what are soldier beans?

After the failure of revolution in Germany in 1848 Marx and Engles were trying to analyze the reasons for the failure and a possible solution.  They feared that the peasantry had been enervated by a diet that relied too much on potatoes. One of them reportedly exclaimed: "It's beans that will nourish our peasantry to a vigorous and manly disposition!"  Alas, just so much gas.

As the Dutch said while fighting the Spanish: "It is not necessary to have hope in order to persevere."

Would it really, though? I can see that riding a bicycle to the gym instead of a car would work to reduce a person's fossil energy consumption, but the actual amount of cycling done _in_ the gym would surely be insufficient to compensate for the energy wasted in driving to the gym and back.

If you wanted to generate an equivalent amount of energy, you'd have to be pedalling a bicycle with a mass of 1 ton or thereabouts, and the hard part is slowing down at all the stop signs and accelerating up again. On the plus side, if you did this regularly, you would have excellent prospects at the Tour de France ;)

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$E(X_t|F_s) = X_s,\quad t > s$