The TipList Chapter 6
Math Tips
[6.1] Simulate 'poly' function of TI-85/86
[6.2] Use rectangular complex mode for faster results
[6.3] Improving floating-point solutions to simultaneous equations
[6.4] Gamma and log-gamma functions
[6.5] Round numbers to significant digits
[6.6] Linear regression through a fixed point
[6.7] Complex derivatives
[6.8] Convert trigonometric expressions to exponential format
[6.9] Convert floating-point numbers to exact fractions
[6.10] Exact solutions to cubic and quartic equations
[6.11] Rounding floating point numbers
[6.12] Find faster numerical solutions for polynomials
[6.13] Find coefficients of determination for all regression equations
[6.14] Use norm() to find root mean square (RMS) statistic for matrices
[6.15] Convert equations between rectangular and polar coordinates
[6.16] Transpose operator and dot product find adjoint and complex scalar product
[6.17] Use dd.mmssss format to convert angles faster
[6.18] Use iPart() and int() effectively
[6.19] Sub-divide integration range to improve accuracy
[6.20] Generating random numbers
[6.21] Evaluating polynomials
[6.22] Linear Interpolation
[6.23] Step-by-step programs
[6.24] Fast Fibonacci Numbers
[6.25] Polar and rectangular coordinate conversions
[6.26] Accurate numerical derivatives with nDeriv() and Ridder's method
[6.27] Find Bernoulli numbers and polynomials
[6.28] Bilinear interpolation
[6.29] Dirac's delta (impulse) and Heaviside (step) functions
[6.30] Spherical coordinate conventions
[6.31] Fast 2nd-order interpolation with QuadReg
[6.32] Accurate approximate solutions to quadratic equations with large coefficients
[6.33] Sine and cosine integrals
[6.34] Error function for real arguments
[6.35] Cumulative normal distribution and inverse
[6.36] Integration may return 'undef' for identical integration limits
[6.37] Random number generator algorithm
[6.38] Finance Flash Application function finds days between two dates
[6.39] Convert equations to a parameterized form
[6.40] Write functions with multiple input argument types
[6.41] Integration error in AMS 2.05
[6.42] stdDev() and variance() find sample (not population) statistics
[6.43] Dot product (scalar product) for complex vectors
[6.44] Nest min() in max() to limit an argument
[6.45] Determine if a point is inside a triangle
[6.46] solve() and nsolve() ignore constraints with local variables
[6.47] Unsigned infinity displays as undef
[6.48] Use R>Ptheta() for four-quadrant arc tangent function
[6.49] Taylor() polynomial function finds tangent line
[6.50] The Savage Benchmark
[6.51] Review of TI-89 / TI-92 Plus Calculus Tools
[6.52] Return complex result in Real mode with 0i
[6.53] Implicit derivatives
[6.54] Delete variables after using numeric solver
[6.55] Algorithms for factor() and isPrime()
[6.56] Fourth-order splice joints two functions
[6.57] Sum binary "1" digits in an integer
[6.58] Extract floating-point mantissa and exponent
[6.59] Accelerate series convergence
[6.60] Faster, more accurate exponential integrals
[6.61] Find more accurate polynomial roots
[6.62] Try asymptotic expansion for functions of large arguments
[6.63] Faster numerical matrix inverses
[6.64] Calculate through undef and get correct results