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![]() ![]() ![]() Relative Humidity: 0% to 90% non-condensingģ Year Limited Manufacturer's Warranty, and 12 Month Warranty on the front panel.Smart Videohub: The world’s first SD, HD and Ultra HD mixed format routers.Operating temperature: 0° to 40° C (32° to 104° F).Physical Installation: 2 rack unit size.Power Fail Protection: Crosspoint connections preserved and restored instantly at power on.Power Supply: 2 x Internal 100 - 240V AC.Displays: Built in 5 inch LCD for video and menu settings.Internal Software Upgrade: Via included updater application.Software Control: Router control included free for Windows™ and Mac™.Includes Blackmagic Videohub SDK and Ethernet Videohub Control Protocol. Supports Blackmagic Smart Control and Blackmagic Master Control hardware panels. Includes Blackmagic Videohub software control panel for Mac and Windows. SDI Metadata Support: Video payload identification ancillary data as per SMPTE 352M.Ĥ0 buttons for local control of Videohub with 6 buttons and scroll wheel for menu control.SDI Auto Switching: Automatically selects between SD-SDI, HD-SDI, 6G-SDI and DVB-ASI on each input so that each input can be running a different television standard.SDI Audio Sampling: Television standard sample rate of 48kHz and 24-bit.2K Video Standards: 2K DCI 23.98p, 2K DCI 24p, 2K DCI 25p, 2K DCI 23.98PsF, 2K DCI 24PsF, 2K DCI 25PsF.RS-422 Router Control: 1 x input for controlling router crosspoint switching.USB for firmware updates and IP address setting only. Router Configuration: Via front panel LCD or RJ45 Ethernet.6 buttons and scroll wheel for control of LCD display or RJ45 Ethernet. ![]() Router Control: 40 buttons for local control of Videohub.Simultaneous routing of 4K, HD, SD video and DVB-ASI. Multi Rate Support: Auto detection of SD, HD or 6G-SDI.Serial Control Connection: DB-9 RS-422.Reference Output: Reference terminating loop output.Reference Input: Tri-Sync or Black Burst.SDI Reclocking: On all SDI outputs, auto switching between standard definition, high definition or 6G-SDI video.SDI Video Outputs: 40 x 10-bit SD-SDI, HD-SDI and 6G-SDI.SDI Video Inputs: 40 x 10-bit SD-SDI, HD-SDI and 6G-SDI.Advanced 40 x 40 multi format SD, HD and Ultra HD SDI router with built in video monitoring and spin knob control for visual routing so that you can quickly route your video by looking at it! Smart Videohub 40x40 fits a massive 80 multi rate 6G-SDI connections in a compact two rack unit size! ![]() ![]() ![]() Typically, a PTR record can point to only one hostname through the IP reverse lookup process. It harms your trustworthiness and credibility and makes your customers wonder why your email is not reaching their inboxes. You never want your email to bounce back or be a part of a spam folder. Email is integral to the business, and PTR records usage is in Google's best practices. The mail servers use them to ensure that emails come from the location they claim to come from. Email services may block or reject all emails from that domain if a domain does not have a PTR record or the PTR record contains the wrong domain or hostname. It helps to check the domain or hostname(s) of an email address(es) and see if the associated IP address(es) is likely to be used by the legitimate email server.Īs anti-spam filters perform these checks, email delivery problems can occur from a misconfigured or missing PTR record. Some email servers like Gmail and Yahoo mail use anti-spam filters to check whether the IP address of a server trying to deliver mail has matching forward and reverse DNS records. These records are a must for outgoing mail servers. PTR records are used in reverse IP address lookups. What are the primary uses for PTR records? The IP address reverse lookup will perform the reverse IP search and provides you with the result.Īlso, check PTR records through multiple DNS servers worldwide with the WhatsMyDNS tool. Just enter the IP address and click on the "Submit" button. Note: Replace the IP_address with your domain's IP address. If you are using Linux or MAC OS, run dig -x IP_address on Linux's console terminal or MacOs's terminal. If you are using Windows, run nslookup IP_address in your command prompt. How to check the PTR record or perform a reverse IP lookup? 1. It is the domain or hostname associated with the IP address. A PTR record stored as the IP address is broken into segments and then reversed, followed by. In IPv4Īn, A record must exist for every PTR record. Therefore the IP address is specified in reverse sequence. Here, one thing is essential to remember that is reverse mapping. The syntax is similar to A record, but the field content differs. : It contains the resource data, the domain, or the hostname.: It contains the abbreviation of the DNS record class being used.On its expiry, it needs to be activated again. It is the time in seconds for which the entry is valid. The different pieces of information are arranged in the record in their relevant fields. The PTR record's structure is the same as other DNS record types. Here the user already knows the IP address and wishes to find the domain or hostname associated with that IP. When a user enters a domain name in the browser, the DNS lookup process occurs, matching the domain name to an IP address.