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        <title>newRPL User Manual manual:chapter3</title>
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        <title>newRPL User Manual</title>
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        <dc:date>2019-07-25T16:09:25+00:00</dc:date>
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        <title>manual:chapter3:angles</title>
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        <description>Angles

----------

Entering Angles

Angles are their own object type.  An angle is entered by prefixing a number with the angle symbol (∡, shortcut AL-RS-6), followed by a number, then finally a suffix that indicates the system (° = degrees, r = radians, g = grads, or d = DMS [DDD.MMSS, where DDD=degrees, MM=minutes, SS=seconds])</description>
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        <dc:date>2019-10-07T16:09:20+00:00</dc:date>
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        <title>manual:chapter3:complex</title>
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        <description>Complex numbers

----------

Entering complex numbers

A complex number can be represented mathematically in rectangular form as $z = x + iy$ or in polar form as $z = re^{i\theta}$.  A complex number is entered as a pair of numbers comma or space separated and enclosed in parenthesis.  For example, the complex number $5+3i$$r,\theta$$+,-,\times,\div$$\sin, \operatorname{asin}, \cos, \operatorname{acos}, \tan, \operatorname{atan}$$x^2, \sqrt x , e^x, \ln x, 10^x, \log x$$z=x+iy=re^{i\theta}$$\the…</description>
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        <dc:date>2019-11-25T03:17:25+00:00</dc:date>
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        <title>manual:chapter3:fonts</title>
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        <description>Fonts

newRPL fully supports font customization: each part of the display interface uses its own font, as well as selected environments such as the command line or the forms engine.

Since text support in newRPL is based on Unicode 10.0, fonts support up to 65536 different glyphs and represent up to 1048576 different code points. Fonts can be any size and be fixed-width or proportional.</description>
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        <dc:date>2021-08-15T14:51:21+00:00</dc:date>
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        <title>manual:chapter3:lists</title>
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        <description>Lists

Lists are ordered collections of objects of any type. Lists are entered as a sequence of objects enclosed in curly braces { and }. The syntax rules of each individual object still apply when they are within a list.
Lists can contain any number of items, including none, therefore the empty list</description>
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        <dc:date>2022-03-08T13:20:03+00:00</dc:date>
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        <title>manual:chapter3:numformat</title>
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        <description>Number ranges, precision, and storage sizes

A number can have a base-10 exponent up to 30,000 (note that the stock 50g ROM only allows an exponent up to 499). Thus, numbers can range from $10^{-30,000}$ to $10^{+30,000}$.

The precision is a user selectable parameter, using SETPREC$-2^{63}$$2^{63}$</description>
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        <title>manual:chapter3:numformatting</title>
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        <description>Displaying and formatting numbers

A number can be displayed on the screen in different ways, regardless of the internal precision or representation of the number.
The following are examples of the possible appearance of numbers in newRPL: 

 123456789.123456789</description>
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        <dc:date>2019-11-06T15:21:51+00:00</dc:date>
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        <title>manual:chapter3:reals</title>
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        <description>Basic numbers

Approximate versus Exact

A number in newRPL is represented as exact or approximate.  To enter a number as approximate use a trailing dot.  To enter a number as exact omit any trailing dot.  For routine arithmetic this distinction doesn&#039;t matter much, but it does come into play when evaluating symbolic expressions.$-(2^{63}-1)$$2^{63}-1$</description>
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        <dc:date>2021-09-24T09:56:45+00:00</dc:date>
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        <title>manual:chapter3:solver</title>
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        <description>Multiple Equation Solver

Introduction

newRPL includes an implementation of the Nelder-Mead Simplex Algorithm, which is a generic search algorithm for multiple variables.
The implementation provides a very flexible framework for the user to experiment with root searching for anything from a single linear equation to a system of multiple non-linear equations.</description>
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        <dc:date>2017-09-09T20:07:38+00:00</dc:date>
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        <title>manual:chapter3:strings</title>
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        <description>Strings

Strings are enclosed in double quotes (“ ”) and are UTF-8 encoded.  As with the stock 50g ROM, use of the -&gt;STR and STR-&gt; are useful for converting other objects to strings and vice versa.  Strings can be cancatenated by the plus (+) operator:</description>
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        <dc:date>2021-03-22T13:52:25+00:00</dc:date>
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        <title>manual:chapter3:symbolic</title>
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        <description>Symbolic expressions

Symbolic expressions (formulas, equations, polynomials, etc) are enclosed in single quotes (&#039; &#039;) and may include any mathematically valid combination of numbers, constants, variables, functions and operators.

Examples of valid symbolic expressions are:</description>
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        <dc:date>2019-11-19T13:34:55+00:00</dc:date>
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        <title>manual:chapter3:units</title>
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        <description>Units

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Entering Units

Units are objects that have 2 separate parts: the value and the unit per se. The value is usually a real number, but units may be attached to other numerical objects as well, for example complex numbers and vectors or matrices can have associated units. The unit part is entered using the underscore $10^{24}$$10^{21}$$10^{18}$$10^{15}$$10^{12}$$10^{9}$$10^{6}$$10^{3}$$10^{2}$$10^{1}$$10^{-1}$$10^{-2}$$10^{-3}$$10^{-6}$$10^{-9}$$10^{-12}$$10^{-15}$$10^{-18}$$10^{…</description>
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