HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 161
Complex number functions
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hp40g+.book Page 7 Friday, December 9, 2005 1:03 AM TAYLOR Example ∫ (0,s1,2*X+3,X) finds the indefinite result 3*s1+2*(s1^2/2) See "To find the indefinite integral using formal variables" on page 13-23 for more information on finding indefinite integrals. Calculates the nth order Taylor polynomial of expression at the point where the given variable = 0. TAYLOR (expression, variable, n) Example TAYLOR(1 + sin(s1)2,s1,5)with Radians angle measure and Fraction number format (set in MODES) returns 1+s1^2+-(1/3)*s1^4. Complex number functions These functions are for complex numbers only. You can also use complex numbers with all trigonometric and hyperbolic functions, and with some real-number and keyboard functions. Enter complex numbers in the form (x,y), where x is the real part and y is the imaginary part. ARG Argument. Finds the angle defined by a complex number. Inputs and outputs use the current angle format set in Modes. ARG((x, y)) Example ARG((3,3)) returns 45 (Degrees mode) CONJ Complex conjugate. Conjugation is the negation (sign reversal) of the imaginary part of a complex number. CONJ((x, y)) Example CONJ((3,4)) returns (3,-4) IM Imaginary part, y, of a complex number, (x, y). IM ((x, y)) Using mathematical functions 13-7