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A system of word equations is called independent if it is not equivalent to any of its proper subsystems. [16] Put another way, an independent system S {\displaystyle S} of word equations is one such that every E ∈ S {\displaystyle E\in S} can be solved "independently", i.e., without solving any of the other E ′ ∈ S {\displaystyle E'\in S} .
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a: System of linear equations, System of nonlinear equations,
Two equations or two systems of equations are equivalent, if they have the same set of solutions. The following operations transform an equation or a system of equations into an equivalent one – provided that the operations are meaningful for the expressions they are applied to: Adding or subtracting the same quantity to both sides of an ...
Writing systems are used to record human language, and may be classified according to certain common features.. The usual name of the script is given first; the name of the languages in which the script is written follows (in brackets), particularly in the case where the language name differs from the script name.
The process theory of composition (hereafter referred to as "process") is a field of composition studies that focuses on writing as a process rather than a product. Based on Janet Emig's breakdown of the writing process, [1] the process is centered on the idea that students determine the content of the course by exploring the craft of writing using their own interests, language, techniques ...
The word derives from the Latin verb narrare ("to tell"), which is derived from the adjective gnarus ("knowing or skilled"). [6] [7] The formal and literary process of constructing a narrative—narration—is one of the four traditional rhetorical modes of discourse, along with argumentation, description, and exposition.
A writing process is a set of mental and physical steps that someone takes to create any type of text. Almost always, these activities require inscription equipment, either digital or physical: chisels, pencils, brushes, chalk, dyes, keyboards, touchscreens, etc.; each of these tools has unique affordances that influence writers' workflows. [1]
A system with infinitely many solutions is said to be positive-dimensional. A zero-dimensional system with as many equations as variables is sometimes said to be well-behaved. [3] Bézout's theorem asserts that a well-behaved system whose equations have degrees d 1, ..., d n has at most d 1 ⋅⋅⋅d n solutions. This bound is sharp.