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variables.html
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variables.html
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<h1>Variables</h1>
<h2>Assignment</h2>
<div class="well well-sm">
<figure>
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"/>
<figcaption><div class="markdown"><p>Screenshot of a calculator provided by the Google search engine.</p>
</div></figcaption>
</figure>
</div>
<p>The Google calculator has a button <code>Ans</code> to refer to the answer to the previous evaluation. This is a form of memory. The last answer is stored in a specific place in memory for retrieval when <code>Ans</code> is used. In some calculators, more advanced memory features are possible. For some, it is possible to push values onto a stack of values for them to be referred to at a later time. This proves useful for complicated expressions, say, as the expression can be broken into smaller intermediate steps to be computed. These values can then be appropriately combined. This strategy is a good one, though the memory buttons can make its implementation a bit cumbersome.</p>
<p>With <code>Julia</code>, as with other programming languages, it is very easy to refer to past evaluations. This is done by <em>assignment</em> whereby a computed value stored in memory is associated with a name. The name can be used to look up the value later.</p>
<p>Assignment in <code>Julia</code> is handled by the equals sign and takes the general form <code>variable_name = value</code>. For example, here we assign values to the variables <code>x</code> and <code>y</code></p>
<pre class='hljl'>
<span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>sqrt</span><span class='hljl-p'>(</span><span class='hljl-ni'>2</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-n'>y</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>42</span>
</pre>
<pre class="output">
42
</pre>
<p>In an assignment, the right hand side is returned, so it appears nothing has happened. However, the values are there, as can be checked by typing their name</p>
<pre class='hljl'>
<span class='hljl-n'>x</span>
</pre>
<pre class="output">
1.4142135623730951
</pre>
<p>Just typing a variable name (without a trailing semicolon) causes the assigned value to be displayed.</p>
<p>Variable names can be reused, as here, where we redefine <code>x</code>:</p>
<pre class='hljl'>
<span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span>
</pre>
<pre class="output">
2
</pre>
<p><code>Julia</code> is referred to as a "dynamic language" which means (in most cases) that a variable can be reassigned with a value of a different type, as we did with <code>x</code> where first it was assigned to a floating point value then to an integer value. (Though we meet some cases–-generic functions–- where <code>Julia</code> balks at reassigning a variable if the type if different.)</p>
<p>More importantly than displaying a value, is the use of variables to build up more complicated expressions. For example, to compute</p>
<p class="math">\[
~
\frac{1 + 2 \cdot 3^4}{5 - 6/7}
~
\]</p>
<p>we might break it into the grouped pieces implied by the mathematical notation:</p>
<pre class='hljl'>
<span class='hljl-n'>top</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>1</span><span class='hljl-t'> </span><span class='hljl-oB'>+</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-oB'>*</span><span class='hljl-ni'>3</span><span class='hljl-oB'>^</span><span class='hljl-ni'>4</span><span class='hljl-t'>
</span><span class='hljl-n'>bottom</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>5</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-ni'>6</span><span class='hljl-oB'>/</span><span class='hljl-ni'>7</span><span class='hljl-t'>
</span><span class='hljl-n'>top</span><span class='hljl-oB'>/</span><span class='hljl-n'>bottom</span>
</pre>
<pre class="output">
39.34482758620689
</pre>
<h3>Examples</h3>
<h5>Example</h5>
<p>Imagine we have the following complicated expression related to the trajectory of a <a href="http://www.researchgate.net/publication/230963032_On_the_trajectories_of_projectiles_depicted_in_early_ballistic_woodcuts">projectile</a> with wind resistance:</p>
<p class="math">\[
~
\left(\frac{g}{k v_0\cos(\theta)} + \tan(\theta) \right) x + \frac{g}{k^2}\ln\left(1 - \frac{k}{v_0\cos(\theta)} x \right)
~
\]</p>
<p>Here <span class="math">$g$</span> is the gravitational constant <span class="math">$9.8$</span> and <span class="math">$v_0$</span>, <span class="math">$\theta$</span> and <span class="math">$k$</span> parameters, which we take to be <span class="math">$200$</span>, <span class="math">$45$</span> degrees, and <span class="math">$1/2$</span> respectively. With these values, the above expression can be computed when <span class="math">$x=100$</span>:</p>
<pre class='hljl'>
