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218 Index<br />
tions, 34<br />
Trigonometric and hyperbolic formulas, 32<br />
Trigonometric and hyperbolic integrals,<br />
45<br />
Trigonometric derivatives, 41<br />
Trigonometric relationships, 32<br />
triple-α process, 182<br />
true anomaly [3.104], 71<br />
tube, see pipe<br />
Tully-Fisher relation [9.49], 180<br />
tunnelling (quantum mechanical), 94<br />
tunnelling probability [4.61], 94<br />
turns ratio (<strong>of</strong> transformer) [7.163], 149<br />
two-level system (microstates <strong>of</strong>) [5.107],<br />
114<br />
U<br />
U (Stokes parameter) [8.92], 171<br />
UBV magnitude system [9.36], 179<br />
umklapp processes [6.59], 131<br />
uncertainty relation<br />
energy-time [4.8], 90<br />
general [4.6], 90<br />
momentum-position [4.7], 90<br />
number-phase [4.9], 90<br />
underdamping [3.198], 78<br />
unified atomic mass unit, 5, 6<br />
uniform distribution [2.550], 58<br />
uniform to normal distribution transformation,<br />
58<br />
unitary matrix [2.88], 25<br />
units (conversion <strong>of</strong> SI to Gaussian), 135<br />
Units, constants and conversions, 3–18<br />
universal time [9.4], 177<br />
Uranus data, 176<br />
UTC [9.4], 177<br />
V<br />
V (Stokes parameter) [8.94], 171<br />
van der Waals equation [5.67], 111<br />
Van der Waals gas, 111<br />
van der Waals interaction [6.50], 131<br />
Van-Cittert Zernicke theorem [8.108], 172<br />
variance estimator [2.542], 57<br />
variations, calculus <strong>of</strong> [2.334], 42<br />
Vector algebra, 20<br />
Vector integral transformations, 23<br />
vector product [2.2], 20<br />
vector triple product [2.12], 20<br />
Vectors and matrices, 20<br />
velocity (dimensions), 17<br />
velocity distribution (Maxwell-Boltzmann)<br />
[5.84], 112<br />
velocity potential [3.296], 84<br />
Velocity transformations, 64<br />
Venus data, 176<br />
virial coefficients [5.65], 110<br />
Virial expansion, 110<br />
virial theorem [3.102], 71<br />
vis-viva equation [3.112], 71<br />
viscosity<br />
dimensions, 17<br />
from kinetic theory [5.97], 113<br />
kinematic [3.302], 85<br />
shear [3.299], 85<br />
viscous flow<br />
between cylinders [3.306], 85<br />
between plates [3.303], 85<br />
through a circular pipe [3.305], 85<br />
through an annular pipe [3.307], 85<br />
Viscous flow (incompressible), 85<br />
volt (unit), 4<br />
voltage<br />
across an inductor [7.146], 147<br />
bias [6.92], 134<br />
Hall [6.68], 132<br />
law (Kirchh<strong>of</strong>f’s) [7.162], 149<br />
standing wave ratio [7.180], 150<br />
thermal noise [5.141], 117<br />
transformation [7.164], 149<br />
volume<br />
dimensions, 17<br />
<strong>of</strong> cone [2.272], 37<br />
<strong>of</strong> cube, 38<br />
<strong>of</strong> cylinder [2.270], 37<br />
<strong>of</strong> dodecahedron, 38<br />
<strong>of</strong> ellipsoid [2.268], 37<br />
<strong>of</strong> icosahedron, 38<br />
<strong>of</strong> octahedron, 38<br />
<strong>of</strong> parallelepiped [2.10], 20<br />
<strong>of</strong> pyramid [2.272], 37<br />
<strong>of</strong> revolution [2.281], 39<br />
<strong>of</strong> sphere [2.264], 37<br />
<strong>of</strong> spherical cap [2.276], 37<br />
<strong>of</strong> tetrahedron, 38<br />
<strong>of</strong> torus [2.274], 37<br />
volume expansivity [5.19], 107<br />
volume strain [3.236], 80<br />
vorticity and Kelvin circulation [3.287],