In terms of signal processing, the transform takes a time series representation of a signal function and maps it into a frequency spectrum, where ω is angular frequency. That is, it takes a function in the time domain into the frequency domain; it is a decomposition of a function into harmonics of different frequencies. When the function f is a function of time and represents a physical signal, the transform has a standard interpretation as the frequency spectrum of the signal. The magnitude of the resulting complex-valued fun ...

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Fourier transform, Fourier transform - Applications, Fourier transform - Variants of the Fourier transform, Fourier transform - Continuous Fourier transform, Fourier transform - Fourier series, Fourier transform - Discrete Fourier transform, Fourier transform - Other variants, Fourier transform - Family of Fourier transforms, Fourier transform - Interpretation in terms of time and frequency, Fourier transform - Applications in signal processing

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In general, the solutions for the voltages and currents in a circuit containing resistors, capacitors and inductors (in short, all linear behaving components) are solutions to a linear ordinary differential equation. It can be shown that if the voltage and/or current sources in the circuit are sinusoidal and of constant frequency, the solutions tend to a form referred to as AC steady state. Thus, all of the voltages and currents in the circuit are sinusoidal and have constant peak amplitude, frequency and phase. Let v(t) be a sinusoidal function of time with constant peak amplitude Vp, constant ...

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Electrical impedance, Electrical impedance - AC steady state, Electrical impedance - Definition of impedance, Electrical impedance - Impedance of different devices, Electrical impedance - Resistor, Electrical impedance - Capacitor, Electrical impedance - Inductor, Electrical impedance - Reactance, Electrical impedance - Combining impedances, Electrical impedance - In series, Electrical impedance - In parallel, Electrical impedance - Circuits with general sources, Electrical impedance - Magnitude and phase of impedance, Electrical impedance - Peak phasor versus rms phasor, Electrical impedance - Matched impedances, Electrical impedance - Inverse quantities, Electrical impedance - Acoustic impedance, Electrical impedance - Data-transfer impedance, Electrical impedance - Application to physical devices

Read more here: » Electrical impedance: Encyclopedia II - Electrical impedance - AC steady state

The impedance of a circuit element is defined as the ratio of the phasor voltage across the element to the phasor current through the element: It should be noted that although Z is the ratio of two phasors, Z is not itself a phasor. That is, Z is not associated with some sinusoidal function of time. For DC circuits, the resistance is defined by Ohm's law to be the ratio of the DC voltage across the resistor to the DC current through the resistor: where the VR and ISee also:

Electrical impedance, Electrical impedance - AC steady state, Electrical impedance - Definition of impedance, Electrical impedance - Impedance of different devices, Electrical impedance - Resistor, Electrical impedance - Capacitor, Electrical impedance - Inductor, Electrical impedance - Reactance, Electrical impedance - Combining impedances, Electrical impedance - In series, Electrical impedance - In parallel, Electrical impedance - Circuits with general sources, Electrical impedance - Magnitude and phase of impedance, Electrical impedance - Peak phasor versus rms phasor, Electrical impedance - Matched impedances, Electrical impedance - Inverse quantities, Electrical impedance - Acoustic impedance, Electrical impedance - Data-transfer impedance, Electrical impedance - Application to physical devices

Read more here: » Electrical impedance: Encyclopedia II - Electrical impedance - Definition of impedance

Electrical impedance - Resistor. For a resistor, we have the relation: That is, the ratio of the instantaneous voltage and current associated with a resistor is the value of the DC resistance denoted by R. Since R is constant and real, it follows that if v(t) is sinusoidal, i(t) is also sinusoidal with the same frequency and phase. Thus, we have that the impedance of a resistor is equal to R: Electrical impedance - CapacitorSee also:

Electrical impedance, Electrical impedance - AC steady state, Electrical impedance - Definition of impedance, Electrical impedance - Impedance of different devices, Electrical impedance - Resistor, Electrical impedance - Capacitor, Electrical impedance - Inductor, Electrical impedance - Reactance, Electrical impedance - Combining impedances, Electrical impedance - In series, Electrical impedance - In parallel, Electrical impedance - Circuits with general sources, Electrical impedance - Magnitude and phase of impedance, Electrical impedance - Peak phasor versus rms phasor, Electrical impedance - Matched impedances, Electrical impedance - Inverse quantities, Electrical impedance - Acoustic impedance, Electrical impedance - Data-transfer impedance, Electrical impedance - Application to physical devices

Read more here: » Electrical impedance: Encyclopedia II - Electrical impedance - Impedance of different devices

See main article: Reactance The term reactance refers to the imaginary part of the impedance. Some examples: A resistor's impedance is R (its resistance) and its reactance is 0. A capacitor's impedance is j (-1/ωC) and its reactance is -1/ωC. An inductor's impedance is j ω L and its reactance is ω L. It is important to note that the impedance of a capacitor or an inductor is a function of the frequency f and is an imaginary qua ...

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Electrical impedance, Electrical impedance - AC steady state, Electrical impedance - Definition of impedance, Electrical impedance - Impedance of different devices, Electrical impedance - Resistor, Electrical impedance - Capacitor, Electrical impedance - Inductor, Electrical impedance - Reactance, Electrical impedance - Combining impedances, Electrical impedance - In series, Electrical impedance - In parallel, Electrical impedance - Circuits with general sources, Electrical impedance - Magnitude and phase of impedance, Electrical impedance - Peak phasor versus rms phasor, Electrical impedance - Matched impedances, Electrical impedance - Inverse quantities, Electrical impedance - Acoustic impedance, Electrical impedance - Data-transfer impedance, Electrical impedance - Application to physical devices

Read more here: » Electrical impedance: Encyclopedia II - Electrical impedance - Reactance

Combining impedances in series, parallel, or in delta-wye configurations, is the same as for resistors. The difference is that combining impedances involves manipulation of complex numbers. Electrical impedance - In series. Combining impedances in series is simple: Electrical impedance - In parallel. Combining impedances in parallel is much more difficult than combining simple properties like resistance or capacitance, due to a multiplication term. In rationalized form the equivalent resistance is:See also:

Electrical impedance, Electrical impedance - AC steady state, Electrical impedance - Definition of impedance, Electrical impedance - Impedance of different devices, Electrical impedance - Resistor, Electrical impedance - Capacitor, Electrical impedance - Inductor, Electrical impedance - Reactance, Electrical impedance - Combining impedances, Electrical impedance - In series, Electrical impedance - In parallel, Electrical impedance - Circuits with general sources, Electrical impedance - Magnitude and phase of impedance, Electrical impedance - Peak phasor versus rms phasor, Electrical impedance - Matched impedances, Electrical impedance - Inverse quantities, Electrical impedance - Acoustic impedance, Electrical impedance - Data-transfer impedance, Electrical impedance - Application to physical devices

Read more here: » Electrical impedance: Encyclopedia II - Electrical impedance - Combining impedances

Impedance is defined by the ratio of two phasors where a phasor is the complex peak amplitude of a sinusoidal function of time. For more general periodic sources and even non-periodic sources, the concept of impedance can still be used. It can be shown that virtually all periodic functions of time can be represented by a Fourier series. Thus, a general periodic voltage source can be thought of as a (possibly infinite) series combination of sinusoidal voltage sources. Likewise, a general periodic current source can be thought of as a ( ...

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Electrical impedance, Electrical impedance - AC steady state, Electrical impedance - Definition of impedance, Electrical impedance - Impedance of different devices, Electrical impedance - Resistor, Electrical impedance - Capacitor, Electrical impedance - Inductor, Electrical impedance - Reactance, Electrical impedance - Combining impedances, Electrical impedance - In series, Electrical impedance - In parallel, Electrical impedance - Circuits with general sources, Electrical impedance - Magnitude and phase of impedance, Electrical impedance - Peak phasor versus rms phasor, Electrical impedance - Matched impedances, Electrical impedance - Inverse quantities, Electrical impedance - Acoustic impedance, Electrical impedance - Data-transfer impedance, Electrical impedance - Application to physical devices