Ī reverse DNS lookup or reverse IP address lookup is an opposite process that starts with an IP address and ends with the associated domain name or hostname's lookup. Typically, a user wishes to establish a connection to a server with an already-known domain name, but the user does not have the correct IP address. PTR record lookups are the opposite of an A record lookup for an IPv4 address and an AAAA record lookup for an IPv6 address. You can get the associated domain name or hostname using the IP address. PTR records, referred to as "reverse DNS" records, are used in IP reverse lookup. What is DNS PTR (Pointer) Record?Ī PTR record, known as a pointer record or reverse DNS record, is the type of Domain Name System (DNS) record used to store the domain or hostname for an IP address. If you enter your IP, it might point to the hostname of your ISP, or if you query your server's IP, it might show you your domain name on which it resolves. This hostname is Google's hostname against IP 8.8.8.8, which is Google's public DNS IP. The hostname is anything like a normal domain or sub-domain, i.e.,. The Reverse DNS Check tool queries the given IP to resolve to a hostname. ![]() ![]() ![]() And the d20, with its probability spread ideal for generating ability scores, attack rolls, and saving throws, quickly became the workhorse die that drove much of the gameplay. Players loved how throwing these odd shapes added an element of randomness and chance to their experience adventuring in dungeons full of dragons and magic. When developing the original Dungeons & Dragons – and inventing the concept of tabletop RPGs – they adapted the offbeat dice from wargames to use in their fantasy game. But it took the 1970s creativity of Gary Gygax and Dave Arneson to propel the d20 from obscurity into lasting fame. This game we tried over with varying fortunes for some years before we published it.Īs wargaming proliferated through the 1900s, so did the use of polyhedral dice like the d20. ![]() Hitherto war games have been either for one person alone, one general, planning his campaign, or else have been played by a very large number of players…. The game has grown out of a small war game we contrived in the days when smokeless powder was undreamed of…and from that we developed the ammunition and shooting side until there grew under our hands a body of rules and equivalents that made what we may call a game for two players or two sides. Wells in 1913, specifically promoted the d20 as an improvement over existing systems. The first modern wargame rulebook, "Little Wars" by H.G. Not long after, the fledgling tabletop wargaming community adopted polyhedral dice like the d20 for simulating probabilistic chance in battle outcomes. In 1833, he published a taxonomy of the Kepler-Poinsot polyhedra which included the icosahedron, sparking new interest in this shape among academics. But it rolled back into popularity thanks to an English mathematician named Sir Thomas Brisbane. The icosahedron largely faded from view through the Middle Ages and Renaissance periods in Europe. ![]() But it‘s clear this shape held significance for ritual and divination centuries before becoming a gaming staple. Of course, we have no records of how the ancients actually played games with dice. ![]() The icosahedron provided a convenient and fair way to leave one‘s fate up to the gods! Scholars believe these cultures used 20-sided dice to randomly select a symbol or verse to consult for guidance, similar to drawing lots or sticks. 1800 BCE) were excavated from the ancient city of Tell Asmar and made of hematite, limestone and marble. Carved from serpentine, the faces are inscribed with Greek letters and it remains in amazing condition. The Greek letters were likely used to reference an oracle text. The Roman 20-sided die (c.2nd-4th century CE) pictured below was made of glass and discovered in the ruins of Antioch.While we now associate 20-sided dice with RPGs and gaming, some of the earliest known d20s come from ancient civilizations where they served a completely different purpose – divination and fortune telling!