Linear graphs are straight-line graphs that visually represent a constant rate of change in the relationship between two variables, showing how one changes in response to the other. They are expressed ...

Understanding the rate of change on a graph is an essential mathematical skill, particularly in scientific, economic, and technical fields. The rate of change describes the slope, or steepness, of a ...

In this paper the generating function for the numbers of variations with repetitions and a certain type of restrictions is determined. The variations in question are connected with paths in ...

Abstract: The recently developed approach to motion planning in graphs of convex sets (GCS) provides an efficient framework for computing shortest-distance collision-free paths using convex ...

Abstract: Knowledge graphs have been widely used in various domains such as intelligent question answering, information retrieval, transportation, medicine, e-commerce, and others, and have achieved ...

The paper explains how proteins, known as epigenetic activators (such as Ash1 from the fruit fly Drosophila), bind to their target DNA and activate genes that determine what function a cell will have ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c\) is a smooth curve with one turning point. The turning ...