![]() ![]() Here, even after some Aero Glass transparency has been added in, everything is smooth. Even when I turn Transparency off in OS X, Mission Control isn’t completely smooth. It’s unequivocally better than performance on OS X, further leading me to believe that Apple really needs to overhaul how animations are done. It renders at 60FPS unless you have a lot going on. The comment was made by Computer Science major Alex King, who tried upgrading his Boot Camp installation of Windows 8.1 to the preview of Windows 10. One of the first people to try Windows 10 on the new Retina MacBook says that it actually runs more smoothly than OS X. Watch our full walkthrough, as we showcase this simple and compact eGPU solution on video. The setup also lets you tap into the power of the GPU right from your MacBook Pro’s built-in display, no external display required. The now-available $249 Akitio Thunder3 is much smaller than the larger Akitio Node, so it takes up a smaller footprint on your desk. Instead, you can utilize a Boot Camp installation, and turn your MacBook Pro into a 1080p gaming machine. That’s not to say that you should run out and buy a Windows laptop if you want to play the latest games requiring a more powerful GPU. It should come as no surprise that the setup process and support with Windows is, in some ways, quite a bit better than using an eGPU with macOS. While that solution yielded definite benefits, it was also hindered by difficulties caused by macOS itself. In our previous tutorial, we showed you how to wield an AMD RX 480 in macOS. As we’ve shown in a previous post, an eGPU can make a significant performance difference, turning an otherwise graphically pedestrian MacBook Pro into a competent gaming machine. While they’ve existed before the most recent MacBook Pro, the surge of interest in external GPUs is largely thanks to the implementation of Thunderbolt 3 in the latest Mac hardware. How to back up and restore a Boot Camp Windows partition on macOS using Winclone Watch our hands-on video walkthrough for the details. Unlike the Boot Camp creation + Windows 10 installation process, removing a Boot Camp partition couldn’t be easier. In this follow-up tutorial, we show you how to remove the Boot Camp partition from your Mac, which allows your primary macOS partition to reclaim its space. ![]() Since some Macs are fairly limited when it comes to internal storage space, having a large Boot Camp partition can make it tricky to manage storage space in macOS. Outside of the time it takes, another downside associated with creating a Boot Camp partition is that it can take up a significant amount of space on your primary drive. The process, while not difficult, can be slightly time consuming, especially if you have a slow Internet connection for downloading Windows 10. In a previous tutorial we showed you how to create a macOS Boot Camp partition for installing Windows 10 on a MacBook Pro. ![]()
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![]() While the ads themselves weren't always that way, even in its earlier years Evony was known for persistent automated advertising, to the point where Google had to step in and forcibly and repeatedly block numerous attempts - this likely drove up the number of downloads for extensions such as Adblock and Noscript. However, odds are that if you're reading this, you know Evony as the progenitor of those annoying banner ads with the random, mostly-naked women that were seen on various sites such as YouTube and LiveJournal (and, for that matter, TV Tropes) - such ads have all but codified the trope of Lady Not-Appearing-In-This-Game in the eyes of most Internet users. Alliances are composed of the Host, who is formally in charge of the alliance and has the power to dissolve it if necessary the Vice Host, who is second in command and has the power to boot members the Presbyters, who function as diplomats and can form alliances with other alliances Officers, who serve as recruitment for the alliance and have only powers of recruitment and finally, Members, who have no special powers. You are advised to join an Alliance, who can support you in war, cannot attack you and can communicate with you via chat. ![]() I am part of the alliance UGTFury2 on Server 87, a very friendly and active guild who has been a great help and has made my game time very enjoyable.Evony, formerly known as Civony, is a Browser Game MMORPG where you start off in charge of a tiny village and presumably build it up into a mighty kingdom, vaguely resembling a light clone of the Civilization games. Most of the players I have encountered have been very helpful, however do remember this is a war game so some people will not be as willing to provide assistance! Watch your back and bolt everything down, because its war! Joining the game is free to drop on over and give it a try! I have found it very helpful with getting started, but for some of my questions there was no better way to learn then by asking my alliance members. It is not an official website, but rather formed by the fans of the game. There is a lot to take in with this game, which is why I am thankful that there is an Evony Wiki website