Added all day 1 cheatsheets.

5 files changed, 392 insertions, 126 deletions

diff --git a/day1/cheatsheet1.tex b/day1/cheatsheet1.tex
index 4a71028..26edf77 100644..100755
--- a/day1/cheatsheet1.tex
+++ b/day1/cheatsheet1.tex
@@ -1,6 +1,22 @@
 \documentclass[12pt]{article}
+
+
 \title{Interactive Plotting}
 \author{FOSSEE}
+\usepackage{listings}
+\lstset{language=Python,
+    basicstyle=\ttfamily,
+commentstyle=\itshape\bfseries
+}
+\newcommand{\typ}[1]{\lstinline{#1}}
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
 \begin{document}
 \date{}
 \vspace{-1in}
@@ -10,35 +26,56 @@
 \end{center}
 \section{Starting up...}
 
-\begin{verbatim}
+\begin{lstlisting}
   $ ipython -pylab  
-\end{verbatim}
+\end{lstlisting}
 Exiting 
-\begin{verbatim}     
+\begin{lstlisting}     
 In [2]: (Ctrl-D)^D
 Do you really want to exit ([y]/n)? y
-\end{verbatim}
-Breaking out of loops
-\begin{verbatim}     
-In [1]: while True:
-   ...:     print "Hello, World!"
-   ...:     
-Hello, World!
-Hello, World!(Ctrl-C)^C
-\end{verbatim}
+\end{lstlisting}
 
 \section{Plotting}
-\begin{verbatim}
+
+  \begin{lstlisting}
 In [1]: x = linspace(0, 2*pi, 50)
-In [2]: plot(x,sin(x))
+In [2]: plot(x, sin(x))
 In [3]: xlabel('x')
 In [4]: ylabel('sin(x)')
-In [5]: legend(['x', '-x', 'sin(x)', 'xsin(x)'])
-In [6]: annotate('origin', xy=(0, 0), xytext=(0, -7),
-                 arrowprops=dict(shrink=0.05))
-In [7]: xlim(5*pi, 5*pi)
-In [8]: ylim(5*pi, 5*pi)
-In [9]: clf() #Clears the Plot area
-\end{verbatim}
+In [5]: title('Sinusoids')
+In [6]: legend(['sin(y)'])
+In [7]: legend(['sin(2y)'], loc = 'center')
+# loc = 'upper right', 'upper left', 'lower left, 'lower right', 'center left',
+#      'center right', 'lower center', 'upper center', 'best', 'right', 'center'
+
+In [8]: legend(['sin(2y)'], loc = (.8, .1))
+
+In [9]: savefig('sin.png')   # Save figure
+In [10]: close()             # Closes the figure
+
+In [11]: clf()               # Clears the Plot area
+
+In [12]: plot(y, sin(y), 'g')
+# Colors can be: 'b', 'g', 'r', 'c', 'm', 'y', 'k', 'w'
+
+In [13]: plot(y, cos(y), 'r', linewidth=2)
+
+In [14]: legend(['x', '-x'])
+In [15]: annotate('origin', xy=(0, 0))
+
+In [16]: xmin, xman = xlim()           # Without arguments gets
+In [17]: ymin, ymax = ylim()           # values
+
+In [18]: xlim(0, 2 * pi)               # With values, sets the
+In [19]: ylim(ymin - 0.2, ymax + 0.2)  # specified values
+  \end{lstlisting}
+
+\section{Saving and running scripts}
+\begin{itemize}
+  \item \typ{\%hist}
+  \item \typ{\%save four\_plot.py 16 18-27}
+  \item \typ{\%run -i four\_plot.py}
+\end{itemize}
+
 \end{document}
 
