## Treatise on materials science and technology, Volume 1 |

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Page 153

Once Fn are known, the distribution

). Thus we see that a measurement of E(9) can be used to derive the exact

distribution

very ...

Once Fn are known, the distribution

**function**F(6) can be constructed from Eq. (99). Thus we see that a measurement of E(9) can be used to derive the exact

distribution

**function**of the fibers in the composite. As the Fourier coefficients arevery ...

Page 267

The Fundamental Relation Governing Size Distribution Evolution Let the size

distribution of particles at any time t be expressed in terms of the fractional

frequency

in the ...

The Fundamental Relation Governing Size Distribution Evolution Let the size

distribution of particles at any time t be expressed in terms of the fractional

frequency

**function**f(R,t), such that f(R,t)dR is the fraction of particles in the systemin the ...

Page 269

The size distribution may be reported as a fractional or number frequency

be found most useful to plot the size distribution in terms of the Ny> (R, t)

...

The size distribution may be reported as a fractional or number frequency

**function**, or as a cumulative distribution**function**. In the present application it willbe found most useful to plot the size distribution in terms of the Ny> (R, t)

**function**...

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activation energy alloys angle annealing Argon Arsenault axis binding energy bond calculated carbon chemical vapor deposition crystal curvature curve CVD tungsten Debye decrease deposition determined dipole displacement distribution effect elastic constants elastic waves electron equation equilibrium experimental Fe-Mn-N Fe-N fibers force constants fracture free energy function geometric given grain boundaries group velocities growth path envelope Hasson hoop stress impingement increase interface internal friction interstitial ions kcal/mole kinetics laminate lattice layer manganese measured mechanism metal microstructural change molecules neighbors niobium nitrogen nitrogen atoms nucleation obtained oxygen parameters particles peak broadening peak height phase potential propagation reinforcing elements relaxation processes rhenium s-i interaction s-i pair scavenging Section shear shown in Fig Snoek peak solid specimen structure substitutional addition substitutional solute substrate surface tensile ternary alloys tetragonal titanium transverse wave triple line tungsten values vanadium volume fraction xy plane yield stress zirconium