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AI is rewriting the rules of engineering design

Artificial intelligence is becoming a core tool in engineering, enhancing how we design, simulate, and maintain infrastructure. From seismic resilience modeling to automated structural optimization, ...

Botany's answer to Darwin's finches shows evolution in real time

A new study reveals how a remarkable group of plants on the Galápagos Islands developed their diverse leaf shapes—offering ...

Some senior bureaucrats earn more than $1 million a year. How did we get here?

Many department heads earn more than the prime minister or treasurer. It’s a situation that’s now under review.
Informationsdienst Wissenschaft

Luigi Ambrosio honored with Science Prize of the Teubner Foundation

This year’s Science Prize for the Promotion of Mathematical Sciences has been awarded to the Italian mathematician Luigi Ambrosio. With the award the Benedictus Gotthelf Teubner Foundation honors his ...
archive

THE MINIMUM OF A FUNCTION OF INTEGRALS IN THE CALCULUS OF VARIATIONS

Can You Chip In? Join our Monthly Giving Circle with a recurring donation and unlock exclusive benefits: virtual events, discounts at our partner Better World Books, and more! Can You Chip In? Join ...
Greek Reporter

Constantine Karatheodori: The Greek Mathematician Who Helped Einstein

Constantine Karatheodori is recognized as the greatest Greek mathematician since antiquity. He worked with many great mathematicians and scientists of the early 20th century, including Albert Einstein ...
PNAS

The Second Derivatives of the Extremal Integral for a General Class of Problems of the Calculus of Variations

Note: The article usage is presented with a three- to four-day delay and will update daily once available. Due to ths delay, usage data will not appear immediately following publication. Citation ...
PNAS

Metric Methods in Calculus of Variations

Note: The article usage is presented with a three- to four-day delay and will update daily once available. Due to ths delay, usage data will not appear immediately following publication. Citation ...
Scientific Research Publishing

Caratheodory, C. (1989) Calculus of Variations and Partial Differential Equations of the First Order. 2nd Edition, Chelsea Publishing.

ABSTRACT: This paper introduces a new evolutionary system which is uniquely suitable for the description of nonconservative systems in field theories, including quantum mechanics, but is not limited ...
SciTech Daily

Student Refines a Century-Old Math Problem That Could Transform Wind Energy

Divya Tyagi reworked a century-old aerodynamic problem, creating a simpler approach to optimize wind turbine efficiency. Her solution, overlooked in past research, accounts for crucial forces ...
Nature

Metric-affine cosmological models and the inverse problem of the calculus of variations. Part II: Variational bootstrapping of the CDM model

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...