<span class='hljl-n'>g</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nfB'>9.8</span><span class='hljl-t'>
</span><span class='hljl-n'>v0</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>200</span><span class='hljl-t'>
</span><span class='hljl-n'>theta</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>45</span><span class='hljl-t'>
</span><span class='hljl-n'>k</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>1</span><span class='hljl-oB'>/</span><span class='hljl-ni'>2</span><span class='hljl-t'>
</span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>100</span><span class='hljl-t'>
</span><span class='hljl-n'>a</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>v0</span><span class='hljl-t'> </span><span class='hljl-oB'>*</span><span class='hljl-t'> </span><span class='hljl-nf'>cosd</span><span class='hljl-p'>(</span><span class='hljl-n'>theta</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-p'>(</span><span class='hljl-n'>g</span><span class='hljl-oB'>/</span><span class='hljl-p'>(</span><span class='hljl-n'>k</span><span class='hljl-oB'>*</span><span class='hljl-n'>a</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>+</span><span class='hljl-t'> </span><span class='hljl-nf'>tand</span><span class='hljl-p'>(</span><span class='hljl-n'>theta</span><span class='hljl-p'>))</span><span class='hljl-oB'>*</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>+</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>g</span><span class='hljl-oB'>/</span><span class='hljl-n'>k</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>*</span><span class='hljl-t'> </span><span class='hljl-nf'>log</span><span class='hljl-p'>(</span><span class='hljl-ni'>1</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-n'>k</span><span class='hljl-oB'>/</span><span class='hljl-n'>a</span><span class='hljl-oB'>*</span><span class='hljl-n'>x</span><span class='hljl-p'>)</span>
</pre>
<pre class="output">
96.75771791632161
</pre>
<p>By defining a new variable <code>a</code> to represent a value that is repeated a few times in the expression, the last command is greatly simplified. Doing so makes it much easier to check for accuracy against the expression to compute.</p>
<h5>Example</h5>
<p>A common expression in mathematics is a polynomial expression, for example <span class="math">$-16x^2 + 32x - 12$</span>. Translating this to <code>Julia</code> at <span class="math">$x =3$</span> we might have:</p>
<pre class='hljl'>
<span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>3</span><span class='hljl-t'>
</span><span class='hljl-oB'>-</span><span class='hljl-ni'>16</span><span class='hljl-oB'>*</span><span class='hljl-n'>x</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-t'> </span><span class='hljl-oB'>+</span><span class='hljl-t'> </span><span class='hljl-ni'>32</span><span class='hljl-oB'>*</span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-ni'>12</span>
</pre>
<pre class="output">
-60
</pre>
<p>This looks nearly identical to the mathematical expression, but we inserted <code>*</code> to indicate multiplication between the constant and the variable. In fact, this step is not needed as Julia allows numeric literals to have an implied multiplication:</p>
<pre class='hljl'>
<span class='hljl-oB'>-</span><span class='hljl-ni'>16</span><span class='hljl-n'>x</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-t'> </span><span class='hljl-oB'>+</span><span class='hljl-t'> </span><span class='hljl-ni'>32</span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-ni'>12</span>
</pre>
<pre class="output">
-60
</pre>
<h2>Where math and computer notations diverge</h2>
<p>It is important to recognize that <code>=</code> to <code>Julia</code> is not in analogy to how <span class="math">$=$</span> is used in mathematical notation. The following <code>Julia</code> code is not an equation:</p>
<pre class='hljl'>
<span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span>
</pre>
<pre class="output">
9
</pre>
<p>What happens instead? The right hand side is evaluated (<code>x</code> is squared), the result is stored and bound to the variable <code>x</code> (so that <code>x</code> will end up pointing to the new value <code>4</code> and not the old one <code>2</code>); finally the value computed on the right-hand side is returned and in this case displayed, as there is no trailing semicolon to suppress the output.</p>
<p>This is completely unlike the mathematical equation <span class="math">$x = x^2$</span> which is typically solved for values of <span class="math">$x$</span> that satisfy the equation (<span class="math">$0$</span> and <span class="math">$1$</span>).</p>
<h5>Example</h5>
<p>Having <code>=</code> as assignment is usefully exploited when modeling sequences. For example, an application of Newton's method might end up with this expression:</p>
<p class="math">\[
~
x_{i+1} = x_i - \frac{x_i^2 - 2}{2x_i}
~
