It was not until 1567 that the first portrait of Gutenberg, almost certainly an imaginary reconstruction, appeared in Heinrich Pantaleon's biography of famous Germans.

Mendelssohn, Lavater and Lessing, in an imaginary portrait by the Jewish artist Moritz Daniel Oppenheim ( 1856 ).

" Robert Emmet-The Irish Patriot "; a posthumous imaginary portrait of 1872.

An imaginary model was used to represent Paul de Chomedey, sieur de Maisonneuve, as no authentic portrait of the first governor of Montreal exists.

There is an imaginary portrait of him, c. 1843, by François-Édouard Picot for the Salles des Croisades at Versailles: it depicts him as a handsome, rather pensive man in his forties, wearing a coronet and fanciful pseudo-mediæval costume.

In his philosophical novel Marius the Epicurean ( 1885 ), an extended imaginary portrait set in the Rome of the Antonines, which Pater believed had parallels with his own century, he examines the " sensations and ideas " of a young Roman of integrity, who pursues an ideal of the " aesthetic " life – a life based on αίσθησις, perception – tempered by asceticism.

The poet painted an imaginary portrait of the " Duke of Lerma " and created some other works featuring Spaniards.

File: Sanjūrokkasen-gaku-5-Kanō Tan ’ yū-Chūnagon Yakamochi. jpg | Framed imaginary portrait of the 8th century poet Ōtomo no Yakamochi from a series of the Thirty-six Poetry Immortals, Kanō Tan ' yū, 1648

Khnopff accepted this commission but destroyed the work later because the famous soprano Rose Caron was offended by the imaginary portrait of Leonora d ' Este that Khnopff had designed to adorn the cover and in which Caron believed to recognise her own face.

: It is now clear that for facts about Haydn one will turn first to the Biographische Notizen of Griesinger, but that reliance upon that source alone would deprive Haydn's portrait of many authentic details, mixed inescapably with some imaginary ones.

An imaginary portrait of Ruy González de Clavijo, in a 19th-century engraving

The obverse side shows King Charles Robert ( an imaginary portrait, as no portraits of him survive ).

An imaginary portrait by Albrecht Dürer

An imaginary seaport with a transposed Villa Medici, painted by Claude Lorrain around 1637, at the height of mercantilism

The mural, created in 1933, titled " Ejercicio Plástico " (" Plastic Exercise "), which he created during his stay in the Argentine capital — an imaginary underwater world with a type of bubble where sensual feminine figures float in the water was painted on the walls, ceiling and floor of a basement in a house outside Buenos Aires that belonged to the director of the Crítica newspaper where Siqueiros was a columnist for more than a year.

and his early work was heavily influenced his teacher. Like Ribera he painted many half-length figures of philosophers, either imaginary portraits of specific figures, or generic types.

The imaginary painting ' Girl in Hyacinth Blue ', the principal object in this film, is painted exactly in Vermeer's painting technique by the American master painter Jonathan Janson, author and webmaster of the world-known website about the life and work of Johannes Vermeer " Essential Vermeer ".

From wrong premises, most religions build up an imaginary world and threaten believers about the consequences of their actions as if they are deeply painted on the soul of a person.

She describes, first, the imaginary reaction of a foreigner puzzled by this `` unseasonable exultation '' ; ;

The limits are suggested by an imaginary experiment: contrast the perceptual skill of English professors with that of their colleagues in discriminating among motor cars, political candidates, or female beauty.

He demonstrated by playing an imaginary piano, doing a staccato passage with a broadly exaggerated attack.

A person who participates in archery is typically known as an " archer " or " bowman ", and one who is fond of or an expert at archery can be referred to as a " toxophilite ".< ref > The noun " toxophilite ", meaning " a lover or devotee of archery, an archer ", is derived from Toxophilus by Roger Ascham —" imaginary proper name invented by Ascham, and hence title of his book ( 1545 ), intended to mean ' lover of the bow '.

Popper argued that totalitarianism was founded on " conspiracy theories " which drew on imaginary plots driven by paranoid scenarios predicated on tribalism, chauvinism, or racism.

The view that there was no rigid structure is reinforced by S. T. Joshi, who stated " Lovecraft's imaginary cosmogony was never a static system but rather a sort of aesthetic construct that remained ever adaptable to its creator's developing personality and altering interests ... here was never a rigid system that might be posthumously appropriated ... he essence of the mythos lies not in a pantheon of imaginary deities nor in a cobwebby collection of forgotten tomes, but rather in a certain convincing cosmic attitude.

A crystal structure ( an arrangement of atoms in a crystal ) is characterized by its unit cell, a small imaginary box containing one or more atoms in a specific spatial arrangement.

In offline version, machine improvisation can be used to achieve style mixing, an approach inspired by Vannevar Bush's memex imaginary machine.

