razyankhan
5+ Views

How Mathematical Curves Enable Advanced Communication

A simple geometric idea has been used to power advances in information theory, cryptography and even blockchain technology.

Given a collection of points in space, can you find a certain type of curve that passes through all of them? This question — a version of what’s called the interpolation problem — has interested mathematicians since antiquity. 

But while the work has generated a lot of excitement among pure mathematicians, interpolation has practical consequences that extend far beyond the realm of geometry. Interpolation is central to storing and communicating electronic data, constructing cryptographic schemes, and more. It’s why you can scratch a CD and still hear music, or get a QR code dirty and still scan it. It’s why space missions like the Voyager program could send clear digital images back to Earth. It’s why a cluster of computers can perform a complex computation even if one of those computers malfunctions.

These applications all rely on a strikingly beautiful and conceptually straightforward use of interpolation: so-called Reed-Solomon codes, and the codes that build on them.
razyankhan
1 Like
0 Shares
Comment
Suggested
Recent
Cards you may also be interested in
CupLeads is The Best Solution For Affiliate Marketing
Start making money by making super high-converting Landing pages , sale funnels or sell your products automatically Right now With just a few clicks, you can start your own business and start making money. BUY NOW>> Quickly and easily create and publish landing pages and sales funnels, or automatically sell your own products with the best online builder. Are you ready for our online builder and a lot of unique templates and awesome blocks? Choose Your Plan Ultimate Premium Build Unlimited high-converting landing pages and sale funnels. Access to a large number of attractive templates and awsome blocks in the best-selling categories (new templates every week) Unlimited number of leads and orders (The possibility of receiving information from forms filled by visitors and customers). Sell Unlimited products directly and automatically (recieve cash to your bank account). Accurate monitoring of all your business processes with real-time charts. Providing Unlimited hosting and subdomains. Use your own domain or customize subdomain. Everything is Unlimited. Would you like to create super high-conversion landing pages or sales funnels in less than 5 to 10 minutes? We give you the tools to create your own landing pages and sales funnels in 5–10 minutes. Access several amazing templates and awsome blocks (updated weekly) in different categories and use the most advanced monitoring tools, monitor your business processes in real time and accurately. In addition, Cupleads makes you able to sell products directly and automatically via PayPal and Stripe and manage all orders automatically and pre-planned in just a few clicks. Don’t waste your time and join thousands of happy customers. Just choose the plan you need and enjoy our service. Hello every one, As you know , modern world and the Internet have made it possible for everyone to make their own complete income, regardless of their age or level of experience and just by using internet and PC, tablet or even smart phone, you can easily earn high income and even after a while , you can get out of your daily job and become own boss and start enjoying your life. Also improve the quality of life for your loved ones And among these online enterprises, affiliate marketing is one of the best, fastest and easiest way, It makes us able to offer services without the need for significant financial outlay (product manufacturing and production costs, storage and shipping costs, etc.) Without a doubt, we may simply earn a lot of money by spending just a little of time and doing simple works. You don’t have to worry about the material’s manufacture or provide a warranty. Affiliate marketing is promoting other people’s products and earning great income from sales commissions (which is usually 50% of the product price) requires to find a product and sharing products and offering them to those who need or are interested in them, and whenever a customer buys the product through your affiliate link,you’ll instantly earn money, but you can’t post affiliate links directly on social media or Google Ads, etc . You have to use a landing page. So you need a tool to creating landing pages and sales funnels. The Cupleads software