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    Facts about Fiber by Jennifer Hillan, R. Elaine Turner, Wendy J. Dahl

    Published 2011-01-01
    “…FCS8793/FY849: Facts about Fiber (ufl.edu) …”
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  15. 95

    Facts about Fiber by Jennifer Hillan, R. Elaine Turner, Wendy J. Dahl

    Published 2011-01-01
    “…FCS8793/FY849: Facts about Fiber (ufl.edu) …”
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    Article
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    A group theoretic approach to generalized harmonic vibrations in a one dimensional lattice by J. N. Boyd, P. N. Raychowdhury

    Published 1986-01-01
    “…By taking the number of vibrating point masses to be very large, we obtain the natural frequencies of vibration for any arbitrary, but symmetric, harmonic coupling of the masses in a one dimensional lattice. The result is a cosine series for the square of the frequency, fj2=1π2∑ℓ=0sa(ℓ)cosℓβ where 0<β=2πjN≤2π, j∈{1,2,3,…,N} and a(ℓ) depends upon the attractive force constant between the j-th and (j+ℓ)-th masses. …”
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