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In order to simplify the trigonometric terms in underactuated AUV motion functions, quaternion theory is applied to transform the function to develop a continuous time-varying controller.
Based on the properties of the generalized two-dimensional differential transform, the function u ( x, y ) can be represented as u ( x, y ) = ∑ k = 0 ∞ F α ( k ) ( x − x 0 ) k α ∑ h = 0 ∞ G β ( h ) ( y − y 0 ) h β = ∑ k = 0 ∞ ∑ h = 0 ∞ U α β ( k, h ) ( x − x 0 ) k α ( y − y 0 ) h β, where 0 < α, β ≤ 1, U α β ( k, h ) = F α ( k ) G β ( h ) is called the spectrum of u ( x, y ).
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But universal credit is no longer, if it ever was, a new system which will transform the functioning of the welfare system.
Humans' derivation of relations among stimuli can transform the functions of stimuli that participate in the relation.
Its value lies in providing a direct analysis of the specific procedures that influence relational responding and thereby transform the functions of stimuli.
Yet this will transform the role, function and capacity of the state.
Rudalevige also believes Trump has transformed the function of executive actions.
In the modern era, conceptual innovators have radically transformed the function and role of style in the arts.
Initiated to reveal what had been presumed to be there already, once established, it provided a basis for significantly changing, if not eventually transforming, the functioning of the enterprise.
The result of transforming the mapping function is a resampled grid.
At the continuous wavelet transform, the observed function is multiplied by a group of shifted and scaled wavelet functions.
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