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series and increasingly
A series of more than a dozen of debates ensued, where the exchanges grew increasingly vitriolic.
This was not a success in battle, and was replaced with a very successful series of increasingly powerful turretless assault guns: the SU-76, SU-122, and the heavy SU-152, which were followed by the ISU-122 and ISU-152 on the new IS heavy tank chassis.
The British film industry produced a number of highly successful film series, however, including the Doctor series, the St. Trinian's films and the increasingly bawdy Carry On films.
In the process the characters earn experience points to become increasingly powerful over a series of sessions.
It comes to the fore in Italian Renaissance painting, where a series of increasingly ambitious works were produced, many still religious, but several, especially in Florence, which did actually feature near-contemporary historical scenes such as the set of three huge canvases on The Battle of San Romano by Paolo Uccello, the abortive Battle of Cascina by Michelangelo and the Battle of Anghiari by Leonardo da Vinci, neither of which were completed.
A series of experiments using similar but increasingly sophisticated apparatuses all returned the null result as well.
With the rise of the DVD video format, box sets featuring season or series runs of television series have become an increasingly important retail item.
The band's debut album, produced by King Crimson's Pete Sinfield, was the first in a series of increasingly sophisticated album covers, art-directed by Ferry in collaboration with his friend Nick De Ville.
Over the first three series Milligan's demands for increasingly complex sound effects ( or ' grams ', as they were then known ) pushed the available technology and the skills of the BBC engineers to their limits — effects had to be created mechanically ( foley ) or played back from discs, sometimes requiring the use of four or five turntables running simultaneously.
Although she is frequently able to offer scientific alternatives to Mulder's deductions, she is rarely able to refute them completely and, over the course of the series, becomes increasingly dissatisfied with her own ability to contextualize the X-Files in a scientific way.
The first three novels in The Hitchhiker's Guide to the Galaxy series were dubbed a trilogy, and even after he extended the series, author Douglas Adams continued to use the term for humorous effect-for example, calling Mostly Harmless " the fifth book in the increasingly inaccurately named trilogy.
The messages would be delivered by Steed in increasingly bizarre ways as the series progressed: in a newspaper Peel had just bought, or on traffic lights while she was out driving.
The genre's popularity stagnated as games became more complicated and as arcades began to lose their audience to increasingly powerful home consoles near the end of the 1990s, though new franchises such as Dead or Alive, and the Soul series achieved success.
Wankel engines are also becoming increasingly popular in homebuilt experimental aircraft, such as the ARV Super2 which can be re-engined with the MidWest AE series aero-engine.
At the same time, the James Bond novels by Ian Fleming were adapted into an increasingly fantastical series of tongue-in-cheek adventure films by producers Harry Saltzman and Albert R. Broccoli, with Sean Connery as the star.
Several different psychotic types were explored during the run of the show with increasingly complex psychological motivations that, as the series entered the middle of the second series, began to expand beyond the criminals being investigated to the regular cast members.
Dissatisfaction with this state of affairs would lead to a series of conspiracies and attempted coups, which in turn eventually provoked Commodus to take charge of affairs, which he did in an increasingly dictatorial manner.
" However, as the series progresses, Tom's inventions " show an increasingly independent genius as he develops devices, such as an electric rifle and a photo telephone, further removed from the scientific norm ".
Later volumes in the series focused increasingly on the extraterrestrial " space friends ", as they are called throughout the series.

series and complex
In 1 we investigate a new series of line involutions in a projective space of three dimensions over the field of complex numbers.
It begins with an epistolary address to the reader followed by an apocalyptic description of a complex series of events derived from prophetic visions which the author claims to have seen.
Many of the most popular books of the Golden Age were written by Agatha Christie, who produced a long series of books featuring her detectives Hercule Poirot and Miss Marple, amongst others, and usually including a complex puzzle for the reader to try to unravel.
* Rings of Laurent series with coefficients in the complex numbers form strictly noncommutative division rings.
The original proof is based on the Taylor series expansions of the exponential function e < sup > z </ sup > ( where z is a complex number ) and of sin x and cos x for real numbers x ( see below ).
Using the ratio test it is possible to show that this power series has an infinite radius of convergence, and so defines e < sup > z </ sup > for all complex z.
* statements assuming a combination of intention and probability (" they are moving ") to distinguish the likely series of events and dependencies (" if they can sell their house they might move to Agrestic or if they can't, to Gardendale ") in which the probability that an attempt to do something complex may fail is explicitly acknowledged and not assumed certain.
By 1951, 87 subroutines in the following categories were available for general use: floating point arithmetic ; arithmetic operations on complex numbers ; checking ; division ; exponentiation ; routines relating to functions ; differential equations ; special functions ; power series ; logarithms ; miscellaneous ; print and layout ; quadrature ; read ( input ); nth root ; trigonometric functions ; counting operations ( simulating repeat until loops, while loops and for loops ); vectors ; and matrices.
The Vitagraph company's The Man That Might Have Been ( William Humphrey, 1914 ), is even more complex, with a series of reveries and flash-backs that contrast the protagonist's real passage through life with what might have been, if his son had not died.
The inverse transform, known as Fourier series, is a representation of s < sub > P </ sub >( t ) in terms of a summation of a potentially infinite number of harmonically related sinusoids or complex exponential functions, each with an amplitude and phase specified by one of the coefficients:
Hemoglobin ( Hb ) is synthesized in a complex series of steps.
The existence of a complex derivative is a very strong condition, for it implies that any holomorphic function is actually infinitely differentiable and equal to its own Taylor series.
The term analytic function is often used interchangeably with “ holomorphic function ”, although the word “ analytic ” is also used in a broader sense to describe any function ( real, complex, or of more general type ) that is equal to its Taylor series in a neighborhood of each point in its domain.
Irreducible complexity ( IC ) is an argument by proponents of intelligent design that certain biological systems are too complex to have evolved from simpler, or " less complete " predecessors, through natural selection acting upon a series of advantageous naturally occurring, chance mutations.
* 1968 – Surveyor Program: Surveyor 7, the last spacecraft in the Surveyor series, lifts off from launch complex 36A, Cape Canaveral.
* A modified ( block style ) Lambda is used as a recurring symbol in the Valve computer game series Half-Life, referring to the Lambda complex of the fictional Black Mesa Research Facility.
He discovered ways to express various logarithmic functions using power series, and he successfully defined logarithms for negative and complex numbers, thus greatly expanding the scope of mathematical applications of logarithms.
In his chapter titled " Truth " published in the Encyclopedia of Phenomenology, Dieter Lohmar questions the memeticists ' reduction of the highly complex body of ideas ( such as religion, politics, war, justice, and science itself ) to a putatively one-dimensional series of memes.
This created a complex series of events.
This complex series of events however divert attention from the primary result of the Cadell Fault.
In everyday speech, both maze and labyrinth denote a complex and confusing series of pathways, but technically the maze is distinguished from the labyrinth, as the labyrinth has a single through-route with twists and turns but without branches, and is not designed to be as difficult to navigate.
The exponential function can be extended to a function which gives a complex number as e < sup > x </ sup > for any arbitrary complex number x ; simply use the infinite series with x complex.

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