Halcyon Calc Operations By Result Type

Use the following links to jump to a table for a particular result type:

No Results:

Operation Description
*H

This operation takes a real number from the top of the stack. It then adjusts the plot minimum (see...

*W

This operation takes a real number from the top of the stack. It then adjusts the plot minimum (see...

ABORT

The ABORT operation can be used within an executing program to halt execution and discard execution state. Because...

AXES

This operation takes a complex number from the top of the stack and interprets that complex number as X and Y...

BIN

This operation puts the calculator in binary mode...

CENTR

This operation takes a complex number from the top of the stack and interprets that complex number as X and Y...

CF

This operation takes a real value between 1 and 64 and sets the associated flag bit to zero. See...

CLEAR

This operation removes all items from the stack, leaving an empty stack.

CLUSR

This operation is used to clear all variables and empty directories in the current directory. Any directories which...

CL∑

This operation deletes a variable called ∑DAT which normally contains a real matrix of samples used by other...

CMD

This operation enables or disables the Command functionality on the calculator which allows you to recall recently...

COL∑

This operation is used to designate the dependent and independent column in the statistics data. Real1...

CON

This operation is used to create an array of constant values. The resulting array will have all values set to the...

CONT

The CONT operation will resume a HALT-ed program. By placing a HALT in your program...

CRDIR

This operation takes a symbol and creates a directory with that name in the current directory. Directories are good...

DEC

This operation puts the calculator in decimal mode. Integer...

DEG

This operation puts the calculator in degree mode. What this means is that any other operations which operates on...

DO

The DO operation is used to define a loop structure within a program. It is combined with the...

DRAW

This operation will plot the current equation which was specified with the STEQ...

DROP

This operation removes the item from the top of the stack.

DROP2

This operation removes the top two items from the stack.

DROPN

This operation takes a real number from the top of the stack which indicates how many other items should be popped...

ELSE

This operation is used in conjunction with the IF or IFERR...

END

This operation is used in conjunction with the IF, IFERR...

ENG

This operation enables the engineering format for real numbers on the calculator. The engineering format takes a...

FIX

This operation enables the fixed format for real numbers on the calculator. The fixed format takes a real argument...

FOR

The FOR operation is used to define a loop structure within a program. It is combined with the...

HALT

This operation should be used only during execution of a program. By placing a HALT operation within a program, you...

HEX

This operation puts the calculator in hexadecimal mode....

HOME

This operation changes the current directory to the root directory, regardless of where in the symbol hierarchy the...

IDN

This operation returns an identity matrix. An identity matrix has values zero in all positions except along the...

IF

The IF operation can be used within program execution context to control the flow of execution through the program...

IFERR

The IFERR operation can be used within program execution context to control the flow of execution through the...

IFT

The IFT operation is an alternative to the IF operation. In this form, IFT pops two...

IFTE

The IFTE operation is an alternative to the IF operation. In this form, IFTE pops three...

INDEP

This operation takes a symbol from the top of the stack. The symbol specifies the "independent variable" to use...

KILL

The KILL operation can be used within a program or outside of program execution. When used within a program, it...

LAST

This operation enables or disables the ■Last functionality on the calculator. The...

MENU

This operation has two different modes. If the top of the stack contains a real number, it uses that real number as...

ML

This operation enables or disables multi-line display for the item at the bottom of the stack. When disabled, the...

NEXT

This operation is used in conjunction with the START or FOR...

OCT

This operation puts the calculator in octal mode. Integer values...

ORDER

This operation takes a list of symbols and re-orders those symbols in the current directory to match the order in...

PMAX

This operation takes a complex number from the top of the stack and interprets that complex number as X and Y...

PMIN

This operation takes a complex number from the top of the stack and interprets that complex number as X and Y...

PURGE

This operation is used to remove a symbol from the symbol table, deleting the value associated with it. The...

PUT

This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify...

RAD

This operation puts the calculator in radians mode. What this means is that any other operations which operates on...

RDM

This operation re-dimensions an input vector or matrix according to the size specified by the list. If the list has...

RDX,

This operation switches between the "." and the "," character to represent the radix point in numerical output. By...

RDZ

This function takes a real valued random seed for use in future random numbers generated from...

REPEAT

This operation is used in conjunction with the WHILE operation. See that page for...

RES

This operation takes a real number from the top of the stack and interprets that number as the "resolution" to use...

