in this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of routh harvest stability analysis. the problem of determining the optimal harvestpolicy is solved by invoking pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...

although ‘allāma ḥillī and shaykh anṣārī have pointed out the feature of confirmation (iḥrāz) in some of the practical principles, its refinement has been one of mīrzā-yi nā’īnī’s initiatives. he divided the practical principles into “confirming and non-confirming. the confirming principle determines the practical duty of the religiously ccountable (mukallaf) in view of reality, such as: istiṣḥ...

In this paper we consider decision making under hierarchical imprecise uncertainty models and derive general algorithms to determine optimal actions. Numerical examples illustrate the proposed methods.

The formation of interparticle contacts and neck growth by grain boundary and surface di€usion during the sintering of rows of spherical particles is modeled. It is shown that rows of identical particles sinter into a metastable equilibrium con®guration whereas rows of particles with di€erent sizes evolve continuously by sintering followed by relatively slow coarsening. During coarsening, small...

The underlying idea of latent semantic analysis (LSA) (Deerwester et al. 1990) is that the aggregate of all of the contexts in which a given word does and does not appear provides a set of constraints that determines the similarity of meanings for words, and sets of words, to each other (Landauer et al. 1998). Thus, when two terms occur in contexts of similar meaning, even if they never occur i...

This Article is brought to you for free and open access by the Mathematics & Statistics at ODU Digital Commons. It has been accepted for inclusion in Mathematics & Statistics Faculty Publications by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. Repository Citation Hu, Fang Q., "A Numerical Study of Wave Propagation in a Confined...

In this paper, a method has been developed to construct the membership surfaces of row and column vectors and arithmetic operations of imprecise matrix. A matrix with imprecise elements would be called an imprecise matrix. The membership surface of imprecise vector has been already shown based on Randomness-Impreciseness Consistency Principle. The RandomnessImpreciseness Consistency Principle l...

We show here that the recent claim of a test of the Lense-Thirring effect with an error of 0.5 % using the Mars Global Surveyor is misleading and the quoted error is incorrect by a factor of at least ten thousand. Indeed, the simple error analysis of [1] neglects the role of some important systematic errors affecting the out-of-plane acceleration. The preliminary error analysis presented here s...

this review provides the basic principle and rational for roc analysis of rating and continuous diagnostic test results versus a gold standard. derived indexes of accuracy, in particular area under the curve (auc) has a meaningful interpretation for disease classification from healthy subjects. the methods of estimate of auc and its testing in single diagnostic test and also comparative studies...