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Nested Function stuck on iteration update

I want to solve the Sparse Extended Information Filter Slam described by Dr. Sebestian Thrun in Probabilistic Robotics.I stuck in some nested function. The algorithm is described in page 309 in this ...
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2answers
85 views

If it's Possible to Create the If-Statement from Simpler Primitives

This question is about how to create an if statement (one of the control-flow statements) from scratch. An if-statement is typically a built-in construct in ...
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Understanding How to Flatten a Nested Function System

There are at least two ways to flatten out a nested function. Both of them need to keep a certain amount of state to accomplish this. The two ways are: By creating several boolean variables for each ...
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1answer
49 views

Prove correctness of the iterative algorithm

Description: Given an array nums and a value val, remove all instances of that value in-place and return the new length. Do not allocate extra space for another array, you must do this by modifying ...
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0answers
45 views

Understanding the Polyhedral Model

I am wondering at a high level the mathematics of the Polyhedral Model. The polyhedral model (also called the polytope method) is a mathematical framework for programs that perform large numbers of ...
3
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1answer
44 views

Generating all words of length $n$ avoiding $A^2$ and $B^3$

I need to find a way to iterate over all sequences of words in two letters $A,B$ avoiding the sequence $A^2 = AA$ and $B^3 = BBB$. First of all, what is the regular expression for such a thing? I ...
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1answer
85 views

Calculating $\sum_{i=1}^a \lfloor a/i \rfloor i^2$

I have a sum: $$S = \sum_{i=1}^n{\lfloor a/i \rfloor i^2},$$ where $a$ is a constant. Is there a way to speed this up? That is, can we avoid iterating overl all $i$s, possibly calculating it in ...
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1answer
951 views

Find Number of even subarrays $O(n)$ [explanation needed]

So I found a solution to this problem here http://marcodiiga.github.io/number-of-even-sum-subarrays but I am unsure of exactly how it works. I get the premise that in order to have an even sum it must ...
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Can logistic map iteration be Turing complete?

Reading that simple cellular automata like rule 110 are Turing Complete, and comparing it to some "chaotic" iterations of the logistic map where numbers are in binary form. It seems the iterations ...
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25 views

How is this defined in an iterative style?

This is the so-called recursive style: And this is the so-called iterative style: It seems like it is defined recursively to me. The function doesn't hide the next call of the function defined in it ...
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1answer
81 views

How to convert this recursive algorithm to an iterative form?

Let us assume there's a folder structure as shown below: The letters a-d represent folders and the number 1-5 represent video files where for the file n, ...
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1answer
88 views

Finding the largest linear combination that is not possible

Regarding the problem: What is the largest bet that cannot be made with chips worth $\$7.00 $ and $\$9.00$? Verify that your answer is correct with both forms of induction. I need to find an ...
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125 views

Iteration vs. recursion: what do these terms really mean?

Most of us know the typical answer to this question: if a function calls itself, it's recursion, if it's a loop, it's iteration. We also know that recursion can be simulated using iteration (by ...
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2answers
49 views

Is linked list a preferable underlying basic DS for a collection mutable through an iterator

I need to implement a collection DS that exposes an iterator which can be used to iterate an underlying collection and possibly remove the current item. I can use either a vector (dynamic array) or a ...
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0answers
23 views

Basic Determine exact amount of iterations

How exactly do you track the exact amount of iterations? I know its probably basic but can't figure out how so was hoping someone could explain to a complete beginner how you arrive at an answer. <...
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5answers
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Iteration can replace Recursion?

I've been seeing all over stack Overflow, e.g here, here, here, here, here and some others I don't care to mention, that "any program that uses recursion can be converted to a program using only ...