to look up information and solve some of my questions. Other players can even capture and take over your cities if you are not careful! They can't take all of your cities however, one will always be safe. There is a lot of strategy involved in this game, and the wrong move can cost you a lot. For instance, to train a mob of archers can take hours or even days, depending on how many troops you are training, your level of technology and strengths of your mayor. Everything happens over periods of time, and you must check on your city often to upgrade buildings, research technologies and train troops. It sounds like a long time, but this game is not your typical grind to the top kind of game. You can choose to break this early, but its wise to build up and learn during this first week. This means for the first 7 days that you play, you cannot be attacked by other players, and cannot attack them. You will need to take some time to get an idea of how to play, luckily each new player gets beginner protection. With over 5 million registered players across almost 100 game servers, you are bound to find a place to fit in! Some alliances choose to ally with others, while others do not believe in peaceful play and wage war right down to the last troop! Whatever way you like to play, there is bound to be an alliance on here for your flavour. Alliances are groups of players who work together and protect each other. It is foolish to fight alone however, so you will want to seek out assistance from an alliance. ![]() As you progress you can control up to 10 separate cities, and can upgrade them to become mighty fortresses! It is a war game, where you build up a city and train troops to defend yourself from everyone else. The game may not have flashy graphics like Diablo or Grand Theft Auto, but its simplistic game play, introductory quests and cooperative environment are welcoming, while its fast paced challenges and battles still provide a challenge for even the most seasoned veterans of the game. It is a browser based game, which I especially like since I can sign on and check on my cities from just about anywhere. In the last few weeks I have been playing a web game that a friend recommended to me called Evony. Evony: The Free Forever MMO Real Time Strategy Game ![]() ![]() Gerard ( ジェラール, Jerāru) Voiced by: Yōsuke Akimoto (Japanese) Bruce Carey (English) He is a Blackghost Knight, bound to earth by the pain and anger of losing his wife and kids. He has since evolved into a Slime Gluttonia, a monster almost as strong as Demon Lords. He is the first monster contracted by Kelvin, and is immediately put to use by him to kill another slime. Clotho ( クロト, Kuroto) Voiced by: Randhi (Japanese) Mary Morgan (English) Clotho is a contracted Slime used by Kelvin. She's a glutton, who even sleep talks about food. In her artificial body, she is shown to look like an angel, with wings and a white dress. Her true form was hidden, appearing as an interactive game menu until creating an artificial body for herself which Kevlin can summon. She is so strong that Kevin himself, an S-rank summoner, couldn't summon her when he entered the world. As she is a godess, she has a very high level, over 100. Melfina ( メルフィーナ, Merufīna) Voiced by: Reina Ueda (Japanese) Tia Ballard (English) The Goddess of Reincarnation, she is the one responsible for giving Kelvin his powers in exchange for his memories. She is domineering whenever a pretty woman hits on Kelvin. She had a curse to set anybody she touches on fire, until Kelvin came and broke it. Efil ( エフィル, Efiru) Voiced by: Manaka Iwami (Japanese) Bev Megato (English) Originally a slave, she is a Half-Elf, bought by Kelvin and trained to be a formidable Archer. Kelvin is in romantic relationships with Mel, Efil, Seras and Ange being a natural chick magnet. His current contracted servants are Clotho, Gerard, Melfina, and Sera. He bartered away his memories of his previous life to gain useful abilities though only memory of himself, akin to amnesia. From the Black Knight of the Ancient Castle of Evil Spirits to the demon within the Hidden Cave of the Sage, he revels in the fight against one formidable foe after another.Ĭharacters Kelvin ( ケルヴィン, Keruvin) Voiced by: Koki Uchiyama (Japanese) Van Barr (English) The main protagonist who is a reincarnated Summoner, the only S-rank summoner in the world. Heading out into a whole new world as a Summoner-with his first Follower being the very goddess who brought him over! Kelvin begins his new life as an adventurer, and it isn't long before he discovers his hidden disposition as a battle junkie. Waking up in a strange new place with no memory of his past life, Kelvin learns that he's bartered away those very memories in exchange for powerful new abilities during his recent transmigration. An anime television series adaptation by Satelight aired from July to September 2022. A manga adaptation with illustrations by Gin Ammo began serialization in Overlap's Comic Gardo website in January 2018. ![]() Overlap began publishing the series with illustrations by Kurogin under their Overlap Bunko imprint in June 2016. ![]() It began publication online on the Shōsetsuka ni Narō