Provided by: qalc_3.22.0-3build1_amd64 bug

NAME

       qalc - Powerful and easy to use command line calculator

SYNOPSIS

       qalc [options] [expression]

DESCRIPTION

       Qalculate!  is  a multi-purpose cross-platform desktop calculator. It is simple to use but
       provides power and versatility normally reserved for complicated math packages, as well as
       useful  tools  for  everyday  needs (such as currency conversion and percent calculation).
       Features include  a  large  library  of  customizable  functions,  unit  calculations  and
       conversion, physical constants, symbolic calculations (including integrals and equations),
       arbitrary precision, uncertainty propagation, interval arithmetic, plotting, and  a  user-
       friendly interface.  qalc is the command line interface of Qalculate!.

OPTIONS

       -b, --base base
               set the number base for results and, optionally, expressions

       -c, --color
               use colors to highlight different elements of expressions and results

       --defaults
               load default settings

       -e, --exrates
               update exchange rates

       -f, --file file
               execute commands from a file first

       -h, --help
               display this help and exits

       -i, --interactive
               start in interactive mode

       -l, --list [search term]
               displays  a  list of all user-defined or matching variables, functions, units, and
               prefixes.

       --list-functions [search term]
               displays a list of all or matching functions.

       --list-prefixes [search term]
               displays a list of all or matching prefixes.

       --list-units [search term]
               displays a list of all or matching units.

       --list-variables [search term]
               displays a list of all or matching variables.

       -m, --time milliseconds
               terminate calculation and display of result after specified amount of time

       -n, --nodefs
               do not load any functions, units, or variables from file

       --nocurrencies
               do not load any global currencies from file

       --nodatasets
               do not load any global data sets from file

       --nofunctions
               do not load any global functions from file

       --nounits
               do not load any global units from file

       --novariables
               do not load any global variables from file

       -p [base]
               start in programming mode (same as -b "base base" -s "xor^", with base conversion)

       -s, --set "option value"
               as set command in interactive program session (ex. --set "base 16")

       -t, --terse
               reduce output to just the result of the input expression

       -/+u8   switch unicode support on/off

       -v, --version
               show application version and exit

       The program will start in interactive mode if no expression and no file is  specified  (or
       interactive mode is explicitly selected).

COMMANDS

       approximate
               Equivalent to set approximation try exact.

       assume assumptions
               Set  default  assumptions  for  unknown  variables  (unknown,  non-zero, positive,
               negative, non-positive, non-negative + number, real, rational, integer, boolean).

       base base
               Sets the result number base (equivalent to set base).

       clear   Clear the screen

       delete name
               Removes the user-defined variable or function with the specified name.
               Example: delete var1.

       exact   Equivalent to set approximation exact.

       expand  Expands the current result.

       exrates Downloads current exchange rates from the Internet.

       factor  Factorizes the current result.

       find, list [name]
               Displays  a  list  of  variables,  functions  and  units.   Enter  with   argument
               'currencies',  'functions',  'variables', 'units', or 'prefixes' to show a list of
               all currencies, functions, variables, units, or prefixes. Enter a search  term  to
               find  matching  variables, functions, units, and/or prefixes. If command is called
               with no argument all user-definied objects are listed.
               Example: list functions.
               Example: find dinar.
               Example: find variables planck.

       function name expression
               Creates a function with the specified name and expression. Use '\x',  '\y',  '\z',
               '\a', etc. for arguments in the expression.
               Example: function func1 5*\x.

       help [command]

       info    Displays information about a function, variable, unit, or prefix.
               Example: info sin.

       MC/MS/M+/M-
               Memory  operations (memory clear, memory store, memory plus, memory minus). Recall
               the memory using the MR/MRC variable.

       mode    Displays the current mode.

       partial fraction
               Applies partial fraction decomposition to the current result.

       save, store name [category] [title]
               Saves the current result in a variable with the specified name. You may optionally
               also  provide a category (default "Temporary") and a title.  If name equals "mode"
               or "definitions", the current mode and definitions, respectively, will be saved.
               Example: store var1.

       save definitions

       save mode

       set option value

       to, convert, -> unit/"to"-command
               Converts the  previous  result.  Equivalent  to  using  "to"  at  the  end  of  an
               expression.  Example: to m/s
               Example: to bin

       variable name expression
               Create a variable with the specified name and expression.
               Example: variable var1 pi / 2.

       quit/exit
               Terminates the program.

