaluates to Euler's identity. On the other hand, the Yang-Baxter equation is considered the most beautiful equation by many scholars. In this book, we study connections between Euler's formulas and the Yang-Baxter equation. Other interesting sections include: non-associative algebras with metagroup relations; branching functions for admissible representations of affine Lie Algebras; super-Virasoro algebras; dual numbers; UJLA structures; etc. 606 $aMathematics & science$2bicssc 606 $aResearch & information: general$2bicssc 610 $a(co)derivation 610 $aadmissible representations 610 $aaffine Lie algebras 610 $aalgebra 610 $aassociative algebras 610 $abranching functions 610 $acharacters 610 $acoalgebras 610 $acohomology 610 $adual numbers 610 $aEuler formula 610 $aEuler's formula 610 $aextension 610 $ahyperbolic functions 610 $aideal 610 $aJordan algebras 610 $aLie algebras 610 $ametagroup 610 $an/a 610 $anonassociative 610 $anonassociative algebra 610 $aoperational methods 610 $aproduct 610 $aseparable 610 $asmashed 610 $asuper-Virasoro algebras 610 $atranscendental numbers 610 $atwisted wreath 610 $aUJLA structures 610 $aumbral image techniques 610 $aYang-Baxter equation 615 7$aMathematics & science 615 7$aResearch & information: general 700 $aNichita$b Florin Felix$4edt$01327012 702 $aNichita$b Florin Felix$4oth 906 $aBOOK 912 $a9910557657803321 996 $aNon-associative Structures and Other Related Structures$93037793 997 $aUNINA