Two types of mutually annihilating particles

1983 ◽  
Vol 15 (1) ◽  
pp. 133-148
Author(s):  
Richard Holley

We consider two types of particles performing simple random walks on the integers. When two particles of different types collide they are immediately annihilated. All particles of one type are started off to the left of the origin, and all particles of the other type are started off to the right of the origin. We determine the asymptotic rate of annihilations and the fluctuations, around this rate, of the numbers annihilated at large times.

1983 ◽  
Vol 15 (01) ◽  
pp. 133-148
Author(s):  
Richard Holley

We consider two types of particles performing simple random walks on the integers. When two particles of different types collide they are immediately annihilated. All particles of one type are started off to the left of the origin, and all particles of the other type are started off to the right of the origin. We determine the asymptotic rate of annihilations and the fluctuations, around this rate, of the numbers annihilated at large times.


1999 ◽  
Vol 5 (4) ◽  
pp. 359-386
Author(s):  
R. Wolfseher

Abstract Restoration of concrete structures implies repair of damage and a surface treatment which prevents future damage of the load bearing structure in case it is renewed in time. Depending on the performance of the protective surface treatment the substrate has to be prepared more or less carefully. On the one hand it is worth while to apply an inexpensive solution appropriate for a given situation and on the other hand to predict the optimal time for a necessary intervention. Different types of surface treatments can be attributed to discrete stages of expenses. In this contribution it is shown that based on a reliable analysis of the actual state, the cheapest type of restoration can be found in an unambiguous way and executed at the right moment. At the end examples are given. The necessary investment can be optimized. Finally, it will be underlined that money spent for quality control during the construction process can be considered to be an investment yielding 17% interest.


2021 ◽  
Vol 10 (1) ◽  
Author(s):  
Yu Tian ◽  
Sebastian Lautz ◽  
Alisdair O. G. Wallis ◽  
Renaud Lambiotte

AbstractThe complementarity and substitutability between products are essential concepts in retail and marketing. Qualitatively, two products are said to be substitutable if a customer can replace one product by the other, while they are complementary if they tend to be bought together. In this article, we take a network perspective to help automatically identify complements and substitutes from sales transaction data. Starting from a bipartite product-purchase network representation, with both transaction nodes and product nodes, we develop appropriate null models to infer significant relations, either complements or substitutes, between products, and design measures based on random walks to quantify their importance. The resulting unipartite networks between products are then analysed with community detection methods, in order to find groups of similar products for the different types of relationships. The results are validated by combining observations from a real-world basket dataset with the existing product hierarchy, as well as a large-scale flavour compound and recipe dataset.


2017 ◽  
Vol 65 ◽  
pp. 171-175
Author(s):  
Morten Lunde Nielsen ◽  
Arne Thorshøj Nielsen Nielsen

Two pygidia of the trilobite Toxochasmops from the Upper Ordovician (Katian) of the Oslo Region, Norway, display different types of abnormalities. A juvenile pygidium, treated in open nomenclature as Toxochasmops sp. A, has a partially developed axial ring restricted to the right side of the axis which is interpreted as a teratology. The other pygidium, treated in open nomenclature as Toxochasmops sp. B, shows a local fusion of two pleural ribs with a poorly developed furrow crossing the fused area; this may either represent a teratology or regeneration after an injury. In the latter case, it could represent a rare example of metaplasia in trilobites with replacement of a pleural furrow by an interpleural furrow during regeneration. The posterior position of the partially developed axial rings, without corresponding pleural ribs, indicates that the posterior part of the axis possibly represents non-functional somites, and abnormalities in this part probably did not significantly affect the vital organs of the trilobite.


2010 ◽  
Vol 47 (02) ◽  
pp. 562-571
Author(s):  
Elcio Lebensztayn ◽  
Fábio Prates Machado ◽  
Mauricio Zuluaga Martinez

We consider a random walks system on ℤ in which each active particle performs a nearest-neighbor random walk and activates all inactive particles it encounters. The movement of an active particle stops when it reaches a certain number of jumps without activating any particle. We prove that if the process relies on efficient particles (i.e. those particles with a small probability of jumping to the left) being placed strategically on ℤ, then it might survive, having active particles at any time with positive probability. On the other hand, we may construct a process that dies out eventually almost surely, even if it relies on efficient particles. That is, we discuss what happens if particles are initially placed very far away from each other or if their probability of jumping to the right tends to 1 but not fast enough.


2010 ◽  
Vol 47 (2) ◽  
pp. 562-571 ◽  
Author(s):  
Elcio Lebensztayn ◽  
Fábio Prates Machado ◽  
Mauricio Zuluaga Martinez

We consider a random walks system on ℤ in which each active particle performs a nearest-neighbor random walk and activates all inactive particles it encounters. The movement of an active particle stops when it reaches a certain number of jumps without activating any particle. We prove that if the process relies on efficient particles (i.e. those particles with a small probability of jumping to the left) being placed strategically on ℤ, then it might survive, having active particles at any time with positive probability. On the other hand, we may construct a process that dies out eventually almost surely, even if it relies on efficient particles. That is, we discuss what happens if particles are initially placed very far away from each other or if their probability of jumping to the right tends to 1 but not fast enough.