SCI

This operation enables the scientific format for real numbers on the calculator. The scientific format takes a real...

SCONJ

This operation takes a symbol from the stack. It looks for the value of that symbol in the current directory,...

SF

This operation takes a real value between 1 and 64 and sets the associated flag bit to one. See...

SINV

This operation takes a symbol from the stack. It looks for the value of that symbol in the current directory,...

SNEG

This operation takes a symbol from the stack. It looks for the value of that symbol in the current directory,...

SOLVR

This operation gets the value of EQ from the current directory or one of its parent and goes into a special mode...

SST

This operation will single step the currently HALT-ed program. By placing a HALT at...

START

The START operation is used to define a loop structure within a program. It is combined with the...

STD

This operation enables the standard format for real numbers on the calculator. In standard format, a number will...

STEP

This operation is used in conjunction with the START or FOR...

STEQ

This operation takes any item from the stack and stores it in the current directory under the symbol "EQ". Normally...

STO

This operation is used to store an item on the stack into a named symbol. Anything which can be put onto the stack...

STO*

This operation takes a symbol and another item of just about any type. It looks for the value of that symbol in the...

STO+

This operation takes a symbol and another item of just about any type. It looks for the value of that symbol in the...

STO-

This operation takes a symbol and another item of just about any type. It looks for the value of that symbol in the...

STO/

This operation takes a symbol and another item of just about any type. It looks for the value of that symbol in the...

STOF

This operation takes an integer value from the stack and sets the calculator flags to this value. See...

STO∑

This operation takes the item from the top of the stack and stores it into a variable called ∑DAT. If the ∑DAT...

STWS

This operation sets the word size of all integer values on the calculator. It takes a real value, rounds it to the...

THEN

This operation is used in conjunction with the IF or IFERR...

TRN

This operation returns the transpose of its input array. The input array can be directly on the stack in which case...

UNDO

This operation enables or disables the Undo functionality on the calculator. The Undo function allows you to recall...

UNTIL

This operation is used in conjunction with the DO operation. See that page for more...

WAIT

This operation takes a real number which represents the number of seconds to pause before continuing execution. The...

WHILE

The WHILE operation is used to define a loop structure within a program. It is combined with the...

This operation can only be used from within program context. In that context, it is used like this:

...

∑+

This operation takes a single real value or a single vector or matrix from the stack and adds the value(s) to the ∑...

Any Result Type:

Operation Description
DUP

This operation creates a copy of the item at the top of the stack and pushes that copy onto the stack.

Note...

DUP2

This operation makes copies of the top two items on the stack and pushes both copies onto the stack.

DUPN

This operation takes a real number from the top of the stack which indicates how many items from the stack to...

EVAL

This operation takes an item from the stack and evaluates it. For most types of stack items, evaluation does not...

GET

This operation is used to retrieve an item at a particular index within a list. The list to retrieve from may be...

GETI

This operation is used to retrieve an item at a particular index within a list, vector or matrix. When operating on...

LAST

This operation takes no arguments from the stack. Instead, it pushes onto the stack the last arguments used in the...

LIST→

This operation expects a list at the top of the stack. It then pushes each item from that list into the stack,...

OVER

This operation creates a copy of the item just below the top of the stack and pushes that item onto the stack.

PICK

This operation takes a real number which references an item on the stack. After popping that real number off of the...

RCEQ

This operation looks up the symbol "EQ" in the current directory or one of its parents and pushes the value of that...

RCL

This operation is used to get the value of a symbol. It takes a symbol from the top of the stack and pushes the...

RCL∑

This operation pushes the value stored in the ∑DAT variable onto the stack. If the ∑DAT variable does not exist,...

ROLL

This operation takes a real number from the stack which is the number of items on the stack to roll down. That...

ROLLD

This operation takes a real number from the stack which is the number of items on the stack to roll down. The item...

ROT

This operation rotates the top three items on the stack. In the stack diagram, Item3 was at the top of...

STR→

This operation takes a string from the stack and interprets its contents as though it was just entered and the...

SWAP

This operation pops the top two items off of the stack and pushes them back on in reverse order.

→NUM

This operation takes an item from the stack and evaluates it. For most types of stack items, evaluation does not...

Real Result:

Operation Description
%

This operation takes two real arguments, calculates the product of them and divides that product by 100.

%CH

Given real values x and y pushed onto the stack in that order, this operation calculates 100 * (y - x) / x. Note...

