Snap

Snap or SNAP may refer to:

Games and sport

Music

Science

Computing

Jounce

In physics, jounce or snap is the fourth derivative of the position vector with respect to time, with the first, second, and third derivatives being velocity, acceleration, and jerk, respectively; hence, the jounce is the rate of change of the jerk with respect to time. Jounce is defined by any of the following equivalent expressions:

The following equations are used for constant jounce:

where

The notation (used in ) is not to be confused with the displacement vector commonly denoted similarly. Currently, there are no well-accepted designations for the derivatives of jounce. The fourth, fifth and sixth derivatives of position as a function of time are "sometimes somewhat facetiously" referred to as snap, crackle and pop respectively. Because higher-order derivatives are not commonly useful, there has been no consensus among physicists on the proper names for derivatives above jounce.

The dimensions of jounce are distance per (time to the power of 4). In SI units, this is "metres per quartic second", "metres per second per second per second per second", m/s⁴, m · s⁻⁴, or 100 Gal per second squared in CGS units. This pattern continues for higher order derivatives, with the 5th being m/s⁵.

Pillow Pal

Pillow Pals were a line of plush toys made by Ty, Inc. during the 1990s. The toys were given their name because they were soft like a pillow, and were made with children in mind. Though many of them resembled certain Beanie Babies, those that did not share names with their Beanie Baby counterparts. Such Pillow Pals saw a decline in popularity in the late 1990s with the introduction of Beanie Buddies, which were also larger versions of various Beanie Babies. In January 1999, all Pillow Pals were redesigned, and their colors were changed. This line did not sell well, and was discontinued by Ty around the end of the year. Today, PillowPals LLC takes children's drawings and replicates them into 3D pillows.

At the time of the final retirement, Ty donated its remaining stock of pillow pals to the Ronald McDonald House to be distributed to sick children.

List of Pillow Pals

The following Pillow Pals were made during the 1990s:

After the 1999 redesign, the following Pillow Pals were made:

Range (statistics)

In arithmetic, the range of a set of data is the difference between the largest and smallest values.

However, in descriptive statistics, this concept of range has a more complex meaning. The range is the size of the smallest interval which contains all the data and provides an indication of statistical dispersion. It is measured in the same units as the data. Since it only depends on two of the observations, it is most useful in representing the dispersion of small data sets.

Independent identically distributed continuous random variables

For n independent and identically distributed continuous random variables X₁, X₂, ..., X_n with cumulative distribution function G(x) and probability density function g(x) the range of the X_i is the range of a sample of size n from a population with distribution function G(x).

Distribution

The range has cumulative distribution function

Gumbel notes that the "beauty of this formula is completely marred by the facts that, in general, we cannot express G(x + t) by G(x), and that the numerical integration is lengthy and tiresome."

Range (music)

In music, the range of a musical instrument is the distance from the lowest to the highest pitch it can play. For a singing voice, the equivalent is vocal range. The range of a musical part is the distance between its lowest and highest note.

The terms sounding range, written range, designated range, duration range and dynamic range have specific meanings.

The sounding range refers to the pitches produced by an instrument, while the written range refers to the compass (span) of notes written in the sheet music, where the part is sometimes transposed for convenience. A piccolo, for example, typically has a sounding range one octave higher than its written range. The designated range is the set of notes the player should or can achieve while playing. All instruments have a designated range, and all pitched instruments have a playing range. Timbre, dynamics, and duration ranges are interrelated and one may achieve registral range at the expense of timbre. The designated range is thus the range in which a player is expected to have comfortable control of all aspects.

Range (particle radiation)

In passing through matter, charged particles ionize and thus lose energy in many steps, until their energy is (almost) zero. The distance to this point is called the range of the particle. The range depends on the type of particle, on its initial energy and on the material through which it passes.

For example, if the ionising particle passing through the material is a positive ion like an alpha particle or proton, it will collide with atomic electrons in the material via Coulombic interaction. Since the mass of the proton or alpha particle is much greater than that of the electron, there will be no significant deviation from the radiation's incident path and very little kinetic energy will be lost in each collision. As such, it will take many successive collisions for such heavy ionising radiation to come to a halt within the stopping medium or material. Maximum energy loss will take place in a head-on collision with an electron.

Since large angle scattering is rare for positive ions, a range may be well defined for that radiation, depending on its energy and charge, as well as the ionisation energy of the stopping medium. Since the nature of such interactions is statistical, the number of collisions required to bring a radiation particle to rest within the medium will vary slightly with each particle (i.e., some may travel further and undergo less collisions than others). Hence, there will be a small variation in the range, known as straggling.