Read more here: » Electrical impedance: Encyclopedia II - Electrical impedance - Circuits with general sources

As with all brass instruments, progressive tightening of the lips and increased air pressure allow the player to move to a different partial, up the harmonic series. In first position, the notes on these partials include a pedal B♭ (very low), a B♭ one octave higher, an F above that, a higher B♭, a D, an F (this note tends to be sharp. Accommodate for this by flatting all the positions on this partial slightly), an A♭(this note is always flat. You should never play this A-flat in first position), a B♭, a C, a D, an E♭, and an F. Technically a very skilled player could go higher than this, to a G, A♭, A, and ...

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Trombone, Trombone - Construction, Trombone - History, Trombone - Renaissance & Baroque periods, Trombone - Classical period, Trombone - Romantic Period, Trombone - 20th Century, Trombone - Types of trombone, Trombone - Tenor trombone, Trombone - Bass trombone, Trombone - Contrabass trombone, Trombone - Alto trombone, Trombone - Soprano trombone, Trombone - Sopranino and piccolo trombones, Trombone - Valve trombone, Trombone - Technique, Trombone - Notation, Trombone - Mutes, Trombone - Variations in construction, Trombone - Bells, Trombone - Valve attachments, Trombone - Tuning, Trombone - Slides, Trombone - Regional variations, Trombone - Selective Bibliography

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Complex numbers are commonly expressed in two distinct forms. The rectangular form is simply the sum of the real part with the product of j and the imaginary part: The polar form of a complex number is the product of a real number called the magnitude and another complex number called the phase: Where the magnitude is given by: and the angle is given by: Alternately, the magnitude is given by:See also:

Electrical impedance, Electrical impedance - AC steady state, Electrical impedance - Definition of impedance, Electrical impedance - Impedance of different devices, Electrical impedance - Resistor, Electrical impedance - Capacitor, Electrical impedance - Inductor, Electrical impedance - Reactance, Electrical impedance - Combining impedances, Electrical impedance - In series, Electrical impedance - In parallel, Electrical impedance - Circuits with general sources, Electrical impedance - Magnitude and phase of impedance, Electrical impedance - Peak phasor versus rms phasor, Electrical impedance - Matched impedances, Electrical impedance - Inverse quantities, Electrical impedance - Acoustic impedance, Electrical impedance - Data-transfer impedance, Electrical impedance - Application to physical devices

Read more here: » Electrical impedance: Encyclopedia II - Electrical impedance - Magnitude and phase of impedance

A sinusoidal voltage or current has a peak amplitude value as well as an rms (root mean square) value. It can be shown that the rms value of a sinusoidal voltage or current is given by: In many cases of AC analysis, the rms value of a sinusoid is more useful than the peak value. For example, to determine the amount of power dissipated by a resistor due to a sinusoidal current, the rms value of the current must be known. For this reason, phasor voltage and current sources are often specified as ...

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Electrical impedance, Electrical impedance - AC steady state, Electrical impedance - Definition of impedance, Electrical impedance - Impedance of different devices, Electrical impedance - Resistor, Electrical impedance - Capacitor, Electrical impedance - Inductor, Electrical impedance - Reactance, Electrical impedance - Combining impedances, Electrical impedance - In series, Electrical impedance - In parallel, Electrical impedance - Circuits with general sources, Electrical impedance - Magnitude and phase of impedance, Electrical impedance - Peak phasor versus rms phasor, Electrical impedance - Matched impedances, Electrical impedance - Inverse quantities, Electrical impedance - Acoustic impedance, Electrical impedance - Data-transfer impedance, Electrical impedance - Application to physical devices

Read more here: » Electrical impedance: Encyclopedia II - Electrical impedance - Peak phasor versus rms phasor

When fitting components together to carry electromagnetic signals, it is important to match impedance, which can be achieved with various matching devices. Failing to do so is known as impedance mismatch and results in signal loss and reflections. The existence of reflections allows the use of a time-domain reflectometer to locate mismatches in a transmission system. For example, a conventional radio frequency antenna for carrying broadcast television in North America was standardized to 300 ohms, using balanced, unshielded, flat wiri ...