diff --git a/day1/cheatsheet2.tex b/day1/cheatsheet2.tex
index 65ef411..1420fbe 100644..100755
--- a/day1/cheatsheet2.tex
+++ b/day1/cheatsheet2.tex
@@ -1,37 +1,100 @@
 \documentclass[12pt]{article}
-%\title{Plotting Data}
-%\author{FOSSEE}
+
+
+\title{Plotting Points}
+\author{FOSSEE}
+\usepackage{listings}
+\lstset{language=Python,
+    basicstyle=\ttfamily,
+  commentstyle=\itshape\bfseries,
+  showstringspaces=false,
+}
+\newcommand{\typ}[1]{\lstinline{#1}}
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
 \begin{document}
 \date{}
 \vspace{-1in}
 \begin{center}
-\LARGE{Plotting Data}\\
+\LARGE{Plotting Points}\\
 \large{FOSSEE}
 \end{center}
-\section{Scripts}
-IPython History
-\begin{verbatim}
-In [1]: %hist
-In [2]: %hist -n
-\end{verbatim}
-
-Running a Script
-\begin{verbatim}
-In [3]:  %run script_name.py
-\end{verbatim}
-
-\section{Plotting from Data files}
-\begin{verbatim}
-In [1]: L = [] #Empty List
-In [2]: T = []
-In [3]: for line in open('pendulum.txt'): # Opening & Reading files
-  ....:     points = line.split() # Splitting a string
-  ....:     L.append(float(points[0])) # Appending to a list
-  ....:     T.append(float(points[1]))
-In [4]: TSq = []
-In [5]: for t in T:  #Iterating through lists
+\section{Plotting Points with Lists}
+
+\begin{lstlisting}
+In [1]: x = [0, 1, 2, 3]
+In [2]: y = [7, 11, 15, 19]
+In [3]: plot(x, y)
+In [4]: clf()
+In [5]: plot(x, y, 'o')  # Plotting Circles
+#Dots - '.', #Dashed lines - '--' #Lines - '-'
+\end{lstlisting}
+
+\section{Lists}
+
+Initializing
+  \begin{lstlisting}
+In [10]: mtlist = []      # Empty List
+In [11]: lst = [ 1, 2, 3, 4, 5] 
+  \end{lstlisting}
+Slicing
+\begin{lstlisting}
+In [12]: lst[1:3]         # A slice.
+Out[12]: [2, 3]
+
+In [13]: lst[1:-1]
+Out[13]: [2, 3, 4]
+\end{lstlisting}
+Appending to lists
+\begin{lstlisting}
+In [14]: a = [ 6, 7, 8, 9]
+In [15]: b = lst + a
+In [16]: b
+Out[16]: [1, 2, 3, 4, 5, 6, 7, 8, 9]
+
+In [17]: lst.append(6)
+In [18]: lst
+Out[18]: [ 1, 2, 3, 4, 5, 6]
+\end{lstlisting}
+
+Iterating over a List
+\begin{lstlisting}
+In [19]: for each in b:  # Iterating over the list, element-wise
+ ....:     print b       # Print each element
+ ....:
+\end{lstlisting}
+
+Splitting Strings
+\begin{lstlisting}
+In [20]: line = '1.2000e-01 7.4252e-01'
+In [21]: point = line.split()    # Splits the string at the space
+Out[21]: ['1.2000e-01', '7.4252e-01']
+\end{lstlisting}
+
+Plotting from Files
+\begin{lstlisting}
+In [22]: L = []
+In [23]: T = []
+
+#Open a file & operate on each line
+In [24]: for line in open('pendulum.txt'):  
+  ....     point = line.split()
+  ....     L.append(float(point[0]))
+  ....     T.append(float(point[1]))
+In [25]: TSq = []
+In [26]: for t in T:
  ....:     TSq.append(t*t)
-In [6]: plot(L, TSq, '.') # Plotting points
-\end{verbatim}
+ ....:     
+ ....:     
+In [27]: plot(L, TSq, '.')
+\end{lstlisting}
+
+
 \end{document}
 