\]</p>
<p>As a mathematical expression, for each <span class="math">$i$</span> this defines a new value for <span class="math">$x_{i+1}$</span> in terms of a known value <span class="math">$x_i$</span>. This can be used to recursively generate a sequence, provided some starting point is known, such as <span class="math">$x_0 = 2$</span>.</p>
<p>The above might be written instead with:</p>
<pre class='hljl'>
<span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-t'>
</span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>x</span><span class='hljl-oB'>^</span><span class='hljl-ni'>2</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>/</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-ni'>2</span><span class='hljl-n'>x</span><span class='hljl-p'>)</span>
</pre>
<pre class="output">
1.5
</pre>
<p>Repeating this last line will generate new values of <code>x</code> based on the previous one–-no need for subscripts. This is exactly what the mathematical notation indicates is to be done.</p>
<h2>Context</h2>
<p>The binding of a value to a variable name happens within some context. For our simple illustrations, we are assigning values, as though they were typed at the command line. This stores the binding in the <code>Main</code> module. <code>Julia</code> looks for variables in this module when it encounters an expression and the value is substituted. Other uses, such as when variables are defined within a function, involve different contexts which may not be visible within the <code>Main</code> module.</p>
<div class="alert alert-info" role="alert">
<div class="markdown"><p>The <code>varinfo</code> function will list the variables currently defined in the main workspace. There is no mechanism to delete a single variable.</p>
</div>
</div>
<div class="alert alert-success" role="alert">
<div class="markdown"><p><strong>Shooting oneselves in the foot.</strong> <code>Julia</code> allows us to locally redefine variables that are built in, such as the value for <code>pi</code> or the function object assigned to <code>sin</code>. For example, this is a perfectly valid command <code>sin=3</code>. However, it will overwrite the typical value of <code>sin</code> so that <code>sin(3)</code> will be an error. The binding to <code>sin</code> occurs in the <code>Main</code> module. This shadows that value of <code>sin</code> bound in the <code>Base</code> module. Even if redefined in <code>Main</code>, the value in base can be used by fully qualifying the name, as in <code>Base.sin(pi)</code>. This uses the convention <code>module_name.variable_name</code> to look up a binding in a module.</p>
</div>
</div>
<h2>Variable names</h2>
<p><code>Julia</code> has a very wide set of possible <a href="https://docs.julialang.org/en/stable/manual/variables/#Allowed-Variable-Names-1">names</a> for variables. Variables are case sensitive and their names can include many <a href="http://en.wikipedia.org/wiki/List_of_Unicode_characters">Unicode</a> characters. Names must begin with a letter or an appropriate Unicode value (but not a number). There are some reserved words, such as <code>try</code> or <code>else</code> which can not be assigned to. However, many built-in names can be locally overwritten. Conventionally, variable names are lower case. For compound names, it is not unusual to see them squished together, joined with underscores, or written in camelCase.</p>
<pre class='hljl'>
<span class='hljl-n'>value_1</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>1</span><span class='hljl-t'>
</span><span class='hljl-n'>a_long_winded_variable_name</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-t'>
</span><span class='hljl-n'>sinOfX</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>sind</span><span class='hljl-p'>(</span><span class='hljl-ni'>45</span><span class='hljl-p'>)</span><span class='hljl-t'>
</span><span class='hljl-n'>__private</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-t'> </span><span class='hljl-cs'># a convention</span>
</pre>
<pre class="output">
2
</pre>
<h3>Unicode names</h3>
<p>Julia allows variable names to use Unicode identifiers. Such names allow <code>julia</code> notation to mirror that of many mathematical texts. For example, in calculus the variable <span class="math">$\epsilon$</span> is often used to represent some small number. We can assign to a symbol that looks like <span class="math">$\epsilon$</span> using <code>Julia</code>'s LaTeX input mode. Typing <code>\epsilon[tab]</code> will replace the text with the symbol within <code>IJulia</code> or the command line.</p>
<pre class='hljl'>
<span class='hljl-n'>ϵ</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nfB'>1e-10</span>
</pre>
<pre class="output">
1.0e-10
</pre>