Īrcheologists have uncovered icosahedral dice made of materials like stone, glass, and gemstones dating back thousands of years: Ancient Twenty-Siders – For Oracles, Not Games The d20 retains the perfect icosahedral form – which is why it feels so balanced and rolls so cleanly. No wonder ancient philosophers and mathematicians were fascinated by these shapes. This efficiency and symmetry contributes to its appeal! In fact, the icosahedron maximizes the volume for surface area ratio compared to other Platonic solids. When inscribed in a sphere, each vertex touches the sphere.30 edges connect the vertices and faces.There are 12 vertices where 5 triangles meet.It has 20 identical equilateral triangle faces.Here‘s some cool mathematical properties that emerge from the icosahedron structure: There are only five such shapes that meet these criteria – the tetrahedron (4 triangle faces), cube (6 square faces), octahedron (8 triangle faces), dodecahedron (12 pentagon faces), and finally the icosahedron, with its 20 equilateral triangle faces. Platonic solids are 3D geometric shapes where each face is a regular polygon, and the same number of faces meet at each vertex. The secret behind the d20 is that its shape forms an icosahedron, one of the five perfect Platonic solids. The Geometric Elegance of the Icosahedron That‘s right…the twenty-sided die, also known as the d20.īut what exactly makes the d20 so special mathematically, why did it become the most popular RPG die, and what is the story behind its ancient origins and adoption into modern gaming? As a lifelong D&D player, I wanted to share some of the fascinating facts I‘ve picked up over the years about the icosahedral twenty-sider we know and love. As tabletop gamers, we all know the iconic dice used in Dungeons & Dragons and other RPGs – the one with 20 triangular faces that rolls and tumbles with satisfying clatter. ![]() ![]() This Spectrum Premium Channel Guide provides a complete list of Spectrum channels, plans, add-on options, and pricing details. Let’s look at the pricing for Add-ons offered by Spectrum for sports lovers: Overall, Spectrum TV offers a good selection of sports channels for sports lovers to choose from. Spectrum allows subscribers to upgrade or downgrade their TV channel package at any time. Additionally, basketball fans can opt for the NBA League Pass to watch 40 weekly out-of-market basketball games. Rugby and soccer fans can subscribe to the International Sports Package to watch live games from across the world. With the Sports Pack, subscribers can enjoy 20+ sports channels including NFL RedZone and MLB Strike Zone. For those who want more options, Spectrum offers a variety of add-on tiers such as the Sports View and NBA League Pass. The Spectrum TV Select plan provides customers with access to basic sports channels like ESPN, Fox Sports 1, and NBC Sports Network. Spectrum TV offers a range of sports channels for enthusiasts to choose from. Popular Spectrum TV Channels (printable spectrum channel guide) Overall, Spectrum's extensive selection of TV channels and apps offers its customers a range of entertainment options to choose from. Plus, Spectrum provides its subscribers with the option to stream sports seasons and music choice channels LIVE from anywhere at any time through the available channel apps. Spectrum TV App allows viewers to enjoy their favorite programming across compatible devices, with access to over 170 live channels, 60+ network apps, and up to 50,000 on-demand titles. ![]() Customers can subscribe to Spectrum TV packages that suit their preferences, with options including a wide range of sports channels, Hispanic channels, and premium channels such as HBO Max and SHOWTIME. Spectrum also provides access to various smart devices, allowing for compatible viewing on the go. Their channel lineup includes over 125 channels, including popular networks such as CNN, Discovery Channel, and HGTV, as well as free HD and thousands of on-demand choices. Spectrum offers a variety of TV channels for its customers to enjoy. Customers who wish to lower their bills while still enjoying access to their favorite channels may want to consider Sling TV, which offers lower rates and a flexible channel selection.Ĭall 1-88 for the Best Cable, Phone, and Internet Deals Spectrum Channel List Keep in mind that the standard rates apply after the first year and TV equipment is required and may also come with tax, fees, and surcharges. Though the channel availability may change, Spectrum consistently provides access to basic channels such as ABC, NBC, FOX, and CBS. Additionally, Spectrum offers add-on tiers and premium channels for an additional monthly charge. With your Spectrum credentials, you can also sign into any of the channel apps that are a part of your TV subscription, allowing for on-the-go streaming. Fortunately, Spectrum offers an app that allows you to access over 170 live channels, 60+ network apps, and up to 50,000 On Demand titles on a single platform. The channel lineup will vary depending on where you live. They offer a variety of TV plans organized into three tiers: bronze, silver, and gold. Spectrum is a cable provider with over 26 million subscribers across 44 states. Spectrum operates in 44 states, and it updates its information as soon as there are changes in channel numbers. To help customers cut costs on TV subscriptions, Sling TV offers the lowest