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      "body": "Congratulations @wenito! You received a personal award!\n\n<table><tr><td>https://steemitimages.com/70x70/http://steemitboard.com/@wenito/birthday2.png</td><td>Happy Birthday! - You are on the Steem blockchain for 2 years!</td></tr></table>\n\n<sub>_You can view [your badges on your Steem Board](https://steemitboard.com/@wenito) and compare to others on the [Steem Ranking](https://steemitboard.com/ranking/index.php?name=wenito)_</sub>\n\n\n**Do not miss the last post from @steemitboard:**\n<table><tr><td><a href=\"https://steemit.com/steemitboard/@steemitboard/use-your-witness-votes-and-get-the-community-badge\"><img src=\"https://steemitimages.com/64x128/https://cdn.steemitimages.com/DQmTugCUsoXX762vg1CuHRrpnPbfnjPogp8iCGv7F2kSVuj/image.png\"></a></td><td><a href=\"https://steemit.com/steemitboard/@steemitboard/use-your-witness-votes-and-get-the-community-badge\">Use your witness votes and get the Community Badge</a></td></tr></table>\n\n###### [Vote for @Steemitboard as a witness](https://v2.steemconnect.com/sign/account-witness-vote?witness=steemitboard&approve=1) to get one more award and increased upvotes!",
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      "body": "Hello @wenito! This is a friendly reminder that you have 3000 Partiko Points unclaimed in your Partiko account!\n\nPartiko is a fast and beautiful mobile app for Steem, and it’s the most popular Steem mobile app out there! Download Partiko using the link below and login using SteemConnect to claim your 3000 Partiko points! You can easily convert them into Steem token!\n\nhttps://partiko.app/referral/partiko\n\n![](https://d1vof77qrk4l5q.cloudfront.net/statics/partiko-poster-best-steem-app-for-your-phone.jpg)",
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      "body": "<html>\n<p>I guess it was like this: After the invention of natural numbers, one day someone (let us say $A$) was collecting apples. When returning home, he met one of his friends, $B$, who was quite hungry and had nothing to eat. $A$ decided to give to his friend three apples, and $B$, full of thankfulness, said that he would give the three apples back &nbsp;to him as soon as possible (by the way, this was also the birth of ASAP). And $B$ told to himself \"<em>I owe my friend $A$ three apples, do not forget it</em>\". The number $-3$ was born.&nbsp;</p>\n<p>The good thing about the existence of negative numbers and 0 is that renders the operation of substracting much more coherent, in the following sense: Think of two natural numbers $a$, $b$. &nbsp;If $a&gt;b$, then we can think of taking $b$ out of $a$, so that we obtain the quantity $a-b$. But we cannot take out $a$ from $b$! This is quite annoying. But negative numbers allow us to say: I take $a$ from $b$ and there is a pending balance of $a-b$ units, which we write as $-(a-b)$. And we all know this is especially useful when talking about money... &nbsp;Hence, with negative numbers (and zero) two natural numbers can <em>always</em> be substracted, and computations work much more smoothly.</p>\n<p>So, we have this new family of numbers comprising the naturals, zero and the negatives of the natural numbers. This collection of numbers is usually called \"<em>integers</em>\" and represented with the letter $\\mathbb Z$. <em>And this apparently innocent looking set is full of mysteries</em>...&nbsp;</p>\n</html>",
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      "body": "We all are familiar with the basic mathematical operations that can be performed with natural numbers. The addition is the most natural one: We have $x$ elements on one hand, $y$ elements on the other, and if put all of them together we get... $x+y$ elements! We all learned at school that this basic operation satisfies a number of properties. Two of them are very important: \n\nAssociative Property: Given three natural numbers $x$, $y$, $z$, then it is always the case that $(x+y)+z=x+(y+z)$. To see what this means, let us suppose we have three hands. On the first hand we have $x$ elements, on the second $y$ elements, and on the third $z$ elements. We can put together the elements on our first and second hands, obtaining $x+y$ elements, and afterwards we add the elements