An Introduction to Mathematical PhysicsLongmans, Green, and Company, 1912 - 199 Seiten |
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A₁ adiabatic angle axis B₁ boundary conditions Carnot cycle centre circuit component constant coordinates cross-section cycle cylinder denote density differential direction displacement distance dx dy dz electric intensity electromagnetic electromotive force element equal equation expression external Əx² Əy² field flow fluid function Gauss's theorem given Green's theorem Hence indicator diagram infinite integral of normal irrotational isothermal Joule's law kinetic energy length line integral liquid magnetic intensity motion normal force obtain particle plane Poisson's equation pressure quantity of heat resultant attraction shell solution stream lines substance substituting suppose surface integral T₁ temperature term theorem unit mass V₁ velocity potential vibrations vortex wave wire zero ΘΩ ди ди др дф дх ду Эф Эх
Beliebte Passagen
Seite 196 - It is impossible by means of inanimate material agency to derive mechanical effect from any portion of matter by cooling it below the temperature of the coldest of the surrounding objects.
Seite 168 - It is impossible for a self-acting machine, unaided by any external agency, to convey heat from one body to another at a higher temperature ; or heat cannot of itself (that is, without compensation) pass from a colder to a warmer body.
Seite 132 - ... is the ratio of the specific heat at constant pressure to the specific heat at constant volume, is a constant.
Seite 1 - Newton's law of gravitation states that any two bodies attract each other with a force proportional to the product of their masses and inversely proportional to the square of the distance between them...
Seite 196 - It is impossible, by the unaided action of natural processes, to transform any part of the heat of a body into mechanical work, except by allowing heat to pass from that body into another at a lower temperature.
Seite 59 - Stokes' theorem. The line integral of the tangential component of a vector taken round any closed curve is equal to the surface integral of the normal component of the curl of the same vector taken over any surface bounded by the curve...
Seite 142 - A unit pole is that which repels another similar and equal pole at a distance of one centimetre with a force of one dyne.
Seite 139 - Every linear conductor carrying a current is equivalent to a simple magnetic shell, the bounding edge of which coincides with the conductor, and the moment of which per unit of area, that is, the strength of the shell, is proportional to the strength of the current.
Seite 15 - Denoting by /, m, n the direction cosines of the normal to the surface at the point (x...
Seite 141 - That is, if we set up an area of 1 sq. cm. at right angles to the r axis, u gives the quantity of electricity measured in electrostatic units which flows through it in one second. Draw any closed circuit in this medium. Then, by Stokes' theorem, The expression on the right of (9) is the surface integral of the normal component of the curl of H taken over any surface bounded by the circuit. The expression on the left is the line integral of the tangential component of H taken round the circuit. This...