Non-associative Algebra
Complex numbers are numbers that consist of a real part and an imaginary part, expressed in the form $$a + bi$$, where $$a$$ is the real part, $$b$$ is the imaginary part, and $$i$$ is the imaginary unit with the property that $$i^2 = -1$$. This concept serves as a foundation for extending algebra into higher dimensions and plays a crucial role in various mathematical structures, including non-associative algebras, vector spaces, and string theory.
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