If the navigator draws two lines of position, and they intersect he must be at that position.

If a navigator measures the angle to Polaris and finds it to be 10 degrees from the horizon, then he is about 10 degrees north of the equator.

If it is worn constantly, keeping it near body heat, its rate of drift can be measured with the radio, and by compensating for this drift, a navigator can keep time to better than a second per month.

If the signal from two stations arrived at the same time, the aircraft must be an equal distance from both transmitters, allowing the navigator to determine a line of position on his chart of all the positions at that distance from both stations.

If three position lines can be obtained, the resulting " cocked hat ", where the 3 lines do not intersect at the same point, but create a triangle where the vessel is inside, gives the navigator an indication of the accuracy in the three separate position lines.

If x and y are real numbers, and if the graph of y is plotted against x, the derivative measures the slope of this graph at each point.

If Alice measures − x, the system collapses into state IIa, and Bob will get + x.

If he or she is also chief executive, he or she can thus politically control the necessary executive measures without which a proclaimed law can remain dead letter, sometimes for years or even forever.

If fleas or ticks are found, aggressive measures are in order.

# If A is a disjoint union of countably many disjoint Lebesgue measurable sets, then A is itself Lebesgue measurable and λ ( A ) is equal to the sum ( or infinite series ) of the measures of the involved measurable sets.

Alice could send bits to Bob in the following way: If Alice wishes to transmit a " 0 ", she measures the spin of her electron in the z direction, collapsing Bob's state to either or.

If comrade Molotov can manage to postpone the war for two or three months that will be our good fortune, but you yourselves must go off and take measures to raise the combat readiness of our forces ".

: If a person traveling with a yardstick, measures the length of such yardstick, the physical quantity of length would be written as

If each of two hypothetical experimenters, Alice and Bob, has one of the particles that form an entangled pair, and Alice measures the spin of her particle, the measurement will be entirely unpredictable, with a 50 % probability of the spin being up or down.

If Alice then " measures " her half-coin, by opening her envelope, for her the measurement will be unpredictable, with a 50 % probability of her half-coin being " heads " or " tails ", and Bob's " measurement " of his half-coin will always be opposite, hence perfectly anti-correlated.

If the latter occurs, ( Alice measures 1 ) then Bob's measurement will return 0 with certainty.

If one measures by arc length one finds that the shortest path connecting two points lying entirely in the sphere is a segment of the great circle containing the points ; see geodesic.

:: If Alice wishes to transmit a ' 0 ', she measures the spin of her electron in the z direction, collapsing Bob's state to either | z +>< sub > B </ sub > or | z ->< sub > B </ sub >.

If Alice wishes to transmit a ' 1 ', she measures the spin of her electron in the x direction, collapsing Bob's state to either | x +>< sub > B </ sub > or | x ->< sub > B </ sub >.

If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar.

If directional shear between the surface and the height in the atmosphere at which the barometric pressure measures is greater than 60 degrees, nothing more than flurries can be expected.

If the directional shear between the body of water and the vertical height at which the pressure measures is between 30 and 60 degrees, weak lake-effect bands are possible.

If the micrometer measures 0. 7503 ", then it is out of calibration.

If these measures are insufficient to make the blood temperature in the brain match the new setting in the hypothalamus, then shivering begins in order to use muscle movements to produce more heat.

If the union rate is $ 60 per page and 20 measures were orchestrated then the orchestrator's bill would be $ 300 plus 10 % for health and pension.

As an example, if one measures the position with an accuracy of, and the momentum with an accuracy of, then If we make further measurements in order to get more information, we disturb the system and change the trajectory into a new one depending on the measurement setup ; therefore, the measurement results are still subject to Heisenberg's uncertainty relation.

If elimination or substitution measures cannot be achieved, engineering controls and administrative controls, which seek to design safer mechanisms and coach safer human behavior, are implemented.

If they failed, the provincial government could carry out the necessary measures and charge the costs to the landowner or municipality.

If a child watched its progress he whispered, `` Hay, hay, load of hay -- make a wish and turn away '', and then stared rigidly in the opposite direction until the sound of the horses' feet returned no more.

If they give him advice when he asks it, or if they perform specified duties under his direction, the nature of the U. N. will not of necessity change.

If the vertex is at Af, and if the interior of C is on the left as one moves in the direction of increasing t, then every such corner can be found from the curve obtained by rotating C clockwise through 90-degrees about the vertex.

If the polarities are correct, the platform rotates in such a direction as to reduce the accelerometer output to zero.

# If isotherms are concave towards the " north-east " direction ( 45 °), then adiabats are concave towards the " east north-east " ( 31 °).

If the fletching is not arranged to induce rotation, it will still improve accuracy by causing a restoring drag any time the arrow tilts away from its intended direction of travel.

If light moves instantaneously, the telescope does not move, and the true direction of the star relative to the observer can be found by following the line ES.

If this limit doesn't exist then there is no oblique asymptote in that direction.

If this limit fails to exist then there is no oblique asymptote in that direction, even should the limit defining m exist.

If an opponent tries to anticipate the stroke, he may move in the wrong direction and may be unable to change his body momentum in time to reach the shuttlecock.

If the patient's eyes move in a direction opposite to the direction of the rotation of the head, then the patient is said to have an intact brainstem.

If the thumb points in the direction of the 4th substitutent, the enantiomer is R. Otherwise, it's S.

If we are to keep a right-handed coordinate system, into the page will be in the negative z direction.

If the driving member rotates in the direction that would unwind the spring the spring expands minutely and slips although with some drag.

If the bacterium senses that it is moving in the correct direction ( toward attractant / away from repellent ), it will keep swimming in a straight line for a longer time before tumbling.

If it is moving in the wrong direction, it will tumble sooner and try a new direction at random.

If a neighboring atom moves to occupy the vacant site, the vacancy moves in the opposite direction to the site which used to be occupied by the moving atom.

If waves are emitted from an extended source, this can lead to incoherence in the transversal direction.

If the fields have components in the same direction, they constructively interfere, while opposite directions cause destructive interference.

If, as is most common, this flow is carried by electrons, they will be travelling in the opposite direction.

If the current is driven in the opposite direction by imposing an external potential, then work is done on the cell to drive electrolysis.

If the mark is encountered again and the painter is traveling in the same direction, then the painter knows that it is safe to paint the square with the mark and to continue in the same direction.