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Reading a Roberts novel is like watching a game of tennis between two very good players: it is not so much the outcome of the match but the back-and-forth between commensurate opponents that elicits the spectator's pleasure.
The Euclidean algorithm was the first integer relation algorithm, which is a method for finding integer relations between commensurate real numbers.
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Instead, this state is naturally explained as the interference between two commensurate spin-density waves, a rare example of collinear double-Q magnetic order.
In Section 4, by exploiting fractional Lyapunov stability theory the coexistence of IS, AS, and IFSHPS between two commensurate fractional-order systems of different dimensions is proved.
The final scores in an index are then calibrated with cut-offs between scores commensurate with levels of service appropriate for rural and remote communities [ 17].
Internal resonance mechanisms between near-commensurate longitudinal and transverse modes of a taut spatial string are identified and studied using an asymptotic method, and the influence of material non-linearities on the resulting solutions is considered.
This funding indicates that the usual simplifying assumption [e.g., S.W. Shaw, P.J. Holmes, A periodically forced piecewise linear oscillator, Journal of Sound and Vibration 90 (1983) 129 155] that the times between impacts are commensurate with the period of the driving force does not always hold.
However, it is expected that the most common type of interface between cubic MgO nanocrystals will involve the commensurate contact between their (001) facets.
The results highlight the tradeoffs between achieving crystalline packing of the tail groups and forming commensurate bonding between the head groups and the underlying surface.
The data were then standardized and given a score between 0 and 100 commensurate with its location in a normal distribution.
These standardized rates are then assigned a score between zero and 100 commensurate with where they fall in a normal distribution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com