Maxima and minima

In mathematical analysis, the maxima and minima (the plural of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema).Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.

As defined in set theory, the maximum and minimum of a set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum.

Definition

A real-valued function f defined on a domain X has a global (or absolute) maximum point at x^∗ if f(x^∗) ≥ f(x) for all x in X. Similarly, the function has a global (or absolute) minimum point at x^∗ if f(x^∗) ≤ f(x) for all x in X. The value of the function at a maximum point is called the maximum value of the function and the value of the function at a minimum point is called the minimum value of the function.

Maximum (film)

Maximum is a 2012 Hindi crime/thriller film written and directed by Kabeer Kaushik. The project features Naseeruddin Shah, Sonu Sood, Neha Dhupia, and Vinay Pathak in pivotal roles. Maximum was released on 29 June 2012. After the film's release, the film got mixed reviews but was a disaster at the box office.

Plot

Story of Maximum revolves around two of Mumbai Police's top encounter specialists. It's a story of their fight for control and oneupmanship. This fight goes through a complex maze of politics, land deals, fake encounters and bad money. Pundit (Sonu Sood) and Inamdar (Naseeruddin Shah) are two encounter specialists who try to overtake each other for power. Each kill the other's informers and the Mumbai police gets divided. Inamdar and his superiors frame a false case against Pundit and he gets suspended. After a couple of years Pundit comes back into the force with the help of a minister, Tiwari (Vinay Pathak). After the Mumbai blasts Inamdar is removed from his position and Pundit gets reinstated. Meanwhile, it is time for the elections and Tiwari gets the responsibility of the entire procedure. One night when he is at home his accomplices are shot. He goes forward to check and finds the culprit to be Pundit. Before Tiwari can shoot him Pundit shoots Pathak.

Maximum (comics)

Maximum is a fictional superhero published by DC Comics. He first appeared in Supermen of America vol. 2 #1 (March 2000), and was created by Fabian Nicieza and Doug Braithwaite.

Fictional character biography

Maxwell Williams was a young African-American high school athlete with a bright future ahead of him, but became a quadripelegic after a tragic accident, and would have remained so without specially designed surgical implants provided by LexCorp. The Lexcorp implants made Maxwell more than human and he used his new powers to fight crime in Suicide Slum under the name of Maximum. After Psilencer's untimely death, Outburst and his inexperienced teammates in the Supermen of America were deeply shaken and reconsidered their vocation. It was around this time that the team met and recruited Max. Unlike the rest of the Supermen, Maximum's identity was public record.

A disgruntled Lexcorp employee discovered that S.T.A.R. Labs had hidden a capsule inside a special holding chamber called Lockdown 6 in the waters near Metropolis. Luthor successfully deployed Pyrogen to retrieve the capsule from Lockdown 6, but he encountered the Deep Six and was rebuffed. Darkseid, lord of Apokolips, also wanted the contents of Lockdown 6 and had sent the Deep Six to retrieve them. In the Vega system, the Warlords of Okaara sensed the danger presented by the capsule, and took preventative measures.