query: How to construct an example for the entropy equation: $H(Z)=H(X)+H(Y)$ where $Z=X+Y$
positive_passages.docid: 148030
positive_passages.text: Entropy of sum is sum of entropies
negative_passages.docid: 29151
negative_passages.text: Equation with Vieta Jumping: $(x+y+z)^2=nxyz$.
negative_passages.docid: 117978
negative_passages.text: differentiation using formal definition i.e. $(x+h)$
negative_passages.docid: 8276
negative_passages.text: How do I get my equation to have the form $(x-a)^2 + (y-b)^2 + (z-c)^2-d = 0$?
negative_passages.docid: 1932
negative_passages.text: How to show this equality of $\rho(X,Y)$
negative_passages.docid: 55016
negative_passages.text: Prove that if ($d(x,y)=0$ iff $x=y$) and if $d(x,z)\leq d(x,y)+d(z,y)$ then $d$ is a metric
negative_passages.docid: 154822
negative_passages.text: Properties of the composition law $a @ b= ab + b + a$ on the real numbers
negative_passages.docid: 153456
negative_passages.text: What is the random variable $Z$ by the notation $Z =X/Y$?
negative_passages.docid: 144515
negative_passages.text: Equation with high exponents
negative_passages.docid: 28350
negative_passages.text: $\lambda=\frac{2h}{p}$ instead of $\lambda=\frac{h}{p}$?
negative_passages.docid: 71360
negative_passages.text: How do I represent the following equations
negative_passages.docid: 96919
negative_passages.text: Characteristic equation of a recurrence relation
negative_passages.docid: 49073
negative_passages.text: how to obtain solution for $u_t+u=u_{xx}$
negative_passages.docid: 13831
negative_passages.text: Find $ P(Z>X+Y)$ where $X,Y,Z \sim U(0,1)$ independently
negative_passages.docid: 70734
negative_passages.text: Entropy and the principle of least action
negative_passages.docid: 119270
negative_passages.text: Finding equation using hyperbolic transcendental functions.
negative_passages.docid: 32856
negative_passages.text: Functional equations $f(x+y)= f(x) + f(y)$ and $f(xy)= f(x)f(y)$