too small for too large for "interval of uncertainty the technique we are going to use is called "bisectionif you know this technique you can relax for the next few slides please don' snore we are going to go through it by hand for few iterations because when we come to implement it in python it is important that any confusion is due to the pythonand not the maths the python is implementing the trick is to identify range of values that must contain the actual value of that iswe identify lower bound that is less than and an upper bound that is greater than we then have some way (which we will explain in the following slidesto improve that estimate by reducing the length of that interval of uncertainty to be precisewe will cut the uncertainty in half which is why the process is called "bisectionwe start by taking lower bound of = which is definitely lower than = because = = < and an upper bound of = which is definitely higher than = because = = >