rates for the channels that customers love and provides flexibility to choose channels. The recent trend is for the company to promote its 140+ channel lineup and avoid promising specific channels to prevent any contract dispute with a media company. Spectrum has been focusing more on its internet service than its TV subscriptions. ![]() ![]() Moreover, Spectrum offers three different tiers of TV plans: bronze, silver, and gold, with each package having different channels. ![]() The Spectrum channel number list available online provides updated information on Spectrum Channel numbers. To solve this problem, several resources have compiled a list of what the channel lineups are for the most significant areas of Spectrum's operation. For instance, TBS could be on channel 46 in Los Angeles and on channel 8 in New York. However, these numbers vary depending on the location of the customer. Spectrum Channel Numbers are essential for customers who want to enjoy their favorite TV shows and channels. ![]() ![]() To overcome this problem, Bohr assumed that electrons could only move in specific orbits, each one characterized by its energy level. Classical electromagnetism predicted that a charged particle moving in a circular way would emit energy so that the electrons should collapse on the nucleus in short moments of time. In this model the electrons revolve in circular orbits around the nucleus, occupying the lowest possible energy orbit, or the closest possible orbit to the nucleus. ![]() Bohr's atomic model was conceptually based on Rutherford's atomic model and the emerging ideas about quantization that had emerged a few years earlier with the research of Max Planck and Albert Einstein. He described the hydrogen atom as having a proton in the nucleus, and an electron revolving around it. With the discovery of this electron cloud, a more adequate model of the atom became available to scientists.īohr was trying to make an atomic model capable of explaining the stability of matter and the discrete emission and absorption spectra that are observed in gases. This particle became known as the neutron. James Chadwick interpreted this radiation as composed of particles with a neutral electrical charge and the approximate mass of a proton. Until 1932, it was believed that the atom was composed of a positively charged nucleus surrounded by negatively charged electrons. Where the cloud is denser, the probability of finding electrons is higher and, conversely, the electron is less likely to be in a less dense area of the cloud. This model can be represented as a nucleus surrounded by a subparticle. Unlike the Bohr model, this model does not define the exact path of an electron, but rather predicts the probabilities of the electron's location. This atomic model is known as the quantum mechanical model. In 1926, Erwin Schrödinger, an Austrian physicist, took Bohr's atomic model one step further. This model is based on the solar system and is known as the planetary model. He proposed that the electrons are arranged in concentric circular orbits around the nucleus. In 1913 Niels Bohr developed a new model of the atom. ![]() In addition, Bohr's model incorporated ideas taken from the photoelectric effect, explained by Albert Einstein. It was proposed in 1913 by the Danish physicist Niels Bohr, to explain how electrons can have stable orbits around the nucleus and why atoms exhibited characteristic emission spectra (two problems that were ignored in Rutherford's previous model). Since the quantization of momentum is adequately introduced, the model can be considered transactional in that it falls between classical and quantum mechanics. The Bohr model of the atom is a classical model of the atom, but it was the first atomic model in which it was proposed that electrons could only occupy specific orbits, called stable orbits. ![]() ![]() Changes in spacing usually happen near the ends of walls or doors and windows. Most studs are spaced at 16-inch intervals-find one, and the next stud should be about that same distance in either direction. Stud-Finding Tips from Our Expert, Bradley Ford However, because we had access to the back of the wall, we concluded that this had to do with wire depth-more than 2 inches from the face of the wall and the wires were harder to pick up. We found the live AC wire detection was unreliable, with some misses along the wire path. We could detect copper and black pipe without a center indication in me-scan mode. We like that it has a center indicator, which saves time making edges to locate the center manually. As long as we waited for the audible beep, it found stud centers and edges within ¼ of an inch. We noted that it could be inaccurate if we neglected to wait for the calibration to complete after turning the unit on. It features four scan modes: three for specific objects (wood, metal, live AC wiring) plus one for deep scanning-all work reasonably well. We noticed many positive reviews on Amazon, so we tried the Tavool 4-in-1 Stud Sensor. We also recommend a few that we haven’t had a chance to test out yet, but that we think are promising based on product specs and user reviews. We found several stud finders that worked great, and used our DIY and carpentry expertise here at Popular Mechanics to determine which stud finders were best for various uses. We also took the stud finders to two homes-one, a mid-1800s house with lath and plaster, and the other, a 1970s tract house-for real-world testing. Then, we scanned the wall with each of the stud finders.