%T

Given Real1 and Real2 from the stack, this function computes 100 * Real2 / Real...

+

The add operation will take its two numerical operands and produce the sum as its result. It operates on reals,...

-

The subtract operation will take its two numerical operands and produce the difference as its result. It operates...

<

This operation takes two real, integer or string values and produces a 1 if the first value is less than the second...

==

This operation produces a 1 if the two arguments are equal, a 0 otherwise. It can operate on real, complex, integer...

>

This operation takes two real, integer or string values and produces a 1 if the first value is greater than the...

ABS

This function returns the absolute value of its input argument. For a real number input, the result is always a...

ACOS

This operation calculates the inverse cosine...

ACOSH

This operation calculates the inverse hyperbolic cosine...

ALOG

This operation calculates the reverse base 10 logarithm of its...

AND

This operation performs a binary and operation on...

ARG

This function takes a complex argument and returns the angle given the real and imaginary components of that complex...

ARRY→

This operation takes a vector or matrix and pushes each value within that array followed by a list describing the...

ASIN

This operation calculates the inverse sine...

ASINH

This operation calculates the inverse hyperbolic sine...

ATAN

This operation calculates the inverse tangent...

ATANH

This operation calculates the hyperbolic sine...

B→R

This operation takes an integer value an converts it to the equivalent real value.

CEIL

Given a real valued input, this function returns the smallest integer which is greater than or equal to the input...

CNRM

This operation calculates the column norm or one-norm...

COLCT

The COLCT operation collects terms and factors in order to simplify an expression. It does this by doing the...

COMB

This operation calculates the number of combinations given...

CONJ

This function takes a complex value and returns its conjugate value. A conjugate value has the same real component...

CONVERT

This operation performs a unit conversion of the value in Real1 from the unit described by Symbol2...

CORR

This operation calculates the correlation...

COS

This operation calculates the cosine function of...

COSH

This operation calculates the hyperbolic cosine...

COV

This operation calculates the covariance between the dependent...

C→R

This function takes a complex value and returns the individual components of that complex value. It pushes the real...

DEPTH

This operation pushes a real number onto the stack which is the number of items on the stack (not including this new...

DET

This operation calculates the determinant of its input...

DOT

This operation calculates the dot product of its arguments....

D→R

This function takes a real number which is an angle expressed in degrees and converts it to an angle expressed in...

EXGET

The EXSUB operation is used to retrieve a portion of an expression. The real argument identifies the subexpression...

EXP

This operation calculates the reverse base e logarithm...

EXPAN

The EXPAN operation expands an expression using a series of different strategies:

  • If the expression has a...
  • EXPM

    This operation calculates the equivalent of (EXP(x) - 1) where x is the the argument...

    FACT

    This function returns the factorial of its input parameter. For integer input values greater than or equal to 0,...

    FC?

    This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 0...

    FC?C

    This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 0...

    FLOOR

    Given a real valued input, this function returns the largest integer which is less than or equal to the input value...

    FP

    This function takes a real value and returns a real value, returning only the fractional component of that input...

    FS?

    This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 1...

    FS?C

    This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 1...

    GET

    This operation is used to retrieve an item at a particular index within a list. The list to retrieve from may be...

    GETI

    This operation is used to retrieve an item at a particular index within a list, vector or matrix. When operating on...

    HMS+

    This function takes arguments and returns results which express a time as hours, minutes, seconds and fractions of...

    HMS-

    This function takes arguments and returns results which express a time as hours, minutes, seconds and fractions of...

    HMS→

    This function takes a real argument which describes a time as hours, minutes and seconds and converts that time into...

    IM

    This function takes a complex value as input and returns the imaginary component of that complex number. If the...

    INV

    This operation takes a real of complex value and produces its inverse. The inverse is one divided by the input...

    IP

    This function takes a real value and returns a real value, removing any fractional component of that input value....

    LIST→

    This operation expects a list at the top of the stack. It then pushes each item from that list into the stack,...

    LN

    This operation calculates the natural logarithm (base e)...

    LNP1

    This operation calculates the equivalent of LN(1 + x) where x is the the argument from...

    LOG

    This operation calculates the base 10 logarithm of its input...

    LR

    This operation calculates the linear regression between...

    MANT

    This function returns the mantissa of the input real value. Assuming that the real value is expressed in scientific...

    MAX

    This function returns the largest of the two real values it takes as input.

