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      "body": "Congratulations @piglet! You received a personal award!\n\n<table><tr><td>https://steemitimages.com/70x70/http://steemitboard.com/@piglet/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/@piglet) and compare to others on the [Steem Ranking](https://steemitboard.com/ranking/index.php?name=piglet)_</sub>\n\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": "This article is a bit misleading. The key thing is how will Cardano *scale* as more and more users use the network. The 200-300 transactions per second is just the beginning.\n\nAlso, the number of transactions per second does not mean anything in a vacuum. It's the \"throughput\" that is meaningful. You need to multiply (tx / sec) by the average transaction size to get the throughput.",
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      "body": "True, there were some gains.  However, look at the market before April.  Nothing going on, then boom.",
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      "body": "“Alright Patrick, here are the keys and I’ll see you in the morning.”\n\nSitting alone in the office in the dead of night and with my feet up on the desk, I dozely stared at the array of video screens. A solitary figure drifted through a corridor.\n\n“Twelve hours and two patrols,” I thought to myself and let out a sigh of boredom.\n\nPreparations included clipping the large ring of keys to my belt and throwing the leather watchclock strap over my right shoulder before setting out into the quiet, dim maze.\n\nI quickly checked the adjacent conference room before descending into the eerie, meandering bowels of the building. I was hunting for keys chained to concrete walls. The turning of a key in the watchclock gave off a satisfying punching noise but anxiety hurried me to exit the dismal lower floors. Only a short excursion through the outdoor pool area and around the building offered any respite.\n\nLocking the door to the buzzing transformer room, I began the zig-zagging climb through the twelve residential floors while noting down the lights that were either flickering or burnt out. On the last floor, I sometimes stood in the large maintenance room and watched some news on a dusty old TV that looked like it was from the 80s.\n\nAscending a few more – rather steep – steps brought my face inches from a heavy, latched metal door that lead to the roof. I trekked across the starry night to get to the lonely elevator machine room where the final key awaited me.\n\nPerched on the roof, I lit up a healthy smoke and started my daily dose of wonderment.\n\nThe cosmos turned ever so gently and quiet cricket noises filled the warm summer air.\n\n*Releases a puff of smoke*\n\n“My dear friends, we have only begun to scratch the surface.”",
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      "body": "“Alright Piglet, here are the keys and I’ll see you in the morning.”\n\nSitting alone in the office in the dead of night and with my feet up on the desk, I dozely stared at the array of video screens. A solitary figure drifted through a corridor.\n\n“Twelve hours and two patrols,” I thought to myself and let out a sigh of boredom.\n\nPreparations included clipping the large ring of keys to my belt and throwing the leather watchclock strap over my right shoulder before setting out into the quiet, dim maze.\n\nI quickly checked the adjacent conference room before descending into the eerie, meandering bowels of the building. I was hunting for keys chained to concrete walls. The turning of a key in the watchclock gave off a satisfying punching noise but anxiety hurried me to exit the dismal lower floors. Only a short excursion through the outdoor pool area and around the building offered any respite.\n\nLocking the door to the buzzing transformer room, I began the zig-zagging climb through the twelve residential floors while noting down the lights that were either flickering or burnt out. On the last floor, I sometimes stood in the large maintenance room and watched some news on a dusty old TV that looked like it was from the 80s.\n\nAscending a few more – rather steep – steps brought my face inches from a heavy, latched metal door that lead to the roof. I trekked across the starry night to get to the lonely elevator machine room where the final key awaited me.\n\nPerched on the roof, I lit up a healthy smoke and started my daily dose of wonderment.\n\nThe cosmos turned ever so gently and quiet cricket noises filled the warm summer air.\n\n*Releases a puff of smoke*\n\n“Oh my dear friends, we have only begun to scratch the surface.”",
