Assume that you have a 10-Ohm and a 20-Ohm resistor in series, connected to a 1.5-Volt battery. You reconnect these resistors so they are wired in parallel. 1.How many paths can the electrons take in this series circuit? The eletrons can take 1 path in this series circuit. 2.How many paths can the electrons take in this parallel circuit?
The experimental value yielded a result of y = -100x + 10 and the theoretical yielded a -100 V/m. The percent error between the two values was 0.00%. The experiment showed that the theory of the relationship between equipotential lines and electric field lines hold true. Introduction: The objective of this lab was to analyze the nature of electric fields formed by two dipoles and two parallel line conductors using a digital voltmeter. The purpose is to test the theory that states equipotential lines always run perpendicular to electric field lines.
A polynomial has been completely factored only if all of its factors are linear or irreducible quadratic. Whenever polynomial are factored into only linear and irreducible quadratics, it has been factored completely since it can’t be factored further over real numbers. For example, when we have n degree polynomials as such function below: p(x) = axn + bxn-1 + ……k The Fundamental Theorem of Algebra will tell us that this n degree polynomials are going to have n-roots or in other way of seeing it, the n value of x will make the expression on the right to be equal to 0. 2. History of root finding The history of root finding dates back during the Islamic Golden Age.
Such problems are inherently harder to understand than linear programming (LP) problems. They may be convex or non-convex, and a NLP Solver should determine or approximate derivatives of the problem functions numerous times throughout the course of the optimization. Since a non-convex NLP may have numerous feasible regions and different locally optimal points inside such regions, there is no basic or quick approach to determine with sureness that the problem is infeasible, that the objective function is unbounded, or that an optimal solution is the "global optimum" over all feasible
The only possible explanation for this constant being such a necessity is due of the chance of a multiverse. This seems to be the most interesting of the arguments, because it means that it may have once been possible for not one, but many universes to appear without reason. While this may be true, nevertheless, it magnifies the problem of how to explain the creation of the universe. However,
The most fundamental limitation is that all fail to provide an account of why humans would be motivated in the directions placed. Why would humans prefer similarity, proximity and equality as a central point to attraction (Buss & Schmitt, 1993). The strength of the evolutionary perspective is supported by its argument on the most well-known theory, Darwins theory of natural selection. The theory emphasizes that men choose the most desirable partners to mate with so that they may be able to conserve and pass on the most desirable gene pool (Greyling, 2009). The second limitation for evolutionary theory emphasizes on the fact that, the stated theories of mating lack complexity and sophistication.
It is also important to note that there is no permanent solidity within reality and, in that light, there is no such thing as a fixed “ignorance” and that is why the block here really does requires an action, an activity, a personal decision to, an intention to ignore the ever present universal openness and its constantly changing evolving reality and to ignore one’s very own inherent awareness and compassion and whatever else that can be aware of and cared for. 35 The Challenge within stage One of the Creative Process
John Nash extended and generalised the pioneering results achieved by von Neumann and Morgenstern, for which he won the Nobel Prize for Economics in 1994. He is best known by the 'Nash Equilibrium', a situation that can be described as the stable outcome resulting from two or more players adopting strategies that they think will maximise their individual gains from a situation or 'game'. The work of von Neumann and Morgenstern led to the application of game theory in economics. The systematic mathematical form of game theory is owed to these two. Many economic situations are situations where players have to act competitively, or bargain, to achieve the best result for themselves.
Now, the introduced damage-plasticity model of concrete can be incorporated into the framework of large deformation plasticity. According to the algorithm of Box 1, if the trial stress state doesn’t lie within the elastic domain, the return mapping equations must be solved. To do so, these equations should be more simplified. By replacing from equation (20) into equation (7), it is concluded that: (29) As the flow potential function is an isotropic function of T, besides the assumption of elastic and plastic isotropy and considering the fact that the potential function doesn’t depend on the lode angle, the tensorial equation (29) can be reduced to the following two nonlinear equations: (30) (31) in which K and G are bulk and shear modulus, respectively. So equations (23), (30),(31) together with the equation Q=0 form the final nonlinear system of equations which must be solved for unknowns P, Q, T and G. With converged values of P and Q the principal stress components can be found with the following
“Those who are able to win must attack.” This theory is excerpted from Sun Zi’s Art of War: Disposition of Army. The theory follows by the explanation, “Attack when there is a superabundance of strength; Defend when there is insufficient strength.” Attack when it is able to win, defend is to avoid loss from the enemy. Since ancient times, people tend to attack others nation in order to enlarge their own nation. There is no win-win situation in the war, so people must well planned before attack others nation in order to get success in the war. Philosophy “Those who are able to win must attack” brings the explanation “Attack when there is a superabundance of strength; Defend when there is insufficient strength.” Attack when there is a superabundance