Basically, I would like to prove that following result: Lemma nat_ind_2 (P: nat -> Prop): P 0 -> P 1 -> (forall n, P n -> P (2+n)) -> forall n, P n. that is the recurrence scheme...

I have an Azure Logic App which needs to run every month. I'm using a Recurrence Trigger to trigger my logic app. I want to run my Logic App only on the last day of every month. Eg. --> Jan 31st...

So I am pretty sure it is O(n) (but it might not be?), but how do you solve it with substitution? If you assume T(n) <= c * n, what is the induction steps?

How does one go about determining the height of a recursion tree, built when dealing with recurrence run-times? How does it differ from determining the height of a regular tree? alt text http://h...

I am studying using the MIT Courseware and the CLRS book Introduction to Algorithms. I am currently trying to solve the recurrence (from page 107) T(n) = 2T(n/2) + n4 If I make a recurrence tree,...

I know how to do recurrence relations for algorithms that only call itself once, but I'm not sure how to do something that calls itself multiple times in one occurrence. For example: T(n) = T(n/2...

I can find the sum of each row (n/log n-i) and also I can draw its recursive tree but I can't calculate sum of its rows. T(n)=2T(n/2)+n/logn T(1) = 1

I know how to solve the recurrence relations using Master Method. Also I'm aware of how to solve the recurrences below: T(n) = sqrt(n)*T(sqrt(n)) + n T(n) = 2*T(sqrt(n)) + lg(n) In the above two...

I have a recurrence table that stores the iCalendar RFC 5545 Recurrence Rule string. Ex: FREQ=MONTHLY;INTERVAL=2 Does anyone know of any postgres functions similar to do the following? get_even...

I am building a calendar website (ASP.NET MVC) application (think simple version of outlook) and i want to start supporting calendar events that are recurring (monthly, yearly, etc) right now I am...

I'm doing the exercises in Introduction to Algorithm by CLRS. This is not graded homework or anything, I'm just trying to understand the problem. The problem is as follows: We can express ins...

In my algorithm and data structures class we were given a few recurrence relations either to solve or that we can see the complexity of an algorithm. At first, I thought that the mere purpose of ...

I am trying to clusterize paterns in time series as I ask in How to clustering syllable types with python? I try using to solve my problem using the recurrence plots technique, so I make some cod...

I was trying to solve recurrence relation of fibonacci series using sympy. I got an answer which is different from that of the text book. Dont know where I got it wrong. My sympy code from sympy ...

I'm solving some recurrence relation problems for Big O and so far up till this point have only encountered recurrence relations that involved this form: T(n) = a*T(n/b) + f(n) For the above, it...

This problem is from the 2011 Codesprint (http://csfall11.interviewstreet.com/): One of the basics of Computer Science is knowing how numbers are represented in 2's complement. Imagine that you wr...

I'm building a group calendar application that needs to support recurring events, but all the solutions I've come up with to handle these events seem like a hack. I can limit how far ahead on...

Is there a built in function or standard library function roughly equivalent to def recur_until(start, step_fu, stop_predicate=lambda _: False): current = start while not stop_predicate(current)...

I am not familiar with recurrence-solving techniques outside of the master theorem, recursion trees, and the substitution method. I am guessing that solving the following recurrence for a big-O bou...

I want to understand how to arrive at the complexity of the below recurrence relation. T(n) = T(n-1) + T(n-2) + C Given T(1) = C and T(2) = 2C; Generally for equations like T(n) = 2T(n/2) + C (Gi...

I would like to solve the following recurrence relation: T(n) = 2T(√n); I'm guessing that T(n) = O(log log n), but I'm not sure how to prove this. How would I show that this recurrence s...

I am trying to find the time complexity for the recurrence: T(n) = 2T(n1/2) + log n I am pretty close to the solution, however, I have run into a roadblock. I need to solve: n(1/2k)...

Hi there I am trying to solve the following recurrence relation by telescoping but I am stuck on the last step. T(N) = T(N/2) + N T(1)=0 T(N/2) = T(N/4) + N/2 T(N/4) = T(N/8) + N/4 ... T(2) = T(1)...

Started learning algorithms. I understand how to find theta-notation from a 'regular recurrence' like T(n) = Tf(n) + g(n). But I am lost with this recurrence: problem 1-2e: T(n) = T(&radic...

I've been looking at this reccurrence and wanted to check if I was taking the right approach. T(n) = T(n^(1/2)) + 1 = T(n^(1/4)) + 1 + 1 = T(n^(1/8)) + 1 + 1 + 1 ... = 1 + 1 + 1 + ... + 1 (a total...