The Fibonacci sequence is named after Leonardo Fibonacci, a famous Italian mathematician. Such a type of sequence is called the Fibonacci sequence. Using the above formula, we can determine any number of any given geometric sequence.īy adding the value of the two terms before the required term, we will get the next term. Here, we are multiplying it by 4 every time to get the next term. Using the above formula, we can successfully determine any number of any given arithmetic sequence.Ī sequence in which every successive term has a constant ratio between them is called Geometric Sequence.Ĭonstant ratio means that between every two numbers of the geometric sequence, there is an arbitrary constant, which is multiplied by the last number of the sequence to obtain the next number. In an arithmetic sequence, if the first term is a 1 and the common difference is d, then the nth term of the sequence is given by: The difference between the two successive terms is In the above example, we can see that a 1 =3 and a 2 = 6. When we have to get the next number of this sequence, we simply add 3 to the last number of this sequence. Here, the difference between the two successive terms is 3. And if we need to generate the next number, we simply add this arbitrary constant value again to the last number of the sequence and get a new number to extend the sequence. This means that as we go further up in the sequence, the numbers keep increasing by an arbitrary constant value. There are mainly three types of sequences:Īny sequence in which the difference between every successive term is constant is called Arithmetic Sequences. Let us study the sequence and series formula. All of these calculations are similar to studying numeric patterns and extending them or summing them up to visualise a future score, which is some steps further in the extension of the sequence that was observed from past scores. One simple example is score prediction, required run rate, projected score, etc. Sequences and series are immensely useful when trying to do predictive or projective calculations. We have to just put the values in the formula for the series. Suppose we have to find the sum of the arithmetic series 1,2,3,4. Series and sequence are the concepts that are often confused. Whereas, series is defined as the sum of sequences, which means that if we add up the numbers of the sequence, then we get a series.Įxample: 1+2+3+4+.+n, where n is the nth term. x n, where 1,2,3 are the positions of the numbers and n is the nth term. We can commonly represent sequences as x 1, x 2 ,x 3. This mathematical representation of such patterns is studied under sequence and series.Īny pattern when laid out in numbers and separated by commas is known as a sequence. All of these can be determined and represented mathematically. Graphs, geometry, mandalas, snail shells, flower petals, and so on. Think of patterns that you see around you in daily life. We will familiarize you with these by giving you five mini-projects and some related problems associated with the concepts afterwards.We can define a sequence as an arrangement of numbers in some definite order according to some rule. There are many applications for sciences, business, personal finance, and even for health, but most people are unaware of these. This chapter is for those who want to see applications of arithmetic and geometric progressions to real life. Hence, these consecutive amounts of Carbon 14 are the terms of a decreasing geometric progression with common ratio of ½. Have you ever thought of how archeologists in the movies, such as Indiana Jones, can predict the age of different artifacts? Do not you know that the age of artifacts in real life can be established by the amount of the radioactive isotope of Carbon 14 in the artifact? Carbon 14 has a very long half-lifetime which means that each half-lifetime of 5730 years or so, the amount of the isotope is reduced by half. As a result, the total number of grains per 64 cells of the chessboard would be so huge that the king would have to plant it everywhere on the entire surface of the Earth including the space of the oceans, mountains, and deserts and even then would not have enough! The king was amazed by the “modest” request from the inventor who asked to give him for the first cell of the chessboard 1 grain of wheat, for the second-2 grains, for the third-4 grains, for the fourth-twice as much as in the previous cell, etc. According to the legend, an Indian king summoned the inventor and suggested that he choose the award for the creation of an interesting and wise game. One of the most famous legends about series concerns the invention of chess. Over the millenia, legends have developed around mathematical problems involving series and sequences.