    MAX∑

    This operation gets the maximum values from the statistics data. It expects to find a variable called ∑DAT which...

    MEAN

    This operation calculates the mean of the statistics data...

    MEM

    This operation pushes the amount of free memory in bytes onto the stack as a real value.

    MIN

    This function returns the smallest of the two real values it takes as input.

    MIN∑

    This operation gets the minimum values from the statistics data. It expects to find a variable called ∑DAT which...

    MOD

    This function returns the modulus or remainder of its two real valued inputs.

    NEG

    Given a real or complex input, this function returns the value of that input multiplied by -1. Given a matrix or...

    NOT

    This operation performs a binary not operation on...

    NUM

    This operation takes a string value and maps it to a real value. The first character in the string is used to...

    N∑

    This operation returns the number of samples in the statistics data. It expects to find a variable called ∑DAT...

    OR

    This operation performs a binary or operation on its...

    PERM

    This operation calculates the number of permutations given...

    POS

    This operation is used to find the position of a substring within a string or the position of an item in a list. If...

    PREDV

    This operation predicts a value for the dependent variable given an input value from the independent variable by...

    PUTI

    This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify a...

    P→R

    This function takes a complex value expressed in polar coordinates, a radius and an angle, and returns a complex...

    RAND

    This operation takes no input parameters and returns a random real valued result. The value is greater than or...

    RCWS

    This operation gets the word size of all integer values on the calculator. It pushes a real value to the stack...

    RE

    This function takes a complex value as input and returns the real component of that complex number. If the input...

    RND

    Given the formatting mode for numbers, this function rounds those numbers to the digits displayed, removing any...

    RNRM

    This operation calculates the row norm or infinity norm...

    ROOT

    This operation takes an expression, a symbol to solve for and a real, complex or list of guesses and produces a...

    R→D

    This function takes a real number which is an angle expressed in radians and converts it to an angle expressed in...

    R→P

    This function takes a complex value expressed in rectangular coordinates and returns a complex value expressed in...

    SAME

    This operation takes two items from the stack and pushes a real value which is 1 if the two items are the same,...

    SDEV

    This operation calculates the standard deviation of...

    SIGN

    If given a positive real value, this function returns 1. If the real value is 0, this function returns 0. If this...

    SIN

    This operation calculates the sine function of...

    SINH

    This operation calculates the hyperbolic sine...

    SIZE

    This operation takes a string, list, vector, matrix or expression argument. In the case of a string, it pushes the...

    SQ

    The SQ operation multiplies its input argument by itself to produce the square of that input value. The value can...

    TAN

    This operation calculates the tangent function of...

    TANH

    This operation calculates the hyperbolic tangent...

    TOT

    This operation calculates the total of the statistics data. It expects to find a variable called ∑DAT which has a...

    TYPE

    This operation pops an item off the stack and then pushes a real number depending on the type of item it just popped...

    UTPC

    This operation calculates the probability given a ...

    UTPF

    This operation calculates the probability given a F...

    UTPN

    This operation calculates the probability given a normal...

    UTPT

    This operation calculates the probability given a ...

    VAR

    This operation calculates the variance of the statistics data....

    XOR

    This operation performs a binary xor operation on...

    XPON

    This function returns the exponent of the input real value. Assuming that the real value is expressed in scientific...

    ^

    This operation calculates xy given that values x and y are pushed onto the stack in that order. Either...

    ×

    The multiply operation will take its two numerical operands and produce the product as its result. It operates on...

    ÷

    The divide operation will take its two numerical operands and produce the quotient as its result. It operates on...

    →HMS

    This function takes a real argument which describes a time as hours and fractions of hours (the decimal component)...

    ∑-

    This operation removes and returns the last sample from the statistics data. It expects to find a variable called ∑...

    This operation takes a real or complex value and finds its square root. The positive root is return for real values...

    This operation can be used to determine the symbolic or numeric integral of the input expression or program. For...

    This operation produces a 1 if the two arguments are not equal, a 0 otherwise. It can operate on real, complex,...

    This operation takes two real, integer or string values and produces a 1 if the first value is less than or equal to...

    This operation takes two real, integer or string values and produces a 1 if the first value is greater than or equal...

    Complex Result:

    Operation Description
    +

    The add operation will take its two numerical operands and produce the sum as its result. It operates on reals,...

    -

    The subtract operation will take its two numerical operands and produce the difference as its result. It operates...