Īll functioned as expected when it came to detecting the studs, but we quickly found that some of them didn’t work as advertised. How We Evaluatedįor our evaluations, we built a four-by-eight-foot wall from common materials: wood and metal studs drywall copper, black, pex, and PVC pipes and nonmetallic sheathed cable. Scroll to the bottom for more advice on how to get the most out of your stud finder. Take everything with a grain of salt, and use the stud finder in conjunction with the placement of electrical and plumbing fixtures to figure things out. While you may get definitive results in one case, you could be left scratching your head in another. Stud finders have their jobs cut out for them, given the many variables in wall materials and construction. If you plan on hanging heavier items or anything that’ll bear weight, like a shelf or a bike rack, you might want to get an electronic stud finder to make sure you’re on target.Ĭlockwise, from left: detecting a ferrous object-black pipe-in our test wall finding a stud’s center setting deep scan mode. The most advanced stud finders use technology like ground-penetrating radar, which uses radar pulses to create a subsurface image.įor most occasional home uses, like hanging pictures or bathroom mirrors, a magnetic stud finder will do the trick. Some also identify metal pipes or electrical wires. When the signal changes, the stud finder beeps or flashes to let you know it’s found a stud. Most electronic stud finders work by sending out a signal from a sensor inside, then reading the signal that bounces back. In commercial construction, where metal studs are standard, you may find magnetic stud finders more useful. If the builder missed the stud, so will the magnetic stud finder. Magnetic stud finders aren’t always the most accurate, though-they rely on the fastener actually being driven into the stud. We tested several options to find the best stud finders for home and commercial use, whether you just need a hand hanging up your new shelves or you’re hoping to avoid damage while you work within the drywall. To test all the features, we put a selection of stud finders through their paces on a wall of our own making and walls in real homes. ![]() That doesn’t mean that stud finders work like X-ray vision, though-there’s a lot going on in walls, and it can be hard, despite advances in tech, for any device to determine what’s a pipe and what’s a wire, for instance. This can help make sure you don’t hit a pipe or wire when hanging something up-a mistake that can quickly become an expensive one. ![]() ![]() Some stud finders have other features, too, like deep scanning and AC wire detection. Studs-the wooden or metal beams that your drywall is attached to-are the most sturdy place to sink weight-bearing anchors into drywall to ensure your wall hangings don’t fall. ![]() Knowing where your studs are is crucial for hanging up heavy items, like mirrors or mounts for flat-screen TVs. A stud finder is good for, well, finding studs you can’t see. ![]() ![]() ![]() Always consult the support site for your specific browser for accurate guidance. Remember that these instructions may vary slightly based on the browser you use, such as Firefox or Safari. Cache: It retains parts of pages (e.g., images) to expedite loading during subsequent visits. Cookies: These are files created by visited sites, enhancing your online experience by storing browsing data. Certain sites might seem slower as content, such as images, needs to reload. Some site settings may be deleted, requiring you to sign in again. Tap “Clear browsing data.” After Clearing Cache and Cookies: Ensure there's a check mark next to "Cookies, Site Data," and "Cached Images and Files."ĥ. Tap the three dots at the bottom and select "History."Ĥ. Open the Chrome app on your iPhone or iPad.Ģ. To ensure seamless sign-in, update your recovery phone number and email address beforehand.Ĭlearing Cache and Cookies on iOS (Chrome app):ġ. It's essential to be aware that clearing this data may sign you out of your Google Account. Click “Clear data.” Before Clearing Cache and Cookies: Check the boxes next to "Cookies and other site data" and "Cached images and files."Ħ. Choose a time range or select "All time" for a comprehensive cleanup.ĥ. Go to "More tools" and then "Clear browsing data."