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There are many different image file formats, and they all have their advantages and disadvantages. Save a Screenshot in Different File Format Enter the new image dimensions and click OK.Open the Tools menu and select the Adjust Size option.Double-click on any screenshot to open it in the Preview app.Smart Move: Rearrange parts of your screenshots and remove distracting or privacy-compromising elements without third-party image editing software.Īs you can see, Snagit offers many great features, and you can test how they work without spending a single dollar by downloading the free trial version from its website.Annotation: Add a variety of professional visual elements to your screenshots, such as callouts, numbers, arrows, and more.Grab Text: Automatically extract text from captured macOS and Mac OS X screenshots so that you can edit it using your favorite text editor. Screen Recorder: Record your screen and export the recording as an MP4 file or animated GIF.All-in-One Capture: Provides convenient access to all screenshotting options, allowing you to capture your entire desktop, a region, a window, or a scrolling screen.Here are just a few features that make Snagit an excellent choice for all serious screenshotters: Why? Because applications like Snagit go well beyond what the Screenshot tool in macOS can do, offering a wealth of features to help you capture your screen, add additional context, and share your screenshots with others. How often do you take screen captures on your Mac or MacBook? More than once a day? If that’s the case, then you should consider professional screen capture software. If the Screenshot tool doesn’t meet your needs, then there are many free alternatives for you to explore. Screenshot will close when you take a screenshot, but you can also close it manually using the Esc key on your keyboard.By default, Screenshot captures a single window, but you can also tell it to screenshot a specific area on your Mac, capture the entire screen, and more.You can also bring up Launchpad by clicking its icon in the Dock and then launch Screenshot from the Utilities folder. To launch the Screenshot tool, press and hold Shift + Command + 5.In this part, we’re describing the most popular screenshotting methods to give you plenty of options to choose from, from straightforward key combinations to sophisticated screenshot software that goes well beyond basic screen capture on a MacBook, Mac, or iMac. There’s more than one way to bake a cake, and there’s more than one way to take a snapshot on a Mac. The Best Ways to Take a Snapshot on a Mac How do you take a screenshot on a Mac and paste it into an email?.How do you take a long screenshot on a MacBook Air M1?.Why can’t I take a screenshot on my Mac?.How to Take High-Resolution Screenshots on Mac?.Is It Possible to Take Video Screenshots on a Mac?.Save a Screenshot in Different File Format.How to Change Where Screenshots Are Saved on a Mac?.
You can take guided tours of the caves and of the settlements in the park as well. If you’re looking for sprawling mountain views full of exciting fall colors, then the Cumberland Gap National Park is the place for you! Camping, backpacking, and hiking are popular activities. Don’t be surprised if you are sharing the trail with rock climbers! If you plan on staying the night in the area, you may want to consider staying in Tennessee as the closest restaurants and accommodations are there. Dogs are welcome as long as they are on a leash. This hike is ranked as moderate and includes climbing several wooden staircases. By parking here you can take a short walk to see the Blue Heron Gorge Overlook before heading to the Cracks In The Rocks. If you take this option, consider parking at the Overlook Parking Area. Or if you are looking for more adventure, you can extend your trip by taking the 6.4-mile Blue Heron Loop Trail. If you aren’t much of a hiker, you can see the Cracks in The Rock via a less than a mile hike from the Blue Heron Mining Community parking lot. It’s located in the Big South Fork National River and Recreation Area and is one of the best places to be in nature during fall in Kentucky! If you are looking for hiking trails in Kentucky that will showcase the beauty of fall, look no further! Just fifteen minutes from Tennessee is the Crack in The Rocks Trail. This is one of the best views to see vibrant leaves during fall in Kentucky! The Cracks in The Rocks The views are particularly stunning when waves of fog have filled the gaps between the mountains. Climb the stairs to the top to be rewarded with amazing views of the mountains. An easy 1.2-mile out and back trail will take you to the lookout tower. While visiting Cumberland Falls, make sure to visit the Pinnacle Knob Lookout. From the beach, turn left into the large boulders and you will have access to a secret view of the falls! You can see the Cumberland River in front of you and a wall of rock formations and fall colors beyond the water. There’s also a sandy beach at the falls that is lovely to sit at during the fall season. The Cumberland Falls Campground will give you a great starting point for a day spent exploring Cumberland Falls! There is a gem mine, trails, a large observation deck, a resort, and camping options available. This waterfall is epic and is a must-see while visiting Kentucky in the fall. The most iconic and one of the most beautiful waterfalls in Kentucky is Cumberland Falls near Corbin, Kentucky. 