<p>Entering Unicode names follows the pattern of "slash" + LaTeX name + <code>[tab]</code> key. Some other ones that are useful are <code>\delta[tab]</code>, <code>\alpha[tab]</code>, and <code>\beta[tab]</code>, though there are <a href="https://github.com/JuliaLang/julia/blob/master/stdlib/REPL/src/latex_symbols.jl">hundreds</a> of other values defined.</p>
<p>For example, we could have defined <code>theta</code> (<code>\theta[tab]</code>) and <code>v0</code> (<code>v\_0[tab]</code>) using Unicode to make them match more closely the typeset math:</p>
<pre class='hljl'>
<span class='hljl-n'>θ</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>45</span><span class='hljl-p'>;</span><span class='hljl-t'> </span><span class='hljl-n'>v₀</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>200</span>
</pre>
<div class="alert alert-success" role="alert">
<div class="markdown"><p>There is even support for tab-completion of <a href="https://github.com/JuliaLang/julia/blob/master/stdlib/REPL/src/emoji_symbols.jl">emojis</a> such as <code>\:snowman:[tab]</code> or <code>\:koala:[tab]</code></p>
</div>
</div>
<h5>Example</h5>
<p>As mentioned, as of <code>Julia</code> <code>v"0.7.0"</code>, the value of <span class="math">$e$</span> is bound to the unicode value <code>\euler[tab]</code> and not the letter <code>e</code>, so Unicode entry is required to access this constant This isn't quite true. The <code>MathConstants</code> module defines <code>e</code>, as well as a few other values accessed via unicode. This is loaded with the accompanying <code>CalculusWithJulia</code> package</p>
<pre class='hljl'>
<span class='hljl-k'>using</span><span class='hljl-t'> </span><span class='hljl-n'>CalculusWithJulia</span><span class='hljl-t'> </span><span class='hljl-cs'># reexports Base.MathConstants</span><span class='hljl-t'>
</span><span class='hljl-n'>e</span>
</pre>
<pre class="output">
ℯ = 2.7182818284590...
</pre>
<p>Alternatively, one can define <code>e = exp(1)</code> and use the variable as desired.</p>
<h2>Tuple assignment</h2>
<p>It is a common task to define more than one variable. Multiple definitions can be done in one line, using semicolons to break up the commands, as with:</p>
<pre class='hljl'>
<span class='hljl-n'>a</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>1</span><span class='hljl-p'>;</span><span class='hljl-t'> </span><span class='hljl-n'>b</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-p'>;</span><span class='hljl-t'> </span><span class='hljl-n'>c</span><span class='hljl-oB'>=</span><span class='hljl-ni'>3</span>
</pre>
<p>For convenience, <code>Julia</code> allows an alternate means to define more than one variable at a time. The syntax is similar:</p>
<pre class='hljl'>
<span class='hljl-n'>a</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>b</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>c</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>1</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>3</span>
</pre>
<pre class="output">
(1, 2, 3)
</pre>
<p>This sets <code>a=1</code>, <code>b=2</code>, and <code>c=3</code>, as suggested. This construct relies on <em>tuple destructuring</em>. The expression on the right hand side forms a tuple of values. A tuple is a container for different types of values, and in this case the tuple has 3 values. When the same number of variables match on the left-hand side as those in the container on the right, the names are assigned one by one.</p>
<p>The value on the right hand side is evaluated, then the assignment occurs. The following exploits this to swap the values assigned to <code>a</code> and <code>b</code>:</p>
<pre class='hljl'>
<span class='hljl-n'>a</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>b</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>b</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>a</span>
</pre>
<pre class="output">
(2, 1)
</pre>
<h4>Example, finding the slope</h4>
<p>Find the slope of the line connecting the points <span class="math">$(1,2)$</span> and <span class="math">$(4,6)$</span>. We begin by defining the values and then applying the slope formula:</p>
<pre class='hljl'>
<span class='hljl-n'>x0</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>y0</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>1</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>2</span><span class='hljl-t'>
</span><span class='hljl-n'>x1</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>y1</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>4</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-ni'>6</span><span class='hljl-t'>
</span><span class='hljl-n'>m</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>y1</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-n'>y0</span><span class='hljl-p'>)</span><span class='hljl-t'> </span><span class='hljl-oB'>/</span><span class='hljl-t'> </span><span class='hljl-p'>(</span><span class='hljl-n'>x1</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-n'>x0</span><span class='hljl-p'>)</span>
