Marshmallow Launch
... In part one, using the materials provided, you will have ten minutes to create and test a mechanism to launch mini marshmallows into a bucket. In part two, you will have five minutes to launch up to 20 marshmallows into the bucket. During part one, the team may decide where to place the bucket and w ...
... In part one, using the materials provided, you will have ten minutes to create and test a mechanism to launch mini marshmallows into a bucket. In part two, you will have five minutes to launch up to 20 marshmallows into the bucket. During part one, the team may decide where to place the bucket and w ...
The Summation Package Sigma: Underlying Principles - RISC-Linz
... In the first part of this article we shall discuss relevant techniques of symbolic summation, and we shall explain how these ideas can be applied in the difference field setting of ΠΣ-fields and in difference ring extensions like (−1)n ; see [Sch01, Sch04b]. More precisely, this means that sequences ...
... In the first part of this article we shall discuss relevant techniques of symbolic summation, and we shall explain how these ideas can be applied in the difference field setting of ΠΣ-fields and in difference ring extensions like (−1)n ; see [Sch01, Sch04b]. More precisely, this means that sequences ...
Reducing the Number of Decision Variables in Ready Mixed
... In this section the introduced mathematical models are discussed although we will not consider the implemented heuristic solution for each model. Only a few mathematical models have been introduced for the RMC dispatching problem and most of these were developed in the past five years. From a genera ...
... In this section the introduced mathematical models are discussed although we will not consider the implemented heuristic solution for each model. Only a few mathematical models have been introduced for the RMC dispatching problem and most of these were developed in the past five years. From a genera ...
Computational Experiments for the Problem of
... for c-arc-colored digraphs can be used for scenarios creation for self-learning of intelligent mobile robots. Note that the problem of Hamiltonian path with fixed number of color repetitions for c-arc-colored digraphs is NP-complete. Encoding different hard problems as instances of SAT and solving the ...
... for c-arc-colored digraphs can be used for scenarios creation for self-learning of intelligent mobile robots. Note that the problem of Hamiltonian path with fixed number of color repetitions for c-arc-colored digraphs is NP-complete. Encoding different hard problems as instances of SAT and solving the ...
Ho Control of System With I/O Delay: A Review of
... The first is the use abstract evolution models for the delay system [30, 11, 5, 13, 77, 6, 7, 60, 12, 75]. A natural state in the current setting would be f (t) = (x(t), ut ) ∈ M2 := Rn × L2 [−τ, 0], where ut (s) = u(t + s), s ∈ [−τ, 0], is the relevant control history at the time t. Abstract state ...
... The first is the use abstract evolution models for the delay system [30, 11, 5, 13, 77, 6, 7, 60, 12, 75]. A natural state in the current setting would be f (t) = (x(t), ut ) ∈ M2 := Rn × L2 [−τ, 0], where ut (s) = u(t + s), s ∈ [−τ, 0], is the relevant control history at the time t. Abstract state ...
Numerical Solution of the Hamilton-Jacobi
... infinite negative wealth (bankruptcy). However, some analytic solutions have been developed for handling specific constraints: no stock shorting (Li et al., 2002) (but shorting the bond is still allowed) and the no bankruptcy case (Bielecki et al., 2005) (but again allowing for shorting the bond). A ...
... infinite negative wealth (bankruptcy). However, some analytic solutions have been developed for handling specific constraints: no stock shorting (Li et al., 2002) (but shorting the bond is still allowed) and the no bankruptcy case (Bielecki et al., 2005) (but again allowing for shorting the bond). A ...
Module 5: A Synthesis of Modeling with Equations and Functions
... degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions (exemplified in Topics C and F). MP.7 Look for ...
... degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions (exemplified in Topics C and F). MP.7 Look for ...
Multiple-criteria decision analysis
Multiple-criteria decision-making or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria that need to be evaluated in making decisions. Cost or price is usually one of the main criteria. Some measure of quality is typically another criterion that is in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider. It is unusual that the cheapest car is the most comfortable and the safest one. In portfolio management, we are interested in getting high returns but at the same time reducing our risks. Again, the stocks that have the potential of bringing high returns typically also carry high risks of losing money. In a service industry, customer satisfaction and the cost of providing service are two conflicting criteria that would be useful to consider.In our daily lives, we usually weigh multiple criteria implicitly and we may be comfortable with the consequences of such decisions that are made based on only intuition. On the other hand, when stakes are high, it is important to properly structure the problem and explicitly evaluate multiple criteria. In making the decision of whether to build a nuclear power plant or not, and where to build it, there are not only very complex issues involving multiple criteria, but there are also multiple parties who are deeply affected from the consequences.Structuring complex problems well and considering multiple criteria explicitly leads to more informed and better decisions. There have been important advances in this field since the start of the modern multiple-criteria decision-making discipline in the early 1960s. A variety of approaches and methods, many implemented by specialized decision-making software, have been developed for their application in an array of disciplines, ranging from politics and business to the environment and energy.