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First language designed to support embedding?

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Clash Royale CLAN TAG #URR8PPP up vote 3 down vote favorite Some languages like Python, Lua, and Tcl are designed with the intention that you can easily embed the interpreter into some other native program. For example, many VFX applications like Nuke, Maya, and Houdini have an embedded Python script editor that executes the Python scripts in-process so they can manipulate the host application. Lua is popular as a language embedded in some games. What was the first such scripting language that was specifically intended to be hosted inside of some other large host process, rather than just being invoked externally by shelling out the way you might execute a typical Bash or Perl script? programming share | improve this question asked 8 hours ago wrosecrans 119 3 New contributor wrosecrans is a new contributor to this site. Take care in asking for clarification, commenting, and answering. Check out our Code of Conduct. 1 Tough...

Prove that a product's limit converges to a sum

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Clash Royale CLAN TAG #URR8PPP up vote 3 down vote favorite I accidentally discovered this equality, in which I can prove numerically using python. $$lim_ktoinfty sqrt[n] prod_i=1^n(x_i+k) - k = fracsum_i=1^nx_in$$ But I need to prove this equality in an algebraic way and I could not get anywhere. The right-hand side is nothing more than an arithmetic mean, while the left-hand side is a modification of the geometric mean. I hope someone can help me at this point. real-analysis discrete-mathematics means share | cite | improve this question edited 2 hours ago asked 3 hours ago Gustavo Ale 21 3 New contributor Gustavo Ale is a new contributor to this site. Take care in asking for clarification, commenting, and answering. Check out our Code of Conduct. add a comment  |  up vote 3 down vote favorite I accidentally discovered this equality, in which I can prove numerically using pytho...