on our third hand to obtain $(x+y)+z$ elements. But we can proceed in a different way: We can put together first the elements on our second and third hands to get $y+z$ elements, and then proceed to join the elements on our first hand with the others to obtain $x+(y+z)$ elements. Associativity tells us that with these different procedures we always get the same result. \n\nCommutative Property: Given two natural numbers $x$ and $y$, then always $x+y=y+x$. This amounts to say that the operation of putting together $x$ elements on my left hand and $y$ elements on my right hand, which gives a total of $x+y$ elements, produces the same result (represented by $y+x$) as putting together $y$ elements on my left hand and $x$ elements on my right hand.\n\nEven though most of us have internalized these properties up to the point that we consider them self-evident, you can dare to ask yourself \"Why are these properties true?\".   You better don't do it... :)",
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      "body": "The natural numbers are 1, 2, 3, 4, ..., up to infinity. They look simple, but they are not. One of the first interesting things about these numbers is that they confront us in a very natural way with the idea of infinity. The list of natural numbers never ends! (although the reader should realize that it does have a beginning).\n\nWell, there is a very important symbol to add to this list: The symbol which represents \"nothing\". Yes, that is 0. Some people include it as a natural number, some others do not. If you pay close attention to the way you write numbers, you realize that all natural numbers are written by using just 10 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.  Why ten symbols? Why not 5 symbols, or 3, or just 2 symbols? I guess the number ten is beloved by us humans because the total number of fingers in our hands is 10. \n\nLet us examine closely how we count, which is a very smart thing. I am going to use temporarily an extra symbol to represent \"a package of ten\", let us say T. Let us assume we count stones. We go like this:\n\n0 stones\n1 One stone\n2 Two stones\n3 Three stones \n4 Four stones\n5 Five stones\n6 Six stones\n7 Seven stones\n8 Eight stones\n9 Nine stones\n1T= One package of ten stones\n\nNow we can continue like this:\n\n1T \n   1 Eleven stones\n\n1T \n   2  Twelve stones\n\n....\n\n9T \n   9 Ninety nine stones, \n\nand what do we do now? Well, we continue with...\n\n1TT One package of ten packages of ten stones!!! (usually called \"One hundred\" to make it simpler... :)\n\nNow we can go on and on and on... But observe that we can replace the T's just for empty spaces and, not only we save some ink, but also we can compress even more the way to write the numbers:\n\n2T\n   3    (twenty three)\n\nturns into \n\n23\n\nThis trick leads to our decimal system of writing numbers. The position of each symbol tells us whether we are thinking of units, packages of ten, packages of packages of ten, etc. This is really nice, because this trick allows us to write BIG numbers with just 10 symbols, and in a very systematic and economic way.",
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      "body": "<html>\n<p>Congratulations <a href=\"/@wenito\" target=\"_blank\">@wenito</a>, you have decided to take the next big step with your first post! The Steem Network Team wishes you a great time among this awesome community.</p>\n<hr>\n<div class=\"pull-left\"><img src=\"https://steemitimages.com/DQmaAdLUJ3yaSkmcmWECWyPGPWcjfbCoZ8Tu4RM6H4DbjCi/steem-network-thumbs-up.gif\" alt=\"Thumbs up for Steem Network´s strategy\" title=\"I suggest Steem Network´s strategy\" width=\"320\" height=\"222\"></div>\n<h1>The proven road to boost your personal success in this amazing Steem Network</h1>\n<p>Do you already know that awesome content will get great profits by following these <a href=\"https://steemit.com/steem-network/@steem-network/spread-your-posts-through-this-proven-strategy-and-get-great-profits-in-return--for-posts-created-at-2018-03-24\" target=\"_blank\" alt=\"Steem Network\" title=\"Follow Steem Network´s suggestions to boost your success\">simple steps</a> that have been worked out by experts?</p>\n</html>",
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