       Commands for RPN mode:

       rpn state
               (De)activates  the  Reverse  Polish  Notation stack and syntax. "syntax" activates
               only the RPN syntax and "stack" enables the RPN stack.

       stack   Displays the RPN stack.

       clear stack
               Clears the entire RPN stack.

       copy [index]
               Duplicates a value on the RPN stack to the top  of  the  stack.  If  no  index  is
               specified,  the  top  of  the stack is duplicated. Index 1 is the top of stack and
               negative index values count from the bottom of the stack.

       move index 1 index 2
               Changes the position of a value on the RPN stack. Index 1 is the top of stack  and
               negative index values count from the bottom of the stack.
               Example: move 2 4

       pop [index]
               Removes  the  top of the RPN stack or the value at the specified index. Index 1 is
               the top of stack and negative index values count from the bottom of the stack.

       rotate [direction]
               Rotates the RPN stack up (default) or down.

       swap [index 1] [index 2]
               Swaps position of values on the RPN stack. If no index is specified, the values on
               the  top  of the stack (index 1 and index 2) will be swapped and if only one index
               is specified, the value at this index will be swapped with the top value. Index  1
               is the top of stack and negative index values count from the bottom of the stack.
               Example: swap 2 4

       When a line begins with '/', the text that follows is always interpreted as a command.

KEYBINDINGS

       Tab     shows  a  list  of functions, variables, and units that matches the last object in
               the current expression

       Ctrl+D  terminates the program

       Ctrl+E  switches between approximation modes (exact, try exact, auto)

       Ctrl+F  switches between fraction modes (simple, decimal, auto)

       Ctrl+A  saves the current result in a temporary variable

       Ctrl+L  clears the screen

SETTINGS

       These settings are changed using the set command (e.g. set  base  16)  or  the  -s,  --set
       command  line option (e.g. qalc -s "base 16"). Possible values are shown in parenthesis. 1
       and 0 can be used instead of on and off. If the value  is  left  out,  a  value  of  1  is
       generally assumed. The default value is marked with '*'.

       Algebraic mode:

       algebra mode, alg (1* = expand, 2 = factorize)
               Determines if the expression is factorized or not after calculation.

       assume nonzero denominators, nzd (on*, off)
               Determines if unknown values will be assumed non-zero (x/x=1).

       warn nonzero denominators, warnnzd (on*, off)
               Display a message after a value has been assumed non-zero.

       assumptions,  asm  (unknown*,  non-zero,  positive, negative, non-positive, non-negative +
       number, real*, rational, integer, boolean)
               Default assumptions for unknown variables.

       Calculation:

       angle unit, angle (0 = none, 1* = radians, 2 = degrees, 3 = gradians)
               Default angle unit for trigonometric functions.

       approximation, appr (-1* = auto, 0 = exact, 1 = try exact, 2 = approximate, 3 = dual)
               How approximate variables and calculations are handled. In exact mode  approximate
               values will not be calculated.

       interval arithmetic, ia (on*, off)
               If  activated,  interval arithmetic determines the final precision of calculations
               (avoids wrong results after  loss  of  significance)  with  approximate  functions
               and/or irrational numbers.

       interval calculation, ic (1* = variance formula, 2 = interval arithmetic)
               Determines the method used for interval calculation / uncertainty propagation.

       precision, prec (> 0) 10*
               Specifies  the  default  number of significant digits displayed and determines the
               precision used for approximate calculations.

       Enabled objects:

       calculate functions, calcfunc (on*, off)

       calculate variables, calcvar (on*, off)

       complex numbers, cplx (on*, off)

       functions, func (on*, off)

       infinite numbers, inf (on*, off)

       units (on*, off)

       unknowns (on, off*)
               Interpret undefined symbols in expressions as unknown variables.

       variables, var (on*, off)

       variable units, varunit (on*, off)
               If activated physical constants include units (e.g. c = 299 792 458 m∕s).