    ACOS

    This operation calculates the inverse cosine...

    ACOSH

    This operation calculates the inverse hyperbolic cosine...

    ALOG

    This operation calculates the reverse base 10 logarithm of its...

    ARRY→

    This operation takes a vector or matrix and pushes each value within that array followed by a list describing the...

    ASIN

    This operation calculates the inverse sine...

    ASINH

    This operation calculates the inverse hyperbolic sine...

    ATAN

    This operation calculates the inverse tangent...

    ATANH

    This operation calculates the hyperbolic sine...

    COLCT

    The COLCT operation collects terms and factors in order to simplify an expression. It does this by doing the...

    CONJ

    This function takes a complex value and returns its conjugate value. A conjugate value has the same real component...

    COS

    This operation calculates the cosine function of...

    COSH

    This operation calculates the hyperbolic cosine...

    DET

    This operation calculates the determinant of its input...

    DOT

    This operation calculates the dot product of its arguments....

    EXGET

    The EXSUB operation is used to retrieve a portion of an expression. The real argument identifies the subexpression...

    EXP

    This operation calculates the reverse base e logarithm...

    EXPAN

    The EXPAN operation expands an expression using a series of different strategies:

  • If the expression has a...
  • GET

    This operation is used to retrieve an item at a particular index within a list. The list to retrieve from may be...

    GETI

    This operation is used to retrieve an item at a particular index within a list, vector or matrix. When operating on...

    INV

    This operation takes a real of complex value and produces its inverse. The inverse is one divided by the input...

    LN

    This operation calculates the natural logarithm (base e)...

    LOG

    This operation calculates the base 10 logarithm of its input...

    NEG

    Given a real or complex input, this function returns the value of that input multiplied by -1. Given a matrix or...

    P→R

    This function takes a complex value expressed in polar coordinates, a radius and an angle, and returns a complex...

    RND

    Given the formatting mode for numbers, this function rounds those numbers to the digits displayed, removing any...

    R→C

    This function takes two real values and returns a complex value. One real value is used as the real component of...

    R→P

    This function takes a complex value expressed in rectangular coordinates and returns a complex value expressed in...

    SIGN

    If given a positive real value, this function returns 1. If the real value is 0, this function returns 0. If this...

    SIN

    This operation calculates the sine function of...

    SINH

    This operation calculates the hyperbolic sine...

    SQ

    The SQ operation multiplies its input argument by itself to produce the square of that input value. The value can...

    TAN

    This operation calculates the tangent function of...

    TANH

    This operation calculates the hyperbolic tangent...

    ^

    This operation calculates xy given that values x and y are pushed onto the stack in that order. Either...

    ×

    The multiply operation will take its two numerical operands and produce the product as its result. It operates on...

    ÷

    The divide operation will take its two numerical operands and produce the quotient as its result. It operates on...

    This operation takes a real or complex value and finds its square root. The positive root is return for real values...

    Array Result:

    Operation Description
    +

    The add operation will take its two numerical operands and produce the sum as its result. It operates on reals,...

    -

    The subtract operation will take its two numerical operands and produce the difference as its result. It operates...

    CON

    This operation is used to create an array of constant values. The resulting array will have all values set to the...

    CONJ

    This function takes a complex value and returns its conjugate value. A conjugate value has the same real component...

    CROSS

    This operation calculates the cross product of the input...

    C→R

    This function takes a complex value and returns the individual components of that complex value. It pushes the real...

    GETI

    This operation is used to retrieve an item at a particular index within a list, vector or matrix. When operating on...

    IDN

    This operation returns an identity matrix. An identity matrix has values zero in all positions except along the...

    IM

    This function takes a complex value as input and returns the imaginary component of that complex number. If the...

    INV

    This operation takes a real of complex value and produces its inverse. The inverse is one divided by the input...

    MAX∑

    This operation gets the maximum values from the statistics data. It expects to find a variable called ∑DAT which...

    MEAN

    This operation calculates the mean of the statistics data...

    MIN∑

    This operation gets the minimum values from the statistics data. It expects to find a variable called ∑DAT which...

    NEG

    Given a real or complex input, this function returns the value of that input multiplied by -1. Given a matrix or...

    PUT

    This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify...

    PUTI

    This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify a...

    RDM

    This operation re-dimensions an input vector or matrix according to the size specified by the list. If the list has...

    RE

    This function takes a complex value as input and returns the real component of that complex number. If the input...

