In Nineteen Eighty-Four, George Orwell's novel set in a totalitarian London, main character Winston Smith initially dislikes Julia, the woman he comes to love, because of " the atmosphere of hockey-fields and cold baths and community hikes and general clean-mindedness which she managed to carry about with her.

A Julia set, a fractal related to the Mandelbrot set

Different researchers have postulated that without the aid of modern computer graphics, early investigators were limited to what they could depict in manual drawings, so lacked the means to visualize the beauty and appreciate some of the implications of many of the patterns they had discovered ( the Julia set, for instance, could only be visualized through a few iterations as very simple drawings hardly resembling the image in Figure 3 ).

:* Escape-time fractals – use a formula or recurrence relation at each point in a space ( such as the complex plane ); usually quasi-self-similar ; also known as " orbit " fractals ; e. g., the Mandelbrot set, Julia set, Burning Ship fractal, Nova fractal and Lyapunov fractal.

While Julia Maesa tried to position herself as the power behind the throne and thus the most powerful woman in the world, Elagabalus would prove to be highly independent, set in his ways, and impossible to control.

For example, before the 2007 federal election, which Labor won, he criticised the then opposition industrial relations spokesperson Julia Gillard, saying she lacked an understanding of principles such as enterprise-bargaining set under his government in the late 1980s and early 1990s.

" Regarding the new President, Andrew Johnson, Grant commented to Julia that he dreaded the change in administrations ; he judged Johnson's attitude toward white southerners as one that would " make them unwilling citizens ", and initially thought that with Johnson " Reconstruction has been set back no telling how far.

The Julia set and Mandlebrot sets can be considered as icons of fractal art.

In this book you can find a formula to estimate the distance from a point outside the Mandelbrot set to the boundary of the Mandelbrot set ( and a similar formula for the Julia sets ), and one can wonder why the creator did not use this function instead of the potential function, because it grows in a more natural way ( see the formula in the articles Mandelbrot set and Julia set ).

A Julia set

Three-dimensional slices through the ( four-dimensional ) Julia set of a function on the quaternion s.

In the context of complex dynamics, a topic of mathematics, the Julia set and the Fatou set are two complementary sets defined from a function.

Informally, the Fatou set of the function consists of values with the property that all nearby values behave similarly under repeated iteration of the function, and the Julia set consists of values such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values.

Thus the behavior of the function on the Fatou set is ' regular ', while on the Julia set its behavior is ' chaotic '.

The Julia set and the Fatou set of are both completely invariant under iterations of the holomorphic function, i. e.

Julia set ( in white ) for the rational function associated to Newton's method for ƒ: z → z < sup > 3 </ sup >− 1.

The Julia set for is the unit circle, and on the outer Fatou domain, the potential function is defined by.

This formula has meaning also if the Julia set is not connected, so that we for all c can define the potential function on the Fatou domain containing ∞ by this formula.

* Gaston Julia describes the iteration of a rational function.

Julia Gillard is the party's federal parliamentary leader and Prime Minister of Australia.

Shaping Edwin ’ s ambitious journey in the world of the theater is his love of three women: the beautiful, strong-minded Julia Scarlet, whom he first meets in Ann Arbor ; the emotionally fragile and haunting Jessamy Lee, and the very private and mysterious leading lady Adelina Kane, idol of the American stage.

In the company of Edwin and his loves are a dramatic array of thinly veiled representations of theatrical personages of the time, amongst them Daniel Mendoza, an exacting and powerful impresario, who controls the lives of his leading ladies ; the goatish, démodé manager, Matthew Lewis, who promotes Julia Scarlet as “ the American Sarah Bernhardt ”; the worldly-wise veteran of the stage, Ottilie Potter, who has gotten where she is because, “ Men had what I wanted, and I had what they wanted ”; and the huge, manlike Helen Sampson, chief among theatrical agents.

There is a chapter about her in Julie Powell ’ s book Julie and Julia: 365 Days, 524 Recipes, 1 Tiny Apartment Kitchen and appears as herself in the film adaptation.

It is usually presented to the recipient by Ruth's daughter, Julia Ruth Stevens, or her son, Tom Stevens.

Despite his outwardly carefree attitude, he is haunted by the memory of his time in the syndicate, and particularly by his romantic relationship with a mysterious woman named Julia, and his conflict with arch-rival and former syndicate partner, Vicious.

Brockovich's work in bringing litigation against Pacific Gas and Electric is the focus of the 2000 feature film, Erin Brockovich, starring Julia Roberts in the title role.

Despite the act of incest being unacceptable within the Roman Empire, Roman Emperor Caligula is rumored to have had sexual relationships with all three of his sisters ( Julia Livilla, Drusilla, and Agrippina the Younger ).

Julia Fiona Roberts ( born October 28, 1967 ) is an American actress.

is: Julia Roberts

The current holder of the Guinness World Record for Knitting with the Largest Knitting Needles is Julia Hopson of Penzance in Cornwall.

He married the writer Julia Cameron in 1976 ; they have a daughter, Domenica Cameron-Scorsese, who is an actress and appeared in The Age of Innocence, but the marriage lasted only a year.

* 222 – Emperor Elagabalus is assassinated, along with his mother, Julia Soaemias, by the Praetorian Guard during a revolt.

* 218 – Julia Maesa, aunt of the assassinated Caracalla, is banished to her home in Syria by the self-proclaimed emperor Macrinus and declares her 14-year old grandson Elagabalus, emperor of Rome.

* In " Body Banks ", he is ordered by Network 23 board member Julia Formby to accompany her to the Plantagenet residence, so he can load the dying family matriarch's brain patterns into a computer as he had done with Edison Carter's.

Julia explains she wants more than a man who is interested in a pretty face, and that's why she's been deceptive-substituting a plain-looking woman in place of her own picture.

Luis finds Julia and discovers she is actually working with Walter.

One night Luis follows Julia and discovers Walter is alive and the two are still working together ; she is apparently going to poison her husband that very night.

They run into him at a train station ; Walter is furious that Julia has betrayed him.

In Morocco, Julia is watching a card game.

Julia Gillard is the current Prime Minister, leader of the Australian Labor Party, and the first female Prime Minister of Australia.

Inconsistent with his affections, his deceptions have unraveled at the finale of the play as he is brought face-to-face with his friend Valentine and original love Julia:

Writers whose work is often characterised as post-structuralist include Jacques Derrida, Michel Foucault, Gilles Deleuze, Judith Butler, Jaques Lacan and Julia Kristeva.

In Australia, the debate between republicans and monarchists is still active and Julia Gillard, the current Australian Prime Minister, has expressed her wish for Australia to begin the transition phase to a republic on the death of Elizabeth II.