If the rake angle **yc of the knife is high enough and the friction angle **yt between the front of the knife and the back of the chip is low enough to give a positive value for Af, the resultant vector R will lie above the plane of the substrate.

If she chose, and in that final decision discarded, what, above all, all of us value, life itself, must she not have risen to her fullest height, and transcending her murky self, felt at last the passion of a great moral decision??

* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.

If you move them toward the beam, you count their value.

If you move away, you don't count their value.

If an alpha channel is used in an image, it is common to also multiply the color by the alpha value, to save on additional multiplications during compositing.

If the minimum legal value for every index is 0, then B is the address of the element whose indices are all zero.

If the function R is well-defined, its value must lie in the range, with 1 indicating perfect correlation and − 1 indicating perfect anti-correlation.

* If the operation is associative, ( ab ) c = a ( bc ), then the value depends only on the tuple ( a, b, c ).

* If the operation is commutative, ab = ba, then the value depends only on

If the hand value exceeds 21 points, it busts, and all bets on it are immediately forfeit.

* Split ( only available as first decision of a hand ): If the first two cards have the same value, the player can split them into two hands, by moving a second bet equal to the first into an area outside the betting box of the original bet.

If X is a Banach space and K is the underlying field ( either the real or the complex numbers ), then K is itself a Banach space ( using the absolute value as norm ) and we can define the continuous dual space as X ′ = B ( X, K ), the space of continuous linear maps into K.

If a node has fewer than two children, some of the child pointers may be set to a special null value, or to a special sentinel node.

If the opponent drops the doubled stakes, he loses the game at the current value of the doubling cube.

If a house or car is above a certain value, the bankrupt can buy the interest back from the estate in order to keep the asset.

If a mutual is large, or is expected to grow if it can raise capital by a conversion, its managers derive more value from a conversion but do not suffer much loss of perks than if the bank were small.

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 roll is any other value, it establishes a point ; if that point is rolled again before a seven, the bet wins.

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 its value is 127 and it is instructed to add one, the computer can not store the number 128 in that space.

If, i. e., it has a large norm with each value of s, and if, then Y ( s ) is approximately equal to R ( s ) and the output closely tracks the reference input.

If the rich man is to be saved, all he must do is to follow the two commandments, and while material wealth is of no value to God, it can be used to alleviate the suffering of our neighbor.

If the circumstances are faced frankly it is not reasonable to expect this to be true.

If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.

If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.

If they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;

If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.

If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.

If it is an honest feeling, then why should she not yield to it??

If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.

If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.

If he is good, he may not be legal ; ;

If the man on the sidewalk is surprised at this question, it has served as an exclamation.

If the existent form is to be retained new factors that reinforce it must be introduced into the situation.

If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??

If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.

If he is a traditionalist, he is an eclectic traditionalist.

If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.

If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

If I could make myself feel the same way

If you don't leave this country within 3 days, your life will be taken the same as Powell's was.

If the Union conceded this to them, the same right must be conceded to each remaining state whenever it saw fit to secede: This would destroy the federal balance between it and the states, and in the end sacrifice to the sovereignty of the states all the liberty the citizens had gained by their Union.

If some future Khrushchev decided to rake up the misdeeds of his revered predecessor, would not the factory workers pass the same resolutions applauding his dispossession??

If he had had a son, he would tell him, `` Gather ye rosebuds while ye may This same flower that smiles today tomorrow will be dying ''.

If they are used, the walls and roof should be 10 inches thick to give the same protection as the 8-inch solid concrete blocks.

If the lever is pulled to clear a signal or move a switch, the tappet moves a short distance lengthwise at the same time.

If all the operating variables were varied simultaneously, Af operations would be required to do the same job, and as R increases this increases very much more rapidly than the number of operations required by the dynamic program.

If they were, Walter Lippmann would be writing the same columns as George Sokolsky, and Herb Lock would have nothing to draw cartoons about.

If an evil which is certain and extensive and immediate may rarely be compensated for by a problematic, speculative, future good, by the same token not every present, certain, and immediate good ( or lesser evil ) that may have to be done will be outweighed by a problematic, speculative, and future evil.

** Trichotomy: If two sets are given, then either they have the same cardinality, or one has a smaller cardinality than the other.

If the replica had all the same experiences, traits, and physical appearances of the first person, we would all attribute the same identity to the second, according to Hick.

If, for example, a string sounds the note C when plucked, a string twice as long will sound the same note an octave lower.

If the death of Epaminondas in 362 BC freed Athens from fear of Thebes, it appears at the same time to have exposed it to further aggression from Alexander of Pherae, who made a piratical raid on Tinos and other cities of the Cyclades, plundering them, and making slaves of the inhabitants.

Jarry once wrote, expressing some of the bizarre logic of ' pataphysics, " If you let a coin fall and it falls, the next time it is just by an infinite coincidence that it will fall again the same way ; hundreds of other coins on other hands will follow this pattern in an infinitely unimaginable fashion ".

If a tile is placed between two hotel chains of the same size, the individual player who places the tile decides which hotel chain remains on the board and which is acquired.

If both alleles are the same, they are homozygotes.

If this particular quasar and our galaxy could be seen side by side at the same distance, the quasar would be 5 magnitudes ( or 100 times ) brighter than our galaxy.

The case of " beauty " is different from mere " agreeableness " because, " If he proclaims something to be beautiful, then he requires the same liking from others ; he then judges not just for himself but for everyone, and speaks of beauty as if it were a property of things.

If we define the function f ( n ) = A ( n, n ), which increases both m and n at the same time, we have a function of one variable that dwarfs every primitive recursive function, including very fast-growing functions such as the exponential function, the factorial function, multi-and superfactorial functions, and even functions defined using Knuth's up-arrow notation ( except when the indexed up-arrow is used ).

If two justices are appointed on the same day, the older is designated the senior Justice of the two.

If the software works as intended and without issues during normal use, one can reasonably extrapolate the same level of stability in production.

Existence is the principle that gives reality to an essence not the same in any way as the existence: " If things having essences are real, and it is not of their essence to be, then the reality of these things must be found in some principle other than ( really distinct from ) their essence.

If the player and dealer have the same point total, this is called a " push " and the player typically doesn't win or lose money on that hand.