Academic literature on the topic 'Stillman bounds'

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Journal articles on the topic "Stillman bounds"

1

Ananyan, Tigran, and Melvin Hochster. "Strength conditions, small subalgebras, and Stillman bounds in degree $\leq 4$." Transactions of the American Mathematical Society 373, no. 7 (April 28, 2020): 4757–806. http://dx.doi.org/10.1090/tran/8060.

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2

Krude, T., C. de Maddalena, and R. Knippers. "A nucleosome assembly factor is a constituent of simian virus 40 minichromosomes." Molecular and Cellular Biology 13, no. 2 (February 1993): 1059–68. http://dx.doi.org/10.1128/mcb.13.2.1059-1068.1993.

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Using in vitro replication assays, we compared native with salt-treated simian virus 40 minichromosomes isolated from infected cell nuclei. Minichromosomes from both preparations contain the full complement of nucleosomes, but salt treatment removes histone H1 and a fraction of nonhistone chromatin proteins. Both types of minichromosomes served well as templates for in vitro replication, but the structures of the replication products were strikingly different. Replicated salt-treated minichromosomes contained, on average, about half the normal number of nucleosomes as previously shown (T. Krude and R. Knippers, Mol. Cell. Biol. 11:6257-6267, 1991). In contrast, the replicated untreated minichromosomes were found to be densely packed with nucleosomes, indicating that an assembly of new nucleosomes occurred during in vitro replication. Biochemical and immunological data showed that the fraction of nonhistone chromatin proteins associated with native minichromosomes includes a nucleosome assembly activity that appears to be closely related to chromatin assembly factor I (S. Smith and B. W. Stillman, Cell 58:15-25, 1989). Furthermore, this minichromosome-bound nucleosome assembly factor is able to exert its activity in trans to replicating protein-free competitor DNA. Thus, native chromatin itself contains the activities required for an ordered assembly of nucleosomes during the replication process.
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Krude, T., C. de Maddalena, and R. Knippers. "A nucleosome assembly factor is a constituent of simian virus 40 minichromosomes." Molecular and Cellular Biology 13, no. 2 (February 1993): 1059–68. http://dx.doi.org/10.1128/mcb.13.2.1059.

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Using in vitro replication assays, we compared native with salt-treated simian virus 40 minichromosomes isolated from infected cell nuclei. Minichromosomes from both preparations contain the full complement of nucleosomes, but salt treatment removes histone H1 and a fraction of nonhistone chromatin proteins. Both types of minichromosomes served well as templates for in vitro replication, but the structures of the replication products were strikingly different. Replicated salt-treated minichromosomes contained, on average, about half the normal number of nucleosomes as previously shown (T. Krude and R. Knippers, Mol. Cell. Biol. 11:6257-6267, 1991). In contrast, the replicated untreated minichromosomes were found to be densely packed with nucleosomes, indicating that an assembly of new nucleosomes occurred during in vitro replication. Biochemical and immunological data showed that the fraction of nonhistone chromatin proteins associated with native minichromosomes includes a nucleosome assembly activity that appears to be closely related to chromatin assembly factor I (S. Smith and B. W. Stillman, Cell 58:15-25, 1989). Furthermore, this minichromosome-bound nucleosome assembly factor is able to exert its activity in trans to replicating protein-free competitor DNA. Thus, native chromatin itself contains the activities required for an ordered assembly of nucleosomes during the replication process.
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Nougarède, Romain, Flavio Della Seta, Patrick Zarzov, and Etienne Schwob. "Hierarchy of S-Phase-Promoting Factors: Yeast Dbf4-Cdc7 Kinase Requires Prior S-Phase Cyclin-Dependent Kinase Activation." Molecular and Cellular Biology 20, no. 11 (June 1, 2000): 3795–806. http://dx.doi.org/10.1128/mcb.20.11.3795-3806.2000.