       Generic display options:

       abbreviations, abbr (on*, off)
               Use abbreviated names for units and variables.

       color (0 = off, 1* = default, 2 = light)
               Use colors to highlight different elements of expressions and results.

       division sign, divsign (0* = /, 1 = division slash, 2 = division sign)

       excessive parentheses, expar (on, off*)

       minus last, minlast (on, off*)
               Always place negative values last.

       multiplication sign, mulsign (0 = *, 1 = multiplication dot, 2* = multiplication  x,  3  =
       middle dot)

       short multiplication, shortmul (on*, off)

       spacious, space (on*, off)
               Add extra space around operators.

       spell out logical, spellout (on*, off)

       unicode, uni (on*, off)
               Display Unicode characters.

       vertical space, vspace (on*, off)
               Add empty lines before and after result.

       Numerical display:

       base (-1114112 - 1114112, bin, oct, dec*, hex, sexa, time, roman)

       base display, basedisp (0 = none, 1* = normal, 2 = alternative)

       complex form, cplxform (0* = rectangular, 1 = exponential, 2 = polar, 3 = cis, 4 = angle)

       decimal comma (locale*, off, on)
               Determines the default decimal separator.

       digit grouping, group (0* = off, 1 = standard, 2 = locale)

       fractions, fr (-1* = auto, 0 = off, 1 = exact, 2 = on, 3 = mixed, 4 = long, 5 = dual)
               Determines  how rational numbers are displayed (e.g. 5/4 = 1 + 1/4 = 1.25). 'long'
               removes limits on the size of the numerator and denonimator.

       hexadecimal two's, hextwos (on, off*)
               Enables two's  complement  representation  for  display  of  negative  hexadecimal
               numbers.

       imaginary j, imgj (on, off*)
               Use 'j' (instead of 'i') as default symbol for the imaginary unit.

       interval display, ivdisp (0* = adaptive, 1 = significant, 2 = interval, 3 = plusminus, 4 =
       midpoint, 5 = upper, 6 = lower)

       lowercase e, lowe (on, off*)
               Use lowercase e for E-notation (5e2 = 5 * 10^2).

       lowercase numbers, lownum (on, off*)
               Use lowercase letters for number bases > 10.

       max decimals, maxdeci (off*, >= 0)

       min decimals, mindeci (off*, >= 0)

       round to even, rndeven (on, off*)
               Determines whether halfway numbers are rounded upwards or towards the nearest even
               integer.

       scientific notation, exp (0 = off, -1 = auto*, -3 = engineering, 1 = pure, 3 = scientific,
       >= 0)
               Determines how scientific notation is used (e.g. 5 543 000 = 5.543E6).

       show ending zeroes, zeroes (on*, off)
               If actived, zeroes are kept at the end of approximate numbers.

       two's complement, twos (on*, off)
               Enables two's complement representation for display of negative binary numbers.

       Parsing:

       caret as xor, xor^ (on, off*)
               Use ^ as bitwise exclusive OR operator.

       decimal comma (locale*, off, on)
               Determines the default decimal separator.

       ignore comma (on, off*)
               Allows use of ',' as thousands separator.

       ignore dot (on, off*)
               Allows use of '.' as thousands separator.

       imaginary j, imgj (on, off*)
               Use 'j' (instead of 'i') as default symbol for the imaginary unit.

       input base, inbase (-1114112 - 1114112, bin, oct, dec*, hex, roman)

       limit implicit multiplication, limimpl (on, off*)

       parsing mode, syntax (0* = adaptive, 1 = implicit first, 2 = conventional, 3 = chain, 4  =
       rpn)
               See syntax section.

       read precision, readprec (0* = off, 1 = always, 2 = when decimals)
               If  activated,  numbers are interpreted as approximate with precision equal to the
               number of significant digits (3.20 = 3.20+/-0.005).

