Derivative Graphs are visual representations of the derivative of a function with respect to its variable. They show how the slope of the tangent line to a curve changes at each point, allowing for an ...

Written in Python 3.6.5 for Windows. Uses the Plotly API to create interactive graphs that open in a web browser. Required packages: Sympy 1.1.1 Plotly 3.2.0 The program was written using ...

We propose constructing provable collision resistant hash functions from expander graphs in which finding cycles is hard. As examples, we investigate two specific families of optimal expander graphs for ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

A prominent paradigm for graph neural networks is based on the message-passing framework. In this framework, information communication is realized only between neighboring nodes. The challenge of ...

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 ...

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 ...

This is a preview. Log in through your library . Abstract A class of global Lyapunov functions is revisited and used to resolve a long-standing open problem on the uniqueness and global stability of ...

Explore the amplitude, period, and phase shift by examining the graphs of various trigonometric functions. Students can select values to use within the function to explore the resulting changes in the ...