Ĥ. ![]() Click the three dots at the top right to access the menu.ģ. Tap "Clear data." Clearing Cache and Cookies on Computer (Chrome):Ģ. Check the boxes next to "Cookies and site data" and "Cached images and files."Ħ. Choose a time range or select "All time" to delete everything.ĥ. Select "History" and then "Clear browsing data."Ĥ. Then tap Settings and scroll down to Delete browsing data.3. To access this function, tap the More button on the right of the address bar, again symbolized by three vertically aligned dots. Much as with Google Chrome, you can clear the cache from within the Mozilla Firefox Android app. Read more: Change These Android Settings to Get the Most Out of Your Phone Mozilla Firefox While it doesn't specify cookies, this "going nuclear" approach should zap all remaining data, letting you restart the Samsung Internet browser as if it were brand-new. Tapping Clear cache will immediately delete the cache, but Clear data brings up a prompt that warns you that all of the application's data will be deleted permanently, including files, settings, accounts and databases. However, if you want to access similar options from your phone's settings menu, open the Settings app and tap on Apps, then scroll down to and tap Samsung Internet and then Storage.Īt the bottom of Storage, you get separate options to Clear cache and Clear data. Going through the browser app itself provides the most customization of what you want to delete. Otherwise if you do not receive that prompt, Chrome will immediately proceed to clear as you instructed. ![]() You might receive an additional prompt in the event Chrome deems certain websites as being "important" to you, and if so you'll get the chance to confirm before clearing. After selecting what you want to delete, tap the blue Clear data button. Tapping Advanced will also give you access to deleting Saved passwords, Autofill form data and Site settings. You can use the Time range drop-down to select whether you want to delete the entire history or a selection of anywhere from the past 24 hours up to the last four weeks. You can also access this from the Chrome Settings menu, tapping Privacy and Security and then Clear browsing data.Ĭhrome also offers Basic and Advanced settings for clearing your Browsing history, Cookies and site data and Cached images and files. You can delete your cookies and cache from within the Android version of Google Chrome by first tapping the More button in the top right corner of the browser, indicated by a column of three dots, then tapping History, then Clear browsing data. ![]() ![]() ![]() If 9 of Hearts, 7 of Hearts, and 8 of Hearts are in order, the game is lost, as you will never be able to sequence those cards. This way, you can move a King, start building new sequences, and free up cards in the process. This will make sequencing these cards challenging. Avoid having lower-ranking cards above higher-ranking cards in the same column.Only deal cards from the stock pile when you have no other moves.Prioritize moving cards to reveal the face-down cards and make them playable.To win a Scorpion Solitaire game, you’ll want to pay close attention and follow these tips: You win when all cards are moved to the foundation.The 3 stock pile cards can be dispensed at any time and will be placed on top of the cards at the bottom of the first 3 tableau columns.If a tableau column is empty, a King can be placed there.Face-down cards are turned face-up when there are no cards below them.When that’s complete, those cards will move from the tableau and into the foundation. Similar to Spider, move cards to build sequences from King to Ace by suit in the tableau.For example, if you have a 5 of Hearts and an 8 of Spades underneath it, both cards can be moved together on top of a 6 of Hearts that sits at the bottom of the tableau. Similar to Yukon, a card and all the cards beneath it can be moved on top of the bottom card of a tableau column if it is one rank lower and of the same suit.When cards are placed by suit in descending order from King to Ace, they are automatically placed in the foundation. Stock pile: There are three cards in the stock pile that when played will be dealt to the first 3 columns of the tableau.