Via a generalized time weighted philosophy, we first consider briefly the development of integral operators in time of Type 1 classification and do not pertain to LMS methods. This can be accomplished both with and without considering the notion of introducing transformation to modal basis (that is introducing modal transformation and requiring an eigenproblem to be associated in the development of the time discretized operators). And, emanating from the single-field or the two-field forms of the dynamic equations of motion, the subsequent developments are based on the unique selection of the weighted time fields as the theoretical solution of the adjoint operator of the reduced form of the semi-discretized dynamic system set equal to zero as the associated integration factor or the Greens' function, respectively. The applicability of Type 1 classification of time discretized operators for computational purposes is also addressed.
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