Question Number 188834 by sciencestudentW last updated on 07/Mar/23
$${does}\:{the}\:{multinomial}\:{name}\:{a}\:{polynomial}? \\ $$
Commented by mr W last updated on 07/Mar/23
$${poly}\ast\:{means}\:{multi}\ast. \\ $$$${poly}\:{is}\:{Greek}.\:{multi}\:{is}\:{Latin}. \\ $$
Commented by sciencestudentW last updated on 07/Mar/23
$${i}\:{saw}\:{in}\:{some}\:{books}\:{that}\:{every}\:\:{polynomial} \\ $$$${is}\:{called}\:{a}\:{multinomial}\:{but}\:{every}\:{multinomial} \\ $$$${isn}'{t}\:{called}\:{a}\:{polynomial}\:. \\ $$$${what}\:{do}\:{you}\:{think}\:{about}\:{it}? \\ $$
Commented by mr W last updated on 07/Mar/23
Commented by Rasheed.Sindhi last updated on 08/Mar/23
$${In}\:{dictionary}\:{poly}\ast\:\&\:{multi}\ast\:{have} \\ $$$${same}\:{sense},\:{no}\:{doubt}! \\ $$$$\:\mathcal{B}{ut}\:{as}\:{a}\:{mathematical}\:{term}\:{they} \\ $$$${may}\:{be}\:{defined}\:{in}\:{different}\:{way}. \\ $$$$\left({though}\:{I}'{m}\:{not}\:{sure}\:{of}\:{that}\right) \\ $$$${Perhaps}\:{the}\:{mentioned}\:{book}\:{has}\:{done}\:{this}. \\ $$$${For}\:{example}\:{x}+\mathrm{2}+\mathrm{1}/{x}\:{is}\:{not}\:{a} \\ $$$${polynomial}\:{but}\:{it}\:{maybe}\:{multinomial} \\ $$$${in}\:{view}\:{of}\:{the}\:{book}. \\ $$
Commented by sciencestudentW last updated on 08/Mar/23
$${thanks}\:{you}\:{are}\:{agreed}\:{with}\:{me}\:{that} \\ $$$${every}\:{polynomial}\:{is}\:{called}\:{multinomial} \\ $$$${but}\:{every}\:{multinomial}\:{isn}'{t}\:{called}\: \\ $$$${polynomial}\:{ok}? \\ $$
Commented by Rasheed.Sindhi last updated on 08/Mar/23
$$\mathcal{T}{his}\:{depends}\:{upon}\:{how}\:{you}\:{define} \\ $$$${multinomial}.\:{If}\:{multinomial}\:{means} \\ $$$${only}\:{multiterm}\:{expression},\:{then} \\ $$$${yes}:\:{every}\:{polynomial}\:{is}\:{a}\:{multinomial} \\ $$$${but}\:{every}\:{multinomial}\:{may}\:{not}\:{be} \\ $$$${necessarily}\:{a}\:{polynomial}. \\ $$
Commented by mr W last updated on 08/Mar/23
$${i}\:{googled}\:{and}\:{found}\:{no}\:{generally} \\ $$$${acknowledged}\:{definition}\:{for} \\ $$$$``{multinomial}''\:{in}\:{mathematics}\:{like} \\ $$$${that}\:{for}\:``{polynomial}''.\:{so}\:{everybody} \\ $$$${can}\:{understand}\:{what}\:{he}\:{likes}. \\ $$
Commented by Rasheed.Sindhi last updated on 09/Mar/23
$$\mathbb{T}\boldsymbol{\mathrm{han}}\Bbbk\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{lot}}\:\boldsymbol{\mathrm{sir}}! \\ $$