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![]() Other Fibonacci sequencesĪlthough the most famous Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55., a Fibonacci sequence may be any series of numbers in which each succeeding Table 1. The numbers in the “Total Pairs ” column represent the Fibonacci sequence. Beginning in the third month, the number in the “Mature Pairs ” column represents the number of pairs that can bear rabbits. Each pair of rabbits can only give birth after its first month of life. Each number in the table represents a pair of rabbits. ![]() Table 1 illustrates one way of looking at Fibonacci ’s solution to this problem. The problem was this: Beginning with a single pair of rabbits (one male and one female), how many pairs of rabbits will be born in a year, assuming that every month each male and female rabbit gives birth to a new pair of rabbits, and the new pair of rabbits itself starts giving birth to additional pairs of rabbits after the first month of their birth? The Fibonacci sequence was the outcome of a mathematical problem about rabbit breeding that was posed in the Liber Abaci. The Liber Abaci showed how superior the Hindu-Arabic arithmetic system was to the Roman numeral system, and it showed how the Hindu-Arabic system of arithmetic could be applied to benefit Italian merchants. In 1202, he published his knowledge in a famous book called the Liber Abaci (which means the “book of the abacus, ” even though it had nothing to do with the abacus). While growing up in North Africa, Fibonacci learned the more efficient Hindu-Arabic system of arithmetical notation (1, 2, 3, 4.) from an Arab teacher. ![]() Mathematical calculations were made using the Roman numeral system (I, II, III, IV, V, VI, etc.), but that system made it hard to do the addition, subtraction, multiplication, and division that merchants needed to keep track of their transactions. Italians were some of the western world ’s most proficient traders and merchants during the Middle Ages, and they needed arithmetic to keep track of their commercial transactions. Fibonacci, the son of an Italian businessman from the city of Pisa, grew up in a trading colony in North Africa during the Middle Ages. The Fibonacci sequence was invented by the Italian Leonardo Pisano Bigollo (1180 –1250), who is known in mathematical history by several names: Leonardo of Pisa (Pisano means “from Pisa ”) and Fibonacci (which means “son of Bonacci ”). This sequence expresses many naturally occurring relationships in the plant world. The Fibonacci sequence is a series of numbers in which each succeeding number (after the second) is the sum of the previous two. ![]() ![]() ![]() ![]() You wouldn’t believe how many youth players who grew up playing a certain soccer position, end up playing something totally different once they reach high school soccer. Youth players should learn to play different soccer positions Learn these four best ways to shoot the ball Players who can shoot from distance can take advantage of playing on the ‘opposite side’. If a player is better at crossing then a right footed player should play on the right side. The reason is because when they cut inside they are able to shoot with their stronger foot. Ronaldo and Benzema plays on the left side, even though he is a right footed player. Some of the best pro players in the world play on the opposite side.Įxample: Messi and Robben tend to play more on the right side of the field even though they are left footed players. Meaning, if a player is right footed playing on the left side of the field. One thing I really like to encourage players on is playing on the opposite side of the field of their strong foot. Right footed forwards playing on the left side That being said, I am going to start with striker simply because it’s easily one of the more recognized roles on the pitch and most kids are interested in it due to getting to score goals.ġ3 Different positions – depending on formationĮven though 11 players is the max number to field, there are 13+ position names to know.ġ) Striker – The term striker is most often used to describe a forward who is particularly good at goal scoring.Ģ) Forward – the player who plays up front and scores most of the goals.ģ) Midfielder – the players in the center of the field responsible for both assisting offense and defense.Ĥ) Attacking Midfielder – the player in midfield that assist the forwards in setting up goals.ĥ) Central Midfielder – the leader of the midfield, often the team’s leader, responsible for play organization and completion, including setting up forwards for finishing.Ħ) Defensive Midfielder – the player in midfield that operates in a defense-like role, often marking the opposing team’s strongest offensive players.ħ) Wide Midfielder – the player supports the attacking game but may function more as a defender, depending on the formation used.Ĩ) Defender – the players in the back third of the field, primary goal is to prevent the other team from scoring or having opportunities to score.ĩ) Center Fullback – the ‘last’ defender plays directly in front of own goal and considered the strongest defenderġ0) Sweeper – a defender who plays behind the line ġ1) Wingback – the player who is a combination of a back and a winger this player is a defender who focuses on supporting attackers ġ2) Winger – outside players, play on the ‘wings’ of field, must be good at crossing and passing.ġ3) Goalkeeper – the player responsible for stopping the other team from putting balls in the goal the only player allowed to use hands typically direct much of the team, especially in set pieces. The varying formations require knowledge of the different soccer positions that can be played by the athletes. Soccer can be played so many ways and while certain formations are more popular at certain levels of play or preferred by certain coaches. Younger age groups do 7v7 or 9v9 which is smart because this allows them more touches.