14 Best Places For Fall In Kentucky Cumberland Falls If you want more specific places for leaf peeping in Kentucky, keep reading! There are many parks, waterfalls, hiking trails, and towns to explore in the fall. The color quickly spreads west through Kentucky until the whole state is awash in fiery foliage by the beginning of November. The trees in the eastern part of the state begin to change first around the end of September and usually reach peak colors near mid-October. There is awesome fall foliage all over Kentucky if you know where you look. Where is the best fall foliage in Kentucky? You will have an amazing time driving scenic mountain roads, hiking to waterfalls, and visiting pumpkin patches. The nature mixed with small towns and farms makes Kentucky an absolute dream in autumn. Almost half of Kentucky is forested with about 175 tree species so it is a great place to view changing leaves. Kentucky might not be your first thought for a fall foliage trip, but this southern state is gorgeous in the fall! With mountains and lush forests, there are plenty of fall colors in Kentucky to amaze you. Which of these beautiful places to experience fall in Kentucky will you visit first? Is Kentucky Pretty In The Fall? One thing that you don’t hear enough about Kentucky is how beautiful it is in the fall! Fall in Kentucky is beautiful no matter if you’re a traveler who prefers to get out into nature or someone who prefers to stay in the city. Kentucky is known for a lot of things: horse racing, bourbon, bluegrass music, fried chicken, and much more. Visiting in late October is the best time to see fall colors in Kentucky! The fall season offers a stunning show of vibrant foliage that peaks between mid-October and early November depending on what part of the state you visit. While Kentucky sees the highest number of visitors in June, visiting in the fall is highly recommended! Are you ready to experience fall in Kentucky? From cute, little towns surrounded by fall foliage to hiking trails and waterfalls, there are tons of places in the Bluegrass State to explore the beauty of fall. These services can be convenient for customers who want to make purchases but don’t have the funds available to pay for them upfront. Customers can use these services to buy items online or in-store, and pay for them in installments over a set period of time. Many companies offer this service, including Laybuy, Klarna, Afterpay, and Zip. “Buy now, pay later” is a payment option that allows customers to purchase items and pay for them over time rather than all at once. So next time you indulge in retail therapy, don’t forget to explore the buy now pay later option for a seamless shopping experience. As consumers continue to seek more accessible ways of shopping, buy now pay later is expected to thrive and shape the future of retail. With its increasing popularity, this payment option has become a crucial factor in both online and in-store purchases. The concept of buy now pay later has revolutionized the way we shop by providing financial flexibility, convenience, and enhanced budgeting. Customers feel empowered knowing that they can acquire desired items without immediate cash transactions. The ability to buy now and pay later enhances the overall shopping experience. This helps in avoiding financial burdens and provides a clearer picture of expenses. Improved Budgetingīuy now pay later allows individuals to plan their budget effectively by breaking down payments into manageable installments. They can seize the opportunity to buy desired products or services immediately, instead of waiting for months or years. With buy now pay later, consumers can avoid the hassle of saving up for a specific purchase. This enables them to obtain desired items or services when they need them the most. Let’s delve into some of the key benefits: Financial Flexibilityīy opting for buy now pay later, customers can enjoy the flexibility of making purchases without putting a strain on their immediate finances. Using the buy now pay later option offers numerous advantages for shoppers. This payment method has gained immense popularity in recent years, providing shoppers with greater flexibility and financial convenience. Instead, they can spread the cost over a period of time, typically with interest or fees. What is Buy Now Pay Later?īuy now pay later is a payment option that allows consumers to make a purchase without immediately paying the full amount. With the introduction of the “buy now pay later” option, the shopping experience has become even more accessible and convenient. At LutherSales your satisfaction is our top priority.īoost Your Buying Power at LutherSales - Your Buy Now Pay Later Furniture, Computer, Electronics and Appliance Store! Credit Financing with Many Options for All.Shopping has always been a popular activity among individuals seeking to satisfy their desires and needs. We also offer free nationwide white glove delivery service and world class customer service. This entitles you to free service on your buy now pay later furniture financing purchase for the life of your payment plan in accordance with the manufacturer's warranty. As a LutherCharge Membership Card holder you get the added protection of our extended furniture warranty. Call to speak with a special Buy Now Pay Later service representative for more details. IF you fall below the minimum qualifications, and need credit financing, we most likely have a credit options plan for you, or we may approve your credit purchase with a small down payment. You can also see the terms and conditions of sale in the application. It is our goal to