The graphs above, \(y = 2x + 1\) and \(y = 2x - 2\) have the same gradient of 2. The lines are parallel. State the equation of a line that is parallel to \(y = 3x + 7\). To be parallel, two lines must ...

Parallel lines are a fixed distance apart and will never meet, no matter how long they are extended. Lines that are parallel have the same gradient. The graphs above, \(y = 2x + 1\) and \(y = 2x - 2\) ...

If you understand the definition of a mathematical function, a good way to judge it is that any line drawn parallel to the y-axis intersects with the values in the function’s curve only once. The same ...

Abstract: This paper presents new deterministic and distributed low-diameter decomposition algorithms for weighted graphs. In particular, we show that if one can efficiently compute approximate ...

Abstract: Due to the rapid advance of the integrated circuit technology, power grid analysis usually imposes a severe computational challenge, where linear equations with millions or even billions of ...

Introduction: In response to the issues of complexity and low efficiency in line loss calculations for actual distribution networks, this paper proposes a fast power flow calculation method for ...

Parallel computing for differential equations has emerged as a critical field in computational science, enabling the efficient simulation of complex physical systems governed by ordinary and partial ...