novel posting website in October 2014. Black Summoner ( Japanese: 黒の召喚士, Hepburn: Kuro no Shōkanshi ) is a Japanese light novel series written by Doufu Mayoi. ![]() ![]() ![]() While you have this file open also to get php running, uncomment the below. ![]() Open the main nf and allow some modules: sudo nano /etc/apache2/nfĪnd make sure these modules are uncommented (the first 2 should already be on a clean install): LoadModule authz_core_module libexec/apache2/mod_authz_core.so LoadModule authz_host_module libexec/apache2/mod_authz_host.so LoadModule userdir_module libexec/apache2/mod_userdir.so LoadModule include_module libexec/apache2/mod_include.so LoadModule rewrite_module libexec/apache2/mod_rewrite.so Permissions on the file should be: -rw-r-r- 1 root wheel 298 Jun 28 16:47 nf Options Indexes MultiViews FollowSymLinks Then add the content below swapping in your ' username' in the code below, there is a slightly different user directive for Big Sur and Catalina, make sure 'Require host localhost' is used: Launch Terminal, (Applications/Utilities), and follow the commands below, first one gets you to the right spot, 2nd one opens the text editor on the command line (swap ' username' with your account's shortname, if you don't know your account shortname type ' whoami' the Terminal prompt): cd /etc/apache2/users sudo nano nf If you would rather edit config files in a text editor as an app I would suggest text editor like the free BBEdit which allows you to open hidden system files. conf, its location and permissions/ownership is best tackled by using the Terminal, the text editor ' nano' would be the best tool to deal with this. If you don’t already have one (very likely), then create one named by the short username of the account with the suffix. You have to make a few additional tweaks to get the ~/Sites folder back up and running.Īdd a “nf” filed under: /etc/apache2/users/ Make that folder before you set up the user configuration file described next. Once you make the Sites folder you will notice that it has a unique icon which is a throwback from a few versions older. You need to make a " Sites" folder at the root level of your account and then it will work. This takes a bit longer to set up but some users are very accustomed to using it. The other web root directory which is missing by default is the ' ~/Sites' folder in the User account. The files are shared in the filing system at - /Library/WebServer/Documents/ User Level Root the default system document root is still found at. ![]() It is easier to use the user level one as you don't have to keep on authenticating as an admin user. It seems there is less effort from Apple in continuing with the user level one but it still can be set up with a couple of extra tweaks in configuration files. Document Rootĭocument root is the location where the files are shared from the file system and is similar to the traditional names of ' public_html' and ' htdocs', macOS has historically had 2 web roots one at a system level and one at a user level - you can set both up or just run with one, the user level one allows multiple accounts to have their own web root whilst the system one is global for all users. This will give you an indication of what might be wrong. If you don't get the localhost test, you can try troubleshooting Apache to see if there is anything wrong in its config file by running apachectl configtest The Apache version that comes in macOS Big Sur is Apache/2.4.46Īfter starting Apache - test to see if the webserver is working in the browser - you should see the "It Works!" text. To start Apache web sharing sudo apachectl start Using the prefix of sudo is required for commands that have their applications protected in specific folders - when using sudo you will need to confirm with your admin password or iCloud password if set up that way. This needs to be done in the Terminal which is found in the OS filing system at /Applications/Utilities/Terminalįor those not familiar with the Terminal, it really isn't as intimidating as you may think, once launched you are faced with a command prompt waiting for your commands - just type/paste in a command and hit enter, some commands give you no response - it just means the command is done, other commands give you feedback. Web serving is built into Big Sur with Apache app, it is installed ready to be fired up. ![]() ![]() ![]() ![]() If anchored correctly, they can also provide protection for architectural glazing in the event of an explosion. These security films are often tinted and can be up to 400 micrometers (µm) thick, compared to less than 50 µm for ordinary tint films. These security films, if applied properly, can also provide protection for vehicles. Another key application for security window films (safety window films) is on large areas of "flat glass" such as storefront windows, sliding glass doors, and larger windows that are prone to hurricane damage. Some companies have even experimented with bullet ballistics and multiple layers of security film. The most robust security films are capable of preventing fragmentation and the production of hazardous glass shards from forces such as bomb blasts. Typically