allows you to use one of the best and most up-to-date page builders and a large number of wonderful templates and awosome blocks that are suitable for affiliate marketing and in the most popular and best-selling product categories, in less than 5 to 10 minutes, super high converting landing pages and sales funnels Create with just a few clicks. Also, the cupleads team is always trying to optimize and update the templates and other features to make it as easy as possible for customers. Also, by using our accurate monitoring tools, you can monitor all your business processes in real time and find your right strategy and review your performance. Please do not compare cupleads and its price with samples of low quality and unsupported products. The creation of this software took a lot of money, time and work, as well as providing continuous 24/7 and high-quality services, it requires constant costs, and we also have to spend continuously to improve the quality of services, but still our price is 60% less than others (not those who sell low-quality and life-time products) from our customers. Here you can see example of the income of some of our customers who have reached high incomes in affiliate marketing by using the Cupleads platform, building super high converting landing pages and sale funnels. Buy now>>>>> https://cupleadssoftware.brizy.site/
JASA EKSPEDISI SURABAYA KE ENDE
Ekspedisi Surabaya Ke Ende Ekspedisi Surabaya Ke Ende, Jasa Pengiriman Surabaya Ekspedisi, Kirim Motor Surabaya Ke Ekspedisi, Jasa Pindahan Surabaya Ekspedisi, Pengiriman Container SUrabaya Ende. Jasa Pengiriman barang Ekspedisi Murah Surabaya terbaik di Seluruh Indonesia dengan segudang layanan yang mampu memberikan solusi bagi pengiriman anda saat ini !!! JASA EKSPEDISI / CARGO Layanan Jasa pengiriman Barang - Jenis Layanan kami sangat berbeda dengan Jasa Pengiriman barang Ekspedisi Lain. Apa yang membuat berbeda adalah Spesialisasi Area Pengiriman Barang. Layanan cargo ekspedisi murah surabaya kami lebih cepat dalam hal pengiriman barang dan estimasi hari akurat. Dan armada yang kami gunakan lebih dari 300 Unit truk 5 Kontainer dan 5 Pick Up Terbuka dan 3 Mobil Box Untuk Armada Transportasi dan Pengambilan Barang Memberikan pelayanan pengiriman barang dan juga kendaraan bermotor hingga ke seluruh wilayah di Indonesia - Jasa Kirim Motor - Jasa Kirim Mobil - Jasa Pindahan - Pengiriman Container 20 feet - Pengiriman Container 40 feet - Cargo Udara Termurah Untuk anda yang ingin mengirimkan barang dari Surabaya ke Ende melalui kapal laut dan juga via udara bisa menghubungi customer service kami. Hp. 0812-1700-3001 Link Terkait Konten Pengiriman Surabaya Ke Ende cargo udara jakarta kupang cargo jogja kupang cargo jogja labuan bajo cargo jogja larantuka cargo jogja lewoleba cargo jogja lombok cargo jogja maumere cargo jogja medan cargo jogja oelamasi cargo jogja palembang Ekspedisi Surabaya Ende
Jasa Pengiriman Barang Ke Kupang
Ekspedisi Surabaya Ke Kupang Ekspedisi Surabaya Ke Kupang, Jasa Pengiriman Surabaya Kupang, Kirim Motor Surabaya Ke Kupang, Jasa Pindahan Surabaya Kupang, Pengiriman Container SUrabaya Kupang. Jasa Pengiriman barang Ekspedisi Murah Surabaya terbaik di Seluruh Indonesia dengan segudang layanan yang mampu memberikan solusi bagi pengiriman anda saat ini !!! JASA EKSPEDISI / CARGO Layanan Jasa pengiriman Barang - Jenis Layanan kami sangat berbeda dengan Jasa Pengiriman barang Ekspedisi Lain. Apa yang membuat berbeda adalah Spesialisasi Area Pengiriman Barang. Layanan cargo ekspedisi murah surabaya kami lebih cepat dalam hal pengiriman barang dan estimasi hari akurat. Dan armada yang kami gunakan lebih dari 300 Unit truk 5 Kontainer dan 5 Pick Up Terbuka dan 3 Mobil Box Untuk Armada Transportasi dan Pengambilan Barang Memberikan pelayanan pengiriman barang dan juga kendaraan bermotor hingga ke seluruh wilayah di Indonesia - Jasa Kirim Motor - Jasa Kirim Mobil - Jasa Pindahan - Pengiriman Container 20 feet - Pengiriman Container 40 feet - Cargo Udara Termurah Untuk anda yang ingin mengirimkan barang dari Surabaya ke Kupang melalui kapal laut dan juga via udara bisa menghubungi customer service kami. Hp. 0812-1700-3001 Link Terkait Konten Pengiriman Surabaya Ke Kupang cargo udara jakarta kupang cargo jogja kupang cargo jogja labuan bajo cargo jogja larantuka cargo jogja lewoleba cargo jogja lombok cargo jogja maumere cargo jogja medan cargo jogja oelamasi cargo jogja palembang
Know Why OneCart App is More Popular & Used Grocery Shopping App in South Africa?
