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- https://eng.libretexts.org/Courses/Oxnard_College/Matlab_and_Octave_Programming_for_STEM_Applications_(Smith)/03%3A_for_Loops_Ploting_Points_Sequences_and_Series/3.06%3A_Sequences/3.6.01%3A_Sequences_Additional_MaterialHe popularized the Hindu–Arabic numeral system in the Western world.Hindu–Arabic numeral system(opens in new window) [en.Wikipedia.org] It is much better for arithmetic and algebra than Roman numerals...He popularized the Hindu–Arabic numeral system in the Western world.Hindu–Arabic numeral system(opens in new window) [en.Wikipedia.org] It is much better for arithmetic and algebra than Roman numerals. (2 pts) Then update a and b to be the current last 2 terms, in order to be ready for the next iteration. a = b; % Update a for the next iteration. (Use a semicolon so that this line does not display.) b = c; % Update a for the next iteration. (Use a semicolon so that this line does not display.)
- https://eng.libretexts.org/Courses/Oxnard_College/Matlab_and_Octave_Programming_for_STEM_Applications_(Smith)/04%3A_Vectors/4.14%3A_ExercisesWrite a script that computes a vector with the first \(n\) elements of a Fibonacci sequence (assuming that the variable n is defined) and then computes a new vector that contains the ratios of consecu...Write a script that computes a vector with the first \(n\) elements of a Fibonacci sequence (assuming that the variable n is defined) and then computes a new vector that contains the ratios of consecutive Fibonacci numbers. Write a script named logmap.m that computes the first 50 elements of \(X\) with r = 3.9 and X1 = 0.5, where r is the parameter of the logistic map and X1 is the initial value.
- https://eng.libretexts.org/Courses/Oxnard_College/Matlab_and_Octave_Programming_for_STEM_Applications_(Smith)/04%3A_Vectors/4.08%3A_Plotting_VectorsIf you call plot with a vector as an argument, MATLAB plots the indices on the x-axis and the elements on the y-axis. To plot the Fibonacci numbers we computed in Listing 4.1, we’d use plot(F) Figure ...If you call plot with a vector as an argument, MATLAB plots the indices on the x-axis and the elements on the y-axis. To plot the Fibonacci numbers we computed in Listing 4.1, we’d use plot(F) Figure 4.1 shows the result. Figure 4.1: The first 10 elements of the Fibonacci sequence. This way of looking at a vector is often useful for debugging, especially if it is big enough that displaying the elements on the screen is unwieldy.
- https://eng.libretexts.org/Bookshelves/Computer_Science/Programming_Languages/Python_Programming_(OpenStax)/05%3A_Loops/5.01%3A_While_LoopThis page explains Python's while loop, detailing its functionality to repeatedly execute code while a condition is true. It offers examples like generating Fibonacci numbers and counting odd numbers,...This page explains Python's while loop, detailing its functionality to repeatedly execute code while a condition is true. It offers examples like generating Fibonacci numbers and counting odd numbers, alongside checkpoints and exercises to enhance comprehension. Users are encouraged to apply while loops in practical tasks, such as handling user inputs and calculating sums of odd integers within specified ranges.
- https://eng.libretexts.org/Bookshelves/Computer_Science/Programming_Languages/Python_Programming_(OpenStax)/12%3A_Recursion/12.04%3A_More_Math_RecursionThis page covers the implementation of recursive functions for calculating Fibonacci numbers and the greatest common divisor (GCD) using Euclid's method. It explains the Fibonacci sequence, including ...This page covers the implementation of recursive functions for calculating Fibonacci numbers and the greatest common divisor (GCD) using Euclid's method. It explains the Fibonacci sequence, including a recursive function and example output. The GCD section defines the method and illustrates its recursive calculation with an example. Additionally, the text provides practice questions and encourages writing more recursive functions.
- https://eng.libretexts.org/Bookshelves/Computer_Science/Programming_Languages/Python_Programming_(OpenStax)/16%3A_Answer_Key/16.04%3A_Chapter_5This page explores essential programming concepts related to loops, including while loops, for loops, nested loops, and control statements like break/continue. It details how these structures function...This page explores essential programming concepts related to loops, including while loops, for loops, nested loops, and control statements like break/continue. It details how these structures function, their termination conditions, and the impact of initialized variables. With examples like Fibonacci sequences and character counting, it illustrates scenarios affecting loop execution and output. The content underscores the importance of grasping loop mechanics in programming.
- https://eng.libretexts.org/Courses/Oxnard_College/Matlab_and_Octave_Programming_for_STEM_Applications_(Smith)/02%3A_MATLAB_Octave_Scripts/2.05%3A_The_Fibonacci_SequenceThe Fibonacci sequence, denoted \(F\), is a sequence of numbers where each number is the sum of the previous two. The following expression computes the \(n\)th Fibonacci number: \[F_n = \frac{1}{\sqrt...The Fibonacci sequence, denoted \(F\), is a sequence of numbers where each number is the sum of the previous two. The following expression computes the \(n\)th Fibonacci number: \[F_n = \frac{1}{\sqrt{5}} \left[ \left( \frac{1 + \sqrt{5}}{2} \right)^{n} - \left( \frac{1 - \sqrt{5}}{2} \right)^{n} \right] \notag\] In this example, the message says the error is in fibonacci, but the actual problem is that we have not assigned a value to n.
- https://eng.libretexts.org/Bookshelves/Computer_Science/Programming_Languages/Python_Programming_(OpenStax)/12%3A_Recursion/12.06%3A_Chapter_SummaryThis page discusses recursion and its ability to simplify complex problems by dividing them into smaller cases. It covers identifying recursive and base cases, computing factorials, and solving proble...This page discusses recursion and its ability to simplify complex problems by dividing them into smaller cases. It covers identifying recursive and base cases, computing factorials, and solving problems with strings and lists. Additionally, it addresses Fibonacci number generation, efficient list searching, and the Three Towers problem, as well as introducing the built-in count() function for counting list elements, thereby equipping readers with practical recursion skills.