Īges 6-8 usually don’t have the skill or experience, so there’s not as many passes connected. If you want to improve learn these different positions and see how you can improve in certain areas.ĭepending on the age of the player depends on how many players play on the field.įor middle school up to the pros the numbers are 11 vs 11. Older players also need to keep learning. Kids are smarter than we think, and sometimes the teaching just needs to be more detailed. If the parents and coaches can help by communicating by showing on a tactical pad and on the actual pitch it helps. For younger players sports can be confusing, especially when it comes to different soccer positions. ![]() ![]() ![]() After that you have the System Common MIDI Messages, which all start with '0xF'. So the original MIDI Specification 1.0 (1996) has a section for Channel Voice MIDI Messages, starting with Note On (0x8n in modern formatting, but shown in mid 90's style as 8nH, where 'H' means Hexadecimal and 'n' is the MIDI channel (0x00-00xF or 00H-0FH for 1-16)), then Note Off (0x9n, 9nH), through to Pitch Bend (0圎n, EnH). And since you are now intrigued, I'm going to leave that until another post. I spotted some of the things that were put in there by knowledgable hardware people who really knew their stuff, like what a MIDI Clock message actually looks like 'on the wire' of a 5-pin DIN cable, and why it was defined like that. Since I got my first copy of the original MIDI Specification back in the mid 1990s, then I have read it carefully and repeatedly. When you have spent a long time with something, then you think you know about it. But you must never let your guard down.Īs with all unexpected things, it crept up on me silently, unannounced, from a direction I wasn't expecting. It is an expanded version of the 'Never Assume Anything' rule. One of the things that has been beaten into me, over many years of working with hardware, firmware and software, is a rule that has many forms, but which boils down to something like: ![]() ![]() Sometimes 'The Bears' really are lurking, ready to get you if you step on the cracks between the paving stones. ![]() ![]() The sharing is made so easy that everybody can easily use this software without any problem. Its main window contains all the necessary features which you will need while sharing your media. It has very neat and clean user interface and when you open it for very first time you will be asked to create an identity for your Device. It has a user friendly and very modern GUI which looks really good. Its main purpose of development is to share media without using the Bluetooth or other technologies. It’s tiny and light weight software which can be handled very easily. SHAREit is simple yet elegant software which allows its users to share media between different devices. It is full offline installer standalone setup of ShareIt 4.0.6.177. Xender is a Chinese app developed by a Chinese company Xender Digital Technology Private Limited.ShareIt For Windows Free Download Latest Version for Windows. Yes, Xender is a free app and you can install Xender on PC or your phone without paying anything. Xender App Download For iPhone Or iPad Is Xender A Free App? You can download the Xender smartphone application directly from the Google Play Store or from Apple’s Appstore. So if you want to use Xender for PC without Bluestacks then you can check out these alternate best Android emulators. ![]() That said, it consumes a considerable amount of system resources and offers poor performance coupled with laggy experience on low-powered laptops. Undoubtedly, Bluestacks is a feature-rich Android emulator. However, while using the Cloud Mode, one of the devices is not connected to the same Wi-Fi/Internet network and there will be a data transfer limitation of 10MB. It is worth noting that while using Direct Mode, both devices are connected to the same Wi-Fi/Internet network and there will be no data transfer limitation. Accept the permission on your mobile device, and you should be connected. Let your laptop join the Personal Hotspot created by your mobile device.Ĥ. On Xender choose Connect PC mode and turn on the Personal Hotspot.Ģ. Scan the QR Code with your iOS device both devices should be automatically connected.ġ. Open Xender in your Android device, tap the “Connect PC” on the side menu andģ. Scan the QR Code with your Android device both devices should be automatically connected.ġ. Open Xender in your Android device, tap the “+” button and choose “Connect PC”.Ģ. You can follow these simple instructions to transfer files from your Android or iOS smartphone to your PC.ġ. As a result, you can install Xender on Windows 11 using the Amazon app store.įurthermore, you can even sideload and manually install the Xender APK on your Windows 11 computer. Microsoft has also introduced the Amazon Android app store on Windows 11 to offer easy access to thousands of Android apps. This means you no longer need an emulator to download Android apps on a Windows 11 PC. Windows 11 allows users to natively download and install Android apps on their computers. Install the application and follow the on-screen instructions to start using it.Įven though Xender is installed on a Windows system the application will now run in the Android environment.Next up open Playstore and search “Xender”.Once installed sign-in with your Google account on Bluestacks.Download the Bluestacks emulator and install the. ![]() You can choose any Android emulator of your choice. using an Android emulator.įor the tutorial, we are using Bluestacks. Presently, there’s only one method for installing Android apps and games on Windows or macOS, and i.e. That said, this application is not regularly updated and it might not be compatible with an older Windows computer that is not running on Windows 10. There’s an official version of Xender application available on the Windows App store. ![]() ![]() Once downloaded simply follow the on-screen instructions to install Xender on Windows 10 PC.