Though not an old concept, after the pandemic, on-demand grocery delivery app development has witnessed its popularity growing manifold in all continents across the globe. Especially in places like South Africa; after the inception of OneCart made same-day grocery delivery services easily accessible, the prominence of the industry grew manifold. This is particularly among entrepreneurs who wish to drive a successful customer base in the region through an app that makes grocery deliveries easy and convenient. Are you among one of them? The article is for you then. Here’s introducing you to the solution in the lines below. About OneCart Founded in 2016, OneCart has earned a reputation as a leading grocery delivery platform in South Africa that allows customers living there to easily shop for groceries, pharmacies, and other necessary items. This is courtesy of the easy operations it possesses. All that customers need to do is enter the app, and select the items they want and place an order thereafter. Once they have completed this, they need to simply place an order. So in short through the seamless connection between the customer and the store, the app makes deliveries a cakewalk. This has majorly been also responsible for the solution attracting the attention of those planning to build a solution along the lines of this aforementioned one. This is to mainly ensure that the following benefits are easy-to-accomplish. If you want to develop a fully customized OneCart Clone App then read this post: https://www.groceryappclone.com/blog/guide-on-onecart-like-grocery-app-development/ Benefits of OneCart When you are entering the journey of grocery delivery app development by developing a solution on the lines of OneCart, it ensures the following advantages become easy to accomplish. * Promises quick grocery store visibility. * Allows consumers to obtain their items at the convenience of their own location. * Gives flexibility to users to make seamless payments by presenting them with different payment options. With an idea that you have gauged the benefits of OneCart, let us understand why consumers living in South Africa prefer doing their grocery purchases from it? Reasons for South African Consumers Preferring OneCart There are many reasons owing to which South African consumers rely upon OneCart for grocery deliveries. Here are some of the factors listed below. 1. Fulfills shopping needs making them convenient and cost-effective. 2. Provides one-day grocery delivery services to consumers. 3. Offers an arena to the retailers to display their offerings, the items they have, new discounts, etc. So all in all, the concept of OneCart app development particularly in South Africa has extremely lucrative prospects. Read this comprehensive guide to get an idea of why the app is the most in-demand grocery shopping app in South Africa.
Online Homework Help for Students
Are you struggling with your schoolwork? Do you have questions about assignments or tests? We can help! Online tutoring services offer students an opportunity to receive personalized assistance in completing assignments. Whether you need help with math, science, English, history, or any other subject, we can provide you with the tools you need to succeed. Our online homework help service will provide you with the answers you need. Tutors at our site are available 24/7 to assist you with your academic needs. You can submit your assignment via email, chat, or phone call. If you prefer, you can also use our website to access your tutor directly. Submit your assignment. Our tutors will review your assignment and provide feedback within 24 hours. They will then assign a grade based on your submission. Receive an answer within 24 hours. If you need assistance with homework, we offer online homework help. You can submit your assignment via our website and receive a response within 24 hours. You can also chat with our experts via live video call. Our tutors will work with you one-on-one to ensure that you understand the concepts behind each question. They will provide feedback and answer any questions you might have along the way. Our online homework help service provides students with access to expert tutors who will provide them with personalized assistance. You can use our online homework help service to receive one-on-one support from an expert tutor. This means that you won’t need to wait until class to ask questions about your homework. Instead, you can submit your assignment at any time and we will assign you a tutor who will work with you to complete your assignment.