       Units:

       all prefixes, allpref (on, off*)
               Enables automatic use of hecto, deca, deci, and centi.

       autoconversion, conv (none, optimal*, base, optimalsi, mixed)
               Controls automatic unit conversion of the result. 'optimalsi' always converts non-
               SI  units,  while  'optimal'  only converts to more optimal unit expressions, with
               less units and exponents.

       binary prefixes, binpref (on, off*)
               If activated, binary prefixes are used by default for information units.

       currency conversion, curconv (on*, off)
               Enables automatic conversion to the local currency when optimal unit conversion is
               enabled.

       denominator prefixes, denpref (on*, off)
               Enables automatic use of prefixes in the denominator of unit expressions.

       place units separately, unitsep (on*, off)
               If activated, units are separated from variables at the end of the result.

       prefixes, pref (on*, off)
               Enables automatic use of prefixes in the result.

       show negative exponents, negexp (on, off*)
               Use negative exponents instead of division for units in result (m/s = m*s^-1).

       sync units, sync (on*, off)

       temperature units, temp (hybrid*, absolute, relative)
               Determines  how  expressions with temperature units are calculated (hybrid acts as
               absolute if the expression contains  different  temperature  units,  otherwise  as
               relative).

       update exchange rates, upxrates (-1 = ask*, 0 = never, > 0 = days)

       Other:

       ignore locale (yes, no*)
               Ignore system language and use English (requires restart).

       rpn (on, off*)
               Activates the Reverse Polish Notation stack.

       save definitions (yes*, no)
               Save functions, units, and variables on exit.

       save mode (yes*, no)
               Save settings on exit.

       sigint action, sigint (0 = kill*, 1 = exit, 2 = interrupt)
               Determines how the SIGINT signal (Ctrl+C) is handled.

SYNTAX

       Mathematical entities:

              Numbers
              These are the regular numbers composed by digits 0-9 and a decimal sign — a dot, or
              a comma if it is the default decimal point in the locale/language used. If comma is
              used  as decimal sign, the dot is still kept as an alternative decimal sign, if not
              explicitly  deactivated.  Numbers  include  integers,  real  numbers,  and  complex
              numbers.  The  imaginary part of complex numbers are written with as regular number
              followed by the special variable "i" (can be changed to a  "j"),  which  represents
              the  square  root  of  -1. Spaces between digits are ignored ("5  5 = 55"). "E" (or
              "e") can be considered as a shortcut for writing many zeroes and is  equivalent  to
              multiplication  by  10  raised  to  the  power of the right-hand value (e.g. "5E3 =
              5000"). Sexagesimal numbers (and time) can be entered directly using  colons  (e.g.
              "5:30  =  5.5").  A  number  immediately  preceded  "0b",  "0o",  "0d"  or "0x" are
              interpreted as a number with base 2, 8, 12 or 16, respectively (e.g. "0x3f = 63").

              Intervals
              A number interval can be entered using the interval() function,  the  uncertainty()
              function,  or using "±" or "+/-" (e.g. 5±1 = uncertainty(5, 0.2) = interval(4, 6)).
              If the read precision option is activated, decimal numbers are  interpreted  as  an
              interval  between the numbers that are normally rounded to the entered number (e.g.
              1.1 = 1.1±0.05). If  interval  calculation  using  variance  formula  is  activated
              (default),  the  interval  represents  the  standard uncertainty (deviation) of the
              value.

              Vectors and Matrices
              A matrix is a two-dimensional rectangular array of  mathematical  objects.  Vectors
              are  matrices  with  only  one row or column, and thus one-dimensional sequences of
              objects. Vectors and matrices are generated by various functions, or  using  syntax
              in the form of [1, 2, 3, 4] and [[1, 2], [3, 4]].

              Variables/Constants
              See the list of variables in the GUI manual or using the command .I list variables

              Functions
              See the list of functions in the GUI manual or using the command .I list functions

              Units and Prefixes
              See  the  list of units and prefixes in the GUI manual or using the command .I list
              units.  Abbreviated, plural and singular forms  of  unit  names  and  prefixes  are
              generally  allowed.  Prefixes  must  be  put  immediately  before  the  unit  to be
              interpreted as prefixes (eg. 5 mm = 0.005 m, but 5 m m = 5  m^2).  For  convenience
              units  allow the power operator to be left out (e.g. 5 m2 = 5 m^2), with currencies
              excluded.