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      "title": "So curious #1 - The imaginary number",
      "body": "Hello my name is P-P-Piglet and welcome to my first post on So curious, a b-b-blog where we explore select math & science topics that intrigue the m-m-mind.\n\nThe imaginary number √-1 is something that had me stumped for many years. When I was about 12 and first came across it, a wave of bewilderment and fascination crashed through my mind. I had a fair understanding of how to find the square root of a number: find another number whose “square” is the number inside the funny √ symbol. For example, √9 = 3 because 3 x 3 = 9.\n\n*Can you find √169? Hint: find a number such that when you multiply it by itself you get 169*\n\nBut when I tried the same trick with √-1 nothing seemed to work. I dare you to try.\n\nIn my head, my math teacher’s voice was droning on about how *“a negative times a negative equals a positive”* but this conflicted with any attempts I made to preserve the negative sign. Nope, the negative sign would always negate itself into oblivion, to self-combust into the tear-soaked ashes of my despair.\n\nAnd many years would pass until √-1 would make its way back into my life.\n\n√-1 showed up in my electrical engineering textbook during my freshman year in university. They used the letter **j** because it is easier to jot down **j** instead of √-1 (or the letter **i** works too!). I felt that letting **j** = √-1 was a bit of a cover up – like shoving some dirty clothes under the carpet. Moreover, they used **j** in the context of something they called *“complex numbers”*. Sheesh! Imaginary, complex… who came up with this stuff?\n\nHere are some examples of complex numbers:\n> 1 + j\n> -5 - 3j\n> 0 + 2j = 2j\n> 0 + 0j = 0\n> 13 + 0j = 13\n\nRemember, **j** is just shorthand for √-1. In other words: 2**j** = “2 times the imaginary number”\nAlso, notice how 0 and 13 are just ordinary numbers. Plain ordinary numbers are also complex numbers! It’s like saying all puppies are dogs. However, not all dogs are puppies (unless you are really imagining things).\n\nThe examples above can be represented visually:\n![download.png](https://steemitimages.com/DQmQu1vW9BFiAFNyreFE6ZEwa7ovRzUq8pQBhoKSpisEPno/download.png)\n*The image was generated using https://www.matheretter.de/formulas/geometry/geodrafter*\n\nThese arrows (a.k.a. vectors) can be dragged around but their underlying value does not change as long as you respect two rules: \n1) You don’t change their length\n2) You don’t change their direction (ok, well 0 doesn’t have a direction… you got me there)\n\nAnd now we arrive at my breakthrough – a small crack on the shell that contains the mysterious imaginary number. Do you see that little “Im” at the top of the picture? That stands for Imaginary. And the “Re” on the right stands for Real as in real, plain and ordinary… quite boring in fact. \n\nWhen I first saw this, it stuck with me for several days. But slowly the meaning became clear:\n\n__*√-1 points into the 2nd dimension*__\n\nBut wait! What is √-1 pointing away from? I mean, we need something that points in the 1st dimension if we are going to have something that points in the 2nd dimension right?\nCan you guess what √-1 is running away from? \n.\n.\n.\nOne Direction! … erm, I mean 1's direction.\n\nSo there we have it: taking steps in 1 and √-1 (and their negative counterparts) enables you to walk anywhere on a 2D plane.\n> Ordinary numbers are 1D: like ants crawling down a clothesline.\n> Complex numbers are 2D: like ants crawling on your patio table.\n\nTo restate my earlier revelation with a little more rigor: \n\n__*√-1 points in the direction 90-degrees to 1 and vice versa*__\n\nOne way to corroborate this claim is to think about what happens when you multiply an ordinary number by -1. It simply flips the arrow by 180-degrees as in the picture below:\n![download (2).png](https://steemitimages.com/DQmcXXqFYnrX6FCmUsvHY5LyFnSpZysicZTj913A1QeooKm/download%20(2).png)\n \nBut what if we wanted to rotate by only 90-degrees instead? We multiplied by (-1) to get 180-degrees. What do we need to multiply by to get only 90-degrees? \n\nWhatever it is, let’s call it a Niall.\n\nWe know that two 90-degree rotations (getting hit by Niall twice) is the same as a single 180-degree operation.