find ways for you to purchase and pay for products you need and want. Just submit an Application, and we will quickly reply. For example, for a 335 purchase, you’d make four 85.25 payments every two weeks starting today for a 31.11 annual percentage rate and a total of payments of 341. Certain merchant, product, goods, and service restrictions apply. How Do I Qualify? You Qualify with your Job! Applying is a simple One-Step Process. Millions of shoppers globally and counting. No more writing checks or forgetting to mail the payment, we're here to make buy now pay later furniture financing easy. Your payments are a fixed amount with a defined finish line. LutherSales promotes responsible purchasing through easy automated payment options. Boost your purchasing power at LutherSales - your online Buy Now Pay Later store. No credit card necessary, and no setup fees. Buy brand name quality products, and experience premium customer service. Qualify for easy financing, and budgeted low payments you can afford, based upon your work history, not your credit score. Select from Furniture, Appliances, Computers, TVs, Jewelry, Electronics, and more. Buy Now Pay Later Furniture Financing plus Computers, TVs, Electronics, Appliances and More. With its extensive range of features, user-friendly interface, and convenience, it's no wonder why this app is loved by millions of users worldwide. In conclusion, Adobe Photoshop Mix is a game-changing app that brings the power of professional photo editing to your fingertips. Whether you're using an iPhone, iPad, or Samsung Galaxy, Adobe Photoshop Mix will deliver exceptional performance and results. This makes it a perfect tool for social media enthusiasts, bloggers, or anyone who wants to enhance their photos quickly and effortlessly.įurthermore, this app is compatible with both iOS and Android devices, ensuring that users from all platforms can enjoy its benefits. With Adobe Photoshop Mix, you can edit photos on the go, without the need for a computer or expensive editing software. You don't need any prior knowledge of photo editing to navigate through its features and create stunning visuals. Whether you're a professional photographer or a beginner, this app is designed to be user-friendly and intuitive. One of the greatest advantages of Adobe Photoshop Mix is its accessibility. And the best part? You can achieve all of this right from your phone! Convenience and User-Friendly Interface From adjusting brightness and contrast to applying filters and effects, you have full control over the look and feel of your images. The possibilities are endless!Īdobe Photoshop Mix also offers a range of editing tools to enhance the overall quality of your photos. You can overlay photos, adjust their opacity, and blend them together to create stunning double exposures or unique visual effects. This feature is perfect for graphic designers, tattoo enthusiasts, or anyone who wants to experiment with photo manipulation.Īdditionally, this app provides a variety of tools for combining multiple images. With just a few taps, you can easily remove unwanted backgrounds or isolate specific objects, allowing you to create seamless compositions. One of the standout features of Adobe Photoshop Mix is its ability to cut out elements from photos with precision. Whether you want to remove backgrounds, layer photos, or add special effects, this app has got you covered. Unleash Your Creativity with Powerful Editing FeaturesĪdobe Photoshop Mix offers a plethora of editing features that will transform your ordinary photos into extraordinary works of art. Introducing Adobe Photoshop Mix - Cut-out, Combine, CreateĪre you looking for a powerful and versatile photo editing app that allows you to cut out, combine, and create stunning visuals? Look no further than Adobe Photoshop Mix! This app is a game-changer when it comes to mobile photo editing, offering a wide range of features and tools that will take your creativity to the next level. However, Jiffy Lube does have some less than ideal impressions left on its customers over the years.Īlternatively, Valvoline is known for its slightly higher prices and instant oil change which has given them a fantastic rating amongst the public over the years. They have extremely fast service at over 2000 worldwide locations. The first and most noticeable difference is the pricing of each company. Jiffy Lube is marketed to be a budget-friendly service that saves you money and time. But to get a better understanding of each company let’s look at the main differences between the two. Jiffy Lube vs Valvolineįrom the outside, Jiffy Lube and Valvoline may seem like very similar companies as they both offer the same maintenance services to similar targeted customers. Making the choice between Jiffy Lube vs Valvoline will be so much easier with our clear guide based on reputation, cost, and the variety of services you can expect from these companies.Īlthough both companies may seem pretty much the same at first glance we believe that Valvoline comes out on top when it comes to oil changes and other maintenance tasks as they consistently provide higher quality customer service and products than Jiffy Lube. If you don’t want to attempt changing your engine oil yourself then you may have heard of the companies Jiffy Lube and Valvoline, both of which offer these automotive services. We all know that maintaining a well-functioning vehicle is the key to keeping your vehicle in a safe driving condition for as long as possible. Regular oil changes are a vital part of this maintenance.