              Unknowns
              Unknowns are text strings without any associated value. These are temporary unknown
              variables  with  default  assumptions.  Unknowns  can also be explicitly entered by
              placing a backslash (\) before a  single  character  (e.g.  5\a  +  2\b)  or  using
              quotation  mark  before and after a text string (e.g. 5 "apples" + 2 "bananas"). If
              unknowns are activated characters without any associated variable, function or unit
              in an expression, will be regarded as an unknown variable.

              Date and Time
              Date/time  values  are  specified using quoted text string (quotation marks are not
              needed for function arguments), using  standard  date  and  time  format  (YYYY-MM-
              DDTHH:MM:SS). Some local formats are also supported, but not recommended. The local
              time zone are used, unless a time zone is specified at the end of the  time  string
              (Z/UTC/GMT   or   +/-HH:MM).  Date/time  supports  a  small  subset  of  arithmetic
              operations. The time units represents calendar time,  instead  of  average  values,
              when added or subtracted to a date.

              Text
              This  category  represent  a  number  of different function argument types, such as
              regular text and file names. They can, but do not need to be put in  quotes  except
              when containing the argument separator.

              Comments
              All  text after a hashtag (e.g. (5*2)/2 #calculating triangle area) is treated as a
              comment, which are added to the history.

       Operations and operators (word operators such as AND must be surrounded by space):

              Addition (+)

              Subtraction (-)

              Multiplication (*)

              Division (/)

              Remainder (%, rem) and modulo (%%, mod)
              Returns the remainder after division.

              Integer division (//, div)
              Rounds the result of division towards zero.

              Exponentiation (^, **)
              Note that x^y^z equals x^(y^z), and not (x^y)^z. Note  also  that  for  non-integer
              exponents with negative bases, the principal root is returned and not the real root
              ((-8)^(1/3) equals 1 + 1.73i, and not -2). To calculate the real root for  negative
              values, use the cbrt() and root() functions.

              10^x (E)

              Parenthesis ((, ))

              Parellel sum (∥, ||)
              Returns  the  the reciprocal value of a sum of reciprocal values. || is interpreted
              as parallel if units are used, otherwise as logical OR.

              Logical operators (!, NOT, ||, OR, &&, AND, XOR, NOR, NAND)

              Bitwise operators (~, |, &, <<, >>, XOR)

              Comparison operators (=, !=, <, <=, >, >=)
              Returns 1 if expression is true and 0 if false. The x variable is isolated  if  the
              expression  does  not  evaluate  as true or false. Primarily used for equations and
              inequalities.

              Dot product (.)

              Element-wise operators (.*, ./, .^)

              Save operator (:=)
              Saves the expression to the right of the operator as a variable or  function  (e.g.
              var1:=5, func1():=x+y).

       Evaluation  priority  order:  parenthesis,  10^x,  exponentiation, functions, bitwise NOT,
       logical  NOT,  multiplication/division/remainder,  parallel   sum,   addition/subtraction,
       bitwise  NOT,  bitwise  shift,  comparisons, bitwise AND, bitwise XOR, bitwise OR, logical
       AND, logical OR.

       The evaluation of short/implicit multiplication without any multiplication sign (e.g.  5x,
       5(2+3)),  differs  depending  on  the  parsing  mode.  In  the  conventional mode implicit
       multiplication does not differ from explicit multiplication  (12/2(1+2)  =  12/2*3  =  18,
       5x/5y  =  5  *  x/5  *  y = xy). In the parse implicit multiplication first mode, implicit
       multiplication is parsed before explicit multiplication (12/2(1+2) = 12/(2 * 3) = 2, 5x/5y
       =  (5  *  x)/(5  *  y)  =  x/y).  The  default  adaptive  mode works as the parse implicit
       multiplication first mode, unless spaces are found (1/5x = 1/(5 * x), but 1/5 x = (1/5)  *
       x).  In the adaptive mode unit expressions are parsed separately (5 m/5 m/s = (5 * m)/(5 *
       (m/s)) = 1 s). Function arguments without parentheses are  an  exception,  where  implicit
       multiplication in front of variables and units is parsed first regardless of mode (sqrt 2x
       = sqrt(2x)).