applied to commercial glass, these films are made of heavy-gauge plastic and are intended to maintain the integrity of glass when subject to heavy impact. Security films are applied to glass so when the glass is broken it holds together, preventing dangerous shards from flying about, or making it more difficult for an intruder to gain entry. Spectrally selective films act by blocking certain wavelengths of the sun's infrared radiation and reject heat without reducing natural light. Silvered film may also be employed to the same end. Such films also reduce the amount of visible and ultraviolet radiation entering a window, and are often applied to reduce the fading of the contents of a room. If the windows are designed to provide heat energy in the winter and keep heat inside the house (typical of cold climates), the low-emissivity coating should be applied to the inside pane of glazed windows. To keep the sun's heat out of the house, a low-emissivity coating should be applied to the outside pane of glazed windows. Ceramic window films cost slightly more but provide a substantial increase by reflecting and absorbing infrared radiation (IR or radiant heat). The ceramic and metallic window films usually cost 50-100+ percent more than regular window film but they can reduce energy transmission by as much as 80 percent. Modern window film technology has created ceramic window films that are non-metallic and do not contain dyes that can result in discoloration. Such films are usually dyed or metallized (which can be transparent to visible light) to convert incoming solar radiation to infrared radiation, which is then rejected back through the glass to the exterior. Heat rejection films are normally applied to the interior of flat glass windows to reduce the amount of infrared, visible light, and ultraviolet (UV) radiation entering the windows. The colorful film on these windows gives the building a unique appearance while providing privacy and insulation from the sun. ![]() Window films are an extremely cost-effective method to reduce heating and cooling costs in existing buildings by reducing the amount of heat transfer through glazing. Window films are a retrofit upgrade for existing glass that can be used to address problems inherent to glazing, including: There are many different grades, shades, colors, and thicknesses of available window films built to offer solutions to a variety of challenges. The International Window Film Association, founded in 1991, provides unbranded information about window films. Window film is normally installed by professional service companies, but there are also widely available DIY kits widely available. Window films are generically categorized by their construction components (dyed, pigmented, metallized, ceramic, or nano), by their intended use (automotive, marine or architectural), by substrate type (glass or polycarbonate), and/or by their technical performance (privacy, solar control, safety and security). It is usually made from polyethylene terephthalate (PET), a thermoplastic polymer resin of the polyester family, due to its clarity, tensile strength, dimensional stability, and ability to accept a variety of surface-applied or embedded treatments. Window film (tint) is a thin laminate film that can be installed on the interior or exterior of glass surfaces in automobiles and boats, and as well as on the interior or exterior of glass in homes and buildings. For the musical group, see Tinted Windows (band). ![]() ![]() ![]() You may use it while writing e-mails and other texts directly on the web. It is based on indexing common English texts, which uses for language correctness. Grammarly is suitable for checking everyday communication in English. What is the difference between Writefull and Grammarly? Writefull - recordings of all webinars in Czech and in English available on YouTube, including a demonstration of how to work with Full Edit. Writefull Guide for all modules (ENG) (.pdf) ![]() Insert your abstract below the heading "Abstract" and by repeatedly clicking on the "(Re)generate title" button, different title options will be suggested. The field for inserting an abstract is not very clear. You can remain logged in to these applications.Ĭlick on Start → Settings → Accounts → Access work or school → Remove your account generator – automatically suggests the article title based on the abstract. This removal will not affect any current logins to MS Office applications (Outlook, Word, Excell, etc.). Removing (deleting) your account is done in Windows settings from the 'Access to work or school' item. VIC (The CTU Computing and Information Center) might be blocking installing add-ins from MS Store via CTU account The download of the add-in from MS Store is said to be done without logging in. If installation requires MS Store login, follow the instructions for CTU account removal from OS Windows. Having troubles installing an app or add-in from the Microsoft Store? For safety reasons IT technicians recommend using a password which has not been used within your CTU account yet.For registration with Writefull, enter your CTU domain e-mail address ‘‘ (including CTU faculties