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The third function uses Ackermann's Formula to find the feedback constants. It takes as input the system matrix a , the input matrix b , and the desired characteristic equation coefficients. The other programs convert the system from a statespace model to a transfer function, convert the system from a transfer function to statespace form, create the Routh table from the characteristic equation, find the Static Error Constants Kp - position, Kv - velocity, Ka - acceleration and also their respective steady state errors essp - step, essv - ramp, essa - parabola , solve for all possible input combinations to solve for a second order system, graph the step response of the transfer function, and find the step response characteristics of the step response graph.

Author unknown. Control Systems 3. The app takes as input the transfer function of a process as well as the settings of a PID controller. Drop the ink colors that you wish to blend onto the paper. Then, tilt the paper to spread the ink, and use your tool to guide the ink to the paper's edges. Keep in mind that using a blending solution or rubbing alcohol will dilute and spread the ink and therefore cause the colors to dry a little lighter than the full strength would have been.

Use Rubbing Alcohol to Dilute Ink Rubbing alcohol is one of your more versatile tools for when it comes to painting with alcohol ink. You can use it to dilute the ink so that it takes on a lighter transparency, for a layer blending or glazing effect. More than that, though, rubbing alcohol is useful as a medium for your painting, similar to role that water plays in watercolor. This becomes very important for blending two shapes together, particularly if one if still wet and the other dry.

When you apply a wet ink next to a dry one, you will see a very hard line between the two shapes. To blend these two inks together and dissolve the line, use a brush dipped in rubbing alcohol. This will reactivate the ink. Using the brush, you can rub out the line, and you'll find that the two colors have blended together into a new color. Some of them, however, do also have dyes that then blend together, such as chameleon pens.

While a pen loaded with clear isopropyl alcohol will help you to have more control when blending the colors present on your paper, using a self-blending alcohol ink pen will allow you to make gradients as an extra layer on your design. You can also make your own controlled blending pen using a water brush or refillable felt tip.

Fill the reservoir with isoprpyl alcohol or blending solution, then squeeze out small amounts of solution as you blend. Blending pens are also useful for lifting ink or blending out the edges of your alcohol ink, so that there isn't a crisp line where the design ends. This can be a beautiful technique for paintings that do not completely fill the surface.

One way to blend out the edges is to wait until the painting has dried, then use a blending pen with clear rubbing alcohol and fade out the hard line at the edges of the image. Fine Tune with an Alcohol Ink Colored Marker Once your layers are dried, you can use alcohol ink markers to draw over your painting. Use them to add another layer, clarify the image, or darken some outlines. That's not all though, alcohol ink markers can also help you to implement some controlled blending and texture while a layer of alcohol ink is still drying.

Use them to add a new color as you pull out the edge of a pool of diluted ink or rubbing alcohol. Use a Brush to Lead and Blend Ink Without a painter's intervention, alcohol ink will most often cling to itself, concentrating its dye in a single spot. To control how the ink pools and at what strength, spread the dye around the area using a brush. The brush will help you to concentrate the dyes where you want them. With practice, you can even keep certain colors from spreading and mixing into each other.

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Nowadays, many games use pixel art to create a retro style, but pixel artistry is also practiced by players of games like Minecraft and Terraria. You can use the blocks that comprise their worlds to create stunning artworks within a game you love. How to make pixel art in Minecraft The easiest way to learn is to find some pixel art online and then copy it. What's most important is that you practice and take your time.

Rushing will lead to mistakes. Work hard enough, and you could even be featured on a list of the best Minecraft pixel art creations. Speaking of which… The best Minecraft pixel art creations Well, isn't this convenient? Here are a few examples of Minecraft-based pixel artistry. Not all of them are massively complicated, but they nonetheless demonstrate the wide range of artwork you can create using Minecraft. Bonus for Bowser glaring menacingly in the background.

You can also get a sense of the scale of the project by the relative size of individual blocks. This must have taken the artist a while. The artist has signed their name at the bottom of the piece, and rightly so. Like blocks, they can be difficult to create, but generally, mobs have slightly more varying colors than blocks.

Zombie[] A partially completed pixel art zombie made with concrete and terracotta, with a head and 1 arm missing. The "feet" of the zombie should be made of gray wool or concrete. The torso of the zombie should be made of light blue wool or concrete, with cyan to highlight certain spots, and the arms should be made of green and lime wool or concrete. Creeper[] Creepers are ugly in their colors, so use plenty of different colors when making a creeper with pixel art.

If you want even more variations for colors similar to these, use the same colors but in terracotta for some parts of the creeper, so that you can have a slight contrast. Also, you may want to use blocks that are not wool, concrete, or terracotta, such as stone or slime blocks. The most important thing when making a creeper is to line the blocks up perfectly with the pixels on the creeper's face, as this is the most noticeable part.

Here is a simple example for starters: Witch[] Witches are slightly easier to make than the mobs mentioned previously, as witches do not have quite as many colors in them. Their face should be made with white terracotta, with light gray terracotta for highlights. See the following grid for an example of how to make a witch's face: Iron golem[] The basic layout of the iron golem is white with "rusted" parts that are more brown. For the slightly "rusted" parts, use white terracotta, light gray terracotta, and gray terracotta.

White and gray terracotta are actually slightly browned, making them perfect for this circumstance. Iron golems have vine-like streaks of green running down their left side. Designs in real life[] Designs in real life refer to taking objects that can be found in the world, and building them in Minecraft using blocks.

You can also build objects that don't exist in real life but do in movies. Overview[] When building something from real life, first you must decide what you're going to build. It's recommended to build something easy, such as a box, before trying to build much more difficult things, such as a car.

If you're in survival mode , make sure you have all of the necessary materials before starting to build. When in survival, it's strongly recommended to use primarily renewable materials for larger pixel art. Once you know what you're going to build and you have the materials, you need to make sure that what you are going to build in Minecraft is proportionate to what real life object you're basing it on.

The easiest way to do this is by setting a legend for what a block equals. For example, you may decide to have 1 block equal 1 cubic centimeter scale. For bigger objects such as buildings 1 block may equal 1 cubic meter actual size , or perhaps for giant objects such as the earth a cubic kilometer. It all depends on the size of the object, and how detailed you want it to be. Something that is fun to do once you have completed your pixel art project, is to make a hole to go inside of it.

If you want, you can even turn the inside into a parkour course, a maze, a house, or a mine. If you're advanced with redstone , you may want to add some to the inside of the pixel art. There are many possibilities - it's up to you to decide which one to use.

Shapes[] When building advanced pixel art from real life that contains anything other than squares and rectangles, you must know how to build shapes that may be difficult to make in Minecraft. These include circles, triangles, spheres, and more. If new to building shapes, start off by breaking 3-dimensional shapes down into 2-dimensional, and combining the 2-dimensional back together. Examples[] This section is a work in progress. Please help in the expansion or creation of this article by expanding or improving it.