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ABSTRACT In all eukaryotes, the initiation of DNA synthesis requires the formation of prereplicative complexes (pre-RCs) on replication origins, followed by their activation by two S-T protein kinases, an S-phase cyclin-dependent kinase (S-CDK) and a homologue of yeast Dbf4-Cdc7 kinase (Dbf4p-dependent kinase [DDK]). Here, we show that yeast DDK activity is cell cycle regulated, though less tightly than that of the S-CDK Clb5-Cdk1, and peaks during S phase in correlation with Dbf4p levels. Dbf4p is short-lived throughout the cell cycle, but its instability is accentuated during G1 by the anaphase-promoting complex. Downregulating DDK activity is physiologically important, as joint Cdc7p and Dbf4p overexpression is lethal. Because pre-RC formation is a highly ordered process, we asked whether S-CDK and DDK need also to function in a specific order for the firing of origins. We found that both kinases are activated independently, but we show that DDK can perform its function for DNA replication only after S-CDKs have been activated. Cdc45p, a protein needed for initiation, binds tightly to chromatin only after S-CDK activation (L. Zou and B. Stillman, Science 280:593–596, 1998). We show that Cdc45p is phosphorylated by DDK in vitro, suggesting that it might be one of DDK's critical substrates after S-CDK activation. Linking the origin-bound DDK to the tightly regulated S-CDK in a dependent sequence of events may ensure that DNA replication initiates only at the right time and place.
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Ananyan, Tigran, and Melvin Hochster. "Corrigendum to “Strength conditions, small subalgebras, and Stillman bounds in degree $\leq 4$”." Transactions of the American Mathematical Society, October 18, 2020, 1. http://dx.doi.org/10.1090/tran/8300.

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6

Dao, Hailong, Alessandro De Stefani, and Linquan Ma. "Cohomologically Full Rings." International Mathematics Research Notices, October 28, 2019. http://dx.doi.org/10.1093/imrn/rnz203.

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Abstract Inspired by a question raised by Eisenbud–Mustaţă–Stillman regarding the injectivity of maps from ${\operatorname{Ext}}$ modules to local cohomology modules and the work by the third author with Pham, we introduce a class of rings, which we call cohomologically full rings. This class of rings includes many well-known singularities: Cohen–Macaulay rings, Stanley–Reisner rings, F-pure rings in positive characteristics, and Du Bois singularities in characteristics $0$. We prove many basic properties of cohomologically full rings, including their behavior under flat base change. We show that ideals defining these rings satisfy many desirable properties, in particular they have small cohomological and projective dimension. When $R$ is a standard graded algebra over a field of characteristic $0$, we show under certain conditions that being cohomologically full is equivalent to the intermediate local cohomology modules being generated in degree $0$. Furthermore, we obtain Kodaira-type vanishing and strong bounds on the regularity of cohomologically full graded algebras.
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7

Plauschinn, Erik. "The tadpole conjecture at large complex-structure." Journal of High Energy Physics 2022, no. 2 (February 2022). http://dx.doi.org/10.1007/jhep02(2022)206.

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Abstract The tadpole conjecture by Bena, Blåbäck, Graña and Lüst effectively states that for string-theory compactifications with a large number of complex-structure moduli, not all of these moduli can be stabilized by fluxes. In this note we study this conjecture in the large complex-structure regime using statistical data obtained by Demirtas, Long, McAllister and Stillman for the Kreuzer-Skarke list. We estimate a lower bound on the flux number in type IIB Calabi-Yau orientifold compactifications at large complex-structure and for large h2,1, and our results support the tadpole conjecture in this regime.
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8

Ballico, Edoardo, and Emanuele Ventura. "The strength for line bundles." MATHEMATICA SCANDINAVICA 127, no. 3 (November 30, 2021). http://dx.doi.org/10.7146/math.scand.a-128529.

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We introduce the strength for sections of a line bundle on an algebraic variety. This generalizes the strength of homogeneous polynomials that has been recently introduced to resolve Stillman's conjecture, an important problem in commutative algebra. We establish the first properties of this notion and give some tool to obtain upper bounds on the strength in this framework. Moreover, we show some results on the usual strength such as the reducibility of the set of strength two homogeneous polynomials.
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9

Morgan, Carol. "Capitalistic Ideology as an 'Interpersonal Game'." M/C Journal 3, no. 5 (October 1, 2000). http://dx.doi.org/10.5204/mcj.1880.

