Adobe Flash: The future of web design?

Flash is a tool that enables software developers to create and animate interactive elements for web pages. Currently, Flash is the only way to create animations on a web page.

Some web sites are relying on Flash instead of other web technologies, such as HTML, to create and animate their pages. As a result, Flash is becoming a more important part of the web design world, and designers need to be familiar with Flash design capabilities. Figure 4-12 shows an example of a web page created using Flash.

**Figure 4-12:** A common interactive element available in Flash-based designs is the Flash image map.

Photo by Wil Mee (`www.wilnee.com`)

## Getting to Know Your Tools of the Trade

You can create any number of web pages using a variety of tools and technologies, but many of the more popular programs are below.

Adobe Photoshop (2017 review) “The Dark Side of Lightroom”

Adobe Photoshop is available on Windows and macOS. It can be purchased as part of the Creative Cloud subscription package. It is often seen as the most powerful and professional version of Photoshop, and is usually part of the Adobe Creative Suite.

Photoshop Elements (Elements and Lightroom are the same product since 2013) was acquired by Adobe in 2011, and is one of the alternatives to Photoshop that Adobe offers.

This page is a list of Photoshop and Photoshop Elements in the categories detailed below:

Table of contents

Verdict

Price

What to look for

Features

Schedule of updates

Windows

Mac

Verdict

Price

This is a daily updated overview of the latest prices of Photoshop and Photoshop Elements. Keep track of the newest prices on the table of contents.

What to look for

You want to edit images, create new high-quality images or both.

Price

This is a daily updated overview of the latest prices of Photoshop and Photoshop Elements. Keep track of the newest prices on the table of contents.

Adobe Photoshop

Commercial (Photoshop)

100%

$900 (Lightroom version)

Max. number of professional licenses included in Adobe Creative Cloud subscription, or available as a standalone purchase (also for iPad).

Windows-only; Mac is sold as part of Creative Cloud subscription.

$2,700 (photoshop.adobe.com)

Limited version

Price drop: standard price ~$1,000

One or more free upgrades with the purchase of additional licenses, no annual subscription required.

Not recommended for editing Live Photos or RAW images,

Non-photographic, non-vector art images

Photo content

Images displayed on websites

White balance

Poster designer, photomanipulation, fine arts, icons, etc.

4.3

64, 32 or 16 bit RGB, or 8-bit grayscale

ASCII

Portable layer styles

Additional tools

Quick swatches

Mask that will remain when the image is copied or saved

Black and white image settings

Edit brush, gradient, and path with Wacom tablet support

Retouch mode in the free Adobe Photoshop

The Photoshop Elements version is
05a79cecff

European Atherosclerosis Society, Paris, France {#Sec292}

Q:

Prove with mathematical induction that $3 \cdot 4 \cdot 5 \cdot \ldots \cdot 2k = 2k(2k+1)$

I have tried induction by multiplying two consecutive numbers ($k$ and $k+1$) and it works fine. But how can I prove that this also works for all $k\in\mathbb{N}$?

A:

Let $F(k)$ stand for the left hand side of the equation.
If we are proving the equation for $k=1$ we have $F(1)=8$
We know that $F(k)$ is true for $k=1$ by induction. We want to show that $F(k+1)$ is also true.
The base case is $k=1$, so this is $F(2)=4\cdot 5=20$
We have:
$$F(k+1)=F(k)F(2)=2(2k+1)(2k+2)$$
This completes the proof.

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In this often

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