jounce

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出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2015/09/19 20:51:55」(JST)

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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

: constant jounce,

: initial jerk,

: final jerk,

: initial acceleration,

: final acceleration,

: initial velocity,

: final velocity,

: initial position,

: final position,

: time between initial and final states.

The notation (used in ^[1]) 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"^[1]^[2] 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.^[2] Despite this, physicists^[who?] have proposed other names such as "Lock", "Drop", "Shot" and "Put" for higher-ordered derivatives.

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.

References

^ ^a ^b Visser, Matt (2004-07-24). "Jerk, Snap, and the Cosmological Equation of State". Classical and Quantum Gravity 21 (11): 2603–2616. arXiv:gr-qc/0309109. Bibcode:2004CQGra..21.2603V. doi:10.1088/0264-9381/21/11/006.
^ ^a ^b Gragert, Stephanie (November 1998). "What is the term used for the third derivative of position?". Usenet Physics and Relativity FAQ. Math Dept., University of California, Riverside. Retrieved 2008-03-12.

External links

Cosmography: cosmology without the Einstein equations, Matt Visser, School of Mathematics, Statistics and Computer Science, Victoria University of Wellington, 2004.
What is the term used for the third derivative of position?

This classical mechanics-related article is a stub. You can help Wikipedia by expanding it.

English Journal

TWEAK/Fn14 Signaling Involvement in the Pathogenesis of Cutaneous Disease in the MRL/lpr Model of Spontaneous Lupus.

Doerner JL1, Wen J1, Xia Y1, Paz KB2, Schairer D2, Wu L3, Chalmers SA1, Izmirly P4, Michaelson JS5, Burkly LC3, Friedman AJ2, Putterman C6.
The Journal of investigative dermatology.J Invest Dermatol.2015 Aug;135(8):1986-95. doi: 10.1038/jid.2015.124. Epub 2015 Mar 31.
Tumor necrosis factor (TNF)-like weak inducer of apoptosis (TWEAK, TNFSF12) and its sole receptor Fn14, belonging to the TNF ligand and receptor superfamilies respectively, are involved in cell survival and cytokine production. The role of TWEAK/Fn14 interactions in the pathogenesis of cutaneous lup
PMID 25826425

TNF-like weak inducer of apoptosis promotes blood brain barrier disruption and increases neuronal cell death in MRL/lpr mice.

Wen J1, Doerner J1, Weidenheim K2, Xia Y1, Stock A1, Michaelson JS3, Baruch K4, Deczkowska A4, Gulinello M5, Schwartz M4, Burkly LC6, Putterman C7.
Journal of autoimmunity.J Autoimmun.2015 Jun;60:40-50. doi: 10.1016/j.jaut.2015.03.005. Epub 2015 Apr 22.
Neuropsychiatric disease is one of the most common manifestations of human systemic lupus erythematosus, but the mechanisms remain poorly understood. In human brain microvascular endothelial cells in vitro, TNF-like weak inducer of apoptosis (TWEAK) decreases tight junction ZO-1 expression and incre
PMID 25911200

Deficiency of fibroblast growth factor-inducible 14 (Fn14) preserves the filtration barrier and ameliorates lupus nephritis.

Xia Y1, Herlitz LC2, Gindea S3, Wen J4, Pawar RD1, Misharin A5, Perlman H5, Wu L6, Wu P6, Michaelson JS7, Burkly LC6, Putterman C8.
Journal of the American Society of Nephrology : JASN.J Am Soc Nephrol.2015 May;26(5):1053-70. doi: 10.1681/ASN.2014030233. Epub 2014 Sep 30.
TNF ligand superfamily member 12, also known as TNF-related weak inducer of apoptosis (TWEAK), acts through its receptor, fibroblast growth factor-inducible 14 (Fn14), to mediate several key pathologic processes involved in tissue injury relating to lupus nephritis. To explore the potential for rena
PMID 25270074

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[MVisser1-1] Visser, Matt (2004-07-24). "Jerk, Snap, and the Cosmological Equation of State". Classical and Quantum Gravity 21 (11): 2603–2616. arXiv:gr-qc/0309109. Bibcode:2004CQGra..21.2603V. doi:10.1088/0264-9381/21/11/006.

[PhysicsFAQ-2] Gragert, Stephanie (November 1998). "What is the term used for the third derivative of position?". Usenet Physics and Relativity FAQ. Math Dept., University of California, Riverside. Retrieved 2008-03-12.

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