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We also prove corresponding existence results using bifurcation theory and the continuation method.
Equations for calculating surface wave velocities of propagation and corresponding existence conditions are obtained in closed form.
Remark 3.1 For the special case f ( t, x ) ≡ 1, we can find the corresponding existence results in Yu and Jiang (see [21]).
In Section 3, corresponding existence results are formulated for special cases of causal operators, using the main result of Section 2.
The dependence of the horizontal roll-over shape length and hindfoot/forefoot gains on the actual stance leg angular velocity ˙θs and angular displacement (θs) values along with the corresponding existence of critical values has also been demonstrated.
Update step: In this step, we deal with the received observations y k = (y 1,k ⋯ y M,k ) one after another by using the Bayesian rule to obtain individual update distributions and their corresponding existence probabilities.
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If, on the one hand, the phenomenologist leaves the "natural attitude" and brackets his corresponding existence-belief, he cannot at the same time perform the perceptual experience he wishes to investigate.
Because Plantinga (1974, 44 5) accepts (A)–(C) and postulates, for each of his worlds w, the existence of a corresponding world story (which he calls the book on w), this paradox arises for him as well.
Vaidman 2012 believes that to derive the Probability Postulate, at least some connection between the mathematical formalism of quantum mechanics and probability has to be postulated and points out that it is enough to assume that the probability of an outcome of a quantum measurement depends only on the measure of existence of the corresponding world.
Many cultures have recognized some incorporeal principle of human life or existence corresponding to the soul, and many have attributed souls to all living things.
The dependence of catalyst effectiveness on the Thiele modulus is shown to assume one of several different forms corresponding to the existence of different rate-controlling regimes.
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