**The TipList
— Chapter 6 **

- [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