</pre>
<pre class="output">
1.3333333333333333
</pre>
<p>Of course, this could be computed directly with <code>(6-2) / (4-1)</code>, but by using familiar names for the values we can be certain we apply the formula properly.</p>
<h2>Questions</h2>
<h6>Question</h6>
<p>Let <span class="math">$a=10$</span>, <span class="math">$b=2.3$</span>, and <span class="math">$c=8$</span>. Find the value of <span class="math">$(a-b)/(a-c)$</span>.</p>
<form name='WeaveQuestion' data-id='lFOpykjA' data-controltype='numeric'>
<div class='form-group '>
<div class='controls'>
<div class="input-group">
<input id="lFOpykjA" type="number" class="form-control">
</div>
<div id='lFOpykjA_message'></div>
</div>
</div>
</form>
<script text='text/javascript'>
$('#lFOpykjA').on('change', function() {
correct = Math.abs(this.value - 3.85) <= 0.001;
if(correct) {
$('#lFOpykjA_message').html('<div class="alert alert-success"><span class="glyphicon glyphicon-thumbs-up"> Correct</span></div>');
} else {
$('#lFOpykjA_message').html('<div class="alert alert-danger"><span class="glyphicon glyphicon-thumbs-down"> Incorrect</span></div>');
}
});
</script>
<h6>Question</h6>
<p>Let <code>x = 4</code>. Compute <span class="math">$y=100 - 2x - x^2$</span>. What is the value:</p>
<form name='WeaveQuestion' data-id='T8cBR6g6' data-controltype='numeric'>
<div class='form-group '>
<div class='controls'>
<div class="input-group">
<input id="T8cBR6g6" type="number" class="form-control">
</div>
<div id='T8cBR6g6_message'></div>
</div>
</div>
</form>
<script text='text/javascript'>
$('#T8cBR6g6').on('change', function() {
correct = Math.abs(this.value - -124) <= 0.1;
if(correct) {
$('#T8cBR6g6_message').html('<div class="alert alert-success"><span class="glyphicon glyphicon-thumbs-up"> Correct</span></div>');
} else {
$('#T8cBR6g6_message').html('<div class="alert alert-danger"><span class="glyphicon glyphicon-thumbs-down"> Incorrect</span></div>');
}
});
</script>
<h6>Question</h6>
<p>What is the answer to this computation?</p>
<pre class='hljl'>
<span class='hljl-n'>a</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nfB'>3.2</span><span class='hljl-p'>;</span><span class='hljl-t'> </span><span class='hljl-n'>b</span><span class='hljl-oB'>=</span><span class='hljl-nfB'>2.3</span><span class='hljl-t'>
</span><span class='hljl-n'>a</span><span class='hljl-oB'>^</span><span class='hljl-n'>b</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-n'>b</span><span class='hljl-oB'>^</span><span class='hljl-n'>a</span>
</pre>
<form name='WeaveQuestion' data-id='V0pLiAz6' data-controltype='numeric'>
<div class='form-group '>
<div class='controls'>
<div class="input-group">
<input id="V0pLiAz6" type="number" class="form-control">
</div>
<div id='V0pLiAz6_message'></div>
</div>
</div>
</form>
<script text='text/javascript'>
$('#V0pLiAz6').on('change', function() {
correct = Math.abs(this.value - 0.14354012963861962) <= 0.001;
if(correct) {
$('#V0pLiAz6_message').html('<div class="alert alert-success"><span class="glyphicon glyphicon-thumbs-up"> Correct</span></div>');
} else {
$('#V0pLiAz6_message').html('<div class="alert alert-danger"><span class="glyphicon glyphicon-thumbs-down"> Incorrect</span></div>');
}
});
</script>
<h6>Question</h6>
<p>For longer computations, it can be convenient to do them in parts, as this makes it easier to check for mistakes.</p>
<p>For example, to compute</p>
<p class="math">\[
~
\frac{p - q}{\sqrt{p(1-p)}}
~
\]</p>
<p>for <span class="math">$p=0.25$</span> and <span class="math">$q=0.2$</span> we might do:</p>
<pre class='hljl'>
<span class='hljl-n'>p</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-n'>q</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nfB'>0.25</span><span class='hljl-p'>,</span><span class='hljl-t'> </span><span class='hljl-nfB'>0.2</span><span class='hljl-t'>
</span><span class='hljl-n'>top</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>p</span><span class='hljl-t'> </span><span class='hljl-oB'>-</span><span class='hljl-t'> </span><span class='hljl-n'>q</span><span class='hljl-t'>
</span><span class='hljl-n'>bottom</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-nf'>sqrt</span><span class='hljl-p'>(</span><span class='hljl-n'>p</span><span class='hljl-oB'>*</span><span class='hljl-p'>(</span><span class='hljl-ni'>1</span><span class='hljl-oB'>-</span><span class='hljl-n'>p</span><span class='hljl-p'>))</span><span class='hljl-t'>
</span><span class='hljl-n'>ans</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>top</span><span class='hljl-oB'>/</span><span class='hljl-n'>bottom</span>
</pre>
<p>What is the result of the above?</p>
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<h6>Question</h6>
<p>Using variables to record the top and the bottom of the expression, compute the following for <span class="math">$x=3$</span>:</p>
<p class="math">\[
~
y = \frac{x^2 - 2x - 8}{x^2 - 9x - 20}.
