This section focuses on the key features and methods for working with linear graphs. It demonstrates how to sketch graphs from rules, derive rules from graphs, and calculate key features such as the ...

Abstract: Source code summarization is the task of writing natural language descriptions of source code. The primary use of these descriptions is in documentation for programmers. Automatic generation ...

The rapid accumulation of protein sequence data, coupled with the slow pace of experimental annotations, creates a critical need for computational methods to predict protein functions. Existing models ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...

This library uses custom characters to draw simple line graphs on Hitachi HD44780 based alphanumeric displays using the built in LiquidCrystal library. Other libraries can be used if needed for the ...

Abstract: In this article, we present a novel nonuniform sampling technique, based on the pipeline of rapidly exploring random tree (RRT), for efficiently computing high-quality collision-free paths ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

What do you think would be the joys and challenges of going into business with your mother or father? By Jeremy Engle Kashmir Hill joins us for the month of September to chat with teenagers about ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

Theorem 1. For any given integer , there are infinitely many square-free congruent numbers with exactly odd prime divisors in each residue class of 5, 6, 7 mod 8. Theorem 1 follows from the following ...

Pick a type of categorical structure: say bicategories, or monoidal categories, or whatever you like. Some of the functors between structures are equivalences, in whatever the appropriate sense might ...

Specifically, a data set of over 30,000 compositions with the work function on boron-doped graphene at different concentrations and doping positions via density functional theory simulations was ...