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Karen Smith works in algebra and algebraic geometry. Some of her main contributions involve finding purely algebraic ways to understand geometric objects, such as singularities in algebraic geometry. This is significant because, for example, even a computer can manipulate algebraic equations but it can not understand a drawing as well. I can answer more if you describe how much mathematics you have taken.
George Boole suggested the similarity between logic and algebraic symbols. By tying logic to algebra, Boole allowed algebra to be viewed as purely abstract. The modern applications of Booleâ??s contributions to mathematics are: computer programming, electrical engineering, satellite pictures, telephone circuits and even Einstein's theory of relativity.
Yes. That is the definition of an algebraic expression.
Algebraic expressions are terms that do not include an equality sign
They are two terms of an algebraic expression.