diff --git a/day1/cheatsheet3.tex b/day1/cheatsheet3.tex
index df00c67..db50de3 100644..100755
--- a/day1/cheatsheet3.tex
+++ b/day1/cheatsheet3.tex
@@ -1,6 +1,22 @@
 \documentclass[12pt]{article}
 \title{Interactive Plotting}
 \author{FOSSEE}
+
+\usepackage{listings}
+\lstset{language=Python,
+    basicstyle=\ttfamily,
+  commentstyle=\itshape\bfseries,
+  showstringspaces=false,
+}
+\newcommand{\typ}[1]{\lstinline{#1}}
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
 \begin{document}
 \date{}
 \vspace{-1in}
@@ -10,54 +26,59 @@
 \end{center}
 \section{Statistics}
 Dictionary
-\begin{verbatim}
-In [1]: d = {"Hitchhiker's guide" : 42, 
-  ....:      "Terminator" : "I'll be back"} #Creation
-In [2]: d["Hitchhiker's guide"] # Accessing a value with key
-In [3]: "Hitchhiker's guide" in d #Checking for a key
-In [4]: d.keys() # Obtaining List of Keys
-In [5]: d.values() # Obtaining List of Values
-\end{verbatim}
+\begin{lstlisting}
+In []: d = {"Hitchhiker's guide" : 42, 
+ ....:      "Terminator" : "I'll be back"} #Creation
+In []: d["Hitchhiker's guide"] # Accessing a value with key
+In []: "Hitchhiker's guide" in d #Checking for a key
+In []: d.keys() # Obtaining List of Keys
+In []: d.values() # Obtaining List of Values
+\end{lstlisting}
 Iterating through List indices
-\begin{verbatim}
-In [1]: names = ["Guido","Alex", "Tim"]
-In [2]: for i, name in enumerate(names):
-   ...:     print i, name
-\end{verbatim}
+\begin{lstlisting}
+In []: names = ["Guido","Alex", "Tim"]
+In []: for i, name in enumerate(names):
+  ...:     print i, name
+\end{lstlisting}
+Computing Mean value of `\texttt{g}'
+\begin{lstlisting}
+In []: G = []
+In []: for line in open('pendulum.txt'):
+  ....     points = line.split()
+  ....     l = float(points[0])
+  ....     t = float(points[1])
+  ....     g = 4 * pi * pi * l / t * t
+  ....     G.append(g)
+\end{lstlisting}
+sum() and len() functions
+\begin{lstlisting}
+  total = 0
+  for g in G:
+    total += g
+  mean_g = total / len(g)
 