ĭownload Xender App For Windows 10 PC 3. ![]() ![]() The cards must be added in ascending order from your Ace through your King. Players of Yukon Solitaire can either move cards to the foundation by dragging them or double clicking the cards. The object of the two suited Yukon Solitaire games is to move the entire deck to the foundations at the right of the solitaire board. This combo makes for a more difficult game but because it is started with two suits instead of four, chances of winning this fun, free version of spider solitaire are elevated! ![]() Just because Yukon Solitaire is easier than other Spider Solitaire varieties does not mean that it is a cake walk! Yukon Solitaire is a combination of traditional solitaire and spider solitaire. The goal of Spider Solitaire is to use the 2 decks of cards to build 8 suited foundations by reorganizing. Yukon Solitaire is a great game for Spider Solitaire beginners! Play our free Spider Solitaire card video game. Play with the 2 separate foundation for each live suit. Try to beat your own high score and see who's the biggest spider on the web. Cards may be played in descending order, but not if they are of different suits. Because there are only two suits, players of Yukon Solitaire are presented with 2 different foundations. Play Spider Solitaire with two suits instead of one, a challenging and fun card game. Yukon Solitaire only uses two suits, it does not use four. We have 1, 2 and 4 suits Spider Solitaire and all other classic Solitaire games. to deal a new card onto each tableau column. Play Spider Solitaire, one of the most popular Solitaire games. Yukon Solitaire is an original version of Spider Solitaire. The goal is to move all cards to the eight foundations at the. ![]() ![]() ![]() That’s according to the head of the piano faculty at Juilliard – Veda Kaplinsky. One thing we do know is that practising for more than six hours per day actually does more harm than good. Just how long should you be practising for? Six hours? One hour? Somewhere in between? In reality, it’s different for every person. ![]() It’s certainly a topic that is high on the list of discussion within the piano world. Now that you have a good idea of what will be included in your practice, the next step is to figure out how long to practise for. If you are a beginner pianist reading this, and want to top up your notes and chords learning before getting stuck in to structuring your practices, take a look at this article full of tips on the topic. Pianist contributor Mark Tanner explains, “Regular scales practice will really improve your technique, and you will be able to read music much easier.” Read Mark Tanner's tips on maximising your practice time in issue 62. Some of you may be studying for an exam, some of you may play as a hobby, and some of you may be working towards becoming a professional pianist. Even if you may not be working towards an exam as such, it’s still advised that you work on scales and arpeggios. What your schedule consists of will depend on what type of learner you are. how to maximise that time spent at the piano.By the time you have finished reading this article, you are going to walk away with a practice structure all set-out and ready for your next session. ![]() ![]() ![]() The great thing about barn finds is that you can restore the cars inside of them to their former glory and show them off in your collection once you’ve done so. Advancing your console’s integrated clock by one week will trigger a season change, therefore unlocking the hidden cars. If you’re impatient, there’s a little trick you can do that will unlock these cars faster. Some cars in the game are tied to the seasons, meaning that they are only available at certain times of the year and only for a short period. ![]() Depending on how you decide to progress through the game and how much time you spend on individual missions and races, you can expect to get a message that you’ve unlocked a new barn every 45 to 60 minutes. Forza Horizon has lots of barns which can be easily activated by simply going over the game campaign. The concept of barn finds isn’t new to Forza Horizon 4, but the developers have made some changes which slightly affect the game and the way that barns operate. This Forza Horizon 4 barn finds list will help locate where the cars are hidden and save you valuable time in tracking them down. Although you can drive hundreds of cars in the game, some of the best vehicles it has to offer are hidden. It’s just as fun on a controller as it is on a dedicated gaming steering wheel, making it just as accessible to average gamers as it is to hardcore car enthusiasts. Forza Horizon 4 is one of the most enjoyable and exciting racing games currently out there. ![]() ![]() Where NordVPN really shines, however, is with Netflix. Our latest tests showed Nord unblocks all leading streaming services, including Amazon Prime, Disney+, Hulu, YouTube, and BBC iPlayer. In fact, you could all be streaming Netflix in 4K, and NordVPN will still be fast enough that you won't have to suffer buffering. With speeds of over 700 Mbps, you can install it on a router and protect every internet-connected device in your home without being slowed down. ▶ Try NordVPN with a 30-day money-back guarantee. However, this gearing towards the tech-savvy may be a bit overwhelming for less experienced users. The Windows client is fast to set up and the map-style interface is a lot of fun for veteran users and comes with plenty of security features, like Tor over VPN and double VPN encryption for greater anonymity. Many of the more popular locations have multiple server locations, so you don't have to fight to get a connection or experience slow speeds because of congested servers. ![]() NordVPN has an enormous global network, with over 5,500 servers in 60 countries. Read our NordVPN review to find out why NordVPN is such a close second to ExpressVPN. Simply put, ExpressVPN is dedicated to being the best VPN around, and our analysis shows that it truly lives up to these lofty aims. Alternatively, there are plenty of articles on its website to help with setup and popular use cases. ExpressVPN doesn't keep tabs on what you do online and never logs your IP address.