\n\nIn other words: (Niall) x (Niall) = -1\n\nSo what number exists such that when you square it you get -1?\n\nThe imaginary number!\n\n (√-1) x (√-1) = -1\n\nNiall is imaginary, it was all a lie!\n\nTo summarize:\n> Multiplying by √-1 is like rotating by 90-degrees.\n> Multiplying by -1 is like rotating by 180-degrees.\n> Multiplying by √-1√-1 is also like rotating by 180-degrees because (√-1) x (√-1) = -1\n\nThere are many more interesting facts about √-1 but I do not want my blog to turn into a blob and lose my reader’s attention. Let me know if you think the post was too long or short or just right. Feel free to share anything pertaining to the topic in the comments section below. \n\nFinally, I leave you with a cute, short video related to the imaginary number:\nhttps://youtu.be/_qvp9a1x2UM\n\nB-b-bye!",
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      "title": "So curious #1 - The imaginary number",
      "body": "Hello my name is P-P-Piglet and welcome to my first post on So curious, a b-b-blog where we explore select math & science topics that intrigue the m-m-mind.\n\nThe imaginary number √-1 is something that had me stumped for many years. When I was about 12 and first came across it, a wave of bewilderment and fascination crashed through my mind. I had a fair understanding of how to find the square root of a number: find another number whose “square” is the number inside the funny √ symbol. For example, √9 = 3 because 3 x 3 = 9.\n\n*Can you find √169? Hint: find a number such that when you multiply it by itself you get 169*\n\nBut when I tried the same trick with √-1 nothing seemed to work. I dare you to try.\n\nIn my head, my math teacher’s voice was droning on about how *“a negative times a negative equals a positive”* but this conflicted with any attempts I made to preserve the negative sign. Nope, the negative sign would always negate itself into oblivion, to self-combust into the tear-soaked ashes of my despair.\n\nAnd many years would pass until √-1 would make its way back into my life.\n\n√-1 showed up in my electrical engineering textbook during my freshman year in university. They used the letter **j** because it is easier to jot down **j** instead of √-1 (or the letter **i** works too!). I felt that letting **j** = √-1 was a bit of a cover up – like shoving some dirty clothes under the carpet. Moreover, they used **j** in the context of something they called *“complex numbers”*. Sheesh! Imaginary, complex… who came up with this stuff?\n\nHere are some examples of complex numbers:\n> 1 + j\n> -5 - 3j\n> 0 + 2j = 2j\n> 0 + 0j = 0\n> 13 + 0j = 13\n\nRemember, **j** is just shorthand for √-1. In other words: 2**j** = “2 times the imaginary number”\nAlso, notice how 0 and 13 are just ordinary numbers. Plain ordinary numbers are also complex numbers! It’s like saying all puppies are dogs. However, not all dogs are puppies (unless you are really imagining things).\n\nThe examples above can be represented visually:\n![download.png](https://steemitimages.com/DQmQu1vW9BFiAFNyreFE6ZEwa7ovRzUq8pQBhoKSpisEPno/download.png)\n*The image was generated using https://www.matheretter.de/formulas/geometry/geodrafter*\n\nThese arrows (a.k.a. vectors) can be dragged around but their underlying value does not change as long as you respect two rules: \n1) You don’t change their length\n2) You don’t change their direction (ok, well 0 doesn’t have a direction… you got me there)\n\nAnd now we arrive at my breakthrough – a small crack on the shell that contains the mysterious imaginary number. Do you see that little “Im” at the top of the picture? That stands for Imaginary. And the “Re” on the right stands for Real as in real, plain and ordinary… quite boring in fact. \n\nWhen I first saw this, it stuck with me for several days. But slowly the meaning became clear:\n\n__*√-1 points into the 2nd dimension*__\n\nBut wait! What is √-1 pointing away from? I mean, we need something that points in the 1st dimension if we are going to have something that points in the 2nd dimension right?\nCan you guess what √-1 is running away from? \n.\n.\n.\nOne Direction! … erm, I mean 1's direction.\n\nSo there we have it: taking steps in 1 and √-1 (and their negative counterparts) enables you to walk anywhere on a 2D plane.\n> Ordinary numbers are 1D: like ants crawling down a clothesline.\n> Complex numbers are 2D: like ants crawling on your patio table.