A fancy name for calculus, with the "more advanced" connotation.

The fundamental concept of calculus!

The reason why the epsilon delta definition is so venerated is that it fits directly into well known methods of the formalization of mathematics, making the notion completely precise.

This is a general philosophy that Ciro Santilli, and likely others, observes over and over.

Basically, continuity, or higher order conditions like differentiability seem to impose greater constraints on problems, which make them more solvable.

Some good examples of that:

Something that is very not continuous.

Notably studied in discrete mathematics.

Eugene Fubini (1904–1972) was an Italian mathematician known for his contributions to mathematical analysis, particularly in the fields of functional analysis and measure theory. He is best known for the Fubini theorem, which provides conditions under which it is possible to compute the double integral of a function over a product space by iterated integrals.

Giuliano Toraldo di Francia is an Italian philosopher and scientist known for his contributions to the philosophy of science and logic. He has worked on various topics, including epistemology, the philosophy of mathematics, and the foundations of science. His work often explores the nature of scientific theories, the role of models in scientific explanation, and how scientific practice relates to philosophical inquiry.

Giuseppe Caglioti is not widely recognized as a public figure or concept in historical or cultural contexts as of my last update in October 2023. It is possible that he could be a figure in a specific localized context, an emerging public figure, or perhaps related to a specific field such as academia, art, or science that hasn't received widespread attention.

Giuseppe Carleo is an Italian theoretical physicist known for his work in quantum computing, quantum information theory, and statistical mechanics. He has contributed significantly to the field of machine learning in physics, particularly in the context of using neural networks and other machine learning techniques to solve complex problems in quantum many-body systems. His research often involves the application of artificial intelligence and deep learning to enhance our understanding of quantum states and phase transitions.

Maria Novella Piancastelli is an Italian brand known for its high-quality, artisanal products that often include perfumes, soaps, and other scented items. The brand emphasizes traditional craftsmanship, often using natural ingredients and historical methods in their production processes.

Riccardo Felici is not a widely recognized public figure or concept as of my last knowledge update in October 2023. It's possible that he may be a private individual, a local figure, or have gained prominence after that date.

Ishirō Honda was a prominent Japanese film director best known for his work in the science fiction and kaiju (monster) film genres. Born on May 7, 1911, in the Yamagata Prefecture, Honda became famous for directing several iconic films in the Godzilla franchise, including the original "Godzilla" (1954), which is considered a classic of the genre and a significant work in Japanese cinema.

Hayato Chiba is a character from the anime and manga series "Gundam Build Divers." He is known for being one of the skilled Gunpla builders and pilots within the narrative. The series focuses on a virtual environment where players can engage in battles using their customized Gundam models (Gunpla) and highlights themes of teamwork, friendship, and competition.

Hiroshi Umemura is a Japanese mathematician known for his contributions to various fields of mathematics, particularly in algebraic geometry and number theory. His research often focuses on topics related to arithmetic geometry, modular forms, and the study of algebraic curves. Umemura has published numerous papers and collaborated with other mathematicians, contributing to the development of mathematical theory and knowledge.

Yasuo Akizuki is a notable figure in the field of Japanese literature, primarily known for his works as an author and playwright. He has contributed significantly to contemporary Japanese drama and literature, although details about his life and works may not be widely known outside specific literary circles.

Satoshi Kawata is a prominent Japanese physicist known for his contributions to the field of nanotechnology and surface science. His research has focused on various aspects of laser manipulation, optical fields, and the development of advanced microscopy techniques. He has made significant advancements in areas such as surface-enhanced Raman scattering (SERS) and optical trapping, which have applications in biology, chemistry, and materials science.

Yoji Ito could refer to different subjects depending on the context, but it seems like you might be asking about a specific individual. However, as of my last update in October 2023, there isn't a widely known public figure by that exact name. If you're referring to a specific person, event, or concept related to Yoji Ito, could you please provide more details or context?

Japanese nuclear physicists are scientists from Japan who specialize in the field of nuclear physics. This branch of physics deals with the structure, behavior, and interactions of atomic nuclei. Nuclear physicists may study various phenomena, such as nuclear reactions, the properties of nuclear matter, and the behavior of particles within the nucleus. They often work in research institutions, universities, or government laboratories, conducting experiments, developing theories, and contributing to advancements in technology, medicine, and energy.