Įxpert and friendly customer support are on-hand 24/7 via live chat or email for any problems you might encounter. 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Other great tools for Windows VPN users include split tunneling, which lets you select apps to bypass the VPN encryption, should you need to access local sites and services. ▶ Try the best Windows VPN for PC with a 30-day money-back guarantee. If you want somewhere specific, you can change the location to any of its over 160 locations and save it as your favorite for all future sessions. Plus, you can see a variety of recommended server options listed below. ![]() With its one-click connect function, you can instantly connect to the fastest server near you. Whether you're a new user or a seasoned pro, ExpressVPN is simple to set up and easy to use. If you need a quick answer, don't worry-here are my 3 top PC VPN picks:Ĭheck out our ExpressVPN review to learn more about this incredible VPN service and see why it's our top VPN for Windows.ĮxpressVPN continues to dominate our Windows VPN list thanks to its high-quality and reliable apps, an incredible selection of servers around the globe, and tremendous content unblocking. I've been reviewing VPNs for years (and use one every day), and have compared the features, apps, security tools, and speed of the top contenders to curate this list of the best PC VPNs in 2024. VPNs aren't all created equally, though, and that's where me and the TechRadar team enter the picture. This ensures your online activity can't be tracked back to you, and lets you bypass geo-restrictions-so you can access content from anywhere in the world. ![]() The best VPNs encrypt your data and route it through secure servers to hide your IP address. Combine this with the fact that the web is crawling with threats, and there are plenty of good reasons to bag a VPN for your VPN. However, Windows apps usually have the lion's share of features and tools. ![]() Nowadays, VPNs are designed to work on all sorts of platforms with apps for mobiles, consoles, and even your Smart TV. ![]() ![]() Usually moving pods cost less than hiring a moving company however, it may not be a suitable option for those who don’t have a yard or driveway where the container can be stored. ![]() Moving containers are highly convenient as they can be delivered, filled up over the course of a few days, then shipped by the moving container company later.Others may only hire movers to pack up the moving truck to ensure that everything arrives safely. Some homeowners and renters choose to pack everything themselves and have someone else transport it. Hybrid moving can be a great compromise between DIY and full-service moving.Customers can look for the best cheap moving services to find an affordable full-service company. This makes for a breezy move, but it’s typically the most expensive option. Full-service movers take care of everything from packing items, loading the moving truck, taking apart and reassembling furniture, and moving items into the new home.However, it is both time and labor intensive, as it involves packing, loading, driving, and unpacking without the help of professionals. DIY moving, or borrowing a truck from one of the best moving truck rental companies, is the cheapest way to move long-distance.There are many options to choose from when it comes to moving belongings, so it’s important to consider the pros and cons of each carefully. It can also be helpful for someone to search for moving cost calculators online, which can provide a general idea of what the costs will be. A moving budget will need to include everything from a new home to cross-country movers and storage space for belongings in the meantime. While it may not be the most exciting item on the checklist of things to do when moving, creating a budget will help folks keep costs manageable and may even guide some of the decision-making process. ![]() How much does it cost to move across the country? That will ultimately depend, but moving costs can quickly reach a few thousand dollars (not including the new home). The cheapest way to move cross-country is for a homeowner or renter to budget in order to know what to expect before the invoices pile up. Photo: STEP 3: Budget for the move-including a new home, movers, and storage. Websites and apps such as Nextdoor and NeighborhoodScout are useful, but even using the street-view function on Google Maps can provide new residents with a general sense of what an area is like. This can help provide them with a sense of whether neighborhoods are walkable, if there is access to public transportation, what grocery stores and other necessities are nearby, and for those with children, what the schools in the area are like. They can start by looking up “best neighborhoods in ” or checking out city guides online. If it isn’t possible to visit the new area in person, there are plenty of ways for potential new residents to gather information remotely. These conversations can happen at local restaurants, libraries, grocery stores, or parks. While visiting, they’ll also want to speak to locals to hear what they enjoy about the area and what challenges they face. This will provide them with a better idea of the housing market, what neighborhoods would be a good fit, and how difficult it will be to acclimate to a different climate. Before physically moving cross-country (or even researching how to move cross-country), it’s helpful for people to spend time in the new location to get a feel for what life there will be like. Long-distance moves are a significant life change that requires a lot of preparation and planning. ![]() STEP 1: Visit your new potential home and spend some time there.
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