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Suppose a pair of random variable is independent from another pair, does it mean that each random variable is independent from the other?

Let $(X_1, Y_1)$, and $(X_2, Y_2)$ be two pairs of random variables, and they are assumed to be independent. Does it mean that:$X_1$ is independent from ...

2

Mathematics Asked on 2 years ago

How do I verify this scaling relation?

I have a PDE as follows- $ifrac{partial u}{partial xi} + frac{1}{2}frac{partial^2u}{partial tau^2} + |u|^2u = 0$ My book says that if $u(xi,tau)$ is a solution of the PDE,...

0

Mathematics Asked on 2 years ago

$arg(r_+) = 0$ and $arg(r_-) = pi$

$r_+$ = positive real number $r_-$ = negative real number I am confused $arg(r_+) = 0$ and $arg(r_-) = pi$ for $arg(r-) = pi$ :...

1

Mathematics Asked on 2 years ago

Run conduit from exterior sconce

We have a sconce on the outside of our brick house on a covered patio currently. I would like to run conduit from it to allow us to place...

1

Home Improvement Asked on 2 years ago

Connecting Common Wire to Control Board

I have a heat pump and want to add a thermostat that requires a common wire. I have read through many threads that show how to add a wire...

1

Home Improvement Asked on 2 years ago

Can mold be leaking through pipes cracks/holes?

I know that mold is definetely leaking through some of the deep holes in my flat. You can see brick in the holes as well as space for air...

2

Home Improvement Asked on 2 years ago

How to add small ramp or level painted concrete?

I have a small patio (10'x6') with painted (oil based) concrete. It has a slightly uneven slope resulting in standing water with heavy rain. I would like to add a...

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Home Improvement Asked on 2 years ago

Shower diverter turns but doesn't divert

I just bought a house with a bathroom that has 3 spouts: bath, shower, and hand-held shower. There's a diverter knob (circled in red in image) that's used to control...

1

Home Improvement Asked on 2 years ago

How is an air handler's fan controlled if its control board doesn't have a G terminal?

BackgroundI have a 2-stage cooling heat pump unit from Bryant, installed ~2006 (central Florida):Condenser model 698BNX048-BHandler model FE4ANB006Shortly after moving in ~5 years ago, our evap coil was freezing over...

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Home Improvement Asked on 2 years ago

Is the purple wire on AC blower motor common wire?

I’m replacing my AC blower motor. The old one had Red,Blue, Black wires for speeds, white Common, and brown & brown/white wires to the capacitor. (Yellow, purple wires for rotation)....

1

Home Improvement Asked on 2 years ago

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