Take years off your appearance with this fabulous contour wand, perfect for dark-skinned ladies. Ideal if you want to create a buildable, natural contour ĭarlings, this wand is so easy it goes on like a lens! My Hollywood Contour Wand in Dark is the perfect lightweight, buildable, blendable formula to create a well-contoured face.Siloxanes create lightweight & dry feel upon application for easy blending.Treated pigments with good adherence & colour uniformity create shadows & define features for a natural finish.Easy, brand-new-to-market cushion applicator to dispense product evenly, with blendable formula.Get gorgeous sculpted mega-watt cheekbones instantly Charlotte Tilbury Hollywood Contour Wand Bloomingdales Beauty & Cosmetics Charlotte Tilbury Hollywood Contour Wand Write a review 42.WHAT MAKES MY HOLLYWOOD CONTOUR WAND MAGIC: Take years off your appearance with this fabulous contour wand, perfect for light-skinned ladies. It’s also been designed so that you can wear it full impact or soft and blotted, depending on your vibe.Darlings, carve out killer cheekbones instantly! My Hollywood Contour Wand in Light is the perfect lightweight, blendable, buildable formula to create a well-contoured face. A soft matte liquid lipstick with a twist, Lip Blur has been formulated with hyaluronic acid to give a smooth, plumped effect to the lips. Hot off the press is Charlotte Tilbury’s newest lip product, Lip Blur. THE HOLLYWOOD CONTOUR DUO MAGICAL SAVINGS AIRBRUSH FLAWLESS SETTING SPRAY ORIGINAL 100 ML. Dupe for Charlotte Tilbury Lip Blur: NYX Soft Matte Lip Cream, £7 e.l.f’s Rosé You Slay, £9, e.l.f, is probably the closest to CT’s Pinkgasm, although you could mix it with ‘Candlelit’ for an even better match. The shades are similar but not exact, though I think the formulation and finish makes this a fantastic dupe. The formula and finish of the two are also incredibly similar e.l.f has managed to capture that shimmering highlight and blusher combo which blends blissfully into the skin with a buildable colour. No prizes for noticing the immediate similarities in the name, however the comparisons go further still: the e.l.f blush wands feature a sponge tip applicator, as does CT’s. It’s £79 however, making it a real investment buy that you may only be able to make once or twice a year, if at all. My mum is perhaps the bestseller’s number one fan, and the fact the makeup artist used to use this on models backstage to prime their skin speaks volumes about its efficacy and finish. Dupe for Charlotte Tilbury Magic Cream: Revolution Miracle CreamĬharlotte’s first skincare product is universally adored. The best Nars dupes for Orgasm Blush, Sheer Glow Foundation and moreįrom a £10 Pillow Talk dupe to a £4.99 cream shadow that rivals the brand’s beloved Eyes To Mesmerise pots, I’ve discovered the best of the best.The best Chanel bronzer dupes for an affordable healthy glow.The best Fenty Beauty dupes, from someone who loves the originals.The best Jo Malone dupes on the high street, from candles to perfume.Read more about our best beauty dupe finds… Darlings, carve out killer cheekbones instantly My Hollywood Contour Wand in Light is the perfect lightweight, blendable, buildable formula to create a. Oh, and a few are even in the Amazon Prime Day 2023 sale. And the truth is, there’s plenty out there to get excited about – and all with a more appealing price point. Shop Charlotte Tilbury contouring at Harrods including the Hollywood Beauty Light Wand for perfectly sculpting those cheekbones. So I set myself a mission to find the very best dupe items for those in-between times. The cost of living crisis has got us all in a chokehold, and as much as we’d love to pop out and drop a hundred quid on our fave bits, it’s just not always possible. Case in point, my love letter to its’ Hollywood Flawless Filter, which I can’t be without.