The opera Les Danaïdes ( The Danaids ) is a five-act tragédie lyrique ; the plot was based on an ancient Greek legend that had been the basis for the first play in a trilogy by Aeschylus, entitled The Suppliants.

* Gene therapy is the basis for the plot line of the film I Am Legend.

It opens with a prologue written in the form of a direct address to the audience outlining all the major characters and explaining the basis of the upcoming plot, allowing the audience to better focus on the message than the suspense of what may happen next.

It is believed that a scenario forms the basis of a fully improvisational performance though it is also likely that they were simple reminders of the plot for those members of the cast who were literate.

The screenplay itself went through many re-writes, and at one point featured an ending where Freder would have flown to the stars ; this plot element later became the basis for Lang's Woman in the Moon.

At the height of neorealism, in 1948, Visconti adapted I Malavoglia, a novel by Giovanni Verga, written at the height of the 19th century realist verismo movement ( in many ways the basis for neorealism, which is therefore sometimes referred to as neoverismo ), bringing the story to a modern setting, which resulted in remarkably little change in either the plot or the tone.

In putting together the story he was heavily influenced by the folklore and landscape of the neighbouring Alderley Edge where he had grown up as a child, taking the local legend of " The Wizard Under the Hill " as a partial basis for the novel's plot.

The television series Criminal Minds featured the condition of erotomania as the basis of the plot for the episodes " Broken Mirror ", " Somebody's Watching " and " The Crossing ".

Space Ship Earthling number Seven ultimately succeeds, and the consequences of their success form the basis of the plot for the novels which follow.

In the geosciences, especially seismic data analysis, these plots also called f-k plot, in which energy density within a given time interval is contoured on a frequency-versus-wavenumber basis.

On the same journey, Froud " pictured a baby surrounded by goblins " and this strong visual image-along with Froud's insight that goblins traditionally steal babies-provided the basis for the film's plot.

Though they might seem boring and rudimentary by today's standards, Bosko's films were quite popular in their day and he rivaled Mickey Mouse in popularity in the early 1930s, although the Disney cartoons would eventually surge ahead in popularity on the basis of stronger plot and character development.

The plot establishes an atmosphere of suspicion amongst the Alpha Quadrant powers, initiated by the shapeshifters ' abilities to assume other identities, which forms the basis of plots for Season Four.

There can be little doubt that Christie used the real-life tragedy of American actress Gene Tierney as the basis of her plot.

A similar plot was the basis of the German film Die Dubrow-Krise ( 1969 ) that depicted a fictional East German town joining West Germany.

In 1968 she starred in Buona Sera, Mrs. Campbell with Shelley Winters, Phil Silvers, and Telly Savalas, the plot of which is the basis for the stage musical Mamma Mia!

The plot of the 1947 film Down to Earth was loosely used as the basis for Xanadu.

Thomas Miller ’ s Our Old Town published two years before, included the true story of a miller who loses a lawsuit after assaulting his adversary, and George Eliot used a similar story plot in The Mill on the Floss as the basis of the Tuliver / Wakem feud.

* As an example, in Accidental Lovers viewers can send mobile text messages to the broadcast and the plot transforms on the basis of the keywords picked from the messages.

The idea of a mutant cure, which had previously appeared in the 1992 animated series, was also the basis of the X-Men: The Last Stand movie plot and the series was even made into a motion comic.

This formed the basis for the plot of Videodrome.

* X-Com, a computer game series whose plot and basis were heavily influenced by UFO.

' You can have a character turn into a snake and find it doesn't help, or do it and find it very useful indeed ") as the basis for a plot.

A fictional book is a book ( created specifically for a work of fiction ) that sometimes provides the basis of the plot of a story, a common thread in a series of books, or the works of a particular writer or canon of work.

In the film, Scott was Joan Crawford's somewhat sleazy love interest, whose mysterious murder formed the basis of the plot.

An example of this is how the fundamental basis of Swiss citizenship is citizenship of an individual commune, from which follows citizenship of a canton and of the Confederation.

and provides a mapping mechanism from a vector basis to a Pauli matrix basis as follows

* A Hilbert space is separable if and only if it has a countable orthonormal basis, it follows that any separable, infinite-dimensional Hilbert space is isometric to ℓ < sup > 2 </ sup >.

A basis for the Zariski topology can be constructed as follows.

" Donald calls the same thing autocueing, which he explains as follows: " Mimetic acts are reproducible on the basis of internal, self-generated cues.

These experiences form the basis of the novel The Unknown Shore by Patrick O ' Brian, which closely follows Byron's own account.

Their efforts are the mythological basis for Egyptian embalming practices, which, by mummifying the body, sought to prevent and reverse the decay that follows death.

This term is used to describe the same theory, but with an emphasis on the notion of current flow, which is determined on the basis of the quantum equilibrium hypothesis that the probability follows the Born rule.

It follows that the deleted neighborhood basis of given by the punctured spherical caps < math > c

This fact follows from the famous Hilbert's basis theorem named after mathematician David Hilbert ; the theorem asserts that if R is any Noetherian ring ( such as, for instance, ), R is also a Noetherian ring.

In light of the above, the committee recommended that instead of the current legal definition of kibbutz, two different determinations will be created, as follows, a ) communal kibbutz: a society for settlement, being a separate settlement, organized on the basis of collective ownership of possession, of self-employment, and of equality and cooperation in production, consumption and education, b ) renewing kibbutz: a society for settlement, being a separate settlement, organized on the basis of collective partnership in possession, of self-employment, and of equality and cooperation in production, consumption and education, that maintains mutual guarantee among its members, and its articles of association includes, some or all of the following:

If E < sub > jk </ sub > denotes the n-by-n matrix with a 1 in the j, k position and zeros elsewhere, a basis can be described as follows:

Then the dual basis vectors are given as follows:

On the basis of his account of the virtuous moral agent, McDowell follows Thomas Nagel in rejecting this account as inaccurate: it is more truthful to say that in the case of a moral action, the virtuous agent's perception of the circumstances ( that is, her belief ) itself justifies both the action and the desire.

This follows from the fact that the linear functionals ev < sub > x < sub > i </ sub ></ sub >: ƒ → ƒ ( x < sub > i </ sub >) defined above form a basis of the dual space of P < sub > n </ sub >.

A very useful fact about these topologies is that we may exhibit a basis for them consisting of particularly simple elements, namely the D ( f ) for individual polynomials ( or for projective varieties, homogeneous polynomials ) f. Indeed, that these form a basis follows from the formula for the intersection of two Zariski-closed sets given above ( apply it repeatedly to the principal ideals generated by the generators of ( S )).

Say the regression output on the basis of some given data appears as follows:

Curious as is the order of subjects followed in this treatise, in which several mishnaic sources have been combined, the Tosefta follows it, adding comments that form the basis of the Gemara in both Talmuds.

By induction on n it follows that the basis functions are non-negative for all values of and.

This action of GL < sub > k </ sub >( R ) on F < sub > x </ sub > is both free and transitive ( This follows from the standard linear algebra result that there is a unique invertible linear transformation sending one basis onto another ).

Finally, choosing ( 1, 0 ) and ( 1, − 1 ) as a basis for Z < sup > 2 </ sup >, it follows

It follows that each observable generates an orthonormal basis of eigenvectors ( called an eigenbasis ).