and other CTU units domains).After adding the plugin to MS Word, register with Writefull via the plugin (create an account), verify your e-mail address and login.If the installation does not work after logging in with your CTU account, please follow the instructions below. The experience of installing the add-in varies.You can log in with your CTU account or with your private account in the MS Store. The MS Store requires a login to download the add-in.An add-in for older versions of MS Word is available from the Writefull website.If you use MS Word 2016, the plugin might not work well. Installation needs plugin for MS Word (OS Windows and Mac OS).A tutorial on how to work with Full Edit can be found below among other tutorials on YouTube.If you do not see Full Edit version, you will need to reinstall the add-in.You must enabled it in the right bar of the Writefull add-in. Full Edit is not set by default in MS Word.Suggests more appropriate expressions, synonyms, adjusts word order, corrects sentence structure. Provides more advanced and detailed text checking.Language Search – looks up the most commonly use of the particular collocation in other publications.Sentence pallette – suggests common phrases for the individual chapters of a journal article.Check paragraph – checks the relevant paragraph.Check document – checks the whole document.Is suggests phrases, synonyms, corrects formulations and at the same time provides a back check of the already written text. Checks for language correctness during your writing.Currently not possible to use in MS Office 365 online version.“If you want to write, keep cats,” Aldous Huxley famously said. As I read Bohumil Hrabal’s haunting but strange slip of a memoir, All My Cats, I wondered if the Czech writer would have agreed with him. Hrabal’s book was originally published in 1986, as Autičko-which translates as “the Little Car,” the nickname Hrabal gave first to his Renault 5, a small white car with ginger-colored seat covers. He later gave the same name to one of his cats, a kitten with “white socks and a white bib, and the rest of it had a tabby pattern, but in ginger.” The volume has only recently been translated into English, excellently so by Paul Wilson. In it, we encounter a cat lover trapped in a hell of his own making, driven to the brink of madness.ĭo not be fooled by the cuteness of the book’s original title, though. Hrabal, who was born in 1914 in Morovia, began writing poetry in the forties, and by the following decade switched to prose. Little of what he was writing made it into print-instead he read his work aloud at meetings of an underground literary group, attended by the novelist Josef Skvorecky and run by the poet Jiri Kolar. ![]() ![]() With free antivirus for Mac, you are taking proactive steps to boost security from Mac-related threats and not worrying about sensitive information on your Mac falling into the wrong hands. Couple this with privacy protection and the ability to share and manage computer security with multiple devices, and you have an antivirus that offers end-to-end protection. I was traumatized from System Mechanic/iolo customer service and. It also blacklists malicious websites, making sure you do not inadvertently connect to them. Download Avast Security & Privacy and enjoy it on your iPhone, iPad, and iPod touch. Each device needs at least one corresponding device driver because a computer typically has at minimum at least one input device and at least one output device, a computer typically needs more than one device driver. It then reverts data to a pre-tampered state. Device drivers operate or control a particular type of device that is attached to a computer. Sophos Home Mac antivirus protects your Macs from ransomware by shutting down processes that encrypt personal information. ![]() Introduced new Avast logo Added localizations to several new languages Dropped support for macOS 10.10. It also allows you to access websites that might be blocked in your country. By routing your connection through encrypted tunnels, Proton VPN's advanced security features ensure that an attacker cannot eavesdrop on your connection. Follow the relevant step below according to the message. The focus of Sophos Home for Mac is to improve your Mac’s cybersecurity posture with enterprise-grade security that offers comprehensive protection against the widest range of threats, both known and unknown. Version 15.0 of Avast Security for Mac was released on Thursday. When you use Proton VPN to browse the web, your Internet connection is encrypted. 