Academic Articles & Research Papers

DAF-UNet: Deformable U-Net with Atrous-Convolution Feature Pyramid for Retinal Vessel Segmentation

Segmentation of retinal vessels from fundus images is critical for diagnosing diseases such as diabetes and hypertension. However, the inherent challenges posed by the complex geometries of vessels and the highly imbalanced distribution of ...

System 2 Thinking in OpenAI’s o1-Preview Model: Near-Perfect Performance on a Mathematics Exam

The processes underlying human cognition are often divided into System 1, which involves fast, intuitive thinking, and System 2, which involves slow, deliberate reasoning. Previously, large language models were criticized for lacking the de...

Mathematical Statistics

Traditional texts in mathematical statistics can seem - to some readers-heavily weighted with optimality theory of the various flavors developed in the 1940s and50s, and not particularly relevant to statistical practice. Mathematical Statis...

Advanced Engineering Mathematics

A long-standing, best-selling, comprehensive textbook covering all the mathematics required on upper level engineering mathematics undergraduate courses. Its unique programmed approach takes students...

On Mathematical Problem Posing.

In mathematics classes at all levels of schooling in all countries of the world, students can be observed solving problems. The quality and authenticity of these mathematics problems has been the subject of many discussions and debates in r...

Introduction to Mathematical Logic.

is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and...

Realism, Mathematics and Modality

Fictionalism, epistemology and modality realism and anti-realism about mathematics is mathematical knowledge just logical knowledge? on conservativeness and incompleteness Platonism for cheap? - Crispin Wright on Frege's context principle c...

The Mathematical Brain

The concept of numbers and the ability to recognize and process them is innate, part of everyone's intellectual apparatus whether they've had formal education or not. This instinct is not dependent on basic intelligence or general knowledge...

Mathematics Teacher Noticing

Mathematics Teacher Noticing is the first book to examine research on the particular type of noticing done by teachers---how teachers pay attention to and make sense of what happens in the complexity of instructional situations. In the mids...

Elements of mathematical ecology

"Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that, for the...

Mathematical Logic

Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text. Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas ...

Elements of Mathematical Ecology

Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that ignore mu...

Equations of Mathematical Physics

Mathematical physics plays an important role in the study of many physical processes - hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical phys...

Survey of Hybrid Cloud Workflow Scheduling

In the context of data explosion,traditional cloud computing is faced with the dilemma of insufficient local cloud resources and high expansion cost.However,the newly emerging hybrid cloud combining resource-rich public cloud and data-sensi...

Mathematical Methods for Physicists

This text is designed for an intermediate-level, two-semester undergraduate course in mathematical physics. It provides an accessible account of most of the current, important mathematical tools required in physics these days. It is assumed...

Editorial: Use of AR/MR/VR in the context of occupational safety and health

The Mathematics of Diffusion.

ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTThe Mathematics of Diffusion.J. W. Westwater and H. G. DrickamerCite this: J. Am. Chem. Soc. 1957, 79, 5, 1267Publication Date (Print):March 1, 1957Publication History Published online1 May 2002Pu...

Numerical Mathematics

Existence results and Ulam-Hyers stability for a sequential deformable fractional initial value problem

Abstract In this study, we establish existence and Ulam-Hyers results for nonlinear sequential fractional differential equations involving the deformable derivative. We employ the Banach contraction principle and Krasnoselskii’s theorem to ...

Understanding older adults’ continuance intention toward smart locks: a socio-technical study based on the Expectation-Confirmation Model of Information Systems and Task-Technology Fit Model

Background As aging populations continue to grow, smart home technologies—such as smart locks—have become increasingly essential to support older adults’ independent living. Long-term use remains a challenge, however, with most studies focu...