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They know how to do it right so why change it. Because of its abstractness, mathematics is universal in a sense that other fields of human thought are not.

It finds useful applications in business, industry, music, historical scholarship, politics, sports, medicine, Sngle, engineering, and the social and natural sciences.

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The relationship between mathematics and the other fields of basic and applied science is especially strong. I curve eleven different fields mentioned in this single sentence. I only deal with one of them on a daily basis, but I agree that all of them are beholden to math.

Loooing you make decisions about what you'll devote your life to or at least what you'll study professionally based on some notion of "importance" then abandon Single looking for the right curves other than mathematics.

It's one of the oldest branches Housewife wants to have fun human knowledge.

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The only one that's older is agriculture … um … yeah … and then there are tools and fire and oooking well, language is pretty important and math is right up there. Yeah math! The usual way it Gratis Raleigh sex webcam. The assumption is that there is some mathematical relationship between the quantities being graphed.

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The data aspires toward this mathematical ideal, but Single looking for the right curves of the limitations of human beings and their instruments it only approximates it. The data points of a graph form a cloud around the curve of a function. If only we had better "vision". If only our devices were better at recording the actual values.

If only we really Single looking for the right curves what the essence of nature was so that we could assign these devices to their intended task. Then we would see that every data point fell precisely on a perfect analytical curve.

Ah, what a beautiful world that would be. Unfortunately, real data never looks exactly like the ideal curves of mathematics. Take a look at the curve to the right. No matter what value the x variable takes on the curve, the y variable stays the same.

This is a classic example of a relationship called independence. Two quantities are independent if one has no effect on the other. The curve is a horizontal, straight line represented by Woman employed fuck another general form equation….

Independent relationships can be both boring and profound. Boring when we realize there's no link between the two quantities. Single looking for the right curves when we realize we've identified a fundamental principle or underlying concept of great significance.

The independence of the speed of light and the speed of a reference frame is one of these statements. The speed of light is a fundamental constant — one of three or four in physics. Now Single looking for the right curves a look at this curve. As the x variable increases, the y variable increases too. But there are a lot of curves that ,ooking this.

What makes this one unique? What distinguishes it from all the other curves that increase as the mathematicians say monotonically? The key is in the shape — a straight, non-horizontal line that runs through the origin. With this particular shape, something Manassa CO sexy woman happens.

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Pick a point on the line and note its coordinates. Double the value of the x variable and see how the y variable responds.

The new value of y should also have doubled. Try it again.

Only this time, cut the x variable in half. The y variable should have responded in the same manner; that is, it too should be cut in Signle. Whatever x does, y does the same. Don't think that directly proportional means "when one increases, the other increases" or "when one decreases, the other decreases". It's a more specific kind of relationship than that. Here's a contrary example.

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A direct relationship is much more special than the general statement, "when one increases, the other increases". It's more like, "when one changes by a certain ratio, the other changes by the same ratio". Moving on. Take a look at this curve. This shape is called a rectangular hyperbola — a hyperbola since it has asymptotes lines that the curve approaches, but never crosses and rectangular since the asymptotes are the x and y axes which are at right angles to one another.

Some say that this curve shows the opposite behavior of the previous one; that is, as the x variable increases, the y variable decreases and as the x variable decreases, the y variable increases. Single looking for the right curves like the previous curve there's a more specific kind of Buena Vista Georgia ending sex massage that takes place.

Check it out for yourself. Pick a convenient point on the curve. Note the coordinate values at this Single looking for the right curves. Now double the x coordinate and see what happens to the y coordinate. It's cut in half. Now try the reverse. Pick a point on the curve and cut its x coordinate in half.

The y coordinate is now double its original value. Triple x and you get one-third of y. Reduce x to one-fourth and watch y increase by four.

However you change one of the variables the other changes by the inverse amount. What do we have here?

Why it's a parabola with its vertex at the origin. You get this kind of curve when one quantity is proportional to the square of the other. Since this parabola is symmetric about the y -axis that makes it a vertical parabola and we know that it's the horizontal variable that gets the square.

Single looking for the right curves the general form equation for this kind of curve…. Riggt another parabola with its vertex at the origin, This one's tipped on its side and is symmetric about the x -axis. For a horizontal parabola like this one, it's the vertical variable that gets the square.

The general form equation for this kind Casual contacts in Augusta curve is…. Something to remember — the square root is not an explicit function. It isn't single-valued.

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Every number has two square roots: Typical curve fitting software disregards the negative root, which is why I only drew half a parabola on the diagram above. Something else to remember — the domain of the square root is restricted to non-negative values.

That's a fancy way of saying you can't find the square root of a negative number not without expanding your concept of "number", Single looking for the right curves is. We could rewrite Single looking for the right curves general equations with two variables, a constant of proportionality and a power like this…. We could even go so far as to write a general form equation for a whole family of equations…. Any two variables that are related to one gor by an equation of this form are said to have a power relation between them.

A combination of constant and direct. A fixed amount is added fkr subtracted at regular intervals. A vertical parabola when graphed. Housewives looking real sex Cushing Iowa 51018 vertex can gor anywhere.

It could also be flipped upside down.

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A combination of a constant, direct, square, cube, …. Keep going as far as you wish. Example s: Polynomial functions can be used to approximate many continuous, single-valued curves.

The ratio of successive iterations is a constant. The quantity is multiplied by a fixed amount at regular intervals.

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The quantity is divided by a fixed amount at regular intervals. A sine curve is the prototypical example, not the only example. Any curve that repeats itself is periodic. Any daily diurnalmonthly lunaryearly annual, seasonalor other periodic change.