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A limit in calculus is a value which a function, f(x), approaches at particular value of x. They can be used to find asymptotes, or boundaries, of a function or to find where a graph is going in ambiguous areas such as asymptotes, discontinuities, or at infinity. There are many different ways to find a limit, all depending on the particular function. If the function exists and is continuous at the value of x, then the corresponding y value, or f (x), is the limit at that value of x. However, if the function does not exist at that value of x, as happens in some trigonometric and rational functions, a number of calculus "tricks" can be applied: such as L'Hopital's Rule or cancelling out a common factor.
There are three main types of vertices for an absolute value function. There are some vertices which are carried over from the function, and taking its absolute value makes no difference. For example, the vertex of the parabola y = 3*x^2 + 15 is not affected by taking absolute values. Then there are some vertices which are reflected in the x-axis because of the absolute value. For example, the vertex of the absolute value of y = 3*x^2 - 15, that is y = |3*x^2 - 15| will be the reflection of the vertex of the original. Finally there are points where the function is "bounced" off the x-axis. These points can be identified by solving for the roots of the original equation. -------------- The above answer considers the absolute value of a parabola. There is a simpler, more common function, y = lxl. In this form, the vertex is (0,0). A more general form is y = lx-hl +k, where y = lxl has been translated h units to the right and k units up. This function has its vertex at (h,k). Finally, for y = albx-hl + k, where the graph has been stretched vertically by a factor of a and compressed horizontally by a factor of b, the vertex will be at (h/b,ak). Of course, you can always find the vertex by graphing, especially since you might not remember the 2nd or 3rd parts above.
ln stands for the function that associates a value with it natural logarithm or, in other words, its logarithm to the base e. You are probably familiar with common or base 10 logarithms and know that, for instance, log10100 = 2 because 100 = 102. ln works in the same way. loge e2 = 2. The value of e is about 2.71828. Therefore, loge 2.71828 ~=1. This function has characteristics that parallel those of base 10 logarithms. You might wish to see the wikipedia page about the natural logarith.
The base of common logarithms is ten.
GUI - Graphical User Interface API - Application Programming Interface In short, a GUI is the user-facing side of a program, the part that a user (typically, human) interacts with, and controls the program with. Common elements of such interfaces are buttons, text fields, check boxes, etc. An API is generally used by a program (rather than a human) to interact with or control another program. One example is the eBay API, which allows a program to upload items for sale on ebay.com, as opposed to manually uploading the item for sale using eBay's GUI.
exponential decay
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They are about same except, prefer get money before common
Preferred stock pays out earnings at fixed, regular dividends
Preferred stock pays out earnings at fixed, regular dividends
Preferred stock pays out earnings at fixed, regular dividends
It is the "common difference".It is the "common difference".It is the "common difference".It is the "common difference".
What is the difference between Invoice & Bill, in common terms. What is the difference between Invoice & Bill, in common terms.
What is the difference between a common wealth and a state?
The common difference is the difference between two numbers in an arithmetic sequence.
what is the difference between the common and scientific name of an organisms
Common Difference means the difference between two numbers.