įoundation piles: These are the 4 piles at the top of the game. The last 3 columns have 7 cards each, all turned face-up. The 4 columns have 6 cards, with the last four cards turned face-up. ![]() ![]() Tableau: This is the area where there are seven columns of cards. The goal is to create sequences of cards from Ace to King by suit in the tableau, which will then be moved to the foundation when complete. Scorpion is a Solitaire game played with one deck of cards, similar to both Spider Solitaire and Yukon. Compete against others in the game of the day.We'll start by discussing the history of Solitaire and its various forms before diving into some notable varieties like Spider, Freecell, Klondike and Scorpion. In this article, we will discuss how Solitaire has changed through history and play through some of 20 different versions. In fact, Solitaire is best enjoyed when you don’t spend too much time on it. Solitaire can be difficult and addictive, but you don’t have to be good at it to enjoy the game. Also known as Patience, it’s played by dealing cards from a shuffled pack onto the table in an attempt to build up a winning pile of cards. Solitaire is a game that dates back to the 17th century. So if you’re looking for an addicting and challenging game, give Scorpion Solitaire a try! You’ll love But have you ever stopped to think about the origins of this classic card game? It’s actually a highly complex, intricate and captivating puzzle with hundreds of variations. The most beautiful game of patience is going to make you believe this: Solitaire is a timeless tradition that has been around for centuries. Games like Scorpion Solitaire are making it easier for people to find the time for fun activities that might otherwise seem The art of card games is often overlooked in today’s society but it doesn’t need to be that way anymore. It's easy to learn and has an interface that will help you get started quickly. In addition to having three difficulty levels, you can also play with an opponent or against the computer. It's a classic solitaire game with some modern twists. Scorpion Solitaire is a free online card game. ![]() ![]() ![]() If we take values closer and closer to 0 (something like 0.1, then 0.001, 0.000001.), we can see that the value of y increases very rapidly. If we try to find the y-intercept by substituting x = 0, we arrive at what is called a mathematically undefined expression since it makes no sense to divide by 0. The definition might not seem totally clear, but if we look at an example equation, we will have fewer problems with understanding it. ![]() An asymptote is a line (that can be expressed as a linear equation) to which the function or curve we are talking about gets closer and closer but never actually crosses or touches that line. The second and third groups of equations are a bit more tricky to imagine and to understand them well, we need to introduce the concept of an asymptote. Please don't try to calculate these types of intercepts on this slope intercept form calculator as these types of equations can potentially break the Internet. A good easy example is y = 3 (or any other constant value of y except for 0) since this is a line parallel to the x-axis and will, thus, never cross or intercept it. The first group (y-intercept only) can have almost any type of equation, including linear equations. We can distinguish 3 groups of equations depending on whether they have a y-intercept only, an x-intercept only, or neither. You will see later why the y-intercept is an important parameter in linear equations, and you will also learn about the physical meaning of its value in certain real-world examples. To find it, you have to substitute x = 0 in the linear equation. The y-intercept is the value of y at which the line crosses the y-axis. You can read more about it in the description of our slope calculator. If it is negative, y decreases with an increasing x. If it is positive, the values of y increase when x increases. It tells us how much y changes for a fixed change in x. The term slope is the incline, or gradient, of a line. You can use these values for linear interpolation later. This is the so-called slope intercept form because it gives you two important pieces of information: the slope m and the y-intercept b of the line. (For example, you will find an x or a y, but never an x².) Each linear equation describes a straight line, which can be expressed using the slope intercept form equation.Īs we have seen before, you can write the equation of any line in the form of y = mx + b. Linear equations, or straight-line equations, can be quickly recognized as they have no terms with exponents in them. You can check our average rate of change calculator to find the relation between the variables of non-linear functions. (Both of these functions can be extended so that their domains are the complex numbers, and the ranges change as well.In this slope intercept calculator, we will focus only on the straight line. The sine function takes the reals (domain) to the closed interval (range). For example, the function takes the reals (domain) to the non-negative reals (range). ![]() The values taken by the function are collectively referred to as the range. Informally, if a function is defined on some set, then we call that set the domain. For example, a function that is defined for real values in has domain, and is sometimes said to be "a function over the reals." The set of values to which is sent by the function is called the range. The domain of a function,, is most commonly defined as the set of values for which a function is defined.
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