Posted on September 5, by David Sellers I realized something the other day while doing a curve fit in Excel that I figured was worth sharing. It could be pretty tempting to write a formula that used the trend line equation and assume it was correct. And technically, it is correct.

A special operator to make a image circular with a soft blurry outline. However note that it does not actually use the largest ellipse posible, so you may want to DIY it.

For example, here I give a polaroid look to a photo thumbnail. The image is looking up the spiral staircase downwardinside the Arc de Triumph, Paris.

It is a very long staircase!. The shadow color can be controlled by the " -background " color setting.

As you saw above the plus form of the operator will rotate the result by a random amount. This operator makes a Index of Photos much more interesting and less static than you would otherwise get.

The minus form of the operator lets you control the angle of rotation of the image. That is it will be word wrapped to the width of the photo. On the other hand the IM command " montage " uses " -label " as it uses the non-word wrapping " label: This is a well known Image Distortion problem see Rotating a Thin Lineand one that can be solved by using a super sampling technique.

Basically we generate the polaroid twice as large as what we really want, then we just resize the image to its final normal size. The reduction in the image size effectively sharpens the resulting image, and more importantly the caption text.

However to make this work we not only need a image at least twice the final size, but also we may need to a larger border to the image, and draw the text at twice its normal " -density ".

Do not increase the fonts " -pointsize " as that does not enlarge the text in quite the same way. The same for any other fine detail that may have been present in the original image.

The only disadvantage of this is that the shadow of the resulting image will be smaller, and less fuzzy. For total control of the polaroid transformation, you can do all the steps involved yourself. The result is a merging of neighbourhood colors into larger single color areas. This effect can be smoothed somewhat by blurring the image slightly before hand, as shown in the last image above.

It is an interesting effect and could be used to make some weird and wonderful background images. For example see its use in Background Examples.How to Find the Degree of a Polynomial. Polynomial means "many terms," and it can refer to a variety of expressions that can include constants, variables, and exponents.

§ Algebra I, Adopted (One Credit). (a) General requirements. Students shall be awarded one credit for successful completion of this course. In numerical analysis, Lagrange polynomials are used for polynomial timberdesignmag.com a given set of points (,) with no two values equal, the Lagrange polynomial is the polynomial of lowest degree that assumes at each value the corresponding value (i.e. the functions coincide at each point). The interpolating polynomial of the least degree is unique, however, and since it can be arrived at. The main problem with the above is that you can lose some pixel data from the image. That is the pixels are not 'swapped' but randomally copied, which means a specific pixel in the image may become duplicated or lost.

For example, x - 2 is a polynomial; so is To find the degree of a. How to Find the Degree of a Polynomial.

Polynomial means "many terms," and it can refer to a variety of expressions that can include constants, variables, and exponents. For example, x - 2 is a polynomial; so is To find the degree of a. In algebra, a cubic function is a function of the form = + + +in which a is nonzero..

Setting f(x) = 0 produces a cubic equation of the form + + + = The solutions of this equation are called roots of the polynomial f(x).If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd degree polynomials).

Apr 13, · Edit Article How to Find the Maximum or Minimum Value of a Quadratic Function Easily. Three Methods: Beginning with the General Form of the Function Using the Standard or Vertex Form Using Calculus to Derive the Minimum or Maximum Community Q&A For a variety of reasons, you may need to be able to define the maximum or minimum value of a selected quadratic function.

Polynomial regression You are encouraged to solve this task according to the task description, using any language you may know. § Implementation of Texas Essential Knowledge and Skills for Mathematics, High School, Adopted (a) The provisions of §§ of this subchapter shall be .

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How to Find the Degree of a Polynomial: 14 Steps (with Pictures)