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Add prod function and new sum function syntax to help.txt

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PaddiM8 2022-03-27 00:48:59 +01:00
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cli/help.txt
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@ -37,7 +37,7 @@ Functions
Functions are defined with the following syntax: name(param1, param2, etc.) = value Functions are defined with the following syntax: name(param1, param2, etc.) = value
Examples: f(x) = 2x+3; A(x, y) = (xy)/2 Examples: f(x) = 2x+3; A(x, y) = (xy)/2
They are used like this: name(arg1, arg2, etc.) They are used like this: name(arg1, arg2, etc.)
Example: f(3) + 3 A(2, 3) Example: f(3) + 3A(2, 3)
Predefined functions Predefined functions
sin, cos, tan, cot, csc, sec sin, cos, tan, cot, csc, sec
@ -51,19 +51,24 @@ Predefined functions
min, max, hyp min, max, hyp
log Eg. log(1000, 10) is the same as log10(1000) log Eg. log(1000, 10) is the same as log10(1000)
root Eg. root(16, 3) is the same as 3√16 root Eg. root(16, 3) is the same as 3√16
sum Eg. sum(1, 4, 2n), example below sum Eg. sum(n=1, 4, 2n), example below
Sum function Sum function
The sum function lets you sum an expression with an incrementing variable. The sum function lets you sum an expression with an incrementing variable.
It takes three arguments: start value, end value, and expression. It takes three arguments: start value, end value, and expression.
If you press tab after typing out "sum", it will be replaced with a sigma symbol. If you press tab after typing out "sum", it will be replaced with a sigma symbol.
The expression is what will be summed, and will be able to use the "n" variable, The expression is what will be summed, and will be able to use the variable defined
which represents the current value between the start value and the end value. in first argument (eg. n=1). The value of the variable increments by one.
The value of "n" increments. Example: sum(n=1, 4, 2n) will be the same as 2*1 + 2*2 + 2*3 + 2*4 = 20
Example: sum(1, 4, 2n) will be the same as 2*1 + 2*2 + 2*3 + 2*4 = 20 This can for example be used to calculate e: Σ(n=0, 10000, 1/n!) = 2.7182818284590455
This can for example be used to calculate e: Σ(0, 10000, 1/n!) = 2.7182818284590455
More precision can be gotten by changing the "--precision" flag. Run `kalker --help` for more info. More precision can be gotten by changing the "--precision" flag. Run `kalker --help` for more info.
The sum function can also be used to sum vectors, eg. sum(1, 2, 3) or sum(v) or sum[1, 2, 3].
Prod function
The prod function works the same way as the sum function but performs
multiplication instead of addition.
Constants Constants
pi or π = 3.14159265 pi or π = 3.14159265
e = 2.71828182 e = 2.71828182