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"Outwit, Outplay, Outlast" "All entertainment has hidden meanings, revealing the nature of the culture that created it" ( 6). This quotation has no greater relevance than for the most powerful entertainment medium of all: television. In fact, television has arguably become part of the "almost unnoticed working equipment of civilisations" (Cater 1). In other words, TV seriously affects our culture, our society, and our lives; it affects the way we perceive and approach reality (see Cantor and Cantor, 1992; Corcoran, 1984; Freedman, 1990; Novak, 1975). In this essay, I argue that the American television programme Survivor is an example of how entertainment (TV in particular) perpetuates capitalistic ideologies. In other words, Survivor is a symptom of American economic culture, which is masked as an "interpersonal game". I am operating under the assumption that television works "ideologically to promote and prefer certain meanings of the world, to circulate some meanings rather than others, and to serve some interests rather than others" (Fiske 20). I argue that Survivor promotes ideals on two levels: economic and social. On the economic level, it endorses the pursuit of money, fame, and successful careers. These values are prevalent in American society and have coalesced into the myth of the "American Dream", which stands for the opportunity for each individual to get ahead in life; someone can always become wealthy (see White, 1988; Cortes, 1982; Grambs, 1982; Rivlin, 1992). These values are an integral part of a capitalistic society, and, as I will illustrate later, Survivor is a symptom of these ideological values. On the second level, it purports preferred social strategies that are needed to "win" at the game of capitalism: forming alliances, lying, and deception. Ideology The discussion of ideology is critical if we are to better understand the function of Survivor in American culture. Ideologies are neither "ideal" nor "spiritual," but rather material. Ideologies appear in specific social institutions and practices, such as cultural artefacts (Althusser, For Marx 232). In that way, everyone "lives" in ideologies. Pryor suggests that ideology in cultural practices can operate as a "rhetoric of control" by structuring the way in which people view the world: Ideology `refracts' our social conditions of existence, structuring consciousness by defining for us what exists, what is legitimate and illegitimate, possible and impossible, thinkable and unthinkable. Entering praxis as a form of persuasion, ideology acts as a rhetoric of control by endorsing and legitimising certain economic, social and political arrangements at the expense of others and by specifying the proper role and position of the individual within those arrangements. (4) Similarly, Althusser suggests, "ideology is the system of ideas and representations which dominate the mind of a man or a social group" (Ideology 149). Thus, ideology, for Althusser, represents the way individuals "live" their relations to society (Eagleton 18). Grossberg suggests, "within such positions, textuality is a productive practice whose (imaginary) product is experience itself. Experience can no longer serve as a mediation between the cultural and the social since it is not merely within the cultural but is the product of cultural practices" (409). The "text" for study, then, becomes the cultural practices and structures, which determine humans. Althusser concludes that ideology reifies our affective, unconscious relations with the world, and determines how people are pre-reflectively bound up in social reality (Eagleton 18). Survivor as a Text In the United States, the "reality TV" genre of programming, such as The Real World, Road Rules, and Big Brother (also quite famous in Europe), are currently very popular. Debuting in May, 2000, Survivor is one of the newest additions to this "reality programming." Survivor is a game, and its theme is: "Outwit, Outplay, Outlast". The premise is the following: Sixteen strangers are "stranded" on a remote island in the South China Sea. They are divided into two "tribes" of eight, the "Pagong" and "Tagi." They have to build shelter, catch food, and establish a "new society". They must work together as a team to succeed, but ultimately, they are competitors. The tribes compete in games for "rewards" (luxury items such as food), and also for "immunity". Every third day, they attend a "tribal council" in which they vote one member off the island. Whoever won the "immunity challenge" (as a tribe early in the show, later, as an individual) cannot be voted off. After several episodes, the two tribes merge into one, "Rattana," as they try to "outwit, outlast, and outplay" the other contestants. The ultimate prize is $1,000,000. The Case of Survivor As Althusser (For Marx) and Pryor suggest, ideology exists in cultural artefacts and practices. In addition, Pryor argues that ideology defines for us what is "legitimate and illegitimate," and "thinkable and unthinkable" by "endorsing certain economic and social arrangements" (4). This is certainly true in the case of Survivor. The programme is definitely a cultural artefact that endorses certain practices. In fact, it defines for us the "preferred" economic and social arrangements. The show promotes for us the economic arrangement of "winning" money. It also defines the social arrangements that are legitimate, thinkable, and necessary to win the interpersonal and capitalistic game. First, let us discuss