īut these days for most of us, Charlotte Tilbury products are reserved more for a special splurge rather than a fortnightly treat. It’s just a great all-rounder, with brilliant bases, dreamy highlighters, a solid mascara, and of course, all things Pillow Talk. In fact, when recently discussing which makeup brand I would use for the rest of my life if I could only pick one, I chose CT. Before I start, I want to make one thing clear: I *love* Charlotte Tilbury makeup. Next stop: checkout Buildable, creamy texture Natural finish Designed to sculpt and contour the face Easy-to-use cushion applicator dispenses product evenly. In this manner, you can easily change your tonal array onstage without a complicated tap dance routine. Once you select among these effects-as well as among five different onboard amp character types and EQ controls-you can store your tone into one of two recallable Tone Settings memories. Using a USB connection, you can port any 15 effects into the amplifier at any one time, with three separate effects available for simultaneous usage. The amp gives you access to 61 BOSS effects via BOSS's Tone Central. Product description Designed to provide you with gig-ready rock tones while minimizing your reliance on a pedalboard, the Katana-50 Combo Amplifier from BOSS delivers 50W into a 1x12" speaker cabinet, making it suitable for use in small venues and practicing at home. Download an official BOSS user manual in which you will find instructions on how to install, use, maintain and service your product.Īnd do not forget – unsuitable use of a BOSS product will considerably shorten its lifespan! Health and property during use, as well as recognition of liability on the part of the manufacturerįor possible defects should you make a warranty claim. User manual is an integral part of any BOSS product,Īnd if it is sold or transferred, they should be handed over jointly with the product.įollowing the instructions for use is an essential prerequisite for protecting That need to be followed during installation and operation.īefore starting your appliance, the user manual should be read through carefully.įollow all the safety instructions and warnings, and be guided by the given recommendations. User manual for the BOSS Katana-50 - 50W 1x12 Combo contain basic instructions
The line:Ĭauses the httpd daemon to read all *.conf files placed in the /etc/httpd/conf.d directory, in addition to to a main configuration file, during start up process. However, the Include directive within a file provides a way for splitting the configuration file into smaller, more manageable sections. This feature makes the configuration file very long and does not allow quick changes to it. etc/httpd/conf/nf file includes instructions for almost all of the configuration options in the form of comments, ie. This configuration assumes that resolves correctly in DNS and that the content for the web site is in the /var/www/html, the default Document Root in Fedora." Reload the configuration file for these changes to take effect: To serve the web content for these two entries are: At the minimum, there are only two directives in this file that need to be specified to enable Apache to serve the content over the Internet, The name to which server responds and the location of the web site content on the system. The main Apache configuration file is /etc/httpd/conf/nf. var/log/httpd:: The location of the Apache log files. var/www/html:: Default location for storing web site content, referred to as DocumentRoot. usr/lib/httpd/modules:: The location of various Apache modules, loaded on demand from the main configuration file. etc/httpd:: The location of Apache configuration files, referred to as Server Root. There are a few characteristic directories that contain files needed for proper operation of the Apache web server: Su -c "systemctl enable rvice" Configuring Apache web server To configure the Apache server to start at the boot time, run: To test the correct operation of the Apache server, point the web browser to If the browser displays Fedora Test Page, the Apache is installed correctly. The Web Server package group can be installed during Fedora installation, using the option to customize software packages." In addition to the httpd package, the command above installs software needed to run Apache with the support for database driven web sites, support for common web scripting languages, such as PHP, perl, and python, Apache documentation provided by httpd-manual rpm package and support for serving secure, encrypted content through HTTPS protocol. Su -c "/usr/bin/yum groupinstall 'Web Server'" Unless the requirement is to run a very basic web site, the more convenient way of installing the Apache web server is: The basic Apache functionality, serving static web sites, is provided by the httpd rpm package. Apache web server Installing Apache Web Server |
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