~
\]</p>
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<div id='vrPID9zU_message'></div>
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});
</script>
<h6>Question</h6>
<p>Which if these is not a valid variable name (identifier) in <code>Julia</code>:</p>
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<input type="radio" name="radio_yDGQoQOj" value="2"><div class="markdown"><p><code>fahrenheit451</code></p>
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<input type="radio" name="radio_yDGQoQOj" value="3"><div class="markdown"><p><code>aMiXeDcAsEnAmE</code></p>
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</label>
</div>
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<div id="yDGQoQOj_message"></div>
</div>
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});
</script>
<h6>Question</h6>
<p>Which of these symbols is one of <code>Julia</code>'s built-in math constants?</p>
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<label>
<input type="radio" name="radio_afw4Nuw4" value="1"><div class="markdown"><p><code>E</code></p>
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<div class="radio">
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<input type="radio" name="radio_afw4Nuw4" value="4"><div class="markdown"><p><code>I</code></p>
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<div id="afw4Nuw4_message"></div>
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}
});
</script>
<h6>Question</h6>
<p>What key sequence will produce this assignment</p>
<pre class='hljl'>
<span class='hljl-n'>δ</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>1</span><span class='hljl-oB'>/</span><span class='hljl-ni'>10</span>
</pre>
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<div class="form-group ">
<div class="radio">
<label>
<input type="radio" name="radio_Zcgz0Kyd" value="1"><div class="markdown"><p><code>\delta[tab] = 1/10</code></p>
</div>
</label>
</div>
<div class="radio">
<label>
<input type="radio" name="radio_Zcgz0Kyd" value="2"><div class="markdown"><p><code>delta[tab] = 1/10</code></p>
</div>
</label>
</div>
<div class="radio">
<label>
<input type="radio" name="radio_Zcgz0Kyd" value="3"><div class="markdown"><p><code>$\\delta$ = 1/10</code></p>
</div>
</label>
</div>
<div id="Zcgz0Kyd_message"></div>
</div>
</form>
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});
</script>
<h6>Question</h6>
<p>Which of these three statements will <strong>not</strong> be a valid way to assign three variables at once:</p>
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<div class="form-group ">
<div class="radio">
<label>
<input type="radio" name="radio_LnOai2AB" value="1"><div class="markdown"><p><code>a=1, b=2, c=3</code></p>
</div>
</label>
</div>
<div class="radio">
<label>
<input type="radio" name="radio_LnOai2AB" value="2"><div class="markdown"><p><code>a=1; b=2; c=3</code></p>
</div>
</label>
</div>
<div class="radio">
<label>
<input type="radio" name="radio_LnOai2AB" value="3"><div class="markdown"><p><code>a,b,c = 1,2,3</code></p>
</div>
</label>
</div>
<div id="LnOai2AB_message"></div>
</div>
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});
</script>
<h6>Question</h6>
<p>The fact that assignment <em>always</em> returns the value of the right hand side <em>and</em> the fact that the <code>=</code> sign associates from right to left means that the following idiom:</p>
<pre class='hljl'>
<span class='hljl-n'>x</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>y</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-n'>z</span><span class='hljl-t'> </span><span class='hljl-oB'>=</span><span class='hljl-t'> </span><span class='hljl-ni'>3</span>
</pre>
<p>Will always:</p>
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<div class="form-group ">
<div class="radio">
<label>
<input type="radio" name="radio_cy3NQon7" value="1"><div class="markdown"><p>Create 3 linked values that will stay synced when any value changes</p>
</div>
</label>
</div>
<div class="radio">
<label>
<input type="radio" name="radio_cy3NQon7" value="2"><div class="markdown"><p>Throw an error</p>
</div>
</label>
</div>
<div class="radio">
<label>
<input type="radio" name="radio_cy3NQon7" value="3"><div class="markdown"><p>Assign all three variables at once to a value of 3</p>
</div>
</label>
</div>
<div id="cy3NQon7_message"></div>
</div>
</form>
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}
});
</script>
</div>
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