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If a graph is drawn to show the function corresponding to the total sound of two strings, it can be seen that maxima and minima are no longer constant as when a pure note is played, but change over time: when the two waves are nearly 180 degrees out of phase the maxima of each cancel the minima of the other, whereas when they are nearly in phase their maxima sum up, raising the perceived volume.
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If and graph
If the force required to remove the coatings is plotted against film thickness, a graph as illustrated schematically in Fig. 5 may characteristically result.
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 the function f is not linear ( i. e. its graph is not a straight line ), however, then the change in y divided by the change in x varies: differentiation is a method to find an exact value for this rate of change at any given value of x.
If f is a continuous function, meaning that its graph is an unbroken curve with no gaps, then Q is a continuous function away from.
If the limit exists, meaning that there is a way of choosing a value for Q ( 0 ) that makes the graph of Q a continuous function, then the function f is differentiable at a, and its derivative at a equals Q ( 0 ).
If this triangulated graph is colorable using four colors or less, so is the original graph since the same coloring is valid if edges are removed.
If there is a graph requiring 5 colors, then there is a minimal such graph, where removing any vertex makes it four-colorable.
If the graph G is connected, then the rank of the free group is equal to 1 − χ ( G ): one minus the Euler characteristic of G.
If the graph does not contain any cycles ( i. e. it's an acyclic graph ), its girth is defined to be infinity.
If the graph is directed, the direction is indicated by drawing an arrow.
If A is nonzero, then the x-intercept, that is, the x-coordinate of the point where the graph crosses the x-axis ( where, y is zero ), is − C / A.
If B is nonzero, then the y-intercept, that is the y-coordinate of the point where the graph crosses the y-axis ( where x is zero ), is − C / B, and the slope of the line is − A / B.
* If asked to imagine the graph of the relationship y = ax < sup > 2 </ sup >, one typically visualizes a range of values of x, but only one value of a.
( If the graph has no weights, 1 indicates an edge, 0 indicates no edge.
If no path exists between two cities, adding an arbitrarily long edge will complete the graph without affecting the optimal tour.
If a variable undergoes regular oscillations, and a graph of the system is drawn with the oscillating variable as the vertical axis and time as the horizontal axis, the amplitude is visually represented by the vertical distance between the extrema of the curve and the equilibrium value.
Any collection of objects and morphisms defines a ( possibly large ) directed graph G. If we let J be the free category generated by G, there is a universal diagram F: J → C whose image contains G. The limit ( or colimit ) of this diagram is the same as the limit ( or colimit ) of the original collection of objects and morphisms.
If it is constrained to bury the cable only along certain paths, then there would be a graph representing which points are connected by those paths.
If there are n vertices in the graph, then each tree has n-1 edges.
If x and y are vectors, then the best linear approximation to the graph of f depends on how f changes in several directions at once.
If this fragment is part of a larger graph, then any Hamiltonian cycle through the graph must go in or out of the top vertex ( and either one of the lower ones ).
If and is
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 and drawn
If a series is drawn then the country already holding the Ashes retains them.
If a player has three of a kind and several other players have drawn new cards, one strategy is to draw only one card.
If friction arises from a weight being drawn up the inclined plane of successive asperities, why isn't it balanced then through descending the opposite slope?
If a match is drawn, there is a replay, usually at the ground of the team who were away for the first game.
If the vocal folds are drawn apart, air flows between them causing no vibration, as in the production of voiceless consonants.
If the " doratismos " ( Greek for spear combat ) was not decisive, then the lines would close and swords would be drawn.
If the player ascends the first eight strings of the bass bridge, they will encounter a flatted seventh ( C natural in this case ), because this note is drawn from the G tetrachord.
If a distinction is drawn, then it is that Yang – Mills theories occur on a flat space-time, whereas Kaluza – Klein treats the more general case of curved spacetime.
The person from Porlock later became a word to describe interrupted genius, and the literary critic Walter Jackson Bate recounted that while John Livingston Lowes taught the poem, he told his students " If there is any man in the history of literature who should be hanged, drawn, and quartered, it is the man on business from Porlock.
If a manga series is popular enough, it may be animated after or even during its run, although sometimes manga are drawn centering on previously existing live-action or animated films ( e. g. Star Wars ).
If the navigator measures the direction in real life, the angle can then be drawn on a nautical chart and the navigator will be on that line on the chart.
If the future was given the definition of Physics, it can be drawn down to this.
If a child is not screened during the routine newborn screening test ( typically performed 2-7 days after birth, using samples drawn by neonatal heel prick ), the disease may present clinically with seizures, albinism ( excessively fair hair and skin ), and a " musty odor " to the baby's sweat and urine ( due to phenylacetate, one of the ketones produced ).
If the polygon can be drawn on an equally spaced grid such that all its vertices are grid points, Pick's theorem gives a simple formula for the polygon's area based on the numbers of interior and boundary grid points.
If a non-probability survey conducted in the United States finds that 59 % percent of its respondents support a piece of legislation that is the only conclusion that can be drawn, no statement about the target population can be made.
* If two cards are drawn with replacement from a deck of cards, the event of drawing a red card on the first trial and that of drawing a red card on the second trial are independent.
* If 26 Sets are drawn from a collection of 81 cards, the remaining 3 cards form a Set too.
If an error is made in writing it may not be erased, but a line must be drawn round it to show that it is canceled, and the whole page must be put in a genizah ( burial place for scripture ) and a new page begun.
If a word has two vowels, one far back in the mouth and the other far forward, more effort is required to pronounce the word than if the vowels were closer, and therefore one possible linguistic development is for these two vowels to be drawn closer together.
If all of the are drawn from the same distribution and the integer weights indicate frequency of occurrence in the sample, then the unbiased estimator of the weighted population variance is given by
If too much current is drawn, conductors may sag too close to the ground, or conductors and equipment may be damaged by overheating.
If an altitude is drawn from the vertex with the right angle to the hypotenuse then the triangle is divided into two smaller triangles which are both similar to the original and therefore similar to each other.
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 A ∧ B is true, then B ∧ A is true ; This derivation can be drawn by composing inference rules in such a fashion that premises of a lower inference match the conclusion of the next higher inference.
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