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+---
+layout: page
+title: Examples
+permalink: /examples/
+menu: true
+---
+
+### Using Octave 
+
+First, follow the [installation guide]({{ site.baseurl/install/ }}) to install Octave on your system. Then, launch the interactive prompt by typing `octave` in a terminal or by clicking the icon in the programs menu. For further guidance, see the manual page on [Running Octave]({{site.docs_url}}Running-Octave.html).
+
+### Language Basics
+
+Click the headings below to see a manual page related to each topic
+{: .panel}
+
+###### [Variable Assignment]({{site.docs_url}}Variables.html)
+
+Assign values to variables with `=` (Note: assignment is <a href="#" data-reveal-id="assignmentModal">pass-by-value</a>)
+
+###### [Comments]({{site.docs_url}}Comments.html)
+
+`%` starts a comment block that continues to the end of the line.
+
+###### [Evaluation]({{site.docs_url}}Simple-Examples.html)
+
+The output of every command is printed to the console unless terminated with `;`. The `disp()` command can be used to print output anywhere. Use `exit` to quit the console.
+
+{% highlight matlab %}
+t = 99 + 1  % prints 't = 100'
+t = 99 + 1; % nothing is printed
+disp(t);
+  100
+{% endhighlight %}
+
+###### [Math]({{site.docs_url}}Arithmetic.html)
+
+Many mathematical operators are available in addition to the standard arithmetic. Operations are floating-point.
+{% highlight matlab %}
+x = 3/4*pi;
+y = sin(x)
+  0.70711
+{% endhighlight %}
+
+###### [Matrices]({{site.docs_url}}Matrices.html)
+
+Arrays in Octave are called matrices. One-dimensional matrices are referred to as vectors. Use `space` or `,` to separate elements and `;` to start a new row.
+
+{% highlight matlab %}
+rowVec = [8 6 4]
+  8   6   4   
+columnVec = [8; 6; 4]
+  8
+  6
+  4
+mat = [8 6 4; 2 0 -2]
+  8   6   4
+  2   0  -2
+size(mat)
+  2   3
+length(rowVec)
+  3
+{% endhighlight %}
+
+###### [Linear Algebra]({{site.docs_url}}Linear-Algebra.html)
+
+Many common linear algebra operations are simple to program using Octave's matrix syntax.
+
+{% highlight matlab %}
+columnVec * rowVec
+  64   48   32
+  48   36   24
+  32   24   16
+rowVec * columnVec
+  116
+columnVec'
+  8   6   4
+{% endhighlight %}
+
+###### [Accessing Elements]({{site.docs_url}}Index-Expressions.html)
+
+Octave is 1-indexed. Matrix elements are accessed as `matrix(rowNum, columnNum)`.
+
+{% highlight matlab %}
+mat(2,3)
+  -2
+{% endhighlight %}
+
+###### [Iteration]({{site.docs_url}}Statements.html)
+
+Octave supports `for` and `while` loops, as well as other control flow structures.
+
+{% highlight matlab %}
+x = zeros(50,1);
+for i=1:2:100 % iterate from 1 to 100 with step size 2
+  x(i) = i^2;
+end
+
+y = zeros(50,1);
+k = 1;
+step = 2;
+while k<=(100-step)
+  y(i) = k^2;
+  k = k + step;
+end
+{% endhighlight %}
+
+###### [Vectorization]({{site.docs_url}}Vectorization-and-Faster-Code-Execution.html)
+
+For-loops can often be replaced or simplified using vector syntax. The operators `*`,`/`,`^`,`%` all support element-wise operations using `.`. Many other functions operate element-wise by default (`sin`,`+`,`-`, etc.).
+
+{% highlight matlab %}
+i = 1:2:100;   % create a 50-element array
+x = i.^2;      % each element is squared
+y = x + 9;     % add 9 to each element
+z = y./i;      % divide each element in y by the corresponding value in i
+w = sin(i/10); % take the sine of each element ÷ 10
+{% endhighlight %}
+
+###### [Plotting]({{site.docs_url}}Two_002dDimensional-Plots.html)
+
+`plot` can be called with vector arguments to create 2D line and scatter plots.
+
+{% highlight matlab %}
+plot(w,i/10);
+title('w = sin(i/10)';
+xlabel('i ÷ 10');
+ylabel('w');
+{% endhighlight %}
+
+<img src="{{site.baseurl}}/img/sinePlot.png" alt="sine plot" style="height: 20rem; width: auto;" />
+
+
+###### [Strings]({{site.docs_url}}Strings.html)
+
+Strings are simply arrays of characters. Strings can be composed using `printf`-style formatting with `sprintf` and `fprintf`.
+{% highlight matlab %}
+firstString = 'hello world';
+secondString = '!';
+[firstString,secondString]
+  hello world!
+fprintf('%s %.10f \n', 'The number is:', 10)
+  The number is: 10.0000000000
+{% endhighlight %}
+
+###### [If-else]({{site.docs_url}}The-if-Statement.html)
+
+Conditional statements can be used to create branching logic in your code.
+
+{% highlight matlab %}
+% Print 'Foo' if divisible by 7,
+%       'Fizz' if divisible by 3,
+%       'Buzz' if divisible by 5,
+%       'FizzBuzz' if divisible by 3 and 5
+for (i = 1:1:100)
+  outputString = '';
+  if (rem(i,3) == 0) % rem is the remainder function
+    outputString = [outputString, 'Fizz'];
+  end
+  if (rem(i,5) == 0)
+    outputString = [outputString, 'Buzz'];
+  elseif (rem(i,7) == 0)
+    outputString = 'Foo';
+  else 
+    outputString = outputString;
+  end
+  fprintf('i=%g: %s \n',i,outputString);
+end
+{% endhighlight %}
+
+{% highlight text %}
+  ...
+  i=12: Fizz
+  i=13:
+  i=14: Foo
+  i=15: FizzBuzz
+  ...
+{% endhighlight %}
+
+###### [Help]({{site.docs_url}}Simple-Examples.html#Help-and-Documentation)
+
+The `help` and `doc` commands can be invoked at the Octave prompt to print documentation for any function.
+
+{% highlight matlab %}
+help plot
+doc plot
+{% endhighlight %}
+
+###### [Packages]({{site.docs_url}}Packages.html)
+
+Community-developed packages can be added from the [Octave Forge](http://octave.sourceforge.net/index.html) to extend the functionality of Octave's core library. The `pkg` command is used to manage these packages. For example, to use the image processing library from the Forge, use:
+
+{% highlight matlab %}
+pkg install -forge image % install package
+pkg load image           % load new functions into workspace
+{% endhighlight %} 
+
+<div id="assignmentModal" class="reveal-modal tiny" data-reveal aria-hidden="true" role="dialog">
+{% highlight matlab %}
+a = 1
+b = a
+b = 2
+a == b % returns 0 (false)
+{% endhighlight %}
+<a class="close-reveal-modal" aria-label="Close">&#215;</a>
+</div>

Binary file img/sinePlot.png has changed