Example 1: If a 1000-Ω resistor is connected in parallel with a3000-Ω resistor, what is the total or equivalent resistance? Alsocalculate total current and individual currents, as well as thetotal and individual dissipated powers.R R RR R1000 30001000 30003, 000, 0004000 750total1 21 2= ×+ = Ω × ΩΩ + Ω = ΩΩ = ΩTo find how much current flows through each resistor, applyOhm’s law:I VRI VR12 V1000 0.012 A 12 mA12 V3000 0.004 A 4 mA111222= = Ω = == = Ω = =These individual currents add up to the total input current:Iin = I1 + I2 = 12 mA + 4 mA = 16 mAThis statement is referred to as Kirchhoff’s current law. Withthis law, and Ohm’s law, you come up with the current divider

This input embedding is the initial value of the residual stream, which all attention layers and MLPs read from and write to.

good enough to clearly image the internal workings of a de-capped integrated circuit

A falsey return value from #validate will deviate the flow and go straight to End.fail_fast.

Important caveat: in the combined expression, if the middle command has a non-zero exit status, then both the middle and the rightmost command end up getting executed.

bedmap && mv || fail

⟫ true && false || echo 'fail'
fail

⟫ false && true || echo 'fail'
fail

The potential problem: if second_task fails, third_task will not run, and execution will continue to the next line of code - next_task, in this example. This may be exactly the behavior you want. Alternatively, you may be intending that if second_task fails, the script should immediately exit with its error code. In this case, the best choice is to use a block - i.e., curly braces: first_task && { second_task third_task } next_task Because we are using the -e option, if second_task fails, the script immediately exits.

When people write COND && COMMAND, typically they mean "if COND succeeds (or is boolean true), then execute COMMAND. Regardless, proceed to the next line of the script." It's a very convenient shorthand for a full "if/then/fi" clause.

For instance, cor does not distribute over cand: compare (A cand B) cor C with (A cor C) cand (B cor C); in the case ¬A ∧ C , the second expression requires B to be defined, the first one does not

this system enables longer duration production, and could be readily applied to burdensome or toxic products not readily produced in bacteria

Figure 3: Motor system with flip switch and potentiometer