\n\nTo restate my earlier revelation with a little more rigor: \n\n__*√-1 points in the direction 90-degrees to 1 and vice versa*__\n\nOne way to corroborate this claim is to think about what happens when you multiply an ordinary number by -1. It simply flips the arrow by 180-degrees as in the picture below:\n![download (2).png](https://steemitimages.com/DQmcXXqFYnrX6FCmUsvHY5LyFnSpZysicZTj913A1QeooKm/download%20(2).png)\n \nBut what if we wanted to rotate by only 90-degrees instead? We multiplied by (-1) to get 180-degrees. What do we need to multiply by to get only 90-degrees? \n\nWhatever it is, let’s call it a Niall.\n\nWe know that two 90-degree rotations (getting hit by Niall twice) is the same as a single 180-degree operation.\n\nIn other words: (Niall) x (Niall) = -1\n\nSo what number exists such that when you square it you get -1?\n\nThe imaginary number!\n\n (√-1) x (√-1) = -1\n\nNiall is imaginary, it was all a lie!\n\nTo summarize:\n> Multiplying by √-1 is like rotating by 90-degrees.\n> Multiplying by -1 is like rotating by 180-degrees.\n> Multiplying by √-1√-1 is also like rotating by 180-degrees because (√-1) x (√-1) = -1\n\nThere are many more interesting facts about √-1 but I do not want my blog to turn into a blob and lose my reader’s attention. Let me know if you think the post was too long or short or just right. Feel free to share anything pertaining to the topic in the comments section below. \n\nFinally, I leave you with a cute, short video related to the imaginary number:\nhttps://youtu.be/_qvp9a1x2UM\n\nB-b-bye!",
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      "body": "“Alright Piglet, here are the keys and I’ll see you in the morning.”\n\nSitting alone in the office in the dead of night and with my feet up on the desk, I dozely stared at the array of video screens. A solitary figure drifted through a corridor.\n\n“Twelve hours and two patrols,” I thought to myself and let out a sigh of boredom.\n\nPreparations included clipping the large ring of keys to my belt and throwing the leather watchclock strap over my right shoulder before setting out into the quiet, dim maze.\n\nI quickly checked the adjacent conference room before descending into the eerie, meandering bowels of the building. I was hunting for keys chained to concrete walls. The turning of a key in the watchclock gave off a satisfying punching noise but anxiety hurried me to exit the dismal lower floors. Only a short excursion through the outdoor pool area and around the building offered any respite.\n\nLocking the door to the buzzing transformer room, I began the zig-zagging climb through the twelve residential floors while noting down the lights that were either flickering or burnt out. On the last floor, I sometimes stood in the large maintenance room and watched some news on a dusty old TV that looked like it was from the 80s.\n\nAscending a few more – rather steep – steps brought my face inches from a heavy, latched metal door that lead to the roof. I trekked across the starry night to get to the lonely elevator machine room where the final key awaited me.\n\nPerched on the roof, I lit up a healthy smoke and started my daily dose of wonderment.\n\nThe cosmos turned ever so gently and quiet cricket noises filled the warm summer air.\n\n*Releases a puff of smoke*\n\n“Oh my dear friends, we have only begun to scratch the surface.”",
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      "body": "Hey I just read your post and love your introduction to the complex exponential function. A year ago, I came across this video by 3blue1brown that gives some nice animations to really get a feel for the maths involved. His explanation is a bit too fast towards the end and might require a few replays.\nhttps://youtu.be/F_0yfvm0UoU",
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      "body": "haha :-)\n\njust what I was writing about some months ago - cool to see more math people here\n\nhttps://steemit.com/mathematics/@mcsvi/intuitive-math-everybody-can-understand-complex-numbers-part-1-it-s-all-about-rotation",
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      "author": "piglet",
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      "title": "So curious #1 - The imaginary number",
