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5 days ago · In this section, we review how to graph the transformation of a function f. Suppose. h(x) = Af(Bx + C) + D, where A, B, C, and D are real numbers, A ≠ 0 and B ≠ 0, and where f(x) is a function whose graph we are familiar with or have been given.
2 days ago · Polar curves are defined by points that are a variable distance from the origin (the pole) depending on the angle measured off the positive \(x\)-axis. Polar curves can describe familiar Cartesian shapes such as ellipses as well as some unfamiliar shapes such as cardioids and lemniscates .
3 days ago · In mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value is zero everywhere except at zero, and whose integral over the entire real line is equal to one.
5 days ago · Euler's constant (sometimes called the Euler–Mascheroni constant) is a mathematical constant, usually denoted by the lowercase Greek letter gamma ( γ ), defined as the limiting difference between the harmonic series and the natural logarithm, denoted here by log : Here, ⌊·⌋ represents the floor function .
4 days ago · It is found that the mini-batch GNN training systems the authors consider consistently converge faster than the full-graph training ones across multiple datasets, GNN models, and system configurations, with speedups between 2.4x - 15.2x. Graph Neural Networks (GNNs) have gained significant attention in recent years due to their ability to learn representations of graph structured data. Two ...
4 days ago · Basics of Graph Theory Trivia Quiz. Despite its misleading name, graph theory doesn't pertain to graphs of equations. Instead, it is a branch of pure mathematics. This quiz discusses some basic elements of graph theory, referencing R. Trudeau's "Introduction to Graph Theory." A multiple-choice quiz by diamondback1 . Estimated time: 5 mins. Home.
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3 days ago · The electron ( e−, or β− in nuclear reactions) is a subatomic particle with a negative one elementary electric charge. [13] . Electrons belong to the first generation of the lepton particle family, [14] and are generally thought to be elementary particles because they have no known components or substructure. [1] .