* Complex conjugation, the involution multiplying the imaginary part of a complex number by − 1

If this limit exists, then it may be computed by taking the limit as h → 0 along the real axis or imaginary axis ; in either case it should give the same result.

Third, a variant of this conjugation trick, which is sometimes preferable because it requires no modification of the data values, involves swapping real and imaginary parts ( which can be done on a computer simply by modifying pointers ).

In electromagnetic radiation ( such as microwaves from an antenna, shown here ) the term applies only to the parts of the electromagnetic field that radiate into infinite space and decrease in intensity by an inverse-square law of power, so that the total radiation energy that crosses through an imaginary spherical surface is the same, no matter how far away from the antenna the spherical surface is drawn.

The field may be visualised by a set of imaginary lines whose direction at any point is the same as that of the field.

Bulwer-Lytton's name lives on in the annual Bulwer-Lytton Fiction Contest, in which contestants think-up terrible openings for imaginary novels, inspired by the first line of his novel Paul Clifford: It was a dark and stormy night ; the rain fell in torrents — except at occasional intervals, when it was checked by a violent gust of wind which swept up the streets ( for it is in London that our scene lies ), rattling along the housetops, and fiercely agitating the scanty flame of the lamps that struggled against the darkness.

If any part of the ball reaches any part of the imaginary vertical plane transected by this line while in-bounds and in possession of a player whose team is striving toward that end of the field, this is considered a touchdown and scores six points for the team whose player has advanced the ball to, or recovered the ball in, this position.

Several other fictional books were invented by the same author, including an entire bibliography for the fictional author Pierre Menard, as well as an imaginary novel, purportedly written by a Bombay lawyer named Mir Bahadur Ali, entitled " The Approach to Al-Mu ' tasim ," which was " reviewed " by Borges in his story of the same name.

* The twelve-volume opus Life by Unspiek, Baron Bodissey is an oft-quoted imaginary work referred to in various novels by Jack Vance.

The Rader-Brenner algorithm ( 1976 ) is a Cooley – Tukey-like factorization but with purely imaginary twiddle factors, reducing multiplications at the cost of increased additions and reduced numerical stability ; it was later superseded by the split-radix variant of Cooley – Tukey ( which achieves the same multiplication count but with fewer additions and without sacrificing accuracy ).

Alternatively, it is possible to express an even-length real-input DFT as a complex DFT of half the length ( whose real and imaginary parts are the even / odd elements of the original real data ), followed by O ( N ) post-processing operations.

( In Frasier, Dina Spybey in " Don Juan in Hell, Part 2 " ( 2001 ) portrays her younger version in Frasier's imaginary dream, and Laurie Metcalf in " Caught in the Act " ( 2004 ) portrays her as an adult.

* q is the number of roots of the polynomial ƒ ( z ) with positive Real Part ( let us remind ourselves that ƒ is supposed to have no roots lying on the imaginary line );

He is the so-called " Mad Arab " credited with authoring the imaginary book Kitab al-Azif ( the Necronomicon ), and as such is an integral part of Cthulhu Mythos lore.

The Bessel function of the second kind then can be thought to naturally appear as the imaginary part of the Hankel functions.

Oscillations are present when poles with real part equal to zero have an imaginary part not equal to zero.

which has a pole in ( zero imaginary part ).

Assuming we can define at least one nonreal complex number, however, a complex number is definable if and only if both its real part and its imaginary part are definable.

: the imaginary part

In electronic engineering and other fields, signals that vary periodically over time are often described as a combination of sine and cosine functions ( see Fourier analysis ), and these are more conveniently expressed as the real part of exponential functions with imaginary exponents, using Euler's formula.

Since the imaginary part of the amplitude contains the phase of the beam, this results in the reversal of phase property of the effect.

" Whereas reason and convenience indicate to us an uniform standard for all quantities ; which I shall call the Georigan standard ; and that is only to divide every integer in each species into eight equal parts, and every part again into 8 real or imaginary particles, as far as is necessary.

" Scott McCrea describes the setting as " a nonrealistic Venice " and the laws invoked by Portia as part of the " imaginary world of the play ", inconsistent with actual legal practice.

In ( B-F ), the horizontal axis is position, and the vertical axis is the real part ( blue ) and imaginary part ( red ) of the wavefunction.

In opaque media, the refractive index is a complex number: while the real part describes refraction, the imaginary part accounts for absorption.

Propagation of matter wave | de Broglie waves in 1d — real part of the complex number | complex amplitude is blue, imaginary part is green.

The real part is the velocity potential, and the imaginary part is the stream function.

The imaginary component in that instance however has not been introduced for the purpose of mathematical expediency but is in fact an inherent part of the “ wave ”.

The phase of the sinusoid varies with distance which results in the propagation constant being a complex number, the imaginary part being caused by the phase change.