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Just after exercise 3.3 we provide the sample input of "fit[X]", Evaluate the following code: NumberForm[fit[x], 6] in your notebook.
Next right click on the cell bracket to the right of the output, see image below:
Hover over "Copy as"
Choose plain text.
Finally, paste the result into the text input box below
in 3.1 you define model[X_,w_,A_,X0_,c_]
1. what is the functional form you use?
2. what is the role of each parameter?
Finally in 3.2 we define some generic ways of creating guesses for the parameters based on the data alone.
3. What are the general functional forms for the guesses for each parameter?
In 1.7 what is the form of PowerFraction?
Which of the correctly describes the truncatedPower expression?
In Exercise 4.2 you create a list of waists vs z values, waistsVsZ.
In an input cell enter after you have defined the "waistsVsZ", Type and evaluate NumberForm[waistsVsZ, 6]
Next right click on the cell bracket to the right of the output, see image below:
Hover over "Copy as"
Choose plain text.
Finally, paste the result into the text input box below
In 4.6 we redo the fits considering uncertainties in the various waists.
Compare the results for w0 and the uncertainty in this value for the original fit (neglecting uncertainties in waists) against this new fit which considers uncertainties.
Does the change in the value and uncertainty of w0 make sense when we consider the uncertainties in the waists?
In Exercise 1.3 we seek to create an If statement that will allow the light to pass for x<X and to be blocked for x>X.
Which of the following if statements correctly achieves this?
Choose all that apply
Explain referring to the result of the section Paraxial cloaking with 4 lenses, how the cloaking system works to hide the donut.
Discuss not only why we can see the background but also why we do not see the donut itself.
Which of the following is the correct result of the multiple lens system ray trace in exercise 3.2?
Exercise 2.7 what is the focal length of the lens used? You may do this based on the plot alone, though you compute this in 2.9. The units are the same arbitrary units we are using for distance along the optical axis).