between their positive directions. Also called dot product, direct product, inner product. See vector product.
B,
read A dot B, and occasionally as (AB). If the vectors A and B have the components
Ax, Bx, and Ay, By, and Az,
Bz along rectangular Cartesian, x, y, and z axes, respectively,
then
The second is the duration of 9 192 631 770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium-133 atom (13th CGPM (1967), Resolution 1).
The previous is an excerpt (with the exception of the reference to "ephemeris second") from WWW version of the National Institute of Standards and Technology: Physics Laboratory's International System of Units (SI)
x +
)
is the angular frequency; x is the
independent variable; and
is the phase of the oscillation.
)
for a plane or spherical free wave having a velocity of propagation c, the sound energy flux through the area S corresponding to an effective sound pressure p is
= the angle between the direction of propagation of the sound and the normal to the area S.
2 is the Laplace operator,
is the velocity potential, c is the speed of sound, and t
is the time; the density variations and velocities are small. As so defined,
this includes waves outside the frequency limits of human hearing, which limits
customarily define sound. Also called acoustic wave, sonic wave.
See ultrasonic, infrasonic,
pressure wave.
for the first satellite of 1958. When more than one object was put in orbit by a single launch vehicle, each object was numbered, as 1961o2. (Space probes were not included in this system until 1960). Beginning January 1, 1963, arabic numerals supplanted Greek letters in the scientific designations of all spacecraft with a lifetime of more than 90 minutes. Thus, the first satellite launched in 1963 was 1963-1, the last was 1963-55. When more than one component is put in orbit, alphabetical suffixes are added to the designations, as 1963-4A. The letter A usually designates the component carrying the principle scientific payload; B, C, etc., are used as needed for any subsidiary payloads and then for inert components in order of maximum brightness. The designation system was promulgated formally in the COSPAR Guide to Rocket and Satellite Information and Data Exchange. The Guide has been published in full in COSPAR Information Bulletin No. 9, July 1962, and in IGY Bulletin No. 61, July 1962. Table XIV [not reproduced] is a listing of scientific satellites and space probes launched through 1964 and is reprinted from the IG Bulletin (International Geophysics Bulletin) published by the National Academy of Sciences.
R = cp - cv
in pounds per second:
is the ratio of
specific heat of air at constant pressure to that a constant volume, R
* is the universal gas constant, M0 is the
mean molecular weight of air at sea level, and TM
is the molecular scale temperature.
)
v where h is the heat transfer coefficient, cp is the specific heat,
is the density, and v is the flow velocity.
Also, the letters, P, W, Q, R, N, and S are used to designate comparatively rare types of stars which do not fall into the main series.
). A universal constant of proportionality between the radiant emittance of a blackbody and the fourth power of the body's absolute temperature; 5.6697 X 10E-5 erg centimeter squared second degrees KE4.
T4
is the Stefan-Boltzmann constant; and T is the absolute temperature of the blackbody. Also called Stefan law.
steradians in a sphere.
ij. It has nine components, one for each of the coordinate faces of an imaginary element upon which the stress acts ( j = x, y, z ) and for each direction in which the stress is directed ( i = x, y, z ).