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Electrical impedance, Electrical impedance - AC steady state, Electrical impedance - Definition of impedance, Electrical impedance - Impedance of different devices, Electrical impedance - Resistor, Electrical impedance - Capacitor, Electrical impedance - Inductor, Electrical impedance - Reactance, Electrical impedance - Combining impedances, Electrical impedance - In series, Electrical impedance - In parallel, Electrical impedance - Circuits with general sources, Electrical impedance - Magnitude and phase of impedance, Electrical impedance - Peak phasor versus rms phasor, Electrical impedance - Matched impedances, Electrical impedance - Inverse quantities, Electrical impedance - Acoustic impedance, Electrical impedance - Data-transfer impedance, Electrical impedance - Application to physical devices

Read more here: » Electrical impedance: Encyclopedia II - Electrical impedance - Matched impedances

The impedance of a circuit element is defined as the ratio of the phasor voltage across the element to the phasor current through the element: It should be noted that although Z is the ratio of two phasors, Z is not itself a phasor. That is, Z is not associated with some sinusoidal function of time. For DC circuits, the resistance is defined by Ohm's law to be the ratio of the DC voltage across the resistor to the DC current through the resistor: where the VR and ...

See also:

Electrical impedance, Electrical impedance - AC steady state, Electrical impedance - Definition of impedance, Electrical impedance - Impedance of different devices, Electrical impedance - Resistor, Electrical impedance - Capacitor, Electrical impedance - Inductor, Electrical impedance - Reactance, Electrical impedance - Combining impedances, Electrical impedance - In series, Electrical impedance - In parallel, Electrical impedance - Circuits with general sources, Electrical impedance - Magnitude and phase of impedance, Electrical impedance - Peak phasor versus rms phasor, Electrical impedance - Matched impedances, Electrical impedance - Inverse quantities, Electrical impedance - Acoustic impedance, Electrical impedance - Data-transfer impedance, Electrical impedance - Application to physical devices

Read more here: » Electrical impedance: Encyclopedia II - Electrical impedance - Definition of impedance

The piano accordion is the instrument most often indicated by the term "accordion", but it is one of the most recent inventions among accordion types, appearing late in the 19th century and not accepted worldwide until the early 20th century. It has a right-hand keyboard similar to a piano; this facilitates learning for musicians already familiar or proficient on the piano. The left hand keyboard is usually configured in the Stradella system, a combination of chords and single notes, arranged in a uniform series by harmonic rel ...

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Accordion, Accordion - Physical description, Accordion - History, Accordion - Piano accordions, Accordion - Button accordions, Accordion - Stradella bass system, Accordion - Free bass systems, Accordion - Audio samples, Accordion - Related instruments, Accordion - Squeezeboxes, Accordion - Other free-reeds

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Congress had amended Title VII once before, in 1972, when it broadened the coverage of the Act. It was moved to overhaul Title VII in 1991 and to harmonize it with Section 1981 jurisprudence, by a series of Supreme Court decisions: Patterson v. McLean Credit Union, 491 U.S. 164 (1989), which held that an employee could not sue for damages caused by racial harassment on the job, because even if the employer's conduct were discriminatory, the employer had not denied the employee the "same right . . . to make and enforce contracts ...

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Civil Rights Act of 1991, Civil Rights Act of 1991 - Predecessors of the Act, Civil Rights Act of 1991 - Impetus for the Act, Civil Rights Act of 1991 - Changes made by the Act, Civil Rights Act of 1991 - External sources

Read more here: » Civil Rights Act of 1991: Encyclopedia II - Civil Rights Act of 1991 - Impetus for the Act

The Monkees, selected specifically to appeal to the youth market with their manufactured personae and carefully produced singles, can be seen as the original precursor to the modern proliferation of studio and corporation-created bands, or the modern boy band. However, The Monkees differ from typical modern boy bands in several respects. The Monkees did not perform the tightly harmonized ballads or synchronized dance routines boy bands are noted for today. The group was shown playing musical instruments on the show, or actually played instru ...

