Discover

Discover may refer to:

Art, entertainment, and media

Businesses and brands

See also

Discover (album)

Discover, written as DisCover on the cover, is the first album by Serbian hard rock band Cactus Jack.

The album features nineteen cover songs and was recorded from a Cactus Jack concert in a Coupe club in Pančevo. Tracks "Hard to Handle" and "Tush" featured Paja Bogdanović on vocals.

Track listing

Discover (magazine)

Discover is an American general audience science magazine launched in October 1980 by Time Inc. It has been owned by Kalmbach Publishing since 2010.

History

Founding

Discover was created primary through the efforts of Time magazine editor Leon Jaroff. He noticed that magazine sales jumped every time the cover featured a science topic. Jaroff interpreted this as a considerable public interest in science, and in 1971 he began agitating for the creation of a science-oriented magazine. This was difficult, as a former colleague noted, because "Selling science to people who graduated to be managers was very difficult".

Jaroff's persistence finally paid off, and Discover magazine published its first edition in 1980. Discover was originally launched into a burgeoning market for science magazines aimed at educated non-professionals, intended to be easier to read than Scientific American but more detailed and science-oriented than Popular Science. Shortly after its launch, the American Association for the Advancement of Science (AAAS) launched a similar magazine called Science 80 (not to be confused with its flagship academic journal), and both Science News and Science Digest changed their formats to follow the new trend.

Rectangular function

The rectangular function (also known as the rectangle function, rect function, Pi function, gate function, unit pulse, or the normalized boxcar function) is defined as:

Alternative definitions of the function define to be 0, 1, or undefined.

Relation to the boxcar function

The rectangular function is a special case of the more general boxcar function:

Where u is the Heaviside function; the function is centered at X and has duration Y, from X-Y/2 to X+Y/2.

Another example is this: rect((t - (T/2)) / T ) goes from 0 to T, so in terms of Heaviside function u(t) - u((t-T) / T )

Fourier transform of the rectangular function

The unitary Fourier transforms of the rectangular function are

using ordinary frequency f, and

using angular frequency ω, where is the unnormalized form of the sinc function.

Note that as long as the definition of the pulse function is only motivated by the time-domain experience of it, there is no reason to believe that the oscillatory interpretation (i.e. the Fourier transform function) should be intuitive, or directly understood by humans. However, some aspects of the theoretical result may be understood intuitively, finiteness in time domain corresponds to an infinite frequency response. (Vice versa, a finite fourier transform will correspond to infinite time domain response.)