# Free creative, Free PSD Mockup 🆙

* _The Photoshop CS5 Master Collection: A Complete Guide to Creative Techniques_ by Matt Kloskowski (IDG Books)
* _Photoshop For Dummies_ by Erica Riley and Lesa Brown (Wiley)
* _Photoshop Elements 11: The Missing Manual_ by Kathryn Burnham (John Wiley & Sons, Inc.)
* _Adobe Photoshop CS5 Master Class: From Beginner to Professional_ by Raymon Herzog (IDG Books)
* _Photoshop Elements 10: The Missing Manual_ by Kathryn Burnham (John Wiley & Sons, Inc.)
* _Photoshop: The Missing Manual_ by Jim Fowler (IDG Books)
* _Photoshop In Plain English: A Beginner’s Guide_ by Matt Kloskowski (O’Reilly)
* _Photoshop Elements: The Missing Manual_ by Kathryn Burnham (John Wiley & Sons, Inc.)

Tutorial: How to Use Images in Photoshop as Graphics

Photoshop can be used in multiple ways. To give a quick definition of Photoshop, it is a graphic editor that is used for images and graphics. To edit or create a new image, you can use Photoshop or Photoshop Elements. It is possible to use both of them to edit any photos or graphics or any other image. They are free, which means you can use them for free. The only thing you need to pay for is Photoshop Elements Pro.

There are many tutorials online, for example how to design a logo, create a graphic, make a collage, paint with Photoshop, etc. This tutorial is different, as it uses photos that you can download to create the following illustrations.

To get started, download the files of the two photos you want to use on your laptop. Select all photos then press Ctrl + A (Windows) or Command + A (Mac) to select them. Press Ctrl + C to copy and Cmd + C to copy.

After that, go to the Photoshop window and go to the folder where you have stored the images.

Now right-click on any photo and choose:

Edit Contents

Go to Selection > Invert Selection

Go to Edit > Fill

The images should be black now. To change them, select all photos, then go to Edit > Adjust > Curves

Use the 3 points button to adjust the curves of each image. To bring the image to its final state, double-click on the black pixels to delete them.

The final result will be a black image with some white spots on the left and right sides of the image. Delete the white spots that are outside the picture.

The final result should be something like the one below.

Continue with the rest of the steps to get the desired result.

Step 2: Select A Line on Each Photo

To create the next step, draw a line on each photo using the Pen tool.

Go to the Adjustments panel, then choose:

Select Color Range

Go to Fill

Check Draw Mask and then choose any color and width. Draw a line on each photo.

Step 3: Delete the White Spots

Again, select all photos, and then go to:

Select > Inverse

Go to Edit > Fill

Check Darken and then choose a color and width.
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Q:

If $L(\alpha,\beta)$ is a composition of linear subspaces $L_1 \subset L_2 \subset L_3 \subset \ldots$ where $L(\alpha,\beta)$ is closed, and each $L_i$ is closed, how to show $L(\alpha,\beta)$ is closed?

Let $\alpha,\beta \in \mathbb{R}^n$, and let $L(\alpha,\beta) = \{w \in \mathbb{R}^n :\ \text{there exists } k \in \mathbb{N} \text{ such that } w \in \alpha + L_k \text{ and } w \in \beta + L_k\}$ where $L_1 \subset L_2 \subset L_3 \subset \ldots$ are subspaces such that

Each $L_i$ is closed, and
$L(\alpha,\beta) = \bigcap_{k=1}^{\infty} L(\alpha,\beta) \cap L_k.$

If I can show that $L(\alpha,\beta)$ is closed, it will imply that $L(\alpha,\beta) \subset \bigcup_{i=1}^{\infty} L_i$ implies $L(\alpha,\beta) \subset L_i \subset L(\alpha,\beta)$, and $L(\alpha,\beta) \supset \bigcap_{i=1}^{\infty} L_i = L(\alpha,\beta).$
For 1. I want to use this:

If $f$ is continuous, then $f^n$ is sequentially continuous for all $n \in \mathbb{N}$.
If each $L_i$ is closed, then $L_k$ is closed for every $k$.

However, I cannot prove that $L(\alpha,\beta)$ is closed from the above. I’m not sure if sequential continuity holds for a concrete composition of sets.

If sequential continuity is not true, is there another approach?
If sequential continuity is true, how to show it? I think this is related to proving compactness of \$L

The year is 2026. Internet Gaming, e-commerce, VoIP, 4G internet service and AI are all implemented across the world. A key aspect of that world is the National Intelligence Agency (NIA) and its development of the AI-interface.

Some of the features of this interface include the ability to:

“watch” another’s actions or reactions to world events

“walk” through the life of another

“communicate” with them

“listen” to their physical body at any given time and location

The NIA has also developed a series of sensors which can detect the actual physical “presence” of the user.

This development led to the 2008 release of Game Over, an Internet-based game in which players take on the role of a wandering AI which can undergo five distinct changes (displayed below) which relate to different aspects of the game. Each player of the game changes roles during each of the five stages.

Each player is assigned a different role in order to determine the outcome. Each role has very different strengths and weaknesses, and the strength of the “aggresive” role determines the winner (as it is the only role that can kill the other players).

Period 1: Player A

Player A is assigned the role of the “Cunning” AI – they can use “snooping” to spy on the other players’ actions.

Period 2: Player B

Player B is assigned the role of the “Understanding” AI, who will attempt to gather information on other players by either communicating with them or performing “extreme” physical actions.

Period 3: Player C

Player C is assigned the role of the “Observing” AI, who may “self-destruct” to cause damage to themselves and others (more about these in a moment).

Period 4: Player D

Player D is assigned the role of the “Aggressive” AI, which not only have greater strength and combat abilities than the other players, but also the ability to kill other players with a single “physical” action.

Period 5: Player E

Player E is assigned the role of the “Careful” AI, who can be “de-evolved” into a more powerful AI if they succeed.

In each period of the game, the player who has achieved the highest score (after all players are eliminated) goes on to