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• Marwan Refaat

# Euler's Texting

Prompt to chatGPT: Write a blog post about the importance of replying to emails and texts quickly and how answering quickly allows you to compound exponentially at a rate closer to E rather than less frequent compounding and explain in mathematical terms how this works Response: In today's fast-paced world, it's more important than ever to reply to emails and texts quickly. Not only does responding quickly demonstrate professionalism and respect, but it also allows you to compound exponentially at a rate closer to E. But what does that mean in mathematical terms? Well, E is the base of the natural logarithm, and it is approximately equal to 2.71828. This number may not mean much on its own, but when it comes to compounding, it can make a big difference. To understand how this works, let's consider an example. Imagine that you receive a request for information via email. If you respond to that email within an hour, you have the opportunity to continue the conversation and potentially build a relationship with the person who reached out to you. However, if you wait a day or more to respond, that opportunity may be lost. The difference between responding quickly and not may not seem like much in the moment, but over time, it can have a significant impact. This is because the rate of compounding is directly related to the frequency of interactions. The more frequently you interact with someone, the more opportunities you have to build a relationship and potentially generate value. So, in mathematical terms, the importance of responding quickly can be expressed as follows: If x represents the number of opportunities to interact with someone, and y represents the value generated from each interaction, then the total value generated from those interactions can be calculated by raising E to the power of x times y. In other words, if you respond quickly and have frequent interactions, the total value generated will be closer to E than if you respond less frequently and have fewer interactions. In conclusion, responding quickly to emails and texts is important not only for professional reasons, but also for the potential value it can generate. By compounding exponentially at a rate closer to E, you can maximize the potential value of your interactions and build stronger relationships.