the economic arrangements that Survivor purports. The economic arrangements that Survivor perpetuates are in direct alignment with those of the "game" of capitalism: to "win" money, success, and/or fame (which will lead to money). While Richard, the $1,000,000 prize winner, is the personification of the capitalistic/American Dream come true, the other contestants certainly have had their share of money and fame. For example, after getting voted off the island, many of the former cast members appeared on the "talk show circuit" and have done many paid interviews. Joel Klug has done approximately 250 interviews (Abele, Alexander and Lasswell 62), and Stacey Stillman is charging $1200 for a "few quotes," and $1800 for a full-length interview (Millman et al. 16). Jenna Lewis has been busy with paid television engagements that require cross country trips (Abele, Alexander and Lasswell 63). In addition, some have made television commercials. Both B. B. Andersen and Stacey Stillman appeared in Reebok commercials that were aired during the remaining Survivor episodes. Others are making their way even farther into Hollywood. Most have their own talent agents who are getting them acting jobs. For example, Sean Kenniff is going to appear in a role on a soap opera, and Gervase Peterson is currently "sifting through offers" to act in television situation comedies and movies. Dirk Been has been auditioning for movie roles, and Joel Klug has moved to Los Angeles to "become a star". Even Sonja Christopher, the 63-year-old breast cancer survivor and the first contestant voted off, is making her acting debut in the television show, Diagnosis Murder (Abele, Alexander and Lasswell 57). Finally, two of the women contestants from Survivor were also tempted with a more "risky" offer. Both Colleen Haskell and Jenna Lewis were asked to pose for Playboy magazine. While these women are certainly attractive, they are not the "typical-looking" playboy model. It is obvious that their fame has put them in the mind of Hugh Heffner, the owner of Playboy. No one is revealing the exact amount of the offers, but rumours suggest that they are around $500,000. Thus, it is clear that even though these contestants did not win the $1,000,000, they are using their famous faces to "win" the capitalistic game anyway. Not only does Survivor purport the "preferred" economic arrangements, it also defines for us the social arrangements needed to win the capitalistic game: interpersonal strategy. The theme of the strategy needed to win the game is "nice guys don't last". This is demonstrated by the fact that Gretchen, a nice, strong, capable, and nurturing "soccer mother" was the seventh to be voted off the island. There were also many other "nice" contestants who were eventually voted off for one reason or another. However, on the other hand, Richard, the million-dollar winner, used "Machiavellian smarts" to scheme his way into winning. After the final episode, he said, "I really feel that I earned where I am. The first hour on the island I stepped into my strategy and thought, 'I'm going to focus on how to establish an alliance with four people early on.' I spend a lot of time thinking about who people are and why they interact the way they do, and I didn't want to just hurt people's feelings or do this and toss that one out. I wanted this to be planned and I wanted it to be based on what I needed to do to win the game. I don't regret anything I've done or said to them and I wouldn't change a thing" (Hatch, n.pag.). One strategy that worked to Richard's advantage was that upon arriving to the island, he formed an alliance with three other contestants: Susan, Rudy, and Kelly. They decided that they would all vote the same person off the island so that their chances of staying were maximised. Richard also "chipped in", did some "dirty work", and ingratiated himself by being the only person who could successfully catch fish. He also interacted with others strategically, and decided who to vote off based on who didn't like him, or who was more likeable than him (or the rest of the alliance). Thus, it is evident that being part of an alliance is definitely needed to win this capitalistic game, because the four people who were part of the only alliance on the island were the final contestants. In fact, in Rudy's (who came in third place) final comments were, "my advice for anybody who plays this game is form an alliance and stick with it" (Boesch, n.pag.). This is similar to corporate America, where many people form "cliques", "alliances", or "particular friendships" in order to "get ahead". Some people even betray others. We definitely saw this happen in the programme. This leads to another essential ingredient to the social arrangements: lying and deception. In fact, in episode nine, Richard (the winner) said to the camera, "outright lying is essential". He also revealed that part of his strategy was making a big deal of his fishing skills just to distract attention from his schemings. He further stated, "I'm not still on the island because I catch fish, I'm here because I'm smart" (qtd. in Damitol, n.pag.). For example, he once thought the others did not appreciate his fishing skills. Thus, he decided to stop fishing for a few days so that the group would appreciate him more. It was seemingly a "nasty plan", especially considering that at the time, the other tribe members were rationing their rice. However, it was this sort of behaviour that led him to win the game. Another example of the necessity for lying is illustrated