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The Monkees, The Monkees - History of the series, The Monkees - Beyond television, The Monkees - From TV to stage, The Monkees - The End of The Monkees, The Monkees - Revival, The Monkees - Impact of The Monkees, The Monkees - U.S. Albums, The Monkees - U.S. Singles

Read more here: » The Monkees: Encyclopedia II - The Monkees - Impact of The Monkees

The piano accordion is the instrument most often indicated by the term "accordion", but it is one of the most recent inventions among accordion types, appearing late in the 19th century and not accepted worldwide until the early 20th century. It has a right-hand keyboard similar to a piano; this facilitates learning for musicians already familiar or proficient on the piano. The left hand keyboard is usually configured in the Stradella system, a combination of chords and single notes, arranged in a uniform series by harmonic rel ...

See also:

Accordion, Accordion - Physical description, Accordion - History, Accordion - Piano accordions, Accordion - Button accordions, Accordion - Stradella bass system, Accordion - Free bass systems, Accordion - Audio samples, Accordion - Related instruments, Accordion - Squeezeboxes, Accordion - Other free-reeds, Accordion - Trivia

Read more here: » Accordion: Encyclopedia II - Accordion - Piano accordions

It is interesting to note that Kazuma's and Ryuhou's alters are symbolic interpretations of their character development. For instance, Kazuma's initial alter is an amalgamation of his brewing anger, but his alter eventually becomes more and more aggressively aesthetic as he grows more and more angered throughout the series. Also, his "harmonic alter" is symbolic of his close relationships with the people around him. In contrast, Ryuhou's separate alter is representative of his separation from the people he loves, and as he develops c ...

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Scryed, Scryed - Episode titles, Scryed - Opening/Ending Theme, Scryed - Character list, Scryed - Common Terms, Scryed - Kazuma's and Ryuhou's Evolving Alters and Fighting Styles, Scryed - Theme Songs, Scryed - United States Cast List, Scryed - Japanese Cast List, Scryed - Foreign Broadcasters

Read more here: » Scryed: Encyclopedia II - Scryed - Kazuma's and Ryuhou's Evolving Alters and Fighting Styles

In the movie π, the protagonist is searching for hidden numerical patterns in the stock market and the Torah. Each Hebrew letter corresponds to a number. The true name of God is said to correspond to a 216 digit number. British goth band Inkubus Sukkubus changed their name from 'Incubus Succubus' on the advice of a friend who said that the numerology of their first name was bringing them bad luck. The TV series Lost ...

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Numerology, Numerology - Esoteric significance of numbers, Numerology - One, Numerology - Two, Numerology - Three, Numerology - Four, Numerology - Five, Numerology - Six, Numerology - Seven, Numerology - Eight, Numerology - Nine, Numerology - Ten, Numerology - Eleven, Numerology - Twelve, Numerology - Thirteen, Numerology - Twenty-two, Numerology - Zero, Numerology - Alphabetic harmonics, Numerology - Numerological divination, Numerology - Numerology in science, Numerology - Postmodern critique, Numerology - Numerology and astrology, Numerology - In popular culture, Numerology - Days of Birth reveal your character, Numerology - Sunday born, Numerology - Monday born, Numerology - Tuesday born, Numerology - Wednesday born, Numerology - Thursday born, Numerology - Friday born, Numerology - Saturday born

Read more here: » Numerology: Encyclopedia II - Numerology - In popular culture

The soundtrack for Final Fantasy VI is the work of long-time series contributor Nobuo Uematsu. The score consists of themes for each major character and location, plus music for standard battles and fights with boss enemies, as well as for special cutscenes. The "Aria di Mezzo Carattere" is one of the latter tracks, played during an cutscene involving an opera performance. This track features an unintelligible "voice" that harmonizes with the melody: the technical limitations of the Super Nintendo hardware prevented the use of an actu ...

