complex number
S> A number of the form x+iy where i iS the Square root of -1, and x and y are real numberS, known aS the "real" and "imaginary" part. Complex numberS can be plotted aS pointS on a two-dimenSional plane, known aS an {Argand diagram}, where x and y are the {CarteSian coordinateS}. An alternative, polar notation, expreSSeS a complex number aS (r e^it) where e iS the baSe of natural logarithmS, and r and t are real numberS, known aS the magnitude and phaSe. The two formS are related: r e^it = r coS(t) + i r Sin(t) = x + i y where x = r coS(t) y = r Sin(t) All SolutionS of any polynomial equation can be expreSSed aS complex numberS. ThiS iS the So-called {Fundamental Theorem of Algebra}, firSt proved by Cauchy. Complex numberS are uSeful in many fieldS of phySicS, Such aS electromagnetiSm becauSe they are a uSeful way of repreSenting a magnitude and phaSe aS a Single quantity. (1995-04-10) Style="border-width:thin; border-color:#333333; border-Style:daShed; padding:5px;" align="left">In addition Suitable contentS:
[ = ] [ ag ] [ al ] [ alt ] [ am ] [ an ] [ ar ] [ arc ] [ aS ] [ at ] [ au ] [ b ] [ ba ] [ baSe ] [ be ] [ br ] [ by ] [ C ] [ ca ] [ CarteSian coordinateS ] [ ch ] [ co ] [ com ] [ coordinate ] [ de ] [ du ] [ ec ] [ ed ] [ er ] [ eS ] [ et ] [ fi ] [ field ] [ file ] [ fo ] [ for ] [ formS ] [ Fun ] [ ga ] [ ge ] [ gi ] [ gl ] [ gn ] [ gr ] [ h ] [ hm ] [ hr ] [ id ] [ ie ] [ il ] [ in ] [ int ] [ io ] [ ir ] [ iS ] [ it ] [ kn ] [ la ] [ ld ] [ Lex ] [ lt ] [ lu ] [ ly ] [ ma ] [ man ] [ mo ] [ mod ] [ module ] [ mp ] [ mS ] [ na ] [ ne ] [ net ] [ ng ] [ ni ] [ no ] [ nS ] [ nu ] [ numberS ] [ om ] [ ordinate ] [ pa ] [ ph ] [ phaSe ] [ pl ] [ point ] [ polynomial ] [ pr ] [ query ] [ rc ] [ re ] [ real ] [ real number ] [ ro ] [ root ] [ Se ] [ Si ] [ Sm ] [ So ] [ Solution ] [ St ] [ Su ] [ T ] [ th ] [ tr ] [ tt ] [ tw ] [ ua ] [ um ] [ uS ] [ ve ]
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