    RSD

    This operation calculates the residual of its inputs which is:

    Array1 - Array2...

    R→C

    This function takes two real values and returns a complex value. One real value is used as the real component of...

    SDEV

    This operation calculates the standard deviation of...

    SQ

    The SQ operation multiplies its input argument by itself to produce the square of that input value. The value can...

    TOT

    This operation calculates the total of the statistics data. It expects to find a variable called ∑DAT which has a...

    TRN

    This operation returns the transpose of its input array. The input array can be directly on the stack in which case...

    VAR

    This operation calculates the variance of the statistics data....

    ×

    The multiply operation will take its two numerical operands and produce the product as its result. It operates on...

    ÷

    The divide operation will take its two numerical operands and produce the quotient as its result. It operates on...

    →ARRY

    This operation is used to create vectors and matrices from multiple values on the stack. If the top of the stack is...

    ∑-

    This operation removes and returns the last sample from the statistics data. It expects to find a variable called ∑...

    Integer Result:

    Operation Description
    +

    The add operation will take its two numerical operands and produce the sum as its result. It operates on reals,...

    -

    The subtract operation will take its two numerical operands and produce the difference as its result. It operates...

    AND

    This operation performs a binary and operation on...

    ASR

    This operation takes an integer from the stack, shifts each bit one...

    ERRN

    The ERRN operation returns a numerical value which represents the most recently raised error by the calculator....

    NOT

    This operation performs a binary not operation on...

    OR

    This operation performs a binary or operation on its...

    RCLF

    This operation retrieves the current calculator flags and pushes it as an integer value onto the stack. See...

    RL

    This operation takes an integer from the stack, shifts each bit one...

    RLB

    This operation takes an integer from the stack, shifts each byte one...

    RR

    This operation takes an integer from the stack, shifts each bit one...

    RRB

    This operation takes an integer from the stack, shifts each byte one...

    R→B

    This operation takes a real number and converts it to an integer value. If the real value is less than 0, then the...

    SL

    This operation takes an integer from the stack, shifts each bit one...

    SLB

    This operation takes an integer from the stack, shifts each byte one...

    SR

    This operation takes an integer from the stack, shifts each bit one...

    SRB

    This operation takes an integer from the stack, shifts each byte one...

    XOR

    This operation performs a binary xor operation on...

    ×

    The multiply operation will take its two numerical operands and produce the product as its result. It operates on...

    ÷

    The divide operation will take its two numerical operands and produce the quotient as its result. It operates on...

    List Result:

    Operation Description
    +

    The add operation will take its two numerical operands and produce the sum as its result. It operates on reals,...

    ARRY→

    This operation takes a vector or matrix and pushes each value within that array followed by a list describing the...

    GETI

    This operation is used to retrieve an item at a particular index within a list, vector or matrix. When operating on...

    OBGET

    The OBGET operation is used to retrieve a portion of an expression and return it as an item in a list. The real...

    PATH

    This operation pushes a list onto the stack which contains the set of directories which leads to the current...

    PPAR

    This operation is really just a shortcut for accessing a symbol called "PPAR" from the current directory. The PPAR...

    PUT

    This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify...

    PUTI

    This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify a...

    SIZE

    This operation takes a string, list, vector, matrix or expression argument. In the case of a string, it pushes the...

    SUB

    This operation extracts a substring or a sub-list from a string or a list. If it is provided a string and two real...

    VARS

    This operation pushes a list onto the stack which contains the set of variables and directories in the current...

    →LIST

    This operation expects a real number at the top of the stack which is the size of the list it should create. Then,...

    String Result:

    Operation Description
    +

    The add operation will take its two numerical operands and produce the sum as its result. It operates on reals,...

    CHR

    This operation takes a real value and maps it to a single character which it returns as a string value. The real...

    CONVERT

    This operation performs a unit conversion of the value in Real1 from the unit described by Symbol2...

    ERRM

    This operation pushes a string onto the stack which is the error message most recently raised by the calculator....

    SUB

    This operation extracts a substring or a sub-list from a string or a list. If it is provided a string and two real...

    →STR

    This operation pops one argument from the stack and converts that item into a string. Whatever was displayed on the...

    Symbol Result:

    Operation Description
    COLCT

    The COLCT operation collects terms and factors in order to simplify an expression. It does this by doing the...

    CONVERT

    This operation performs a unit conversion of the value in Real1 from the unit described by Symbol2...