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Final Fantasy VI, Final Fantasy VI - Gameplay, Final Fantasy VI - Story, Final Fantasy VI - Playable characters, Final Fantasy VI - Musical score, Final Fantasy VI - Graphics, Final Fantasy VI - Localization and censorship, Final Fantasy VI - Reception, Final Fantasy VI - PlayStation rerelease, Final Fantasy VI - Game Boy Advance rerelease, Final Fantasy VI - Packaging artwork

Read more here: » Final Fantasy VI: Encyclopedia II - Final Fantasy VI - Musical score

Vai is an accomplished studio producer (he owns two: "The Mother Ship" and "The Harmony Hut") and his own recordings combine his signature guitar prowess with novel compositions and considerable use of studio and recording effects, such as the Eventide H3000 ultra harmonizer and Digidesign's Pro Tools Hard Disc recording system and plug-in effects architecture. Vai also helped design his signature Ibanez JEM series of guitars. They feature a hand grip (fondly referred to as a "monkey grip") cut into the top of the body of the guitar, ...

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Steve Vai, Steve Vai - Early life, Steve Vai - Work with Frank Zappa, Steve Vai - Rise to prominence, Steve Vai - 1990s and 2000s, Steve Vai - Movies, Steve Vai - Musical style, Steve Vai - Equipment, Steve Vai - Other engagements, Steve Vai - Discography, Steve Vai - Solo Albums, Steve Vai - Appearances on Zappa albums, Steve Vai - With other artists, Steve Vai - Soundtracks, Steve Vai - Compilations

Read more here: » Steve Vai: Encyclopedia II - Steve Vai - Equipment

The series focuses upon the Forrester family and its Los Angeles fashion empire, called Forrester Creations. Spectra Couture (formally Spectra Designs) is Forrester's main rival, headed by flamboyant redhead Sally Spectra. At the helm of Forrester is patriarch Eric (John McCook), who has also been helped by his sometime wife Stephanie (Susan Flannery) and his two sons, Ridge (Ronn Moss) and Thorne (Clayton Norcross, Jeff Trachta, currently Winsor Harmon). Daughters Angela, Felicia (formerly Colleen Dion-Scotti, currently Lesli Kay) and Krist ...

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The Bold and the Beautiful, The Bold and the Beautiful - Background & History, The Bold and the Beautiful - Theme song and title sequence, The Bold and the Beautiful - Programing Oddities, The Bold and the Beautiful - Cast, The Bold and the Beautiful - Current cast members, The Bold and the Beautiful - Recurring cast members, The Bold and the Beautiful - Awards

Read more here: » The Bold and the Beautiful: Encyclopedia II - The Bold and the Beautiful - Background & History

In the movie π, the protagonist is searching for hidden numerical patterns in the stock market and the Torah. Each Hebrew letter corresponds to a number. The true name of God is said to correspond to a 216 digit number. British goth band Inkubus Sukkubus changed their name from 'Incubus Succubus' on the advice of a friend who said that the numerology of their first name was bringing them bad luck. The TV series Lost ...

See also:

Numerology, Numerology - Esoteric significance of numbers, Numerology - One, Numerology - Two, Numerology - Three, Numerology - Four, Numerology - Five, Numerology - Six, Numerology - Seven, Numerology - Eight, Numerology - Nine, Numerology - Ten, Numerology - Eleven, Numerology - Twelve, Numerology - Thirteen, Numerology - Twenty-two, Numerology - Fifty-one, Numerology - Zero, Numerology - Alphabetic harmonics, Numerology - Numerological divination, Numerology - Numerology in science, Numerology - Postmodern critique, Numerology - Numerology and astrology, Numerology - In popular culture, Numerology - Days of Birth reveal your character, Numerology - Sunday born, Numerology - Monday born, Numerology - Tuesday born, Numerology - Wednesday born, Numerology - Thursday born, Numerology - Friday born, Numerology - Saturday born

Read more here: » Numerology: Encyclopedia II - Numerology - In popular culture