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To interact with your computer screen, click and drag your mouse or use your keyboard and arrow keys. You’ll also see icons that appear on the right side of the page when you need to interact with your computer (for example, to cut an image).

Photoshop comes with many tools and plug-ins, which are programs that enhance or modify the capabilities of Photoshop. The most popular plug-ins are the GIMP plug-ins. GIMP (GNU Image Manipulation Program) is an open-source version of Photoshop, and has many of the features, but its power is not as great as that of Photoshop.

It can use your Adobe Photoshop plug-ins for additional capabilities. If you have Photoshop installed on your computer, you can usually import a Photoshop file, and certain Photoshop plug-ins that may be needed to edit that file will be installed.

## Choosing a Resizing Tool

A _resizing_ tool is a program that zeros out a picture with a certain percentage. If you resize your images at an 80 percent or even a 100 percent level, your image sizes are usually going to be big. When editing images on the web, it’s important to keep in mind that uploading a huge image is going to have a negative impact on the page load speed.

This issue is particularly relevant for large news images. However, if you’re resizing an image for print, you may not need to worry about the load time. Bigger images also take up more space on the printed page.

For almost every job, Photoshop Elements’ _Resize_ tool does the trick. It’s an easy tool to use and edit. It’s part of the Organizer, as shown in Figure 7-3.

FIGURE 7-3: Resize an image to a specific percentage.

The Resize tool always keeps the image size at the same place, so it may not look like a real change. To resize your photo, open it in the Organizer and then choose Edit⇒Resize. The Resize dialog box shown in Figure 7-3 appears, where you can specify the percent size you want your image to be. It’s a good idea to keep it very close to 100 percent. For example, if you have a photo of a child in a bathing suit, you may want to keep the image size less than a 100 percent.

You can also work in the Resize dialog box by choosing

It is an excellent tool for creating digital images for social networking, video editing, printing and designing web pages. Many of the features in Elements are shared with the professional version. The features available in Elements are basic and have been simplified to make the application easy to use.

Most users, particularly photographers will find Photoshop Elements useful for editing photos.

The Adobe Photoshop Elements 2016 user manual below will help to guide you through using the program.

READ ALSO: Graphics Design Software – 7 Best Free Graphic Design Software

When you first start Photoshop Elements, you will be asked to select which version you’d like to use. You should select Standard or Special. Standard is basically equivalent to the professional version of Photoshop. Special is for basic use and design.

Create a New Image

Your images will be saved to the computer where you have downloaded Elements. Photoshop Elements saves images to the same folder where you save your work in the other programs. Open the image in the folder. The file icon will be a red “Start” button in the top right corner of the screen.

You can upload your images on your Website. When you are ready to edit, export or print the image, click the “Arrow” symbol at the top right of the window to import the image into Photoshop Elements.

In the “File” menu, select “New” from the “File” category. A dialog box will open. Click “OK.”

You will now see a new image in the “Image” window on the left.

Edit an Image

Photoshop Elements is an image editor that you will use to add special effects, modify color, and create and edit digital photos. You can use the program to modify the following:

–Images

–Slideshows

–Photo Book

–Signage

–Stock Photography

–Photo Folding

–Photographs

–Illustrations

Photoshop Elements is not used to create text.

You can combine the colors of your image to create a new color. To add a new color, you can use the “Color Picker.” Select the “Color” tab of the “Tools” tab. Select “New” from the “Color” category. You will be given a palette of colors.

You can
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El Général de Brigade Laurent Jacquier tient un discours durant la conférence de presse. ERIC PIERMONT / AFP

La tuerie qui a déchiré le pays ces derniers jours est « un acte grave et isolé », a estimé dimanche 2 février le chef d’Etat français, qui demande des « réflexions » sur cette « sombre affaire ».

« Les causes sont multiples : mais c’est un acte grave, isolé, et cela justifie toutes nos réflexions », a déclaré le chef de l’Etat François Hollande, dans un discours très bref mais très remarqué lors du deuxième jour de la conférence de presse de son gouvernement.

Les circonstances de la fusillade de Saint-Etienne-du-Rouvray, le 13 janvier, où l’on a tué, selon la police, un homme au couteau et un père de famille à l’arme blanche, n’ont pas été révélées jusqu’à présent.

Le préfet de Seine-Maritime, Christian Estrosi, a annoncé, lundi 27 janvier, des « travaux de recherche et d’enquête » pour identifier le tireur, négligeant ainsi les attentats contre Charlie Hebdo et la voiture piégée dans l’Aisne.

Les circonstances de la fusillade à Saint-Etienne-du-Rouvray, qui a révélé sa victime, 47 ans, comme un « guerrier téméraire », a marqué la police, le ministère de l’intérieur et les autorités locales, qui ont vivement fustigé le comportement du préfet de la région Grand Est, Christian Estrosi.

A l’époque, le gendarme a

Q:

Prove that $1+\frac12+\frac13+\frac14+\cdots=\frac{\sqrt{5}}{2}$ using recursion

Prove that $\displaystyle\sum_{i=1}^{\infty}\frac1{2^i}=\frac{\sqrt5}2$ using induction.

So using the induction method we could construct $\frac{1+\frac{1}{1!}+\frac{1}{2!}}{2}+\frac{\frac{1}{1!}+\frac{1}{2!}}{3}+\frac{\frac{1}{1!}+\frac{1}{2!}}{4}+\cdots=\frac{\sqrt5}{2}$.
However, I am not able to prove this using direct method. I am not confident to try something which is not well known. So, I am looking for hints.

A:

For the specific question,
$$\frac1{2^1}+\frac1{2^2}+\frac1{2^3}+\frac1{2^4}+\frac1{2^5}+\ldots=\frac12\cdot\frac1{2^1}+\frac12\cdot\frac1{2^2}+\frac12\cdot\frac1{2^3}+\frac12\cdot\frac1{2^4}+\ldots=$$
$$=\frac12\cdot\frac1{1!}+\frac12\cdot\frac1{2!}+\frac12\cdot\frac1{3!}+\frac12\cdot\frac1{4!}+\ldots=\frac{\sqrt5}2$$
For the general case
$$S(n)=\frac1{n}+\frac1{n+1}+\frac1{n+2}+\frac1{n+3}+\frac1{n+4}+\ldots=S(n+1)-S(n)$$
\iff \frac1{n+2}+\frac1{n+3}+\frac1{n+4}+