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diff --git a/lecture_notes/advanced_python/exercises.rst b/lecture_notes/advanced_python/exercises.rst deleted file mode 100644 index eeaa323..0000000 --- a/lecture_notes/advanced_python/exercises.rst +++ /dev/null @@ -1,56 +0,0 @@ -Exercises -========= - -#. Consider the iteration :math:`$x_{n+1} = f(x_n)$` where - :math:`$f(x) = kx(1-x)$`. Plot the successive iterates of this - process. - -#. Plot this using a cobweb plot as follows: - - #. Start at :math:`$(x_0, 0)$` - #. Draw line to :math:`$(x_i, f(x_i))$`; - #. Set :math:`$x_{i+1} = f(x_i)$` - #. Draw line to :math:`$(x_i, x_i)$` - #. Repeat from 2 for as long as you want - -#. Plot the Koch snowflake. Write a function to generate the necessary - points given the two points constituting a line. - - #. Split the line into 4 segments. - #. The first and last segments are trivial. - #. To rotate the point you can use complex numbers, recall that - :math:`$z e^{j \theta}$` rotates a point :math:`$z$` in 2D by - :math:`$\theta$`. - #. Do this for all line segments till everything is done. - -#. Show rate of convergence for a first and second order finite - difference of sin(x) - -#. Given, the position of a projectile in in ``pos.txt``, plot it's - trajectory. - - - Label both the axes. - - What kind of motion is this? - - Title the graph accordingly. - - Annotate the position where vertical velocity is zero. - -#. Write a Program that plots a regular n-gon(Let n = 5). - -#. Create a sequence of images in which the damped oscillator - (:math:`$e^{-x/10}sin(x)$`) slowly evolves over time. - -#. Given a list of numbers, find all the indices at which 1 is present. - numbers = [1, 1, 3, 4, 3, 6, 7, 8, 1, 2, 4, 1] - -#. Given a list of numbers, find all the indices at which 1 is present. - numbers = [1, 1, 3, 4, 3, 6, 7, 8, 1, 2, 4, 1]. Solve the problem using a - functional approach. - -.. - Local Variables: - mode: rst - indent-tabs-mode: nil - sentence-end-double-space: nil - fill-column: 77 - End: - |