      "body": "Hello my name is P-P-Piglet and welcome to my first post on So curious, a b-b-blog where we explore select math & science topics that intrigue the m-m-mind.\n\nThe imaginary number √-1 is something that had me stumped for many years. When I was about 12 and first came across it, a wave of bewilderment and fascination crashed through my mind. I had a fair understanding of how to find the square root of a number: find another number whose “square” is the number inside the funny √ symbol. For example, √9 = 3 because 3 x 3 = 9.\n\n*Can you find √169? Hint: find a number such that when you multiply it by itself you get 169*\n\nBut when I tried the same trick with √-1 nothing seemed to work. I dare you to try.\n\nIn my head, my math teacher’s voice was droning on about how *“a negative times a negative equals a positive”* but this conflicted with any attempts I made to preserve the negative sign. Nope, the negative sign would always negate itself into oblivion, to self-combust into the tear-soaked ashes of my despair.\n\nAnd many years would pass until √-1 would make its way back into my life.\n\n√-1 showed up in my electrical engineering textbook during my freshman year in university. They used the letter **j** because it is easier to jot down **j** instead of √-1 (or the letter **i** works too!). I felt that letting **j** = √-1 was a bit of a cover up – like shoving some dirty clothes under the carpet. Moreover, they used **j** in the context of something they called *“complex numbers”*. Sheesh! Imaginary, complex… who came up with this stuff?\n\nHere are some examples of complex numbers:\n> 1 + j\n> -5 - 3j\n> 0 + 2j = 2j\n> 0 + 0j = 0\n> 13 + 0j = 13\n\nRemember, **j** is just shorthand for √-1. In other words: 2**j** = “2 times the imaginary number”\nAlso, notice how 0 and 13 are just ordinary numbers. Plain ordinary numbers are also complex numbers! It’s like saying all puppies are dogs. However, not all dogs are puppies (unless you are really imagining things).\n\nThe examples above can be represented visually:\n![download.png](https://steemitimages.com/DQmQu1vW9BFiAFNyreFE6ZEwa7ovRzUq8pQBhoKSpisEPno/download.png)\n*The image was generated using https://www.matheretter.de/formulas/geometry/geodrafter*\n\nThese arrows (a.k.a. vectors) can be dragged around but their underlying value does not change as long as you respect two rules: \n1) You don’t change their length\n2) You don’t change their direction (ok, well 0 doesn’t have a direction… you got me there)\n\nAnd now we arrive at my breakthrough – a small crack on the shell that contains the mysterious imaginary number. Do you see that little “Im” at the top of the picture? That stands for Imaginary. And the “Re” on the right stands for Real as in real, plain and ordinary… quite boring in fact. \n\nWhen I first saw this, it stuck with me for several days. But slowly the meaning became clear:\n\n__*√-1 points into the 2nd dimension*__\n\nBut wait! What is √-1 pointing away from? I mean, we need something that points in the 1st dimension if we are going to have something that points in the 2nd dimension right?\nCan you guess what √-1 is running away from? \n.\n.\n.\nOne Direction! … erm, I mean 1's direction.\n\nSo there we have it: taking steps in 1 and √-1 (and their negative counterparts) enables you to walk anywhere on a 2D plane.\n> Ordinary numbers are 1D: like ants crawling down a clothesline.\n> Complex numbers are 2D: like ants crawling on your patio table.\n\nTo restate my earlier revelation with a little more rigor: \n\n__*√-1 points in the direction 90-degrees to 1 and vice versa*__\n\nOne way to corroborate this claim is to think about what happens when you multiply an ordinary number by -1. It simply flips the arrow by 180-degrees as in the picture below:\n![download (2).png](https://steemitimages.com/DQmcXXqFYnrX6FCmUsvHY5LyFnSpZysicZTj913A1QeooKm/download%20(2).png)\n \nBut what if we wanted to rotate by only 90-degrees instead? We multiplied by (-1) to get 180-degrees. What do we need to multiply by to get only 90-degrees? \n\nWhatever it is, let’s call it a Niall.\n\nWe know that two 90-degree rotations (getting hit by Niall twice) is the same as a single 180-degree operation.\n\nIn other words: (Niall) x (Niall) = -1\n\nSo what number exists such that when you square it you get -1?\n\nThe imaginary number!\n\n (√-1) x (√-1) = -1\n\nNiall is imaginary, it was all a lie!\n\nTo summarize:\n> Multiplying by √-1 is like rotating by 90-degrees.\n> Multiplying by -1 is like rotating by 180-degrees.\n> Multiplying by √-1√-1 is also like rotating by 180-degrees because (√-1) x (√-1) = -1\n\nThere are many more interesting facts about √-1 but I do not want my blog to turn into a blob and lose my reader’s attention. Let me know if you think the post was too long or short or just right. Feel free to share anything pertaining to the topic in the comments section below. \n\nFinally, I leave you with a cute, short video related to the imaginary number:\nhttps://youtu.be/_qvp9a1x2UM\n\nB-b-bye!",
