How To Be More Impressive

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Suppose we want to publish something that is as simple as:

1+1=2 1 plus 1 equals 2 (1) 1

This is not very impressive. If we want our article to be accepted by IEEE reviewers, we have to be more abstract. So, we could complicate the left hand side of the expression by using

ln⁡ℇ=1 l n ℇ equals 1 and sin2⁡x+cos2⁡x=1 sine squared x plus cosine squared x equals 1

and the right hand side can be states as

2=∑n=0∞12n 2 equals the sum from n equals 0 to infinity of the fraction with numerator 1 and denominator 2 to the n-th power

Therefore, Equation(1) 1 can be expessed more scientifically as:

ln⁡ℇ+(sin2⁡x+cos2⁡x)=∑n=0∞12n l n ℇ plus open paren sine squared x plus cosine squared x close paren equals the sum from n equals 0 to infinity of the fraction with numerator 1 and denominator 2 to the n-th power (2) 2

which is far more impressive. However, we should not stop here. The expression can be further complicated by using

ℇ=lim𝓏→∞⁡(1+1𝓏) ℇ equals lim over script z right arrow infinity of open paren 1 plus 1 over script z close paren and 1=cosh⁡(y)⁢1-tanh2⁡y 1 equals hyperbolic cosine of y the square root of 1 minus hyperbolic tangent squared y.

Equation(2) 2 may therefore be written as

ln⁡[lim𝓏→∞𝓏⁡(1+1𝓏)]+(sin2⁡x+cos2⁡x)=∑n=0∞cosh⁡(y)⁢1-tanh⁡y2n l n of open bracket lim from script z right arrow infinity to script z of open paren 1 plus 1 over script z close paren close bracket plus open paren sine squared x plus cosine squared x close paren equals the sum from n equals 0 to infinity of the fraction with numerator hyperbolic cosine of y the square root of 1 minus hyperbolic tangent of y and denominator 2 to the n-th power

Note: Other methods of a similar nature could also be used to enhance our prestige, once we grasp the underlying principles.