1.Virus definitions: Checks if your virus definitions are up-to-date and updates them if necessary. ![]() Go beyond the essentials with advanced security. ![]() Antivirus protection helps protect your Mac from threats posed by increasing attack surfaces and vectors. Stop snoops from seeing your IP Address and online activities with Avast SecureLine VPN. To resolve the issue, follow the steps below: Download Avast Secure Browser again Its possible that some files are missing on your computer. Your Mac security should keep in step with rapidly evolving attack vectors such as phishing, identity theft, ransomware, trojans, rootkits and more. If you see a Not on same network warning and are not connecting through the internet remotely: Make sure your computer is connected to the same router and is. The tighter control exercised over the Apple ecosystem makes Macs more secure, but cyberthreats are growing more sophisticated by the day. You can try to put the files at the excluded option to fix the Avast unable to scan Mac issue. Why does your Mac need antivirus protection? ![]() ![]() ![]() Selecting where you attack is just as important as the method you utilize to dispatch your foes. Fatal obstacles like spike pits, perilous drops from bridges, and fire all add another element of risk to a chosen battlefield. The maps are filled with open fields for huge pitched battles and catapult bombardments sturdy castles for ponderous sieges and classic duels on battlements reminiscent of a plethora of scraps from literature and cinema narrow valleys perfect for ambushes and even burning villages complete with screaming villagers. The goal is dependent on your faction, Mason or Agatha, though with four sprawling maps made up out of the smaller maps used in the other modes, both factions get to test their mettle by being defenders or attackers. Objectives are simple things like killing villagers, besieging or defending castles, or assassinating people. The latter is where I got most of my kicks. There are five game modes in total: Free-For-All, Team Deathmatch, King of the Hill, Last Team Standing, and Team Objective. The objective-based maps have this in spades, especially, but not exclusively. While there’s no real plot, and no single-player campaign, the chaotic flow of each battle creates a narrative filled with tense duels, dramatic sieges, the destruction of villages, and the murder of innocents. A hidden archer had finally ended his reign of terror. Just before I reached him, he jerked forward, and then collapsed. I didn’t relish challenging him, but I had no choice, so I charged and let out a roar. He took out three men that way, killing a fourth with his mace. In one battle, I witnessed a lone maniac guarding a bridge from a whole squad of foes, knocking them down onto the rocks and icy cold water below. It’s all the better for it.Ī battle in Chivalry is made up of countless memorable clashes and moments of the sort one could imagine being recited by grizzled veterans around a camp fire. There’s a serious lack of actual chivalry in Chivarly: Medieval Warfare, and a lot more decapitations, murder, and screaming. I was dead, but I’d managed to murder the last of the Royal Family and win the round. A second later, my head tumbled from my shoulders and landed on top of my victim - I had forgotten about the guard. I switched to my axe and cut him down, slicing into his shoulder and cutting off his entire arm. Past the broken door was a cowering man, whimpering in a poorly lit corner of a dirty room. I raised my own weapon, he blocked, I feinted, and then I ran past him like a desperate mad man. The guard yelled at me and brought down his sword, which I deflected with my shield. Knights challenged me, but I ignored them all as I ran to my objective a broken door and a lone enemy. A fellow soldier standing next to me wasn’t so lucky, and I saw him grasping his throat and gurgling, inhumanly, before crumpling to the ground. Succeed or fail, this would be our final push.Īrrows shot past me, yet somehow, none found me. ![]() This was my faction’s last ditch attempt to secure victory. Men roared as they charged at their foes, called out for help when they became surrounded, and shrieked as they burned alive. ![]() I was surrounded by the dreadful din of battle. ![]() ![]() ![]() However, small changes in the expansion coefficients already quickly change the shapes. In the space of all possible curves, most curves will look uninteresting, but some expansion coefficient values will give shapes that are recognizable. If we truncate the Fourier expansion of a curve at, say, n terms, we have 4 n free parameters. ( Download this post as a CDF to interact) The 2D sliders change the corresponding coefficient in front of the cosine function and the coefficient in front of the sine function. The next demonstration lets us explore the space of possible shapes. Using a sum of three sine functions and three cosine functions for each component,Ĭovers a large variety of shapes already, including circles and ellipses. Now given a parametrized curve γ( t) =, we can use such superpositions of sine and cosine functions independently for the horizontal component γ x( t) and for the vertical component γ y( t). And for smooth curves, the coefficients of the sin( k x) and cos( k x) terms approach zero for large k. It turns out that any smooth curve y( x) can be approximated arbitrarily well over any interval by a Fourier series. Generalizing the above (-1) ( k – 1)/2) k -2 prefactor in front of the sine function to the following even or odd functions,Īllows us to model a wider variety of shapes: A mixture of sine and cosine terms allows us to approximate more general curve shapes. If we use the cosine function instead, we obtain even functions. The sine function is an odd function, and as a result all of the sums of terms sin( k x) are also odd functions. Plotting this sequence of functions suggests that as n increases, y n( x) approaches a triangular function. Here are the first few members of this sequence of functions: Which is a sum of sine functions of various frequencies and amplitudes. The mathematical concept of Fourier series allows us to write down a finite mathematical formula for each of these line segments that is as close as wanted to a drawn curve.