-\begin{verbatim}
-In [1]: score = int(score_str) if score_str != 'AA' else 0
-\end{verbatim}
+  mean_g = sum(G) / len(G)
+  mean_g = mean(G)
+\end{lstlisting}
+\newpage
+Ternary Operator
+\begin{lstlisting}
+In []: score = int(score_str) if score_str != 'AA' else 0
+\end{lstlisting}
 Drawing Pie Charts
-\begin{verbatim}
-In [1]: pie(science.values(), labels=science.keys())
-\end{verbatim}
-sum() and len() functions
-\begin{verbatim}
-In [1]: mean = sum(math_scores) / len(math_scores)
-\end{verbatim}
+\begin{lstlisting}
+In []: pie(science.values(), labels=science.keys())
+\end{lstlisting}
 Numpy Arrays
-\begin{verbatim}
-In [1]: a = array([1, 2, 3]) #Creating
-In [2]: b = array([4, 5, 6])
-In [3]: a + b #Sum; Element-wise
-\end{verbatim}
+\begin{lstlisting}
+In []: a = array([1, 2, 3]) #Creating
+In []: b = array([4, 5, 6])
+In []: a + b #Sum; Element-wise
+\end{lstlisting}
 Numpy statistical operations 
-\begin{verbatim}
-In [1]: mean(math_scores)
-In [2]: median(math_scores)
-In [3]: stats.mode(math_scores)
-In [4]: std(math_scores)
-\end{verbatim}
-Generating Van der Monde matrix
-\begin{verbatim}
-In [1]: A = vander(L, 2)
-\end{verbatim}
-Getting a Least Squares Fit curve
-\begin{verbatim}
-In [1]: coef, res, r, s = lstsq(A,TSq)
-In [2]: Tline = coef[0]*L + coef[1]
-In [3]: plot(L, Tline)
-\end{verbatim}
+\begin{lstlisting}
+In []: mean(math_scores)
+In []: median(math_scores)
+In []: std(math_scores)
+\end{lstlisting}
 \end{document}
-
diff --git a/day1/cheatsheet4.tex b/day1/cheatsheet4.tex
index 54ae95d..a7a6a6e 100644..100755
--- a/day1/cheatsheet4.tex
+++ b/day1/cheatsheet4.tex
@@ -1,47 +1,148 @@
 \documentclass[12pt]{article}
-\title{Matrices and Solution of Equations}
+\title{Matrices and Least Square Fit}
 \author{FOSSEE}
+\usepackage{listings}
+\lstset{language=Python,
+    basicstyle=\ttfamily,
+  commentstyle=\itshape\bfseries,
+  showstringspaces=false,
+}
+\newcommand{\typ}[1]{\lstinline{#1}}
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+\usepackage{times}
+\usepackage[T1]{fontenc}
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
 \begin{document}
 \date{}
 \vspace{-1in}
 \begin{center}
-\LARGE{Matrices and Solution of Equations}\\
+\LARGE{Matrices and Least Square Fit}\\
 \large{FOSSEE}
 \end{center}
 \section{Matrices}
 Inputting a Matrix
-\begin{verbatim}
-In [1]: A = matrix([[1, 2, 3],[4, 5, 6]])
-\end{verbatim}
+\begin{lstlisting}
+In []: C = array([[1,1,2],
+                  [2,4,1],
+                  [-1,3,7]])
+In []: B = ones_like(C)
+In []: A = ones((3,2))
+In []: I = identity(3)
+\end{lstlisting}
+Accessing Elements
+\begin{lstlisting}
+In []: C[1,2]
+Out[]: 1
+
+In []: C[1]
+Out[]: array([2, 4, 1])
+\end{lstlisting}
+
+Changing elements
+\begin{lstlisting}
+In []: C[1,1] = -2
+In []: C
+Out[]: 
+array([[ 1,  1,  2],
+       [ 2, -2,  1],
+       [-1,  3,  7]])
+
+In []: C[1] = [0,0,0]
+In []: C
+Out[]: 
+array([[ 1,  1,  2],
+       [ 0,  0,  0],
+       [-1,  3,  7]])
+\end{lstlisting}
+
+Slicing
+\begin{lstlisting}
+In []: C[:,1]
+Out[]: array([1, 0, 3])
+
+In []: C[1,:]
+Out[]: array([0, 0, 0])
+
+In []: C[0:2,:]
+Out[]: 
+array([[1, 1, 2],
+       [0, 0, 0]])
+
+In []: C[1:3,:]
+Out[]: 
+array([[ 0,  0,  0],
+       [-1,  3,  7]])
+
+In []: C[:2,:]
+Out[]: 
+array([[1, 1, 2],
+       [0, 0, 0]])
+
+In []: C[1:,:]
+Out[]: 
+array([[ 0,  0,  0],
+       [-1,  3,  7]])
+
+In []: C[1:,:2]
+Out[]: 
+array([[ 0,  0],
+       [-1,  3]])
+\end{lstlisting}
+
+Striding
+\begin{lstlisting}
+In []: C[::2,:]
+Out[]: 
+array([[ 1,  1,  2],
+       [-1,  3,  7]])
+
+In []: C[:,::2]
+Out[]: 
+xarray([[ 1,  2],
+       [ 0,  0],
+       [-1,  7]])
+
+In []: C[::2,::2]
+Out[]: 
+array([[ 1,  2],
+       [-1,  7]])
+\end{lstlisting}
+
 Matrix Operations
-\begin{verbatim}
-In [1]: A.T # Transpose
-In [2]: sum(A) # Sum of all elements
-In [3]: A+B # Addition
-In [1]: A*B # Product
-In [1]: inv(A) # Inverse
-In [1]: det(A) # Determinant
-\end{verbatim}
+\begin{lstlisting}
+In []: A.T # Transpose
+In []: sum(A) # Sum of all elements
+In []: A+B # Addition
+In []: A*B # Product
+In []: inv(A) # Inverse
+In []: det(A) # Determinant
+\end{lstlisting}
 
