For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its equation, a² + b² = c², is taught early and used widely, yet its implications ...

Abstract: This paper presents a hardware architecture for 8 x 8 2D Discrete Cosine Transform (DCT) and Inverse DCT (IDCT) using Taylor-series expansion of trigonometric functions. The processing of ...

Trigonometry and calculus often trouble board exam students due to heavy formulas and poor conceptual clarity. This article ...

Durable Functions is an extension of Azure Functions that lets you write stateful functions in a serverless compute environment. The extension lets you define stateful workflows by writing ...

Abstract: In practical scenarios, flight trajectories shall be smooth to comply with the required curvature behavior. This article describes a trajectory generation method that is able to produce ...

Python support for Azure Functions is based on Python 3.10, 3.11, 3.12, and 3.13 serverless hosting on Linux, and the Functions 2.x (EOL), 3.x (EOL) and 4.0 runtime. This project welcomes ...

Natural selection uses duplicated genes as raw material for functional innovation, co-opting their existing features to new functions. Understanding genetic innovation requires two questions to be ...

Females are more immunoreactive than males and, although sex hormones have an important role in immune functions, the X chromosome is fundamental in shaping sex-specific immune responses. X-linked ...

The history of the British Isles is a colorful patchwork, made up of the diverse tribes and nations that sought to make the island their home. Peoples migrated to the island through the Bronze Age, ...

The circulatory system carries oxygen and nutrients throughout the body and removes waste. The lymphatic system helps fight disease by creating and moving white blood cells and antibodies. The ...