Clickbank Marketing Secrets: How to make a FRONT END Sales Video that CONVERSES!
Are You Ready To Learn How To Get Unlimited Sales On ClickBank Everyday? ​ ClickBank is one of the granddaddies of digital product affiliate marketing. Throughout the years, ClickBank has spawned a large number of competitors, but nothing can beat the original. If you are looking for an affiliate program that offers digital products across a very wide range of niches, you can’t go wrong with ClickBank! Dear Friend, If you want to succeed with affiliate marketing, you must first build your business. You have to build it on the right niche. A niche, of course, relates to the category of topics or problems that the products you are promoting solve. That’s what a niche is. Unfortunately, failed marketers choose niches the wrong way. First, they go for niches based on a hunch. They have a “gut feel” that a niche is “hot” or “awesome.” This is a serious problem because even if you think something is great, it doesn’t necessarily mean that your target audience members will share your impression. Failed marketers also choose niches based on popularity. Too many ClickBank affiliates select solely based on gravity. You can’t just go based on popularity. You have to look at the big picture. Here’s where my advice for you comes in. You are going to understand the importance of digital product affiliate marketing. You will learn how to market products the right way. You will understand how successful ClickBank marketers play the game. You can begin to understand that you’re going to have to use high quality content to deliver value to the lives of people you are trying to market to. You are going to learn how winning ClickBank marketers choose niches. To make it easy, I’ve put together a step-by-step guide that will show you exactly how it’s done… CLICK HERE TO GET INSTANT ACCESS No stones are left unturned when you get your hands on this now. You will become a complete expert on this, and you’ll get everything you need inside to do the same… Here’s Just A Quick Preview Of What You’ll Discover Inside… Your ClickBank Success Depends on the Niche You Choose How Do 3-Layer Conversion Systems Work for ClickBank Marketing? ClickBank Marketing Overview How to Select a Niche Product to Promote — THE SMART WAY How to Get Your Niche Target Keywords Quora Answer Marketing Comment on Blog posts that Use Facebook Comments Forum Marketing Automated Twitter Marketing Automated Facebook marketing Plus, a whole lot more… This is the easiest way to actually make a tremendous amount of money using ClickBank! Who Needs This Step-By-Step Guide? If you answer YES to any of the below, you need this… CLICK HERE TO GET INSTANT ACCESS When You Make The Wise Decision To Grab This Today You’ll Also Get These… Fast Action Bonuses Fast Action Bonus #1 ClickBank Marketing Secrets — Cheat Sheet This cheat sheet is a handy checklist that makes it easy to get started. It breaks up the entire guide into easy-to-follow steps so that you can make sure you have all the highlights of everything covered inside right at your fingertips. Valued at $27 Fast Action Bonus #2 ClickBank Marketing Secrets — Mind Ma Some people learn better by looking at a mind map. The mind map gives you an overview of everything covered inside the guide. You can also print it out for quick reference anytime you need it! Valued at $17 Fast Action Bonus #3 ClickBank Marketing Secrets — Resource Guide The Resource Guide gives you a quick point of reference to all of the resources mentioned throughout the guide. This makes it easy to plug-in and stick with what you’re looking for. Valued at $17 Try This Guide On MY DIME… There’s No Risk! There are a lot of people that claim to offer a solution on how to live a better life, so it’s understandable if you’re a little skeptical. I can keep telling you just how great my guide is, but you really need to go through it and see for yourself what it’s all about to know if it’s for you… That’s why I’m going to give you a FULL 30 days to decide if this is for you… If for any reason, or no reason at all, you’re not 100% satisfied with what’s inside, simply send me an email, and I’ll refund every penny of your tiny investment… No questions asked! Click The Button Below Now To Get INSTANT ACCESS… CLICK HERE TO GET INSTANT ACCESS