If a child had a single drop of Negro blood, he would revert to the ancestral line which, except as slaves under a superior race, had not made one step of progress in 3,000 years.

If **ya is the multiple secant of **zg which passes through Af and **yb is the simple secant of **zg which passes through Af, and if Af are the points in which **ya meets **zg, and if Af is the image of Af on the generator **yb, it follows that the image of the line Af is Af.

If goodness and badness lie in attitudes only and hence are brought into being by them, those men who greeted death and misery with childishly merry laughter are taking the only sensible line.

If the cutting force, Af, is plotted against film thickness, a straight line should result passing through the origin and having slope Af.

If one also removes the second postulate (" a line can be extended indefinitely ") then elliptic geometry arises, where there is no parallel through a point outside a line, and in which the interior angles of a triangle add up to more than 180 degrees.

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.

Queen Boadicea features in the opening lyrics of the song " The Good Old Days " written by Pete Doherty and Carl Barat for British rock band The Libertines from their 2002 album " Up the bracket ", the line reads, " If Queen Boadicea is long dead and gone, Still then the spirit in her children's children's children, it lives on ".

If that steady-state signal was interrupted, it indicated one of two things: either the operator was about to start transmitting, or something else had happened to break the connection — such as a physical break in the telegraph line.

If Macbeth, rather than Malcolm, is Prince of Cumberland then Macbeth would be next in line to the throne and no coup would be needed, effectively removing this ambiguity from Banquo's character.

If the shooter " hits " the point value again ( any value of the dice that sum to the point will do ; the shooter doesn't have to exactly repeat the value combination of the come-out roll ) before rolling a seven, the Pass line wins and a new round starts, usually with the dice staying with the current shooter.

If the shooter rolls any seven before repeating the point number ( a " seven-out "), the Pass line loses and the dice pass to a new shooter for the next round.

* If the dealer's button is on, the table is in the point round where most casinos will allow a pass line bet to be placed.

If a 4, 5, 6, 8, 9, or 10 is thrown on the come-out roll ( i. e., if a point is set ), most casinos allow pass line bettors to take odds by placing from one to five times ( and at some casinos, up to 100 times ) the pass line bet behind the pass line.

If a player is playing don't pass instead of pass, they may also lay odds by placing chips behind the don't pass line.

If is any unit vector, the projection of the curl of F onto is defined to be the limiting value of a closed line integral in a plane orthogonal to as the path used in the integral becomes infinitesimally close to the point, divided by the area enclosed.

If the axial load on the column is not concentric, that is, its line of action is not precisely coincident with the centroidal axis of the column, the column is characterized as eccentrically loaded.

* If the offence scores a field goal, the scoring team must kickoff from their own 35-yard line.

* If the offence scores a touchdown, the scoring team must kickoff from their own 35-yard line.

If the original penalty yardage would have resulted in a first down or moving the ball past the goal line, a first down is awarded.

Thus, in 1964, in A Hard Day's Night, John Lennon mischievously taunts the road manager with the line “ If you're gonna have a barney, can I hold your coat ?".

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 the line passes through the leftmost portion of the pixel, only the red subpixel is lit ; if it passes through the rightmost portion of the pixel, only the blue subpixel is lit.

If the medication is mixed with formulas containing iron or soya products, larger doses may be required, as these substances may alter the absorption of thyroid hormone from the gut.

If the earlier completion procedure is applied to a normed vector space, the result is a Banach space containing the original space as a dense subspace, and if it is applied to an inner product space, the result is a Hilbert space containing the original space as a dense subspace.

If the incident light is unpolarised ( containing an equal mix of s-and p-polarisations ), the reflection coefficient is

If a player's piece lands on a square containing an opponent's piece, the opponent's piece is captured and returns to the starting area.

If foods containing tryptophan are consumed, hyperserotonemia may result.

If they do not designate a new ruler after three days, then they open a letter left to them by the deceased Sultan, containing a recommendation for a new Sultan.

If the volcano rests on sediments containing mechanically weak layers ( e. g., beds of water-saturated clay ), detachment zones ( decollements ) may develop in the weak layers.

If organic or inorganic contaminations are present on the wafer surface, they are usually removed by wet chemical treatment, e. g. the RCA clean procedure based on solutions containing hydrogen peroxide.

If it is carried as packetized data over the Internet, anyone able to watch the packets containing the logon information can snoop with a very low probability of detection.

If values are stored by reference, e. g. objects, null references can be used and so the cluster can be represented by a vector containing 3 slots for value pointers plus 4 slots for child references in the tree.

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 alkaline transfer methods are used, the DNA gel is placed into an alkaline solution ( typically containing sodium hydroxide ) to denature the double-stranded DNA.

# If N is a subset of X containing a neighbourhood of x, then N is a neighbourhood of x.

If the pages containing these pointers or the code that they invoke were pageable, interrupt-handling would become far more complex and time-consuming, particularly in the case of page fault interrupts.

If he was less effective than his father in containing the Norman lords ' propensity for rebellion and violence, through charisma, or political skills, he was forceful in overcoming the consequences.

If the convex hull of X is a closed set ( as happens, for instance, if X is a finite set or more generally a compact set ), then it is the intersection of all closed half-spaces containing X.

If the hardened carrier is buried under ground, to secure cables running between buildings for example, the carrier containing the cables is encased in concrete.

If one considers the flux of the electric field vector, E, for a tube near a point charge in the field the charge but not containing it with sides formed by lines tangent to the field, the flux for the sides is zero and there is an equal and opposite flux at both ends of the tube.

If a block / subgraph is not connected from the subgraph containing the entry block, that block is unreachable during any execution, and so is unreachable code ; it can be safely removed.

If you are measuring the weight of some water, and you have a cup containing the water on a weighing scale, you must subtract the weight of the cup itself from your measurement, if you want to know the true weight of only the water itself.

If a box containing hazardous material is moved around and shifted into different positions, it is still easy to recognize the symbol.

Consider a jar containing N lottery tickets numbered from 1 through N. If you pick a ticket randomly then you get positive integer n, with probability 1 / N if n ≤ N and with probability zero if n > N. This can be written

If R qualifies as a member of itself, it would contradict its own definition as a set containing all sets that are not members of themselves.

If the currency being withdrawn from the ATM is different from that which the bank account is denominated in ( e. g.: Withdrawing Japanese Yen from a bank account containing US Dollars ), the money will be converted at an official wholesale exchange rate.