Īs a simple example, consider the series of functions y n( x), Then the drawing is made from a set of curve segments. As a “how to calculate…”, the post will not surprisingly contain a fair bit of Mathematica code, but I’ll start with some simple introductory explanations.Īssume you make a line drawing with a pencil on a piece of paper, and assume you draw only lines no shading and no filling is done. In this post, I want to show how to generate such equations. The formula for the curve that depicts Stephen Wolfram’s face, about one page in length, is about the size of a complicated physics formula, such as the gravitational potential of a cube. The real question is how you can make a formula that resembles a person’s face that fits on a single page and is simple in structure. But such an explicit function would be very large, hundreds of pages in size, and not useful for any practical application. From such an array, you could build an interpolating function, even a polynomial. While these are curves in a mathematical sense, similar to say a lemniscate or a folium of Descartes, they are interesting less for their mathematical properties than for their visual meaning to humans.Īfter Richard’s blog post was published, a coworker of mine asked me, “How can you make an equation for Stephen Wolfram’s face?” After a moment of reflection about this question, I realized that the really surprising issue is not that there is a formula: a digital image (assume a grayscale image, for simplicity) is a rectangular array of gray values. ![]() These included fictional character curves:Īnd, most popular among our users, person curves: Recently we added formulas for a variety of shapes and forms, and the Wolfram|Alpha Blog showed some examples of shapes that were represented through mathematical equations and inequalities. For instance, Mathematica can calculate millions of (more precisely, for all practical purposes, infinitely many) integrals, and Wolfram|Alpha knows hundreds of thousands of mathematical formulas (from Euler’s formula and BBP-type formulas for pi to complicated definite integrals containing sin(x)) and plenty of physics formulas (e.g from Poiseuille’s law to the classical mechanics solutions of a point particle in a rectangle to the inverse-distance potential in 4D in hyperspherical coordinates), as well as lesser-known formulas, such as formulas for the shaking frequency of a wet dog, the maximal height of a sandcastle, or the cooking time of a turkey. Our favorite topics are algorithms, followed by formulas and equations. Here at Wolfram Research and at Wolfram|Alpha we love mathematics and computations. ![]() ![]() ![]() Step TwoĪdjust the printer to a setting that uses the least amount of ink possible that transfers to the vellum paper. You might want to make sure that the vellum has a suitable weight that is required to hold the ink from the printer. The volume paper will load into your printer the same as normal printing paper. The translucence will increase with the increasing weight of the paper.įollowing are some steps that you can take while printing with vellum paper. You can start with an inkjet or laser printer and use vellum paper made specifically for printing. Translucent envelopes for giving a peek at its contents.ĭue to the peculiar surface and features of vellum paper, many people wonder how to print anything on it.Printing invitations, business cards, etc.3D cut out objects such as butterflies or flowers.A few things that look great with vellum paper are: You can use vellum paper for a variety of crafts, scrapbooking, and printing. Vellum paper available with ThunderBolt papers is a strong transparent and translucent paper that is available in a variety of colors. The transparent kind of vellum paper does not have any air trapped. This difference in the appearance of vellum paper occurs in the manufacturing process when air is trapped between cellulose fibers the paper assumes a cloudy opaque appearance. Typically, vellum paper is found in two noticeably distinct types one of which is translucent and the other one is opaque. You may also have come across vellum paper in the form of translucent paper, see-through paper, or tracing paper. ![]() ![]() To elucidate, from this point onwards we will be talking about vellum paper which is a modern cellulose-based paper. But for various reasons paper made out of animal skin was discontinued, and more paper products were developed to meet the needs for different kinds of long-lasting paper. There is a possibility that you have heard of vellum paper before, and you know that it's made of animal skin. ![]() |
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