in the fact that the alliance of Richard, Rudy, Sue, and Kelly (the only alliance) denied to the remaining competitors that they were scheming. Sue even blatantly lied to the Survivor host, Jeff Probst, when he asked her if there was an alliance. However, when talking to the cameras, they freely admitted to its existence. While the alliance strategy worked for most of the game, in the end, it was destined to dissolve when they had to start voting against each other. So, just as in a capitalistic society, it is ultimately, still "everyone for her/himself". The best illustration of this fact is the final quote that Kelly made, "I learned early on in the game [about trust and lying]. I had befriended her [Sue -- part of Kelly's alliance]; I trusted her and she betrayed me. She was lying to me, and was plotting against me from very early on. I realised that and I knew that. Therefore I decided not to trust her, not to be friends with her, not to be honest with her, for my own protection" (Wiglesworth, n.pag.). Therefore, even within the winning alliance, there was a fair amount of distrust and deception. Conclusion In conclusion, I have demonstrated how Survivor promotes ideals on two levels: economic and social. On the economic level, it endorses the pursuit of money, fame, and successful careers. On the social level, it purports preferred interpersonal strategies that are needed to "win" at the game of capitalism. In fact, it promotes the philosophy that "winning money at all costs is acceptable". We must win money. We must lie. We must scheme. We must deceive. We must win fame. Whether or not the audience interpreted the programme this way, what is obvious to everyone is the following: six months ago, the contestants on Survivor were ordinary American citizens; now they are famous and have endless opportunities for wealth. References Abele, R., M. Alexander and M. Lasswell. "They Will Survive." TV Guide 48.38 (2000): 56-63. Althusser, L. For Marx. Trans. Ben Brewster. New York: Vintage Books, 1969, 1970. ---. "Ideology and Ideological State Apparatuses." Lenin and Philosophy and Other Essays. Trans. Ben Brewster. London: New Left Books, 1971. ---. Philosophy and the Spontaneous Philosophy of the Scientists. Trans. Ben Brewster. London: Verso, 1990. Boesch, R. "Survivor Profiles: Rudy." CBS Survivors Website. 2000. 26 Sep. 2000 <http://www.cbs.com/primetime/survivor/survivors/rudy_f.shtml>. Cantor, M.G., and J. M. Cantor. Prime Time Television Content and Control. Newbury Park: Sage Publications, 1992. Cater, D. "Television and Thinking People." Television as a Social Force: New Approaches to TV Criticism. Ed. D. Cater and R. Adler. New York: Praeger Publications, 1975. 1-8. Corcoran, F. "Television as Ideological Apparatus: The Power and the Pleasure." Critical Studies in Mass Communication 1 (1984): 131-45. Cortes, C. E. "Ethnic Groups and the American Dream(s)." Social Education 47.6 (1982): 401-3. Damitol. "Episode 9A -- 'Oh God! My Eyes! My Eyes!' or 'Richard Gets Nekkid'." Survivorsucks.com. 2000. 16 Oct. 2000 <http://www.survivorsucks.com/summaries.s1.9a.php>. Eagleton, T. Ideology: An Introduction. London: Verso, 1991. Ellis, K. "Queen for One Day at a Time." College English 38.8 (1977): 775-81. Freedman, C. "History, Fiction, Film, Television, Myth: The Ideology of M*A*S*H." The Southern Review 26.1 (1990): 89-106. Grambs, J. D. "Mom, Apple Pie, and the American Dream." Social Education 47.6 (1982): 405-9. Grossberg, L. "Strategies of Marxist Cultural Interpretation." Critical Studies in Mass Communication 1 (1984): 392-421. Jones, G. Honey, I'm Home! Sitcoms Selling the American Dream. New York: Grove Weidenfeld, 1992. Hatch, R. "Survivor Profiles: Richard." CBS Survivors Website. 2000. 26 Sep. 2000 <http://www.cbs.com/primetime/survivor/survivors/richard_f.shtml>. Hofeldt, R. L. "Cultural Bias in M*A*S*H." Society 15.5 (1978): 96-9. Lichter, S. R., L. S. Lichter, and S. Rothman. Watching America. New York: Prentice Hall, 1991. Millman, J., J. Stark, and B. Wyman. "'Survivor,' Complete." Salon Magazine 28 June 2000. 16 Oct. 2000 <http://www.salon.com/ent/tv/feature/2000/06/28/survivor_episodes/index.php>. Novak, M. "Television Shapes the Soul." Television as a Social Force: New Approaches to TV Criticism. Ed. D. Cater and R. Adler. New York: Praeger Publications, 1975. 9-20. Pryor, R. "Reading Ideology in Discourse: Charting a Rhetoric of Control." Unpublished Essay. Northern Illinois University, 1992. Rivlin, A. M. Reviving the American Dream. Washington, D. C.: The Brookings Institution, 1992. White, J. K. The New Politics of Old Values. Hanover: UP of New England, 1988. Wiglesworth, K. "Survivor Profiles: Kelly." CBS Survivors Website. 2000. 26 Sep. 2000 <http://www.cbs.com/primetime/survivor/survivors/kelly_f.shtml>. Citation reference for this article MLA style: Carol Morgan. "Capitalistic Ideology as an 'Interpersonal Game': The Case of Survivor." M/C: A Journal of Media and Culture 3.5 (2000). [your date of access] <http://www.api-network.com/mc/0010/survivor.php>. Chicago style: Carol Morgan, "Capitalistic Ideology as an 'Interpersonal Game': The Case of Survivor," M/C: A Journal of Media and Culture 3, no. 5 (2000), <http://www.api-network.com/mc/0010/survivor.php> ([your date of access]). APA style: Carol Morgan. (2000) Capitalistic Ideology as an 'Interpersonal Game': The Case of Survivor. M/C: A Journal of Media and Culture 3(5). <http://www.api-network.com/mc/0010/survivor.php> ([your date of access]).
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