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  1. Proof that the exponential function is convex - Physics Forums

    Nov 24, 2020 · I try to proof it but i got stuck right here, i want your opinions Can I get a solution if i continue by this way? or Do I have to take another? and if it is so, what would yo do?

  2. Proving Continuity of e^x - A Delta Epsilon Proof - Physics Forums

    May 23, 2011 · i'm battling unsuccessfully to find a delta epsilon proof for continuity of exponential function. this is what I've tried so far but its failed either because I've gone down a blind alley or got …

  3. Proove that e^x is always positive - Physics Forums

    Feb 16, 2013 · May sound trivial but I don't find it trivial from the things I am given as a definition of the exponential function: The exponential function satisfies f(a+b)=f(a)f(b), is the inverse to the ln and is …

  4. How to do dimensional analysis of exponential functions?

    Jun 20, 2012 · This may sound like a homework-type, but it isn't from any piece of homework, I just want to know how to do dimensional analysis by giving an example. Let's have this simple equation: k = …

  5. Absolute value of complex exponential equals 1 - Physics Forums

    Apr 16, 2013 · Hello all, I'm having trouble showing that |e^it|=1, where i is the imaginary unit. I expanded this to |cos(t)+isin(t)| and then used the definition of the absolute value to square the …

  6. Exponential functions - converting a linear equation - Physics Forums

    Oct 25, 2011 · The discussion revolves around converting an unknown exponential function into a specific form by using logarithmic transformations. The user starts with the function y1 = f1 (t) and …

  7. Limits of Complex exponentials • Physics Forums

    Apr 6, 2005 · The complex exponential can be visualized as a point on the unit circle in the complex plane, representing oscillation between cosine and sine functions. The discussion highlights that the …

  8. Is BIBO applicable for non-linear functions? - Physics Forums

    Mar 7, 2014 · Is exponential function e to the power x [t] stable? My book uses BIBO and says its stable but for -x [t] it says its not stable. Is my book wrong?

  9. Losing the Units: Explaining Why Exponentials are Dimensionless ...

    Oct 2, 2012 · Hi All and sorry if this is too easy a question but here goes... Sines, Cosines and the rest of the trig functions are the ratio of two lengths and thus are dimensionless quantities. That is if I plug in …

  10. Why must exponents be dimensionless? • Physics Forums

    Feb 8, 2013 · Exponents must be dimensionless because dimensions, such as meters or kilograms, are physical quantities rather than mathematical objects. In mathematical expressions, if an exponent …