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Page "adventure" ¶ 342
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If and slope
If the cutting force, Af, is plotted against film thickness, a straight line should result passing through the origin and having slope Af.
If the slope / cliff being undercut is made of unconsolidated sediment it will erode at a much faster rate then a cliff made of bedrock.
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 h is negative, then a + h is on the low part of the step, so the secant line from a to a + h is very steep, and as h tends to zero the slope tends to infinity.
If h is positive, then a + h is on the high part of the step, so the secant line from a to a + h has slope zero.
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 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 y is a linear function of x, then the coefficient of x is the slope of the line created by plotting the function.
If the slope m of a line and a point ( x < sub > 1 </ sub >, y < sub > 1 </ sub >) on the line are both known, then the equation of the line can be found using the point-slope formula:
If we let Δx and Δy be the distances ( along the x and y axes, respectively ) between two points on a curve, then the slope given by the above definition,
If two goods are perfect substitutes then the indifference curves will have a constant slope since the consumer would be willing to switch between at a fixed ratio.
If f ( x ) is a real-valued function and a and b are numbers with, then the mean value theorem says that under mild hypotheses, the slope between the two points ( a, f ( a )) and ( b, f ( b )) is equal to the slope of the tangent line to f at some point c between a and b. In other words,
If a slope was available, troops were deployed along the rear side for protection.
If y is directly proportional to x, then the graph of y as a function of x will be a straight line passing through the origin with the slope of the line equal to the constant of proportionality: it corresponds to linear growth.
If the points lie on or close to a straight line that passes through the origin ( 0, 0 ), then the two variables are probably proportional, with the proportionality constant given by the line's slope.
If a curb ramp contains flared sides, they are usually no greater than 1: 10 slope.
The change in phase 4 slope results from alterations in potassium and calcium currents, as well as the slow-inward sodium current that is thought to be responsible for the pacemaker current ( If ).
: If the slope is of the form u / v with gcd ( u, n )= 1, then v = 0 ( mod n ) means that the result of the-addition will be, the point at infinity on the curve.
If the river breaches its natural levees ( i. e., during a flood ), it will spill out onto a new course with a shorter route to the ocean, thereby obtaining a more stable steeper slope.
If the validation error increases ( positive slope ) while the training error steadily decreases ( negative slope ) then a situation of overfitting may have occurred.
If the dzong is built on the side of a valley wall, a smaller dzong or watchtower is typically built directly uphill from the main dzong with the purpose of keeping the slope clear of attackers who might otherwise shoot downward into the courtyard of the main dzong below ( see image at head of article ).
If the stress-strain curve is plotted in terms of true stress and true strain the curve will always slope upwards and never reverse, as true stress is corrected for the decrease in cross-sectional area.

If and grew
If the branch grew, it was a good omen for the union and family.
If the knot held and grew for approximately a year, their love would stay true.
They played shows on Aruba, Curaçao and Sint Maarten In between they recorded a new single ; Macho, released in January 1984, a resentment of lad culture from the viewpoint of a man who grew up as part of an otherwise all-female offspring (" If I only was a woman, we'd be knitting together ").
Morrison's father had what was at the time one of the largest record collections in Ulster ( acquired during his sojourn in Detroit, Michigan in the early 1950s ), and the young Morrison grew up listening to artists such as Jelly Roll Morton, Ray Charles, Lead Belly, and Solomon Burke ; of whom Morrison later said, " If it weren't for guys like Ray and Solomon, I wouldn't be where I am today.
" Kavner grew to despise playing such roles, saying " If it smacks of Brenda Morgenstern, I won't take the job.
If Ishi were descended from both of the tribes and grew up with members of both, it may help explain his adaptive abilities, as his circumstances, essentially from birth, would have been different from the cultural norm of his people.
If the highest population estimates are correct, Cahokia was larger than any subsequent city in the United States until the 1780s, when Philadelphia's population grew beyond 40, 000.
: If plums grew on a thistle ;
It was originally The Top 100 Things I'd Do If I Ever Became An Evil Overlord, but grew to include over 100 entries.
If the director ’ s dealings with Rainer " who used to involve Fellini in futile discussion " were problematic, biographer Kezich argues that while rewriting the screenplay, the Dolores character grew " hyperbolic " and Fellini decided to jettison " the entire story line.
* If you are lucky, you may catch a glimpse of the people's champ Manny Pacquaio whose wife grew up in Kiamba.
If they gave birth to opposite sex babies, the two babies were supposed to be married if they grew up as friends.
*" If you ask me what is my native country, I answer: I was born in Fiume, grew up in Belgrade, Budapest, Pressburg, Vienna and Munich, and I have a Hungarian passport, but I have no fatherland.
If nihonjinron as a genre cultivating public curiosity about national identity grew out of the ashes of defeat, it is nonetheless true that most of the key ideas, and many of the themes, predate the official use of these ideas for inculcating a national identity in the pre-war period.
If the girls grew suspicious and drew back, he did not prevent them from leaving.
* In the 2006 comic What If Captain America had fought in the Civil War ?, the Earth-717 version of Wilson was an orphan raised by a Shawnee medicine man, and grew up to fight in the American Civil War as part of an Indian volunteer regiment.
If Calgary was annoyed when Edmonton was chosen as the capital, that annoyance grew into outrage in 1906 when the University of Alberta was given to Strathcona ( a suburb that soon was annexed into Edmonton in 1912 ).
Steely Dan use the lyric " If you grew up in Amsterdam, then I'm the Duke of Earl " in the song " Slang of Ages " on their 2003 album " Everything Must Go "

If and steeper
* If the supply curve is steeper than the demand curve, then the fluctuations decrease in magnitude with each cycle, so a plot of the prices and quantities over time would look like an inward spiral, as shown in the first diagram.
If the Hicksian demand function is " steeper " than Walrasian demand, the good is a normal good ; otherwise, the good is inferior.

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