       In chain mode, expressions are calculated from left to right, ignoring standard  order  of
       operations, like the immediate execution mode of a traditional calculator (1+2*3 = (1+2)*3
       = 9).

       The "to"-operator is used for unit conversion  and  manipulation  of  how  the  result  is
       presented.   Place   "   to   "   or  a  right  arrow  (e.g.  "->")  followed  by  one  of
       expressions/commands the below, at the end of an expression.

       Unit conversion
               - a unit or unit expression (e.g. meter or km/h)
               prepend with ? to request the optimal prefix
               prepend with b? to request the optimal binary prefix
               prepend with + or - to force/disable use of mixed units
               - a variable or physical constant (e.g. c)
               - base (convert to base units)
               - optimal (convert to optimal unit)
               - mixed (convert to mixed units, e.g. hours + minutes)

       Number base conversion
               - bin, binary (show as binary number)
               - bin# (show as binary number with specified number of bits)
               - oct, octal (show as octal number)
               - duo, duodecimal (show as duodecimal number)
               - hex, hexadecimal (show as hexadecimal number)
               - hex# (show as hexadecimal number with specified number of bits)
               - sex, sexa2, sexa3, sexagesimal (show as  sexagesimal  number;  sexa2  hides  and
               sexa3 rounds arcseconds)
               -    latitude,    latitude2,    longitude,   longitude2   (show   as   sexagesimal
               latitude/longitude; latitude2 and longitude2 hide arcseconds)
               - bijective (shown in bijective base-26)
               - fp16, fp32, fp64, fp80, fp128 (show in binary floating-point format)
               - roman (show as roman numerals)
               - time (show in time format)
               - unicode
               - base # (show in specified number base)
               - bases (show as binary, octal, decimal and hexadecimal number)

       Complex format
               - rectangular, cartesian (show complex numbers in rectangular form)
               - exponential (show complex numbers in exponential form)
               - polar (show complex numbers in polar form)
               - cis (show complex numbers in cis form)
               - angle, phasor (show complex numbers in angle/phasor notation)

       Time and date conversion
               - UTC (show date and time in UTC time zone)
               - UTC+/-hh[:mm] (show date and time in specified time zone)
               - calendars

       Other conversion commands
               - fraction (show result as mixed fraction)
               - factors (factorize result)

       Similarly where (or alternatively "/.") can be used at the  end  (but  before  "to"),  for
       variable  assignments,  function  replacements, etc. (e.g. "x+y where x=1 and y=2", "x^2=4
       where x>0", and "sin(5) where sin()=cos()").

EXAMPLES

       Note that semicolon can be replaced with comma,  if  comma  is  not  used  as  decimal  or
       thousands separator.

       Basic functions and operators

       sqrt 4  = sqrt(4)
               = 4^(0.5)
               = 4^(1/2)
               = 2

       sqrt(25; 16; 9; 4)
               = [5; 4; 3; 2]

       sqrt(32)
               = 4 * sqrt(2) (in exact mode)

       cbrt(-27)
               = root(-27; 3)
               = -3 (real root)

       (-27)^(1/3)
               = 1.5 + 2.5980762i (principal root)

       ln 25   = log(25; e)
               = 3.2188758

       log2(4)/log10(100)
               = log(4; 2)/log(100; 10)
               = 1

       5!      = 1 * 2 * 3 * 4 * 5
               = 120

       5\2 (integer division)
               = 5//2
               = trunc(5/2)
               = 2

