A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies. DCTs are important to numerous applications in science and engineering, from lossy compression of audio (e.g. MP3) and images (e.g. JPEG) (where small high-frequency components can be discarded), to spectral methods for the numerical solution of partial differential equations. The use of cosine rather than sine functions is critical for compression, since it turns out (as described below) that fewer cosine functions are needed to approximate a typical signal, whereas for differential equations the cosines express a particular choice of boundary conditions.
In particular, a DCT is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using only real numbers. DCTs are equivalent to DFTs of roughly twice the length, operating on real data with even symmetry (since the Fourier transform of a real and even function is real and even), where in some variants the input and/or output data are shifted by half a sample. There are eight standard DCT variants, of which four are common.
The Motorola DCT6412 is a dual tuner HDTV DVR by Motorola deployed by the following companies:
In the United States, the DCT6412 is generally owned by the cable company and rented to cable subscribers. Some US cable companies lease the DCT6412 to all of their HDTV customers, regardless of whether they have paid to enable DVR service or not.
The Motorola DCT3412 is a digital-tuner only version of the Motorola DCT6412 HDTV DVR. It is similar to the 6412 Phase III, except that it is unable to tune in analog channels. It is only used on systems that have analog-digital simulcasting (ADS) active.
The 3412 is about the same width and height as the 6412, but is not as deep (about 11 inches, versus 13 inches on the 6412). On the front it has no SmartCard slot, no A/V input, and no USB port (there is still one USB port on the back). On the back, there are no A/V inputs and no metal cover where the RF Input connector is.
The 3412 can record two SD digital or HDTV channels at once and play back a recorded show at the same time. The 3412 has a 120 GB hard drive giving it an HDTV recording time of 12–20 hours and about 60 to 90 hours of SD digital TV. A similar model 3416 has a 160 GB drive.
The Motorola DCT3080 is similar to the 3412, but has an 80 gigabyte hard drive and no HD circuitry. It can receive and record HD programming, but can only output 480i.
Escape is a 1940 drama film about an American in pre-World War II Nazi Germany who discovers his mother is in a concentration camp and tries desperately to free her. It starred Norma Shearer, Robert Taylor, Conrad Veidt and Alla Nazimova. It was adapted from the novel of the same name by Grace Zaring Stone.
Famous German stage actress Emmy Ritter (Alla Nazimova) is held in a Nazi concentration camp. She is scheduled to be executed soon, but the sympathetic camp doctor, Ditten (Philip Dorn), has been a fan since childhood and offers to deliver a letter from her to her children...afterwards.
Emmy's son Mark Preysing (Robert Taylor), an American citizen, travels to Germany in search of his mother, but nobody, not even frightened old family friends, want anything to do with him. A German official tells Mark that she has been arrested and advises him to return to the United States.
The postmark of a returned letter guides Mark to the region where she is being held. There, he meets by chance Countess Ruby von Treck (Norma Shearer), an American-born widow, but she also does not want to become involved, at least at first. Then, she asks her lover, General Kurt von Kolb (Conrad Veidt), about Emmy and learns that she has been judged a traitor in a secret trial and sentenced to death.
Escape (Norwegian: Flukt) is a 2012 action-thriller film directed by Roar Uthaug. It stars Isabel Christine Andreasen and Milla Olin as girls in 14th century Norway who must escape bandits led by Ingrid Bolsø Berdal. It premiered at the Slash Film Festival and was released in Norway in September 2012.
In fourteenth century Norway, 19-year-old Signe, her younger brother, and her parents travel through lands made dangerous by the lawlessness following the Black Death. Bandits led by Dagmar kill her entire family; Dagmar herself murders Signe's brother as she watches helplessly. Before the bandits can kill Signe, Dagmar stops them and orders them to take her prisoner. At their camp, Signe meets Frigg, a young girl that Dagmar has adopted. When Frigg shows kindness to Signe, Dagmar chastises her and says that Signe deserves no compassion, as her people have driven them to banditry.
Arvid, Dagmar's lover, stops Loke from raping Signe. As the others watch Arvid and Loke fight, Signe strains to recover Loke's dropped knife. Frigg notices and alerts Dagmar, who tasks Frigg with Signe's punishment, cutting off a finger. When Signe calls Dagmar a witch, Dagmar gloats that she will soon allow the men to rape Signe, as she wants Frigg to have a younger sister. Instead of cutting off Signe's finger, Frigg frees her. As the others sleep, the two girls sneak out of the camp. The bandits wake and give chase, though Signe and Frigg evade them in the nearby forest.
Escape is a book by Carolyn Jessop and Laura Palmer. It discusses Jessop's upbringing in the FLDS polygamous community. Her childhood was affected by the sect's suspicion of outsiders, the division that took place in that FLDS in the 1970s and '80s and by the increasing strictness of the sect her family belonged to. She experienced life with a mother who suffered from depression and was violent with her children. She observed conflict between her parents over celebrating Christmas and the effect of her surroundings and the strictness of the sect on her mother's mental condition and on her mother's relationship with her husband. Importantly for later, she observed and learned how to work round her mother's mood swings and how other children reacted to spanking so as to mitigate the violence but she also learned from her grandmother to take great pride in her church's tradition of plural marriage.
Carolyn wanted to go to college and study medicine but when her father went to seek permission for her to go to college, the condition was that she marry Merril Jessop. It was arranged that she marry Jessop in two days, and to prevent her running away, she had to sleep in her parents' bedroom. She wrote, "The idea of sexual or physical contact with a man thirty-two years my senior was terrifying " Merril Jessop already had three other wives.