Abstract. This paper presents the cooperation between two searchers at the origin to seek for a random walk moving target on the line. Any information of the target position is not available to the searchers all the time. Rather than finding the conditions that make the expected value of the first meeting time between one of the searchers and the target is finite, we show the existence of the optimal search strategy which minimizes this first meeting time. The effectiveness of this model is illustrated using numerical example.
Mathematics Subject Classification: 37A50, 60K30, 90B40.
Keywords: Search theory, Linear search, Random walk. 1.Introduction The prime focus of searching for a randomly moving particle on the real line is to
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Recently, Mohamed et al. [15] studied this problem when the target moves on one of n-intersected real lines in which any information of the target position is not available to the searchers all the time. Mohamed et al. formulate a search model and find the conditions under which the expected value of the first meeting time between one of the searchers and the target is finite. Furthermore, they showed the existence of the optimal search plan that minimizes the expected value of the first meeting time and found it. More recently, El-Hadidy [16] considered a search problem for a d-dimensional Brownian target that moves randomly on d-space. He found the conditions that make the expected value of the first meeting time between one of the searchers and the target is finite. In addition, he showed the existence of the optimal search plan that minimizes the expected value of this first meeting time. A comprehensive discussion of many aspects of search problem is found in El-Hadidy et al. [18-30]. Finding a Random walk moving target inside a cylinder has numerous applications in physics. One of the famous search methods, is the coordinated linear search method which consider two unit-speed searchers starting at the origin point seek for a random walk target. A target is assumed to move randomly on a line according to a
In struggling for civil rights, one last major event that was seen in Indian activism was the Longest Walk. The Longest Walk was a march in which hundreds of Indian activists and supporters marched from San Francisco to Washington D.C. to draw attention to Indian concerns. They wanted to prevent the passage of eleven bills that threatened Indian rights as well as raise awareness on Indian issues. Drawing from the ideas of African American activists, AIM leader Dennis Banks proposed a march from San Francisco to Washington. Many accepted his idea including those who were non-Native Americans. The march payed tribute to the Long Walk of 1864, in which thousands of Apache and Navajo Indians were forced to walk to their reservations. The march
In this problem I am looking at strategies for a game called What’s on Back?
A search occurs when the police or other government agency intrudes into a place where a person has a
A Closer Walk is a film made by Robert Bilheimer, and it looks into the effects of AIDS on all those infected by the virus of HIV/AIDs all throughout the world. He focuses on those who are more likely to become infected by the virus woman, children, individuals in Africa and India and then he also talks about drug users in Ukraine and how more and more individuals are getting sick because they are sharing needles. The portion I found most intriguing was how these woman and children who are sick are the poorest of the poor are they are a minority such as the African American population in America. They cannot receive treatment because no one will give it to them unless someone else in an industrialized country pays for the treatment. Olivia
Discuss each of the elements (or prongs) of what must occur to constitute a “search?” What Constitutional protection offers of
This observance is what Werner Heisenberg refereed to as the principle of uncertainty, which commonly became known as Heisenberg’s Uncertainty Principle. We have the illusion that position and momentum can co-exist in large objects whose inherent action is huge compared to subatomic particles.
We calculated the number of iterations $\tau$ needed to achieve $|f^{\tau}(x) - f^{\tau}({x^\prime})| > 10^{-1}$ when given two initial conditions $x_0$ and $x^{\prime} =x_0 + \epsilon$ separated apart $\epsilon = 10^{-d}$. Here, the exponent $d$ represents the number of digits of precision $d = \lfloor \log |x_0 - x^{\prime}| \rfloor$. Fig.~\ref{fig:precisiondelta} depicts a log-log plot of data obtained from several average random initial conditions and its initial distance $\epsilon$ for different digits precision $d=\{10, 20, \ldots, 290\}$.
In a figure all ways from S to D incorporate hosts that are outside the request zone. Accordingly, there is no surety that a way can be discovered comprising just of the hosts in a picked request zone. In this manner, if a route is not found inside of a suitable timeout period, our convention Wows S to start another route disclosure with an extended request zone – in our simulations, the extended zone incorporates the whole system space. in this case the inactivity in deciding the route to D be longer.
We simply represent all the nodes by $D_i$ for $ 1\le i \le D_\mathcal{D}$ and $Y_k$ refer as the transmission probability gain of the node $D_i$ and $H$ is defined as the total weight. Given the contact rates and the transmission probability gain, $Y_k$ for $ 1\le i \le \mathcal{D}$, and $H$ can readily be computed. As $Y_k$ are continuous-valued real numbers, we need to quantize these transmission probability gain to run the dynamic optimization procedure i.e.,
P4. Describe a typical method of searching people conducted by a security worker in the public services.
Eppstein, D. (n.d.). Breadth first search and depth first search. Retrieved April 26, 2016, from https://www.ics.uci.edu/~eppstein/161/960215.html
The Heisenberg Uncertainty Principle states that no particle can have “well-defined” clear values for both position and speed; consequently, no particle can be stationary because any stationary particle would have a clearly defined speed value of zero. In the analogy presented by Gilmore, electrons are able to obtain loans of energy from their local bank, allowing them to exist. The energy they are loaned becomes their rest mass energy. This principle, perhaps, is the most difficult to compare to the macro world. The idea that there exists a quantity or measurement--for lack of a better word--that cannot be measured is difficult to reconcile with the average human mind. Though there exist equal realms of ambiguity and no definite in the macro world, such as justice and legality, or emotion and rationality (as provided by Gilmore), the notion of an immeasurable quantity is one many cannot grasp. This places the Heisenberg uncertainty Principle most at odds with the macro world, as in the real world, humans go about their existence with definite: For example, the bus will arrive to take a man to work at 09:05; a day is 24 hours long, America gained its independence in the year 1776, and there are 8 periods in our school day. That is to say, humans take solace in the definite of numbers--as a source of definite when all else is seemingly variable and perhaps even more so when everything
Searching means the act of checking others belongings as a part of investigation or something assuming
I do believe that this exception should be extended to warrantless searches when an officer has a good-faith belief that probable cause exists. In the United States v. Leon, the officers were acting in good faith based off of a confidential informant’s information as well as their own observations during their surveillance (FindLaw, 2017). I feel that this should apply towards warrantless searches as well. Even though the motor vehicle exception came about during the prohibition era, I feel that it still applies today. In Carroll v. United States, the Court ruled that an officer can search a vehicle without a warrant if “made upon probable cause, i.e., upon a belief, reasonably arising out of circumstances known to the officer” (Justia,
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