User manual CITIZEN LC-310III COMMAND LINE INTERFACE REFERENCE MANUAL

[. . . ] 11 Arithmetic Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 E­1 Angle Unit Conversion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2 Unit Conversions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [. . . ] See Example 4. E­6 The calculator has ten memory variables for repeated use : A, B, C, X, Y, X1, X2, PROG1 and PROG2. You can store a real number in variables A, B, C, X, Y, X1, X2 and an expression in PROG1 and PROG2. (Note) : Besides pressing [ SAVE ] key to store a value, you can also assign values to memory variable M by [ M+ ] or [ 2nd ] [ M­ ]. However, anything currently stored in variable M will be deleted and replaced by the newly assigned value. Order Of Operations Each calculation is performed in the following order of precedence : 1) 2) Expression inside parentheses. Coordinates transformation, and Type B functions which are required pressing the function key before entering, for example, ­1 ­1 ­1 ­1 sin, cos, tan, sin , cos , tan , sinh, cosh, tanh, sinh , ­1 ­1 X X cosh , tanh , log, ln, 10 , e , , NEG, NOT, X'( ), Y'( ) Type A functions which are required entering values before 2 ­1 pressing the function key, for example, x , , !Exponentiation ( ^ ), Fractions Abbreviated multiplication format in front of variables, , RANDM, RANDMI. (­) Abbreviated multiplication format in the front of Type B functions, 2 3 , Alog2, etc. nPr, nCr X 3) 4) 5) 6) 7) 8) 9) 10) x , 11) +, ­ 12) AND, NAND 13) OR, XOR, XNOR 14) Conversion( A /c b d /e, F D, DMS ) · When functions with the same priority are used in series, execution is performed from right to left. e ln120 X e { ln (120 ) } X otherwise, execution is from left to right. E­7 · Compound functions are executed from right to left. · Anything contained within parentheses receives the highest priority. Accuracy And Capacity Output digits : Up to 10 digits Calculating digits : Up to 24 digits In general, every reasonable calculation is displayed up to 10 digits ± 99 mantissa, or 10-digits mantissa plus 2-digits exponent up to 10 . Numbers used as input must be within the range of the given function as follow : Functions sin x cos x tan x Input range Deg : Rad : Grad : Deg : Rad : x < 4. 5 x 10 10 deg x < 2. 5 x 10 8rad x < 5 x 10 10 grad x 90 (2n+1) however, for tan x x 2 (2n+1) Grad : x 100 (2n+1), (n is an integer) sin ­1 x, cos ­1 x tan ­1 x sinh x, cosh x tanh x sinh ­1 x cosh ­1 x tanh ­1 x 1 x < 1 x 10 100 x 230. 2585092 x < 1 x 10 100 x < 5 x 10 99 1 x < 5 x 10 99 x x <1 1 x 10 ­99 x < 1 x 10 100 ­1 x 10 100 < x < 100 ­1 x 10 100 log x, ln x 10 ex x 2 x < x 230. 2585092 0 x < 1 x 10 100 x x < 1 x 10 50 x < 1 x 10 100, x 0 0 x 69, x is an integer. x -1 x! E­8 P (x, y) R (r, ) x 2 + y 2 < 1 x 10 100 0 r < 1 x 10 100 10 Deg< 4. 5 x 10 Grad< 5 x 10 however, for tan deg 8 Rad< 2. 5 x 10 rad 10 grad Deg90 (2n+1) Rad (2n+1) 2 Grad100 (2n+1), (n is an integer) DMS DD, MM, SS. SS 1 x 10 100, 0 MM, SS. SS x < 10 100 xy x > 0 : ­1 x 10 100 < y log x < 100 x=0:y>0 x < 0 : y = n, 1/(2n+1), n is an integer. By pressing key ( [ + ], [ ­ ], [ x ] or [ b d /e ], the displayed value will be converted to the [ 2nd ] [ A /c improper fraction and vice versa. [ F D ] and [ Calculations containing both fractions and decimals are calculated in decimal format. See Example 31. b Angle Unit Conversion The angle units (DEG, RAD, GRAD) is set by pressing [ DRG ] to display the angle menu. The relation among the three angle units is : 180°=rad = 200 grad Angle conversations ( See Example 32. Change the default angle settings to the units you want to convert to. The units you can select are ° (degrees), (minutes), (seconds), r (radians), g (gradians) or DMS (Degrees-Minutes-Seconds). To convert an angle to DMS notation, select " DMS " which converts an entry to DMS notations, i. e. , where 1°300 represents 1 degrees, 30 minutes, 0 seconds. To convert a DMS notation to decimal, select °(degrees), (minutes), (seconds). Functions LC-310III provides standard trigonometric functions and inverse ­1 ­1 ­1 trigonometric functions - sin, cos, tan, sin , cos and tan . (Note) : When using those keys, make sure the calculator is set for the angle unit you want. Hyperbolic / Inverse-Hyp. Functions LC-310III uses [ 2nd ] [ HYP ] to calculate the hyperbolic functions ­1 ­1 and inverse- hyperbolic functions ­ sinh, cosh, tanh, sinh , cosh ­1 and tanh . [. . . ] Press [ DATA ] and there are three menus : DATA­INPUT, LIMIT­SET, DISTR. Press [ 2nd ] [ STATVAR ] and scroll through the statistical ] or [ results menu by [ ] to find out process capability variables you want. ( See table below ) Variable Cax or Cay Meaning Capability accuracy of the x values or y values , Cpx or Cpy Potential capability precision of the x values or y values, , Cpkx or Cpky Minimum (CPU, CPL) of the x values or y values, where CPU is upper spec. limit of capability precision C pkx = Min (C PUX , C PLX) = C px(1 ­ C ax ) C pky = Min (C PUY , C PLY) = C py(1 ­ C ay ) (Note) : When calculating process capability in 2­VAR mode, the x n and y n are independent with each other. Probability distribution Step : ( See Example 55. [. . . ]