 Eigen Values and Eigen Vectors
-\begin{verbatim}
-In [1]: eig(A) #Eigen Values and Vectors
-In [2]: eigvals(A) #Eigen Values 
-\end{verbatim}
-Norm
-\begin{verbatim}
-In [1]: norm(A)
-\end{verbatim}
-Single Value Decomposition
-\begin{verbatim}
-In [1]: svd(A)
-\end{verbatim}
-Solving a set of equations
-\begin{verbatim}
-In [1]: A = matrix([...]) # Input Equation Coefficient Matrix   
-In [2]: b = matrix([...]) # Equation Target Values
-In [3]: x = solve(A, b)
-In [4]: Ax = A*x
-\end{verbatim}
-\end{document}
+\begin{lstlisting}
+In []: eig(A) #Eigen Values and Vectors
+In []: eigvals(A) #Eigen Values 
+\end{lstlisting}
+%% Norm
+%% \begin{lstlisting}
+%% In []: norm(A)
+%% \end{lstlisting}
+%% Single Value Decomposition
+%% \begin{lstlisting}
+%% In []: svd(A)
+%% \end{lstlisting}
+Least Square Fit Line
+\begin{lstlisting}
+In []: A = array([L, ones_like(L)])
+In []: A = A.T
+In []: result = lstsq(A,TSq)
+In []: coef = result[0]
+In []: Tline = coef[0]*L + coef[1]
+In []: plot(L, Tline)
+\end{lstlisting}
 
+\end{document}
diff --git a/day1/cheatsheet6.tex b/day1/cheatsheet6.tex
new file mode 100755
index 0000000..2e9de97
--- /dev/null
+++ b/day1/cheatsheet6.tex
@@ -0,0 +1,44 @@
+\documentclass[12pt]{article}
+\title{Solving Equations \& ODEs}
+\author{FOSSEE}
+\begin{document}
+\date{}
+\vspace{-1in}
+\begin{center}
+\LARGE{Solving Equations \& ODEs}\\
+\large{FOSSEE}
+\end{center}
+\section{Solving linear equations}
+\begin{verbatim}
+    In []: A = array([[3,2,-1],
+                      [2,-2,4],                   
+                      [-1, 0.5, -1]])
+    In []: b = array([[1], [-2], [0]])
+    In []: x = solve(A, b)
+    In []: Ax = dot(A,x)
+    In []: allclose(Ax, b)
+    Out[]: True
+\end{verbatim}
+\section{Finding roots}
+\begin{verbatim}
+  In []: coeffs = [1, 6, 13]
+  In []: roots(coeffs)
+\end{verbatim}
+Finding the roots of a function
+\begin{verbatim}
+In []: fsolve(sin(x)+cos(x)**2, 0)
+\end{verbatim}
+\section{ODE}
+\begin{verbatim}
+  In []: def epid(y, t):
+  ....     k, L = 0.00003, 25000
+  ....     return k*y*(L-y)
+  ....
+  
+  In []: t = arange(0, 12, 0.2)
+
+  In []: y = odeint(epid, 250, t)
+
+  In []: plot(t, y)
+\end{verbatim}
+\end{document}