- Another common simulation technique…is referred to as the Monte Carlo simulation.…A Monte Carlo simulation is a way…of approximating the value of a function…where calculating the actual value…is difficult or impossible.…It uses random sampling to define constraints on the value,…and then makes a sort of "best guess".…Monte Carlo methods vary,…but tend to follow a particular pattern.…First, define a domain of possible inputs.…Then, generate inputs randomly…from a probability distribution over the domain.…
Third, perform a deterministic computation on the inputs.…And, finally, aggregate the results.…A simple Monte Carlo simulation can be used…to calculate the value of PI,…or to approximate the value of PI.…If you had a circle and a square,…where the length of a side of the square…was the same as the diameter of the circle,…the ratio of the area of the circle…to the area of the square would be PI over four.…So, if you put this circle inside the square…and select many random points inside the square,…the number of points that fall inside the circle…
Author
Released
6/29/2015- Getting started with parsing
- Reviewing data types
- Using decisions
- Creating user-defined methods
- Command-line debugging
- Exploring the Java API
- Creating and instantiating classes
- Working with interfaces
- Storing items with arrays
Skill Level Intermediate
Duration
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Q: How can I make my debugger function like the author’s?
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Introduction
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Welcome58s
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1. Command Level Programming
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Challenge: Hello world1m 8s
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Solution: Hello world2m 22s
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2. Basics Review
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Reviewing data types4m 32s
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Using decisions2m 37s
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Managing loops4m 36s
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Challenge: College cost app1m 12s
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Solution: College cost app4m 23s
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3. Debugging
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Setting breakpoints1m 42s
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Stepping through the code4m 37s
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Command line debugging3m 50s
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Solution: Debugging5m 25s
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4. Java API
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Exploring the Java API3m 2s
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Challenge: API51s
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Solution: API2m 16s
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5. Simulations and Algorithm Analysis
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Using simulations3m 24s
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Random number generator3m 5s
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Analyzing algorithms4m 49s
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Leveraging recursion1m 59s
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Challenge: Monte Carlo2m 1s
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Solution: Monte Carlo3m 2s
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6. Classes and Objects
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Diagramming with UML1m 42s
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Creating classes7m 4s
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Using encapsulation1m 28s
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Instantiating classes7m 16s
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Avoiding null references4m 27s
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Challenge: Kathie's Catering2m 53s
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Solution: Kathie's Catering4m 41s
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7. More on Classes
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Introducing inheritance6m 35s
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Working with interfaces4m 30s
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Using polymorphism2m 14s
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Solution: Pizza ordering app3m 51s
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8. Data Structures
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Storing items with arrays4m 15s
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Utilizing 2D arrays3m 3s
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Managing ArrayLists5m 33s
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Enhanced for Loop5m 9s
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Challenge: Name finder1m 8s
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Solution: Name finder3m 42s
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Conclusion
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Next steps34s
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Video: Random number generator