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"Equations Fiction."
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Equal, shmequal
In order to have fun at a game of tug-of-war, forest animals balance the teams by using a see-saw. Includes nonfiction math notes for meanings of equal.
Book
Data-driven intelligent sci-fi color design: clustering to generative validation
This study applies deep learning to Sci-Fi color scheme design. Specifically, we first integrate multi-source Sci-Fi visuals. Sources include online platforms, original works, and Midjourney. On this basis, we build an HSV color dataset via K-means clustering. The dataset has 108 discrete categories. We then analyze core characteristics. Key findings show cool-color dominance and monochromatic preference. Based on these identified features, we train a VAE model. It generates characteristic-aligned color schemes. Subsequently, we validate schemes through Midjourney. Implement palette-to-rendering control. This breaks traditional experience-driven design limits. It establishes a scientifically reusable cross-modal methodology. This methodology serves visual computational aesthetics. The framework delivers efficient intelligent color solutions. Solutions target film and gaming industries.
Journal Article
The last equation of Isaac Severy : a novel in clues
\"Just days after mathematician and family patriarch Isaac Severy dies of an apparent suicide, his adopted granddaughter Hazel, owner of a struggling Seattle bookstore, receives a letter from him by mail. In it, Isaac alludes to a secretive organization that is after his final bombshell equation, and he charges Hazel with safely delivering it to a trusted colleague. But first, she must find where the equation is hidden. While in Los Angeles for Isaac's funeral, Hazel realizes she's not the only one searching for his life's work, and that the equation's implications have potentially disastrous consequences for the extended Severy family, a group of dysfunctional geniuses unmoored by the sudden death of their patriarch\"-- Provided by publisher.
Book
Shape-Preserving Accelerating Electromagnetic Wave Packets in Curved Space
We present shape-preserving spatially accelerating electromagnetic wave packets in curved space: wave packets propagating along nongeodesic trajectories while periodically recovering their structure. These wave packets are solutions to the paraxial and nonparaxial wave equations in curved space. We analyze the dynamics of such beams propagating on surfaces of revolution, and find solutions that propagate along a variety of nongeodesic trajectories, with their intensity profile becoming narrower (or broader) in a scaled self-similar fashion. Such wave packets reflect the interplay between the curvature of space and interference effects. Finally, we extend this concept to nonlinear accelerating beams in curved space supported by the Kerr nonlinearity. Our study concentrates on optical settings, but the underlying concepts directly relate to general relativity.
Journal Article
Cohort Succession Explains Most Change in Literary Culture
Many aspects of behavior are guided by dispositions that are relatively durable once formed. Political opinions and phonology, for instance, change largely through cohort succession. But evidence for cohort effects has been scarce in artistic and intellectual history; researchers in those fields more commonly explain change as an immediate response to recent innovations and events. We test these conflicting theories of change in a corpus of 10,830 works of fiction from 1880 to 1999 and find that slightly more than half (54.7 percent) of the variance explained by time is explained better by an author's year of birth than by a book's year of publication. Writing practices do change across an author's career. But the pace of change declines steeply with age. This finding suggests that existing histories of literary culture have a large blind spot: the early experiences that form cohorts are pivotal but leave few traces in the historical record.
Journal Article
Degree Distribution in Quantum Walks on Complex Networks
In this theoretical study, we analyze quantum walks on complex networks, which model network-based processes ranging from quantum computing to biology and even sociology. Specifically, we analytically relate the average long-time probability distribution for the location of a unitary quantum walker to that of a corresponding classical walker. The distribution of the classical walker is proportional to the distribution of degrees, which measures the connectivity of the network nodes and underlies many methods for analyzing classical networks, including website ranking. The quantum distribution becomes exactly equal to the classical distribution when the walk has zero energy, and at higher energies, the difference, the so-called quantumness, is bounded by the energy of the initial state. We give an example for which the quantumness equals a Rényi entropy of the normalized weighted degrees, guiding us to regimes for which the classical degree-dependent result is recovered and others for which quantum effects dominate.
