Applied Numerical Methods Using MATLAB. Won Y. Yang

exp(x) Exponential function sin(x) log(x)| Natural logarithm tan(x) log10(x) Common logarithm acos(x) cos⁻¹(x) abs(x) Absolute value asin(x) sin⁻¹(x) angle(x) Phase of a complex number (rad) atan(x) ‐π/2 ≤ tan⁻¹(x) ≤ π/2 sqrt(x) Square root atan2(y,x) ‐π ≤ tan⁻¹(y/x) ≤ π real(x) Real part cosh(x) (e^x + e^−x)/2 imag(x) Imaginary part sinh(x) (e^x − e^−x)/2 conj(x) Complex conjugate tanh(x) (e^x − e^−x)/(e^x + e^−x) round(x) The nearest integer (round‐off) acosh(x) cosh⁻¹(x) fix(x) The nearest integer toward 0 asinh(x) sinh⁻¹(x) floor(x) The greatest integer ≤x atanh(x) tanh⁻¹(x) ceil(x) The smallest integer ≥x max Maximum and its index sign(x) 1 (positive)/0/−1 (negative) min Minimum and its index mod(y,x) Remainder of y/x sum Sum rem(y,x) Remainder of y/x prod Product eval(f) Evaluate an expression norm Norm feval(f,a) Function evaluation sort Sort in the ascending order polyval Value of a polynomial function clock Present time poly Polynomial with given roots find Index of element(s) satisfying given condition roots Roots of polynomial flops(0) Reset the flops count to zero tic Start a stopwatch timer flops Cumulative # of floating point operations (no longer available) toc Read the stopwatch timer (elapsed time from tic) date Present date magic Magic square Reserved variables with special meaning i, j pi π eps Machine epsilon Inf, inf Largest number (∞) realmax, realmin Largest/smallest positive number NaN Not_a_Number (undetermined) end The end of for‐loop or if, while, case statement or an array index break