       5 mod 3 = mod(5; 3)
               = 2

       52 to factors
               = 2^2 * 13

       25/4 * 3/5 to fraction
               = 3 + 3/4

       gcd(63; 27)
               = 9

       sin(pi/2) - cos(pi)
               = sin(90 deg) - cos(180 deg)
               = 2

       sum(x; 1; 5)
               = 1 + 2 + 3 + 4 + 5 = 15

       sum(i^2+sin(i); 1; 5; i)
               = 1^2 + sin(1) + 2^2 + sin(2) + ... = 55.176162

       product(x; 1; 5)
               = 1 * 2 * 3 * 4 * 5 = 120

       var1:=5 store value 5 in variable var1

       5^2 #this is a comment
               = 25

       sinh(0.5) where sinh()=cosh()
               = cosh(0.5) = 1.1276260

       plot(x^2; -5; 5)
               plots the function y=x^2 from -5 to 5

       Units

       5 dm3 to L
               = 25 dm^3 to L
               = 5 L

       20 miles / 2h to km/h
               = 16.09344 km/h

       1.74 to ft = 1.74 m to ft
               = 5 ft + 8.5039370 in

       1.74 m to -ft
               = 5.7086614 ft

       100 lbf * 60 mph to hp
               = 16 hp

       50 Ω * 2 A
               = 100 V

       50 Ω * 2 A to base
               = 100 kg*m^2*s^-3*A^-1

       10 N / 5 Pa
               = (10 N)/(5 Pa) = 2 m^2

       5 m/s to s/m
               = 0.2 s/m

       500 EUR - 20% to USD
               = 451.04 USD

       500 megabit/s * 2 h to b?byte
               = 419.09516 gibibytes

       Physical constants

       k_e / G * a_0
               = (coulombs_constant / newtonian_constant) * bohr_radius
               = 7.126e9 kg*H*m^-1

       planck ∕ (compton_wavelength * c)
               = 9.1093837e-31 kg

       5 ns * rydberg to c
               = 6.0793194E-8c

       atom(Hg; weight) + atom(C; weight) * 4 to g
               = 4.129e-22 g

       (G * planet(earth; mass) * planet(mars; mass))/(54.6e6 km)^2
               = 8.58e16 N (gravitational attraction between earth and mars)

       Uncertainty and interval arithmetic
       result with interval arithmetic activated is shown in parenthesis

       sin(5+/-0.2)^2/2+/-0.3
               = 0.460±0.088 (0.46+/-0.12)

       (2+/-0.02 J)/(523+/-5 W)
               = 3.824+/-0.053 ms (3.82+/-±0.075 ms)

       interval(-2; 5)^2
               = intervall(-8.2500000; 12.750000) (intervall(0; 25))

       Algebra

       (5x^2 + 2)/(x - 3)
               = 5x + 15 + 47/(x - 3)

       (\a + \b)(\a - \b) = ("a" + "b")("a" - "b")
               = 'a'^2 - 'b'^2

       (x + 2)(x - 3)^3
               = x^4 - 7x^3 + 9x^2 + 27x - 54

       factorize x^4 - 7x^3 + 9x^2 + 27x - 54
               = x^4 - 7x^3 + 9x^2 + 27x - 54 to factors
               = (x + 2)(x - 3)^3

       cos(x)+3y^2 where x=pi and y=2
               = 11

       gcd(25x; 5x^2)
               = 5x

       1/(x^2+2x-3) to partial fraction
               = 1/(4x - 4) - 1/(4x + 12)

       x+x^2+4 = 16
               x = 3 or x = -4

       x^2/(5 m) - hypot(x; 4 m) = 2 m where x > 0
               x = 7.1340411 m

       cylinder(20cm; x) = 20L
               x = (1 / (2pi)) m
               x = 16 cm (height of 20 L cylinder with radius 20 cm)

       asin(sqrt(x)) = 0.2
               x = sin(0.2)^2
               x = 0.039469503

       x^2 > 25x
               = x > 25 or x < 0

       solve(x = y+ln(y); y)
               = lambertw(e^x)

       solve2(5x=2y^2; sqrt(y)=2; x; y)
               = 32/5

       multisolve([5x=2y+32; y=2z; z=2x]; [x; y; z])
               = [-32/3; -128/3; -64/3]

       dsolve(diff(y; x) - 2y = 4x; 5)
               = 6e^(2x) - 2x - 1

       Calculus

       diff(6x^2)
               = 12x

       diff(sinh(x^2)/(5x) + 3xy/sqrt(x))
               = (2/5) * cosh(x^2) - sinh(x^2)/(5x^2) + (3y)/(2 * sqrt(x))

       integrate(6x^2)
               = 2x^3 + C

       integrate(6x^2; 1; 5)
               = 248

       integrate(sinh(x^2)/(5x) + 3xy/sqrt(x))
               = 2x * sqrt(x) * y + Shi(x^2) / 10 + C

       integrate(sinh(x^2)/(5x) + 3xy/sqrt(x); 1; 2)
               = 3.6568542y + 0.87600760

       limit(ln(1 + 4x)/(3^x - 1); 0)
               = 4 / ln(3)