2018 ◽  
Vol 7 (2) ◽  
pp. 90-94
Author(s):  
Lubov Alexandrovna Novikova ◽  
Sergey Vladimirovich Saksonov ◽  
Vladimir Mikhailovich Vasjukov ◽  
Sergey Evgenyevich Gorlov ◽  
Stepan Aleksandrovich Senator ◽  
...  

The nature monument of regional value Gurev ravine is located 1 km North-West village Klimovka of Shigonsky District in the Samara Region. The southern and South-Western part is occupied by the ravine, the mouth opening in the Kuibyshev reservoir. The right slope is less steep and is overgrown with deciduous forest, and the left slope is very steep and heavily nude, known as Gusikha mountain. At the mouth of the ravine as well as along the indigenous coast landslide terraces have been formed. We have described calciphyte flora and vegetation of the left slope, Guriev ravine (Gusikha mountain). We have made 5 descriptions, one (description № 14) is located at the bottom of this mountain and the other ones are at the top (descriptions № 15-18). All descriptions are made on very steep slopes (angle of 40-50) of South-Eastern exposure. The described area is dominated by subshrub vegetation with dominance of different species: Artemisia salsoloides (from 1,0 to 30,0%), Ephedra distachya (from 0 to 30,0%), Bassia prostrata (from 0 to 15,0%), Thymus dubjanskyi (from 0 to 15,0%), Onosma volgensis (from 0 to 15,0%), Anthemis trotzkiana (from 0 to 5,0%); less common Linum uralense (from 0 to 1,0%). Artemisia salsoloides (descriptions № 14, 16) occupy the lower and middle parts of the steep slopes of Gusikha mountain. They belong to two different associations. At the bottom of the slopes there are Artemisia salsoloides + Bassia prostrata + Gypsophila juzepczukii , in the middle - Artemisia salsoloides + Onosma volgensis . At the top of steep slopes there are Bassia prostrata , Ephedra distachya and Thymus dubjanskyi (descriptions № 15, 17, 18): Bassia prostrata + Artemisia salsoloides + Stipa capillata , Ephedra distachya + Artemisia salsoloides + Bassia prostrate and Thymus dubjanskyi + Anthemis trotzkiana + Gypsophila juzepczukii Association. Different types of Stipa capillata gradually implemented into the community as well as Gypsophila juzepczukii or Artemisia salsoloides , Anthemis trotzkiana , which contributes to the resumption of these particularly rare for the Samara Region species.


2020 ◽  
Vol 11 (SPL3) ◽  
pp. 1861-1868
Author(s):  
Bianca Princeton ◽  
Abilasha R ◽  
Preetha S

Oral hygiene is defined as the practice of keeping the mouth clean and healthy, by brushing and flossing to prevent the occurrence of any gum diseases like periodontitis or gingivitis. The main aim of oral health hygiene is to prevent the buildup of plaque, which is defined as a sticky film of bacteria and food formed on the teeth. The coastal guard is an official who is employed to watch the sea near a coast for ships that are in danger or involved with illegal activities. Coastal guards have high possibilities of being affected by mesothelioma or lung cancer due to asbestos exposure. So, a questionnaire consisting of 20 questions was created and circulated among a hundred participants who were coastal guards, through Google forms. The responses were recorded and tabulated in the form of bar graphs. Out of a hundred participants, 52.4% were not aware of the fact that coastal guards have high chances of developing lung cancer and Mesothelioma. 53.7% were aware of the other oral manifestations of lung cancer other than bleeding gums. Majority of the coastal guards feel that they are given enough information about dental hygiene protocols. Hence, to conclude, oral hygiene habits have to be elaborated using various tools in the right manner to ensure better health of teeth and gums.


2018 ◽  
Vol 4 (1) ◽  
pp. 89-107
Author(s):  
Cheri Bayuni Budjang

Buying and selling is a way to transfer land rights according to the provisions in Article 37 paragraph (1) of Government Regulation Number 24 of 1997 concerning Land Registration which must include the deed of the Land Deed Making Official to register the right of land rights (behind the name) to the Land Office to create legal certainty and minimize the risks that occur in the future. However, in everyday life there is still a lot of buying and selling land that is not based on the laws and regulations that apply, namely only by using receipts and trust in each other. This is certainly very detrimental to both parties in the transfer of rights (behind the name), especially if the other party is not known to exist like the Case in Decision Number 42 / Pdt.G / 2010 / PN.Mtp


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