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      "permlink": "re-piglet-re-kkraus69-re-piglet-re-etcbits-digitalnote-xdn-20170622t022803707z",
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      "body": "I stumbled across it on bitcoin talk and started mining it a few hours after its release.",
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      "title": "",
      "body": "source?",
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      "author": "kkraus69",
      "permlink": "re-piglet-re-etcbits-digitalnote-xdn-20170617t180431143z",
      "title": "",
      "body": "There was no premine.",
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      "author": "etcbits",
      "permlink": "re-piglet-re-etcbits-digitalnote-xdn-20170617t042959630z",
      "title": "",
      "body": "I found this  (Circulating Supply\n6,882,320,834 XDN) here is more info https://coinmarketcap.com/currencies/digitalnote/",
      "json_metadata": "{\"tags\":[\"security\"],\"links\":[\"https://coinmarketcap.com/currencies/digitalnote/\"],\"app\":\"steemit/0.1\"}"
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      "author": "piglet",
      "permlink": "re-etcbits-digitalnote-xdn-20170616t213712339z",
      "title": "",
      "body": "What % of total circulating supply was pre-mined?",
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      "parent_author": "cryptogirly92",
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      "permlink": "re-cryptogirly92-re-cryptosteve-re-recrypto-re-kingscrown-iota-the-cryptocurrency-that-jumped-into-6th-position-20170616t213152174z",
      "title": "",
      "body": "M-m-m-my Iota!",
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      "parent_author": "jonathanxvi",
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      "author": "piglet",
      "permlink": "re-jonathanxvi-flow-of-time-20170616t130649693z",
      "title": "",
      "body": "Much like how we needed to give up determinism when moving from Newtonian mechanics to quantum mechanics, now we need to give up spacetime in order to expand our theories to explain all the mysterious phenomenon we struggle with today. Yes, that means our notions of 3space+1time HAVE TO GO. I would not worry too much about the mysteries of space and time and remain transfixed with questions like \"What is time?\" because the next layer of truth is way more intricate than that. I am not saying that space and time are wrong in all contexts, our future theories would have to reduce to relativity much like relativity reduces to Newton when you take certain limits. What I am saying is that worrying about the \"nature of time\" is much like worrying about the waves on a beach when there is a whole ocean to explore.",
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      "parent_author": "momerathalice",
      "parent_permlink": "grenfell-tower-government-failure",
      "author": "piglet",
      "permlink": "re-momerathalice-grenfell-tower-government-failure-20170616t123103225z",
      "title": "",
      "body": "The issue is about government corruption, centralization, power/control, and ultimate complacency and general failure. The elected officials do not really have any specialized knowledge (maybe some do but overall it is greatly lacking), are susceptible to greed and corruption, and they spend their time arguing (excuse me, debating) about rules that go into a book of which most of the officials do not really understand. They also sound like school children when they engage in this process.\nLet's face it, we need a new government architecture.\nI honestly think governments should be formed on a distributed system where scientists, doctors, engineers, teachers, lawyers, and anybody else can participate. Sure, there would be many clusters of these decentralized 'states' and the sovereignty of them would play out and cause other issues... but those are issues for our great grandchildren.\nRight now we are faced with a corrupt, incompetent, powerful, centralized, complacent, lazy government that has all the control and is out of control.",
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