       Matrices and vectors

       ((1; 2; 3); (4; 5; 6))
               = [[1; 2; 3]; [4; 5; 6]] (2x3 matrix)

       (1; 2; 3) * 2 - 2
               = [1 * 2 - 2; 2 * 2 - 2; 3 * 2 - 2]
               = [0; 2; 4]

       (1; 2; 3).(4; 5; 6)
               = dot((1; 2; 3); (4; 5; 6))
               = 32 (dot product)

       cross((1; 2; 3); (4; 5; 6))
               = [-3; 6; -3] (cross product)

       hadamard([[1; 2; 3]; [4; 5; 6]]; [[7; 8; 9]; [10; 11; 12]])
               = [[7; 16; 27]; [40; 55; 72]] (hadamard product)

       ((1; 2; 3); (4; 5; 6)) * ((7; 8); (9; 10); (11; 12))
               = [[58; 64]; [139; 154]] (matrix multiplication)

       ((1; 2); (3; 4))^-1
               = inverse([[1; 2]; [3; 4]])
               = [[-2; 1]; [1.5; -0.5]]

       Statistics

       mean(5; 6; 4; 2; 3; 7)
               = 4.5

       stdev(5; 6; 4; 2; 3; 7)
               = 1.87

       quartile((5; 6; 4; 2; 3; 7); 1)
               = percentile([5; 6; 4; 2; 3; 7]; 25)
               = 2.9166667

       normdist(7; 5)
               = 0.053990967

       spearman(column(load(test.csv); 1); column(load(test.csv); 2))
               = -0.33737388 (depends on the data in the CSV file)

       Time and date

       10:31 + 8:30 to time
               = 19:01

       10h 31min + 8h 30min to time
               = 19:01

       now to utc
               = "2020-07-10T07:50:40Z"

       "2020-07-10T07:50CET" to utc+8
               = "2020-07-10T14:50:00+08:00"

       "2020-05-20" + 523d
               = addDays(2020-05-20; 523)
               = "2021-10-25"

       today - 5 days
               = "2020-07-05"

       "2020-10-05" - today
               = days(today; 2020-10-05)
               = 87

       timestamp(2020-05-20)
               = 1 589 925 600

       stamptodate(1 589 925 600)
               = "2020-05-20T00:00:00"

       "2020-05-20" to calendars
               returns  date  in  Hebrew,  Islamic, Persian, Indian, Chinese, Julian, Coptic, and
               Ethiopian calendars

       Number bases

       52 to bin
               = 0011 0100

       52 to bin16
               = 0000 0000 0011 0100

       52 to oct
               = 064

       52 to hex
               = 0x34

       0x34    = hex(34)
               = base(34; 16)
               = 52

       523<<2&250 to bin
               = 0010 1000

       52.345 to float
               = 0100 0010 0101 0001 0110 0001 0100 1000

       float(01000010010100010110000101001000)
               = 1715241/32768
               = 52.345001

       floatError(52.345)
               = 1.2207031e-6

       52.34 to sexa
               = 52°20'24"

       1978 to roman
               = MCMLXXVIII

       52 to base 32
               = 1K

       sqrt(32) to base sqrt(2)
               = 100000

SEE ALSO

       The       manual       of       the       graphical        user        interface        at
       https://qalculate.github.io/manual/index.html  (includes more details about the syntax and
       elements supported in mathematical  expressions,  and  various  options,  and  includes  a
       complete list of functions, variables, and units)

BUGS

       Please report any bugs at https://github.com/Qalculate/libqalculate/issues

AUTHORS

       Hanna Knutsson <hanna.knutsson@protonmail.com>.

                                           13 July 2020                                   QALC(1)