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Learn to transform basic mathematical expressions into elegant and professional notation for clarity and style. Discover simplified and scientific forms with step-by-step examples.
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Professional Elegancy ... Credit to Dr. Olga Puzic (ExxonMobil Co.) Ioan I. Negulescu September 5, 2007
Professional Elegancy ... Any engineer learns the mathematical notation through which two real numbers, for example, can be written down very simply. Even so, this form is wrong, for being too trivial and for showing a total lack of style.
Since our very first Math lessons we have known that, and also that, besides this, everybody knows that,
So being, the expression, can be re-written in a more elegant form, which, as we can easily observe, is a lot more scientific and easier to understand.
It is known that: and that,
Hence resulting, and can further be written as follows, offering substantial clarity and tranparency,
Considering that, and that the inverted matrix of a transposed matrix equals the transposed matrix of an inverted matrix (presuming an unidimentional space), we obtain the following simplification (using vectorial notation ),
If both expressions are unified, and we would obviously obtain,
Applying the above simplifications Obtaining finally, in a total elegant form, legible, brief and comprehencible to anyone, the equation: . . . which, being honest, is by far more professional than the original !