When the Laplace transform is performed on a discrete-time signal ( with each element of the discrete-time sequence attached to a correspondingly delayed unit impulse ), the result is precisely the Z transform of the discrete-time sequence with the substitution of

When patched together, these phrases combined to create musical pieces which could be performed by human players.

When a manipulation is performed, the applied force separates the articular surfaces of a fully encapsulated synovial joint, which in turn creates a reduction in pressure within the joint cavity.

When the barbarians arrive at Catan, a special phase is immediately performed before all other actions ( including collecting resources ).

When The Byrds performed on December 12, 1965, David Crosby got into a shouting match with the show's director.

When they refused, Galen performed the surgery himself and in so doing won the favor of the High Priest of Asia.

When U2 performed in the Netherlands three weeks after Brood's suicide, they paid tribute to him at each of the three shows.

When Connick, Jr., was nine years old, he performed the Piano Concerto No. 3 Opus 37 of Beethoven with the New Orleans Symphony Orchestra ( now the Louisiana Philharmonic ), and later played a duet with Eubie Blake at the Royal Orleans Esplanade Lounge in New Orleans.

When such reports are verified by the Orthodox hierarchy, they are understood as miracles performed by God through the prayers of the saint, rather than being magical properties of the painted wood itself.

When floating point operations needed to be performed they were still performed, but not in hardware ; instead the operations were usually facilitated by transparent software emulation.

When it is performed ineptly, or is vulgar, and especially if it is vulgar and witnessed by sleepers, magic can cause Paradox, a phenomenon in which reality tries to resolve contradictions between the consensus and the Mage's efforts.

When, in 1887, the French and Italian Governments agreed upon moving the mortal remains of Rossini into the Basilica di Santa Croce, in Florence, Alboni, then a sixty-one-year-old lady living in seclusion, wrote to the Italian Foreign Minister, Di Robilant, proposing that the Petite Messe Solennelle, " the last musical composition by Rossini ", be performed in Santa Croce the day of the funeral, and " demanding the honour, as an Italian and a pupil of the immortal Maestro ," of singing it herself in her " dear and beloved homeland ".

When Bada performed the Miller-type experiment with the addition of iron and carbonate minerals, the products were rich in amino acids.

Green Day and U2 performed " Wake Me Up When September Ends " and " The Saints Are Coming ", respectively, before the game.

When performed ' in token ' this involves the athame ( representing the masculine principle ) descending into the chalice ( representing the feminine ).

When the dealer is not a player ( i. e. a casino employee ), the cut is mandatory and is usually performed by the dealer.

When performed manually, correction may consist of simply converting the red area of pupils to grayscale ( desaturating ), leaving surface reflections and highlights intact.

* When they wished to bear offspring, they performed a ritual each rounding a pole, male to the left and female to the right, the female greeting the male first.

When one is performing acts that harm the land or other living things, prayers and rituals are performed to placate the Kami of the area.

When a node x is accessed, a splay operation is performed on x to move it to the root.

When Asian Martial arts films started to draw crowds in European cinema houses, the producers of Spaghetti Westerns tried to hang on, this time not by adapting story-lines but rather by directly including Martial Arts fighting in the films, performed by Eastern actors – for example Chen Lee in My Name Is Shanghai Joe or Lo Lieh teaming up with Lee Van Cleef in The Stranger and the Gunfighter.

Bob Dylan appeared on stage on New Year's Eve and performed four songs with the group, including a version of " When I Paint My Masterpiece ".

The Band appeared at Bob Dylan's 30th anniversary concert celebration in New York City in October 1992, where they performed their version of Dylan's " When I Paint My Masterpiece ".

Other songs performed by Amos include The Doors ' " People are Strange ", Depeche Mode's " Personal Jesus ", Joni Mitchell's " The Circle Game ", Madonna's " Live to Tell " and " Like a Prayer ", Björk's " Hyperballad ", Led Zeppelin's " When the Levee Breaks " ( which she debuted in Austin, Texas, just after the events of Hurricane Katrina ), Kate Bush's " And Dream of Sheep " and Crowded House's " Don't Dream It's Over ", dedicating it to drummer Paul Hester who had died a week before.

When he discovered they had received from the Company's Court of Directors no permission to live in India, coupled with the fact that they were Americans who had been sent to Asia to convert `` the heathen '', he became more belligerent than ever.

When they are able to hold a live spider without feeling anxious, they will have conquered their phobia.

When he comes to his senses, covered in blood, and realizes what he has done, with diminished honor he decides that he prefers to kill himself rather than to live in shame.

When people live in their heads, feelings are secondary ; they are interpretations of mental images that are fed back to the individual.

When appearing in live concerts, she frequently performs spiritual songs.

When Elizabeth was 3 years old, the family moved to 142 Long Acre, where they were to live for 2 years, whilst two more children were born and her father moved up in the world, becoming not only the manager of a larger pawnbroker ’ s shop, but also a silversmith.

When his eighty-year-old son died, the father mourned: “ I always told him he wouldn ’ t live long, poor boy.

When Peripatetic philosopher Eudemus became ill with Quartan fever, Galen felt obliged to treat him " since he was my teacher and I happened to live nearby.

In " The Time Monster " he reveals that " When I was a little boy, we used to live in a house that was perched halfway up the top of a mountain ", explaining, " I ran down that mountain and I found that the rocks weren't grey at all-but they were red, brown and purple and gold.

When playing live, Lee and his bandmates recreate their songs as accurately as possible with digital samplers.

Rajiv Gandhi on a live TV show said of the carnage, " When a big tree falls, the earth shakes.

" When asked why she came back to chess after taking time off to care for her children, she said " I cannot live without chess!

When the Australian television programme 60 Minutes challenged her to demonstrate how she could live without food and water, the supervising medical professional Dr. Beres Wenck found that after 48 hours Jasmuheen displayed symptoms of acute dehydration, stress and high blood pressure.

" When an elderly defendant told him that he would not be able to live to complete a five-year sentence, Landis scowled at him and asked, " Well, you can try, can't you?

When all radio was live, it allowed programming to be prerecorded.

When the Mets moved to Shea Stadium in 1964, fans were introduced to a live costumed version.

When they lost their first child, a boy, only eight days after birth, the couple decided to live a secluded religious life.

When asked about the exiled Duke Senior, the character of Charles says that he is " already in the forest of Arden, and a many merry men with him ; and there they live like the old Robin Hood of England.

When episodes were broadcast live, post production work was impossible.

When Gestapo agents were at his door he turned to his wife, who was crying, and said " Don ´ t cry, we were living in fear, but from now on we will live in hope ".

When All this is accomplished, -- but not till then, a negotiation may be commenced in some such Terms as the following-You take my opium-I take your Islands in return-we are therefore Quits, --& thenceforth if you please let us live in friendly Communion and good fellowship.

When the trial formally opened in early 1993, Honecker was released due to ill health and on 13 January of that year moved to Chile to live with his daughter Sonja, her Chilean husband Leo Yáñez, and their son Roberto.

When he was two, his mother moved to the South Bronx near the Bronx Zoo, to live with her parents, Kate and James Gerardi, who originated from Corleone, Sicily.

When Emperor Ichijō died in 1011, Shōshi retired from the Imperial Palace to live in a Fujiwara mansion in Biwa, most likely accompanied by Murasaki, who is recorded as being there with Shōshi in 1013.

When David returned, he was determined to live up to the memory of his illustrious father.