Questions in Theory of Computation Assignment Example | Topics and Well Written Essays - 750 words

Questions in Theory of Computation - Assignment Example The binary search uses the divide and conquer algorithm. Dynamic programming solves a complex problem by breaking it down into easier sub-problems hence it solves each sub-problem once only, reducing number of computations and can solve optimization problems that would not have been easily sorted out through greedy approach since the greedy algorithm works in phases and at each phase, it gets the best at that instance with no regard of others. Backtracking tries different solutions till it finds a solution that is more suitable. Such problems can only be solved by trying every possible configuration and each configuration is tried only once. This describes the restraining behavior of a function when an argument leans to a value or to infinity and is used to describe a function according to their growing rates and functions with identical growth are denoted with the same expression A language is in class P if there is a deterministic Turing machine such that the TM runs for polynomial time over all inputs and for all values of the language, the TM outputs 1 and for all values in the language, the TM outputs 0.A problem is in a complex class P when there is an algorithm that solves it in a time bounded by polynomial of the input size, hence there will be an algorithm that will tell in a polynomial time whether a given number is composite S is NP-hard if, for every S ∈ NP, S, hence implying that S is ‘as hard as’ all the problems in NP while a problem S is NP-complete if it is NP-hard and it is also in the class NP itself. In symbols, S is NP-complete if S is NP-hard and S ∈ NP. NP-complete problem forms a set of problems that could be intractable or tractable. This is a case where it is not possible to check the validity of either a yes –answer or a no-answer in a finite amount of time. For the case of an asserted no-answer, the argument that establishes that can be no finite

How Nonprofit Volunteerism Has Changed Over the Years Research Paper

How Nonprofit Volunteerism Has Changed Over the Years - Research Paper Example The researcher states that Martin Luther King, Jr. said, â€Å"Lifes most persistent and urgent question is: ‘What are you doing for others?’† A general definition of volunteerism or volunteer is a person who voluntarily undertakes or expresses a willingness to undertake a service or one who renders a service or takes part in a transaction while having no legal concern or interest. In a way, volunteerism can be looked upon as servant leadership.   According to author Robert K. Greenleaf, the servant-leader is the servant first.   Volunteerism begins with the natural feeling that one wants to serve and is also able to do so.   Then conscious brings one to aspire to lead.   The best test for becoming a servant leader is to ask if those served to grow as persons:   do they, while being served, become healthier, wiser, freer, more autonomous, and more likely themselves to become servants?   Also, it is essential to assess what is the effect on the least pr ivileged in society. It is important to ask if the volunteer act will benefit the disadvantages section, or, at least, not further deprived them. Volunteers are essential components of most nonprofit programs as they provide services to clientele who might not otherwise be served. As such, it can be stated that volunteerism is an important service that enables the non-profit organizations to manage their resources and deliver on their goals. As with any movement, volunteerism has undergone significant changes over the years. This study would trace the changes in the volunteering trends in the US and Canada and highlight the various aspects that are responsible for the changing trends.