If the opponents win the rally and their new score is even, the player in the right service court serves ; if odd, the player in the left service court serves.

If a group has an involution with a 2-component that is a group of Lie type of odd characteristic, the goal is to show that it has a centralizer of involution in " standard form " meaning that a centralizer of involution has a component that is of Lie type in odd characteristic and also has a centralizer of 2-rank 1.

# If the remainder from dividing N by 6 is not 2 or 3 then the list is simply all even numbers followed by all odd numbers ≤ N

# If the remainder is 2, swap 1 and 3 in odd list and move 5 to the end ( i. e. 3, 1, 7, 5 )

# If the remainder is 3, move 2 to the end of even list and 1, 3 to the end of odd list ( i. e. 4, 6, 8, 2-5, 7, 9, 1, 3 )

# If p is an odd prime, then any prime q that divides 2 < sup > p </ sup > − 1 must be 1 plus a multiple of 2p.

# If p is an odd prime, then any prime q that divides must be congruent to ± 1 ( mod 8 ).

# If move leaves no heap of size 2 or larger, leave an odd ( misère ) or even ( normal ) number of heaps of size 1

If there was an odd number of competitors, there would be a bye ( ἔφεδρος — ephedros " reserve ") in every round until the last one.

If it were rational, it could be expressed as a fraction a / b in lowest terms, where a and b are integers, at least one of which is odd.

If there is an odd number of larger chips, smaller chips from the pot can be used to equalize stacks or make change as necessary.

* If playing a high-low split game and dividing a pot between the high and low hands, always award the odd chip to the high hand.

* If splitting a pot because of tied hands, award the odd chip to the hand that contains the highest-ranking single card, using suits to break ties if necessary ( clubs ranking the lowest, followed by diamonds, hearts, and spades as in bridge ).

If n is odd, this representation is irreducible.

If n = 2k is even, then let W ′ be an isotropic subspace complementary to W. If n = 2k + 1 is odd let W ′ be a maximal isotropic subspace with W ∩ W ′

If a strip with an odd number of half-twists is cut in half along its length, it will result in a longer strip, with the same number of loops as there are half-twists in the original.

If n is odd, multiply it by 3 and add 1 to obtain 3n + 1.

* If the number is odd, triple it and add one.

If an odd number of bits is changed in transmission, the message will change parity and the error can be detected at this point.

< li > If r is odd, go back to step 1 .</ li >

If the outcome is the element of the elementary event of two pips on the first die and five on the second, then both of the events of " 7 pips " and " odd number of pips " have also happened.

If one pursues this heuristic, one might expect the total number of ways to write a large even integer n as the sum of two odd primes to be roughly

( a ) If k is odd,.

If clay is slightly out of shape, square straight sides with guide sticks or rulers pressed against opposite sides, or smooth round pieces with damp fingers.

If you quarter a pumpkin, you are left with a balalaika shape.

If light consisted strictly of ordinary or classical particles, and these particles were fired in a straight line through a slit and allowed to strike a screen on the other side, we would expect to see a pattern corresponding to the size and shape of the slit.

If we choose the shape of the control volume such that all flow in or out occurs perpendicular to its surface, then the flow of matter into the system performs work as if it were a piston of fluid pushing mass into the system, and the system performs work on the flow of matter out as if it were driving a piston of fluid.

If drain-to-source voltage is increased, this creates a significant asymmetrical change in the shape of the channel due to a gradient of voltage potential from source to drain.

If the meteoroid maintains a fixed orientation for some time, without tumbling, it may develop a conical " nose cone " or " heat shield " shape.

If the pressure is steady, there is no more stimulus ; thus, typically these neurons respond with a transient depolarization during the initial deformation and again when the pressure is removed, which causes the corpuscle to change shape again.

If E < sub > i </ sub > is a sine wave, triangular wave, or wave of any other shape that is symmetrical around zero, the zero-crossing detector's output will be square.

If the piece of mantle should slip off the bead, a pearl forms of baroque shape about the mantle piece which is entirely nacre.

If the circle is replaced by an ellipse, and rotated about the major axis, the shape becomes a prolate spheroid, rotated about the minor axis, an oblate spheroid.

If a person ‘ synthesizes ’ a ‘ jet plane landing ’ sound, this is achieved mostly by altering the shape of the mouth to filter the white noise into pink noise by removing the higher frequencies.

If a similar set of disks and a housing with an involute shape ( versus circular for the turbine ) are used, the device can be used as a pump.

If a traveling wave has a fixed shape that repeats in space or in time, it is a periodic wave.

If a flat ribbon or strip is tightly folded into a flattened overhand knot, it assumes a regular pentagonal shape.

If the wave shape being measured is greatly different from a sine wave, the relationship between RMS and average value changes.

If the error originates from the parts of the micrometer being worn out of shape and size, then adjustment back to accuracy is not possible ; rather, repair ( grinding, lapping, or replacing of parts ) is required in order to return to full accuracy.

If the cross-section of the circular object deviates slightly from its circular shape ( but it still has a sharp edge on a smaller scale ) the shape of the point-source Arago spot changes.

If your attention is drawn to a flower in a field, it may be because the color or shape of the flower are visually salient.

If the amino acids that are in the chain are changed, the shape of the histone sphere might be modified.

If the pulse has just the right shape, the Kerr effect will exactly cancel the dispersion effect, and the pulse's shape won't change over time: a soliton.

* If the gland retains its shape as a tube throughout it is termed a tubular gland.

If the pipes are the same size and shape, the pipe full of sand has higher resistance to flow.

If most of the time the substantial portion of the references aggregate into clusters, and if the shape of this system of clusters can be well predicted, then it can be used for speed optimization.