Journal Article
Adoption and Continuance in the Metaverse
The burgeoning metaverse market, encompassing virtual and augmented reality, gaming, and manufacturing processes, presents a unique domain for studying user behavior. This study delineates a research framework to investigate the antecedents of behavioral intention, bifurcating users into inexperienced and experienced cohorts. Utilizing a cross-sectional survey, empirical data were amassed and analyzed using structural equation modeling, encompassing 372 responses from 131 inexperienced and 241 experienced users. For inexperienced users, the analysis underscored the significant impact of perceived usefulness on both satisfaction and adoption intention, while perceived enjoyment was found to bolster only satisfaction. Innovativeness and satisfaction do not drive adoption intention. Conversely, for experienced users, satisfaction was significantly influenced by perceived ease of use, perceived usefulness, and perceived enjoyment. Continuance intention was positively affected by perceived usefulness, perceived enjoyment, trust, innovativeness, and satisfaction. This research extends valuable insights for both theoretical advancements and practical implementations in the burgeoning metaverse landscape.
Journal Article
The Ontology of Theoretical Modelling: Models as Make-Believe
The descriptions and theoretical laws scientists write down when they model a system are often false of any real system. And yet we commonly talk as if there were objects that satisfy the scientists' assumptions and as if we may learn about their properties. Many attempt to make sense of this by taking the scientists' descriptions and theoretical laws to define abstract or fictional entities. In this paper, I propose an alternative account of theoretical modelling that draws upon Kendall Walton's 'make-believe' theory of representation in art. I argue that this account allows us to understand theoretical modelling without positing any object of which scientists' modelling assumptions are true.
Journal Article
Wizards, Aliens, and Starships
From teleportation and space elevators to alien contact and interstellar travel, science fiction and fantasy writers have come up with some brilliant and innovative ideas. Yet how plausible are these ideas--for instance, could Mr. Weasley's flying car in the Harry Potter books really exist? Which concepts might actually happen, and which ones wouldn't work at all?Wizards, Aliens, and Starshipsdelves into the most extraordinary details in science fiction and fantasy--such as time warps, shape changing, rocket launches, and illumination by floating candle--and shows readers the physics and math behind the phenomena.
With simple mathematical models, and in most cases using no more than high school algebra, Charles Adler ranges across a plethora of remarkable imaginings, from the works of Ursula K. Le Guin toStar TrekandAvatar, to explore what might become reality. Adler explains why fantasy in the Harry Potter and Dresden Files novels cannot adhere strictly to scientific laws, and when magic might make scientific sense in the muggle world. He examines space travel and wonders why it isn't cheaper and more common today. Adler also discusses exoplanets and how the search for alien life has shifted from radio communications to space-based telescopes. He concludes by investigating the future survival of humanity and other intelligent races. Throughout, he cites an abundance of science fiction and fantasy authors, and includes concise descriptions of stories as well as a glossary of science terms.
Wizards, Aliens, and Starshipswill speak to anyone wanting to know about the correct--and incorrect--science of science fiction and fantasy.
eBook
Fictionalist Nominalism and Applied Mathematics
For at least a century, mathematics has been a fertile source of arguments against nominalism. In the author's view, arguments from applied mathematics are particularly difficult for fictionalist nominalists to deal with. In section 1, he will present an argument based on applied mathematics against nominalism simpliciter. The argument is coextensive with the section. Although he in fact accept the argument, Section 1 is no more than a presentation or statement of the argument, and none of the declarative sentences it contains should be taken to be an assertion of the author's. In section 2, he will present a modification of the argument of section 1 that is directed specifically against fictionalist nominalism. In section 3, he will consider a reply to the argument of section 2 that is based on the common fictionalist contention that the mathematical fiction can be shown to be a conservative extension of nominalistically acceptable discourse.
Journal Article