    EXGET

    The EXSUB operation is used to retrieve a portion of an expression. The real argument identifies the subexpression...

    EXPAN

    The EXPAN operation expands an expression using a series of different strategies:

  • If the expression has a...
  • GETI

    This operation is used to retrieve an item at a particular index within a list, vector or matrix. When operating on...

    MAXR

    This operation returns a symbol which represents the largest real value which can be represented on the calculator...

    MINR

    This operation returns a symbol which represents the smallest real value greater than zero which can be represented...

    PREDV

    This operation predicts a value for the dependent variable given an input value from the independent variable by...

    PUTI

    This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify a...

    Expression Result:

    Operation Description
    %

    This operation takes two real arguments, calculates the product of them and divides that product by 100.

    %CH

    Given real values x and y pushed onto the stack in that order, this operation calculates 100 * (y - x) / x. Note...

    %T

    Given Real1 and Real2 from the stack, this function computes 100 * Real2 / Real...

    +

    The add operation will take its two numerical operands and produce the sum as its result. It operates on reals,...

    -

    The subtract operation will take its two numerical operands and produce the difference as its result. It operates...

    <

    This operation takes two real, integer or string values and produces a 1 if the first value is less than the second...

    =

    This operation always produces an expression which describes a relationship between its left and right side. Unlike...

    ==

    This operation produces a 1 if the two arguments are equal, a 0 otherwise. It can operate on real, complex, integer...

    >

    This operation takes two real, integer or string values and produces a 1 if the first value is greater than the...

    ABS

    This function returns the absolute value of its input argument. For a real number input, the result is always a...

    ACOS

    This operation calculates the inverse cosine...

    ACOSH

    This operation calculates the inverse hyperbolic cosine...

    ALOG

    This operation calculates the reverse base 10 logarithm of its...

    AND

    This operation performs a binary and operation on...

    ARG

    This function takes a complex argument and returns the angle given the real and imaginary components of that complex...

    ASIN

    This operation calculates the inverse sine...

    ASINH

    This operation calculates the inverse hyperbolic sine...

    ASR

    This operation takes an integer from the stack, shifts each bit one...

    ATAN

    This operation calculates the inverse tangent...

    ATANH

    This operation calculates the hyperbolic sine...

    B→R

    This operation takes an integer value an converts it to the equivalent real value.

    CEIL

    Given a real valued input, this function returns the smallest integer which is greater than or equal to the input...

    CHR

    This operation takes a real value and maps it to a single character which it returns as a string value. The real...

    COLCT

    The COLCT operation collects terms and factors in order to simplify an expression. It does this by doing the...

    COMB

    This operation calculates the number of combinations given...

    CONJ

    This function takes a complex value and returns its conjugate value. A conjugate value has the same real component...

    COS

    This operation calculates the cosine function of...

    COSH

    This operation calculates the hyperbolic cosine...

    D→R

    This function takes a real number which is an angle expressed in degrees and converts it to an angle expressed in...

    EXGET

    The EXSUB operation is used to retrieve a portion of an expression. The real argument identifies the subexpression...

    EXP

    This operation calculates the reverse base e logarithm...

    EXPAN

    The EXPAN operation expands an expression using a series of different strategies:

  • If the expression has a...
  • EXPM

    This operation calculates the equivalent of (EXP(x) - 1) where x is the the argument...

    EXSUB

    The EXSUB operation is used to substitute a portion of an expression with the item from the top of the stack. The...

    FACT

    This function returns the factorial of its input parameter. For integer input values greater than or equal to 0,...

    FC?

    This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 0...

    FC?C

    This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 0...

    FLOOR

    Given a real valued input, this function returns the largest integer which is less than or equal to the input value...

    FP

    This function takes a real value and returns a real value, returning only the fractional component of that input...

    FS?

    This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 1...

    FS?C

    This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 1...

    HMS+

    This function takes arguments and returns results which express a time as hours, minutes, seconds and fractions of...

    HMS-

    This function takes arguments and returns results which express a time as hours, minutes, seconds and fractions of...

    HMS→

    This function takes a real argument which describes a time as hours, minutes and seconds and converts that time into...

    IM

    This function takes a complex value as input and returns the imaginary component of that complex number. If the...

    INV

    This operation takes a real of complex value and produces its inverse. The inverse is one divided by the input...

    IP

    This function takes a real value and returns a real value, removing any fractional component of that input value....

