WebDec 14, 2012 · When the first characters in a script are #!, that is called the shebang. If your file starts with #!/path/to/something the standard is to run something and pass the rest of the file to that program as an input. With that said, the difference between #!/bin/bash, #!/bin/sh, or even #!/bin/zsh is whether the bash, sh, or zsh programs are used to ... WebApr 20, 2015 · The equation is e x = 1 − x and the two sides of the equation are plotted here (from Wolfram Alpha): The intuition for a formal proof also follows directly from the picture (the functions are both monotonic but in opposite directions), if that's your aim. Share answered Sep 28, 2012 at 20:04 Jonathan 8,138 2 21 39 Add a comment 11

another balls and bins question - Mathematics Stack Exchange

WebThe Mean and Variance of X For n = 1, the binomial distribution becomes the Bernoulli distribution. The mean value of a Bernoulli variable is = p, so the expected number of S’s … highlander foxhole

Derivative of e^-x: Proof by First Principle, Chain Rule

WebAlgebra. Solve for x e^x=3. ex = 3 e x = 3. Take the natural logarithm of both sides of the equation to remove the variable from the exponent. ln(ex) = ln(3) ln ( e x) = ln ( 3) Expand the left side. Tap for more steps... x = ln(3) x = ln ( … WebThose two conditional expectations differ in general: E [ E ( X Y) Z] ≠ E [ X Y, Z] As a matter of fact, strictly speaking, they do not even live in the same functional space as the first one is a function of Z, measurable wrt σ ( Z), the σ algebra induced by Z, while the second one is a function of ( Y, Z), hence measurable wrt σ ( Y, Z ... WebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. how is courtly love shown in romeo and juliet