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BiologyEnthusiast Asks: Car jerks when low on fuel during acceleration and turning but then runs ok
I found a weird problem with my BMW E90. Recently when the fuel was low the car jerks when accelerating from start position and when the car is running it runs fine. Also yesterday while at the roundabout the car stopped while turning.

The jerky motion come in pulses and when turning on roundabout it doesnt even accelerate (only when low on fuel)
Could this be due to some block in the fuel system? But that doesnt explain nominal running after it has picked up speed.

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Germania Asks: Why do two atoms of iron or an iron bar not create an electric field if there is a magnetic field created by individual Iron atoms?

Electricity and magnetism are essentially two aspects of the same thing, because a changing electric field creates a magnetic field, and a changing magnetic field creates an electric field.

So why do two atoms of iron not create a electric field?

I heard Loadstone creates an electric field and a magnetic field.

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Gerald Asks: If our body contained a uniform charge distribution, would we feel ourselves being accelerated in a uniform electric field?
Suppose our body contained a uniform and continuous distribution of electric charge. Let's not care about the actual possibility. Of course this is impossible, but just let's assume that it's somehow attached to our physical body and it stays stationary. Just imagine adding charge to all particles while they all stay in place.

Out in space, we step into a uniform electric field. We will diverge from our geodesic worldline. Will we feel the acceleration? Do the relatively heavy parts of our body show the tendency to lag behind the lower-mass parts (which feels like internal stress? Could we consider it a tidal effect?

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Shaon Singha Asks: Rules for choosing u and v for integrating by parts when both the terms are of the same type?
For example, ∫cosec^3x dx can be broken down as ∫cosecx.cosec^2x dx. Now for integrating by parts we need to choose a term as u and the other as v. Both being trigonometric functions, what order should be followed if any?

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user12345678 Asks: Linear programming with "nice" matrices
Consider the following linear programming problem \begin{array}{ll} \text{minimize} & \mathrm 1^{\top} \mathrm x\\ \text{subject to} & v\le \mathrm A \mathrm x \le u\\ & \mathrm x \geq 0 \end{array} Suppose $A$ is a 'very nice' matrix: highly structured, positive-definite, we know all eigenvalues/eigenvectors. Are there any special methods, approaches, or tricks which could help us accelerate numerical solution and/or analysis of the problem.

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