    ISOL

    This operation takes an expression and a symbol. It then searches for that symbol in that expression. The first...

    LN

    This operation calculates the natural logarithm (base e)...

    LNP1

    This operation calculates the equivalent of LN(1 + x) where x is the the argument from...

    LOG

    This operation calculates the base 10 logarithm of its input...

    MANT

    This function returns the mantissa of the input real value. Assuming that the real value is expressed in scientific...

    MAX

    This function returns the largest of the two real values it takes as input.

    MIN

    This function returns the smallest of the two real values it takes as input.

    MOD

    This function returns the modulus or remainder of its two real valued inputs.

    NEG

    Given a real or complex input, this function returns the value of that input multiplied by -1. Given a matrix or...

    NOT

    This operation performs a binary not operation on...

    NUM

    This operation takes a string value and maps it to a real value. The first character in the string is used to...

    OBSUB

    The OBSUB operation is used to substitute a portion of an expression with the contents of a list. The real argument...

    OR

    This operation performs a binary or operation on its...

    PERM

    This operation calculates the number of permutations given...

    POS

    This operation is used to find the position of a substring within a string or the position of an item in a list. If...

    PREDV

    This operation predicts a value for the dependent variable given an input value from the independent variable by...

    P→R

    This function takes a complex value expressed in polar coordinates, a radius and an angle, and returns a complex...

    QUAD

    This operation takes an expression and a symbol and finds the root of the expression using the...

    RE

    This function takes a complex value as input and returns the real component of that complex number. If the input...

    RL

    This operation takes an integer from the stack, shifts each bit one...

    RLB

    This operation takes an integer from the stack, shifts each byte one...

    RND

    Given the formatting mode for numbers, this function rounds those numbers to the digits displayed, removing any...

    RR

    This operation takes an integer from the stack, shifts each bit one...

    RRB

    This operation takes an integer from the stack, shifts each byte one...

    R→B

    This operation takes a real number and converts it to an integer value. If the real value is less than 0, then the...

    R→C

    This function takes two real values and returns a complex value. One real value is used as the real component of...

    R→D

    This function takes a real number which is an angle expressed in radians and converts it to an angle expressed in...

    R→P

    This function takes a complex value expressed in rectangular coordinates and returns a complex value expressed in...

    SHOW

    This operation takes an expression and a target symbol. It then recursively evaluates the value of each symbol in...

    SIGN

    If given a positive real value, this function returns 1. If the real value is 0, this function returns 0. If this...

    SIN

    This operation calculates the sine function of...

    SINH

    This operation calculates the hyperbolic sine...

    SL

    This operation takes an integer from the stack, shifts each bit one...

    SLB

    This operation takes an integer from the stack, shifts each byte one...

    SQ

    The SQ operation multiplies its input argument by itself to produce the square of that input value. The value can...

    SR

    This operation takes an integer from the stack, shifts each bit one...

    SRB

    This operation takes an integer from the stack, shifts each byte one...

    TAN

    This operation calculates the tangent function of...

    TANH

    This operation calculates the hyperbolic tangent...

    TAYLR

    This operation calculates an approximation of the Taylor series...

    UTPC

    This operation calculates the probability given a ...

    UTPF

    This operation calculates the probability given a F...

    UTPN

    This operation calculates the probability given a normal...

    UTPT

    This operation calculates the probability given a ...

    XOR

    This operation performs a binary xor operation on...

    XPON

    This function returns the exponent of the input real value. Assuming that the real value is expressed in scientific...

    ^

    This operation calculates xy given that values x and y are pushed onto the stack in that order. Either...

    ×

    The multiply operation will take its two numerical operands and produce the product as its result. It operates on...

    ÷

    The divide operation will take its two numerical operands and produce the quotient as its result. It operates on...

    →HMS

    This function takes a real argument which describes a time as hours and fractions of hours (the decimal component)...

    ∂/∂x

    This operation determines the derivative of the expression...

    This operation takes a real or complex value and finds its square root. The positive root is return for real values...

    This operation can be used to determine the symbolic or numeric integral of the input expression or program. For...

    This operation produces a 1 if the two arguments are not equal, a 0 otherwise. It can operate on real, complex,...

    This operation takes two real, integer or string values and produces a 1 if the first value is less than or equal to...

    This operation takes two real, integer or string values and produces a 1 if the first value is greater than or equal...

    Program Result: