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      "parent_permlink": "re-andyblack-re-anasepit90-re-andyblack-re-anasepit90-geolocation-through-the-heavens-20180211t102411947z",
      "author": "andyblack",
      "permlink": "re-anasepit90-re-andyblack-re-anasepit90-re-andyblack-re-anasepit90-geolocation-through-the-heavens-20180211t112620101z",
      "title": "",
      "body": "Μόνο μέσα σε μια ιδανική κοινωνία όπου πλέον το χρήμα δεν θα παίζει ρόλο, θα υπάρχει πλήρης ισότητα των ανθρώπων τόσο στην μόρφωση όσο και στην παροχή των υλικών αγαθών τότε και μόνο τότε βλέπω και τα social media να περνάνε σε μια νέα φάση ιδανικής λειτουργίας. Όταν η ίδια η κοινωνία είναι βασισμένη σε λανθασμένους κανόνες δεν μπορείς να ζητάς απο τα social media να λειτουργούν αλλιώς, εκφράζουν την μάζα, και αυτή η αντισυμβατικότητα για την οποία μιλάς, φαινόμενο μαζοποίησης είναι αν το καλοσκεφτείς. Όταν λοιπόν μπαίνεις μέσα όχι μόνο δεν εκφράζεις και κάνεις αυτά που θές αλλά γίνεσαι και εσύ ένα με την μάζα, μπαίνεις στον χορό και χορεύεις να το πώ λαικά. Αν πιστεύεις ότι το steemit σε εκφράζει κάπως περισσότερο ώστε να πείς αυτά που σκέφτεσαι, σε λίγο καιρό θα αλλάξεις γνώμη, δεν είναι έχει καμία σχέση με blockchain αυτό το δημιούργημα, τα κατασκευαστικά προβλήματα του steemit είναι πολλά, έρχονται νέες πλατφόρμες μέσα απο το blockchain που θα φέρουν την πραγματική ελευθερία έκφρασης...",
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      "author": "anasepit90",
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      "title": "",
      "body": "@@ -1686,16 +1686,25 @@\n %CE%BF%CF%85 %CE%AD%CF%81%CE%B9%CE%BE%CE%B1\n+ %CE%AD%CF%89%CF%82 %CF%84%CF%8E%CF%81%CE%B1\n %E2%80%94%CF%80%CE%B5%CF%81%CE%B9%CF%83%CF%83%CF%8C\n",
      "json_metadata": "{\"tags\":[\"blog\"],\"links\":[\"http://adsabs.harvard.edu/cgi-bin/nph-abs_connect?return_req=no_params&author=Epitropakis,%20A.&db_key=AST\"],\"app\":\"steemit/0.1\"}"
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      "author": "anasepit90",
      "permlink": "re-andyblack-street-art-rethymno-greece-2018-02-08-20-28-54-20180211t105208256z",
      "title": "",
      "body": "Γεια σου ρε Ρέθεμνος! Έχω ωραίες αναμνήσεις απ' αυτήν την πόλη, αδερφέ! Από εκεί είσαι ή σπουδάζεις εκεί; Πού τραβήχτηκε η φωτό;",
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      "author": "anasepit90",
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      "title": "",
      "body": "@@ -1676,16 +1676,26 @@\n  %CE%BA%CF%81%CE%AC%CE%BE%CE%B9%CE%BC%CE%BF\n+ %CF%80%CE%BF%CF%85 %CE%AD%CF%81%CE%B9%CE%BE%CE%B1\n %E2%80%94%CF%80%CE%B5%CF%81%CE%B9%CF%83%CF%83%CF%8C\n",
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      "author": "anasepit90",
      "permlink": "re-michelmake-the-disastrous-adventure-of-glen-and-bessie-hyde-20180211t104434764z",
      "title": "",
      "body": "Very interesting story, Michel! I've bookmarked the podcast for later, so I can listen to it myself.\n\nThere's two more things I gotta get off my chest. The first is a question: Do you think any theories regarding the fate of this tragic couple have more merit than others, and if so, why? The second is kind of a silly observation: Glen Hyde kinda looks like a young Ian McKellen in that first picture, doesn't he? :P\n\nKeep up the good work!",
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    {
      "parent_author": "andyblack",
      "parent_permlink": "re-anasepit90-re-andyblack-re-anasepit90-geolocation-through-the-heavens-20180211t093651385z",
      "author": "anasepit90",
      "permlink": "re-andyblack-re-anasepit90-re-andyblack-re-anasepit90-geolocation-through-the-heavens-20180211t102411947z",
      "title": "",
      "body": "Εδώ διαφωνούμε κάθετα, φίλε: Η άποψη ότι όταν είσαι content creator σ' ένα social media platform πρέπει ν' απευθύνεσαι σ' ευρύ κοινό δεν είναι λογικό επακόλουθο. Αυτό είναι μια διαστρεβλωμένη εντύπωση που έχει γαλουχηθεί από συγκεκριμένα platforms όπως *YouTube*, *Facebook* και *Twitter* που βασίζονται σε attention economies.\n\nΤο ότι ο περισσότερος κόσμος στα δημοφιλέστερα social media είναι γλείφτες και παρακαλάνε για views, (re-) shares, likes, subscriptions κτλ. επειδή μόνο έτσι το attention economy τους επιβραβεύει με δημοτικότητα και χρήματα, δεν σημαίνει πως έτσι πρέπει να λειτουργούν τα social media. Ειδικά αν κάποιο άτομο δημιουργεί υλικό που πάει εξόφθαλμα αντίθετα στην πεπατημένη, χωρίς όμως να παραπονιέται για έλλειψη δημοτικότητας, **ακριβώς** επειδή έχει το απαιτούμενο επίπεδο αυτογνωσίας.\n\nΓενικά πάντως η πρόταση\n\n>όταν γράφεις το άρθρο σου σε ένα social media προφανώς και απευθύνεσαι στον μέσο αναγνώστη αλλιώς ας πούμε θα το ανέβαζες σε ένα επιστημονικό περιοδικό του πεδίου σου\n\nείναι λιγάκι ακραία ρε συ μαν. (Σόρι που τα λέω έτσι ντόμπρα, έτσι μιλάω και σαν άνθρωπος και δεν έχω κάτι εναντίον σου.) Δηλαδή ή πηγαίνεις με τη μάζα ή γράφεις papers; [Έχω (συν- ) γράψει και απ' αυτά](http://adsabs.harvard.edu/cgi-bin/nph-abs_connect?return_req=no_params&author=Epitropakis,%20A.&db_key=AST), άρα δεν γράφω εδώ για να κάνω έρευνα ή να το παίξω έξυπνος. Μπούρδες γράφω όπως και η πλειοψηφία, απλά το στιλ μου είναι κάπως αντισυμβατικό.\n\nΤο *Steemit* μου προσφέρει μια **πολύ** φιλικότερη—για να μην αναφέρω πλησιέστερη στη γενικότερη φιλοσοφία μου—πλατφόρμα για ν' αδειάζω τις σκέψεις μου. Έριξα πάντως μια ματιά στο *steemstem* και παρά το ελαφρύ κράξιμο—περισσότερο για τη γενικότερη κατάντια των social media—θ' ακολουθήσω τη συμβουλή σου γιατί είδα πως ασχολούνται μ' επιστήμες. Σ' ευχαριστώ λοιπόν γι' αυτό :)\n\nΓενικά σαν επιστήμονας να ξέρεις πως έχω πολύ χαμηλές προσδοκίες απ' τη συντριπτική πλειοψηφία των science communicators: Αφενός μεν δεν καταλαβαίνουν οι ίδοι σε βάθος το αντικείμενο που συζητάνε και αφετέρου το υπεραπλουστεύουν τόσο πολύ—για να γίνει \"φιλικό\" προς μέσο αναγνώστη—που χάνεται η ουσία.\n\nΝομίζω το κλείσιμό σου ταιριάζει γάντι κι εδώ:\n\n>συνέχισε να γράφεις όπως θές και όποτε θές!!! Blockchain is freedom!!! :)\n\nΕδώ είμαι μαζί σου 100%, εκτός κι αν η απληστία μας βρει τρόπο να διαλύσει και το blockchain...",
      "json_metadata": "{\"tags\":[\"blog\"],\"links\":[\"http://adsabs.harvard.edu/cgi-bin/nph-abs_connect?return_req=no_params&author=Epitropakis,%20A.&db_key=AST\"],\"app\":\"steemit/0.1\"}"
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      "parent_permlink": "re-andyblack-re-anasepit90-geolocation-through-the-heavens-20180211t091258424z",
      "author": "andyblack",
      "permlink": "re-anasepit90-re-andyblack-re-anasepit90-geolocation-through-the-heavens-20180211t093651385z",
      "title": "",
      "body": "Σεβαστό αυτό που μου λες, αλλά προσωπική μου γνώμη είναι ότι όταν γράφεις το άρθρο σου σε ένα social media προφανώς και απευθύνεσαι στον μέσο αναγνώστη αλλιώς ας πούμε θα το ανέβαζες σε ένα επιστημονικό περιοδικό του πεδίου σου. Όσον αφορά το tag, στο είπα γτ μπορεί να υπάρχουν άτομα στο steemstem που πραγματικά να ενδιαφέρονται για το άρθρο σου και απλώς να μην μπορούν να το εντοπίσουν μέσα στα χιλιάδες άλλα που κυκλοφορούν. Τέλος πάντων συνέχισε να γράφεις όπως θές και όποτε θές!!! Blockchain is freedom!!! :)",
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      "author": "anasepit90",
      "permlink": "re-giosou-re-dimitra-skiathos-greece-2018-02-03-22-51-12-20180211t091751776z",
      "title": "",
      "body": "Φεβρουάριος είναι ακόμα ρε μαν, κάτσε να μπει και η άνοιξη πρώτα, τι κοντεύει... :P",
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      "author": "anasepit90",
      "permlink": "re-andyblack-re-anasepit90-geolocation-through-the-heavens-20180211t091258424z",
      "title": "",
      "body": "@@ -587,16 +587,65 @@\n %CF%83%CE%B5%CE%B2%CE%B1%CF%83%CF%84%CF%8C.\n+ %CE%95%CE%BA%CF%84%CE%B9%CE%BC%CF%8E %CE%BB%CE%BF%CE%B9%CF%80%CF%8C%CE%BD %CF%84%CE%B7%CE%BD %CE%BA%CE%B1%CE%BB%CE%BF%CF%83%CF%8D%CE%BD%CE%B7 %CF%83%CE%BF%CF%85 %CE%BA%CE%B1%CE%B9 %CF%83' %CE%B5%CF%85%CF%87%CE%B1%CF%81%CE%B9%CF%83%CF%84%CF%8E.\n  %CE%A4%CE%BF %CE%B4%CE%B9%CE%BA%CF%8C\n",
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      "parent_author": "andyblack",
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      "author": "anasepit90",
      "permlink": "re-andyblack-re-anasepit90-geolocation-through-the-heavens-20180211t091258424z",
      "title": "",
      "body": "Ευχαριστώ φίλε! Αν και εκτιμώ τις συμβουλές σου έως τώρα, πρέπει να σου πω πως δεν γράφω για να με διαβάσει πολύς κόσμος. Γράφω γιατί θέλω να βγάλω διάφορες σκέψεις και απόψεις από μέσα μου. Δεν έχω σκοπό να γίνω μηχανή που γράφει μικρά αρθράκια με πιασάρικο υλικό για να βγάλω λεφτά: Έως τώρα γράφω ό,τι θέλω, όποτε θέλω και όπως θέλω. Είμαι φυσικά πάντα ανοιχτός σε οποιαδήποτε μορφή κριτικής όσον αφορά το περιεχόμενο των επιχειρημάτων :)\n\nΚαταλαβαίνω φυσικά γιατί μου δίνεις τέτοιες συμβουλές: Γιατί αυτό κυνηγάνε οι περισσότεροι δημιουργοί εδώ στο *Steemit* και αυτό είναι απόλυτα σεβαστό. Το δικό μου στιλ είναι όμως αρκετά διαφορετικό, όπως θα έχεις ίσως προσέξει. Στοιχηματίζω πως ο περισσότερος κόσμος δεν μπορεί να καταλάβει αυτά που γράφω, για λόγους που νομίζω είναι λίγο-πολύ προφανείς: Έχει αρκετά μαθηματικά, φυσική, επιχειρηματολογία και λογική. Επίσης είναι σχετικά μεγάλα σε μέγεθος, οπότε είναι απόλυτα λογικό να μην ενδιαφέρεται ο μέσος αναγνώστης. Είμαι ΟΚ μ' αυτό, δεν ψάχνω για spotlight.",
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      "author": "anasepit90",
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      "title": "Geolocation through the heavens",
      "body": "@@ -3510,16 +3510,35 @@\n he gazes\n+ (upon first light)\n  of our \n@@ -3558,25 +3558,8 @@\n sts \n-upon first light \n meet\n@@ -4525,23 +4525,16 @@\n ccuracy \n-that%E2%80%99s \n restrict\n",
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      "body": "@@ -109,33 +109,26 @@\n us. \n-To coordinate many people\n+For people to work\n  tow\n@@ -239,17 +239,21 @@\n n time. \n-H\n+But h\n ow did o\n@@ -324,77 +324,91 @@\n ut, \n-the clock emerges as\n+building clocks and watching\n  the \n-leading protagonist of this (very) old story\n+heavens have taken us a long way in that direction\n .%0A%0A%3C\n@@ -779,16 +779,22 @@\n  on the \n+sun%E2%80%99s \n position\n@@ -794,26 +794,26 @@\n osition \n-of\n+in\n  the s\n-un\n+ky\n ; basica\n@@ -980,15 +980,27 @@\n  are\n-n%E2%80%99t any\n+ many people and no\n  clo\n@@ -1168,19 +1168,20 @@\n you can \n-all\n+just\n  look fo\n@@ -1182,30 +1182,16 @@\n ook for \n-the so-called \n first li\n@@ -1193,17 +1193,23 @@\n st light\n-:\n+; i.e.,\n  the exa\n@@ -1301,17 +1301,20 @@\n ht think\n-;\n+, as\n  it depe\n@@ -1740,25 +1740,16 @@\n they\n-%E2%80%99ve just\n  realize\n-d\n  tha\n@@ -1808,61 +1808,56 @@\n ces \n-the\n+how\n  accura\n-cy of universal timekeeping when nobody has\n+tely people can meet in the absence of\n  clo\n@@ -2701,12 +2701,12 @@\n ger \n-must\n+will\n  Bob\n@@ -2816,35 +2816,8 @@\n that\n- extends from his position,\n  gra\n@@ -2861,29 +2861,28 @@\n zon,\n- and\n  extend\n-s far into\n+ing into deep\n  spa\n@@ -3287,148 +3287,12 @@\n r%3E%0A%0A\n-When Alice sees first light, her own gaze traces a different line that extends into deep space, grazing her horizon at a particular point. H\n+So h\n ow b\n@@ -3535,16 +3535,33 @@\n gonists \n+upon first light \n meet. If\n@@ -4112,26 +4112,8 @@\n ree \n-worth of distance \n+\n in t\n@@ -4971,17 +4971,16 @@\n  diverge\n-d\n  from th\n@@ -5027,18 +5027,17 @@\n . (This \n-wa\n+i\n s mostly\n@@ -5047,16 +5047,22 @@\n used by \n+daily \n changes \n@@ -5229,18 +5229,17 @@\n the \n-clock-read\n+time-keep\n ing \n@@ -5546,21 +5546,20 @@\n its own \n-clock\n+time\n -keeping\n@@ -5570,14 +5570,14 @@\n or, \n-and so\n+ hence\n  it \n@@ -6277,24 +6277,23 @@\n eas, you\n- want to\n+%E2%80%99d like\n  know yo\n@@ -6336,47 +6336,8 @@\n racy\n- (with respect to total journey length)\n . Si\n@@ -6926,23 +6926,19 @@\n de, you \n-need to\n+can\n  compare\n@@ -7192,16 +7192,34 @@\n  voyage,\n+ it turns out that\n %0A%0A%3Ccente\n@@ -7613,18 +7613,30 @@\n h means \n-an\n+increasing the\n  accurac\n@@ -7637,18 +7637,18 @@\n ccuracy \n+t\n o\n-f\n  ~ 1%25; R\n@@ -7740,20 +7740,13 @@\n at a\n-n even bigge\n+ clea\n r ad\n@@ -7757,23 +7757,18 @@\n age,\n- as it\n  requir\n-es\n+ing\n  a l\n@@ -8183,14 +8183,18 @@\n ly, \n-happen\n+was achiev\n ed b\n",
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      "title": "Geolocation through the heavens",
      "body": "@@ -158,27 +158,27 @@\n ective, \n-you need to\n+people must\n %E2%80%94more or\n",
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      "title": "Geolocation through the heavens",
      "body": "Finding our exact position in time and space has, historically, always been a matter of great importance to us. To coordinate many people toward a common objective, you need to—more or less simultaneously—meet at particular places and moments in time. How did our ability to do this improve through the ages? As it turns out, the clock emerges as the leading protagonist of this (very) old story.\n\n<center>![pexels-photo-696218-2.jpg](https://steemitimages.com/DQmbSVRtj8r9QR1NCB5EwESntmhiWs4AFsaQ68h54k5JKze/pexels-photo-696218-2.jpg)\n<i>Without clocks, there’d be far less gatherings of this kind</i></center>\n\nAlthough I have no evidence to back this up, I suppose the first means of organizing meetings depended on oral communication and time estimation based on the position of the sun; basically people agreed meeting at a convenient place and time. If you think about it, picking a mutually convenient time is quite a hard thing to pull off when there aren’t any clocks.\n\nPerhaps the best you can do in this case, is pick among three events: sunrise, (local) noon, and sunset. Sunrise is particularly useful in this regard, as you can all look for the so-called first light: the exact moment sun-rays pass over your horizon. However, that’s not as accurate as you might think; it depends on the elevation. If you’re on top of a mountain, you’ll see first light **earlier** than someone at sea level.\n\n<center>![pexels-photo-847483-2.jpg](https://steemitimages.com/DQmZry5HoPk2aDDYSndTVM1kCXY9QE9bexbFqbry2B42kpm/pexels-photo-847483-2.jpg)\n<i>Can you imagine depending on the sun’s position instead of clocks?</i></center>\n\nAt this point most people give up, because they’ve just realized that, yes indeed, elevation is a parameter that influences the accuracy of universal timekeeping when nobody has clocks. Big deal, there’s probably tons of other parameters that influence the error term, right? Well, I beg to differ; I think difference in elevation, *h*, is the most relevant parameter here, so examining it more closely will reveal something interesting.\n\n<center>![pexels-photo-461593-2.jpg](https://steemitimages.com/DQmRYK4SsbtwjB1TqK6jSH9WVzp7mn3Wo3SDAkapCKAKW9k/pexels-photo-461593-2.jpg)\n<i>Intellectual boldness isn’t as cool as climbing a mountain, I know</i></center>\n\nLet’s assume a worst-case scenario of two young lovers, Alice and Bob, who want to meet. They’re madly in love, but live in separate villages—Alice at the base and Bob near the top of a mountain—where clocks are unheard of. They agree to meet at a small grove halfway up the mountain at first light, but our protagonists live at different elevations. How much longer must Bob wait until his beloved shows up?\n\nThe moment he sees first light, Bob’s gaze traces an imaginary line that extends from his position, grazes over the edge of his visible horizon, and extends far into space. At the same time, Alice still anxiously awaits for first light to appear in the east. In fact, she won’t won’t see first light until a time *t* **after** Bob starts climbing down the mountain.\n\n<center>![pexels-photo-250400-2.jpg](https://steemitimages.com/DQmYjEe5nY15U5Vk7pAzLqhLSKN7LJra6eWQ5toZruu1ckg/pexels-photo-250400-2.jpg)\n<i>Mountaintops see first light before the sea does</i></center>\n\nWhen Alice sees first light, her own gaze traces a different line that extends into deep space, grazing her horizon at a particular point. How big is *t*? Well, if you think about it, it’s basically the extra *angular distance*, *θ*, the sun has to traverse before appearing in Alice’s field of view. To find *θ*, we have to calculate the angle at which the gazes of our two protagonists meet. If you work out the geometry, it turns out that\n\n<center><i>θ</i> ~ 60·√(2<i>h</i>/<i>R</i><sub>earth</sub>) deg ~ 1 deg,  &nbsp;&nbsp;&nbsp;&nbsp; (1)</center>\n\nwhere *R*<sub>earth</sub> ~ 5,000 km (ballpark numbers people, don’t freak out) is the earth’s radius.\n\n<center>![pexels-photo-2.jpg](https://steemitimages.com/DQmb17enaxxChqQK1Q5ZHcYKgxDU56uBu6G1SenBKpwqjmh/pexels-photo-2.jpg)\n<i>This is turning out to be quite a romantic tale, isn’t it?</i></center>\n\nSo basically *t* is equal to the time needed for the sun to traverse about 1 degree worth of distance in the sky. Since it does a complete rotation (360 degrees) in 24 hours, the sun has an (average) angular speed *ω* ~ (360/24) deg/hour ~ 10 deg/hour. Putting it all together, we get\n\n<center><i>t</i> = <i>θ</i>/<i>ω</i> ~ 0.1 hours ~ 5 min.  &nbsp;&nbsp;&nbsp;&nbsp; (2)</center>\n\nThis is pretty remarkable: **Bob has to wait about 5 minutes before Alice comes along**. And that’s essentially the kind of accuracy that’s restricting you in the absence of clocks.\n\n<center>![pexels-photo-280264-2.jpg](https://steemitimages.com/DQmNYjdBmgeFob9ouxtJWP1rhs39RVmHWVQ8tWM6MkxLt5N/pexels-photo-280264-2.jpg)\n<i>Feeling good about having clocks yet?</i></center>\n\nWhen you **do** have clocks, it all comes down to the accuracy with which they’re synchronized. Especially for early pendulum-type clocks, the problem is that, given sufficient time, their readings diverged from the actual positions of the sun in the sky. (This was mostly caused by changes in temperature, hence length, and therefore oscillation period.) Errors of these kind keep piling up, unless you do something to correct it mechanically.\n\nWhen the clock-reading error reaches 5 minutes or so, clock synchronization becomes pointless. So, how slowly do clocks have to diverge so that they remain synchronized to a respectable degree of accuracy? This basically depends on how long you want to keep them synchronized: Any uncorrected clock has a finite rate at which it piles up its own clock-keeping error, and so it can be used to an accuracy ≲ 1 minute (i.e., better than no clocks at all) for a finite period of time.\n\n<center>![pendulum-cone-chain-gold-39239-2.jpg](https://steemitimages.com/DQmdS3TsXXkqE5DY71rbP6yoaG6i93isX8inXiKDTFRJUqs/pendulum-cone-chain-gold-39239-2.jpg)\n<i>Heavy things swinging back-and-forth once made for great clocks</i></center>\n\nThe point at which accurate clockwork became essential, was during the so-called Age of Discovery (AoD) in 15<sup>th</sup>–18<sup>th</sup> century Europe ([about which I recently wrote](https://mspsteem.com/blog/@anasepit90/european-sea-exploration)), when European colonizers sailed across oceans in search of profit. When you’re traversing the seas, you want to know your position to **at least** 10% accuracy (with respect to total journey length). Since oceans span a good fraction (~ 10%) of the earth’s circumference, I’d say the minimum required accuracy is *s* ~ 1,000 km. But how can you determine your position on earth?\n\n<center>![sundial-mobile-sundial-gauge-technology-159216-2.jpg](https://steemitimages.com/DQmQj24paGbuyusvGZyyZGoUsXnQfkrhyxq3zroeHpBLoU6/sundial-mobile-sundial-gauge-technology-159216-2.jpg)\n<i>Can you imagine crossing oceans without the Internet or GPS?</i></center>\n\nYour longitude is pretty easy to determine using the stars (e.g., the North Star), so latitude is the tricky part. To determine latitude, you need to compare the time between two fixed celestial events; e.g., local noon, and noon defined at some reference position like your hometown. As in Alice and Bob’s case, we need to calculate is some kind of angle *θ*. Assuming a purely east-to-west (or vice-versa) voyage,\n\n<center><i>θ</i> ~ 60·(<i>s</i>/<i>R</i><sub>earth</sub>) deg ~ 10 deg.  &nbsp;&nbsp;&nbsp;&nbsp; (3)</center>\n\nThat’s actually worse than word-of-mouth accuracy (~ 1 deg). Given that trans-oceanic voyages with sailing ships lasted for ~ 100 days, an assumed ~ 10% accuracy means knowing your rough position every week or so. Ideally, you’d like a fairly accurate report on a daily basis, which means an accuracy of ~ 1%; Reports on an hourly basis—which requires an accuracy *t* ~ 0.1 min ~ 10 sec—puts you at an even bigger advantage, as it requires a level of sophistication well beyond word-of-mouth complexity.\n\n<center>![sunset-boat-sea-ship-37730-2.jpg](https://steemitimages.com/DQmXcx5GhHPytVagWhMg8zL8Dq56Nb3BAHQoxpDXUT39He6/sunset-boat-sea-ship-37730-2.jpg)\n<i>Surprisingly enough, competent sailing is complicated stuff</i></center>\n\nOur ability to coordinate our actions over huge distances is thus enabled by accurate time-keeping, which, historically, happened by looking at the heavens. Today, we can basically determine our position within *s* ~ 1 m using satellites in (geosynchronous) orbit. Comparing that to an accuracy *t* ~ 10 sec achieved during the AoD—which is equivalent to *s* ~ 10 km—modern geolocation methods are more accurate by a factor of 10,000: That’s millisecond precision, which even professional videogamers can’t consciously perceive.\n\n<center>![pexels-photo-586063-2.jpg](https://steemitimages.com/DQmbZ3LRN5n1CRYTK9hCgLHm3aEQnY7KF3Z8QoTctukmUFa/pexels-photo-586063-2.jpg)\n<i>We’ve always looked at the heavens to find our position in the Cosmos</i></center>\n\nSo, next time you use Google Maps, give a little thought to the accuracy involved in achieving the miraculous precision required. Remember that this is all made possible by scientific study of the heavens. More important still, remember that **enjoying the fruits of applied scientific knowledge is a privilege, not a right**.",
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      "body": "@@ -1326,17 +1326,147 @@\n  sunsets\n- \n+, sunrises, or meridian transits%E2%80%94i.e., when it%E2%80%99s %3Cb%3Eexactly%3C/b%3E noon, by strict definition and not nation-wide synchronized clocks%E2%80%94\n in diffe\n@@ -1567,112 +1567,8 @@\n rth.\n- In those times, having very accurate clocks had way more benefits than just being on time for meetings.\n %3C/li\n@@ -2234,16 +2234,27 @@\n ngitude.\n+ Cool, huh?\n %3C/li%3E%0A%3C/\n@@ -2304,18 +2304,18 @@\n exhausti\n-ng\n+ve\n , but I \n@@ -2449,16 +2449,26 @@\n ny case,\n+ I thought\n  merging\n@@ -2529,94 +2529,22 @@\n ice \n-sparks, which may just illuminate something interesting about European sea exploration\n+thought-sparks\n .%0A%0A%3C\n@@ -2825,23 +2825,16 @@\n y ships \n-of the \n time wer\n@@ -2854,16 +2854,28 @@\n hey were\n+ at the time\n , and wh\n@@ -3659,16 +3659,37 @@\n  10 km/h\n+ (year-round average)\n . This s\n@@ -7346,14 +7346,8 @@\n s a \n-cubic \n shel\n@@ -8067,20 +8067,17 @@\n hips\n- that\n+,\n  sail\n-ed\n+ing\n  wit\n@@ -8099,22 +8099,108 @@\n o cross \n-oceans\n+entire oceans. Let this be a homage to those brave explorers that made today%E2%80%99s life possible\n .%0A%0AAll t\n",
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      "body": "@@ -353,17 +353,54 @@\n rade\n-,\n+ and\n  wealth,\n+ as well as a substantial boost in\n  rel\n@@ -1805,14 +1805,15 @@\n sics\n-, like\n+ (e.g.,\n  buo\n@@ -1817,20 +1817,17 @@\n buoyancy\n- and\n+,\n  fluid d\n@@ -1829,16 +1829,42 @@\n uid drag\n+, and material properties)\n .%3C/li%3E%0A%3C\n@@ -2097,21 +2097,15 @@\n he a\n-ngular height\n+ltitude\n  of \n@@ -2184,28 +2184,20 @@\n h co\n-rresponds exactly to\n+incides with\n  you\n@@ -3528,16 +3528,17 @@\n ps can, \n+*\n *at best\n@@ -3538,16 +3538,17 @@\n at best*\n+*\n , go as \n@@ -4737,23 +4737,32 @@\n  shape, \n-so that\n+thereby reducing\n  the dra\n@@ -4769,16 +4769,24 @@\n g force \n+exerted \n by the w\n@@ -4793,19 +4793,8 @@\n ater\n- is reduced\n . In\n@@ -5329,16 +5329,12 @@\n  be \n-achieved\n+done\n  in \n@@ -5401,16 +5401,67 @@\n raveling\n+ (e.g., spring, when the weather%E2%80%99s reasonably good)\n . Which,\n@@ -6797,16 +6797,23 @@\n  always \n+counter\n balance \n@@ -6816,16 +6816,27 @@\n nce its \n+the ship%E2%80%99s \n net weig\n@@ -7377,16 +7377,45 @@\n  ~ 10 cm\n+ (from everyday observations)\n ; since \n@@ -7614,19 +7614,20 @@\n p hulls \n-had\n+were\n  ridicul\n@@ -7636,24 +7636,13 @@\n sly \n-high thicknesses\n+thick\n  (*t\n@@ -8114,17 +8114,18 @@\n  oceans.\n- \n+%0A%0A\n All thes\n@@ -8126,21 +8126,32 @@\n l these \n-thing\n+different aspect\n s, inclu\n",
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      "title": "How perpetual students harm the Greek economy",
      "body": "@@ -4348,28 +4348,21 @@\n ion**. (\n-This is abou\n+Almos\n t a thir\n",
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      "title": "How perpetual students harm the Greek economy",
      "body": "@@ -2698,25 +2698,20 @@\n round 10\n- thousand\n+,000\n  %E2%82%AC per a\n@@ -2852,25 +2852,20 @@\n der of 5\n- thousand\n+,000\n  %E2%82%AC a yea\n@@ -2872,25 +2872,20 @@\n r, so 15\n- thousand\n+,000\n  %E2%82%AC in to\n@@ -3548,25 +3548,20 @@\n bout 125\n- thousand\n+,000\n  highsch\n@@ -4098,17 +4098,12 @@\n d 50\n- thousand\n+,000\n  per\n",
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      "permlink": "re-dimitra-kamena-vourla-greece-2018-02-03-13-42-48-20180203t145538571z",
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      "permlink": "misleading-data-on-the-greek-crisis",
      "title": "Misleading data on the “Greek Crisis”",
      "body": "@@ -3809,14 +3809,14 @@\n east\n-**\n  25%25\n+**\n  for\n@@ -4081,16 +4081,18 @@\n te just \n+**\n north of\n@@ -4095,16 +4095,18 @@\n h of 40%25\n+**\n . Long s\n@@ -7634,14 +7634,12 @@\n  is \n-*\n kind\n-*\n  of \n@@ -7932,13 +7932,15 @@\n  of \n+*\n *not*\n+*\n  com\n",
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      "body": "@@ -8160,24 +8160,20 @@\n  it was \n-determin\n+shap\n ed by th\n",
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      "body": "@@ -7458,16 +7458,21 @@\n  if ship\n+ hull\n s had ri\n",
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      "body": "@@ -2370,132 +2370,45 @@\n se, \n-study\n+merg\n ing the \n-maths behind shipbuilding and geolocation sounded like a good plan to me. If anything, merging these two studie\n+relevant maths and physic\n s sh\n",
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      "body": "I’ve always been fascinated by the maritime history of 15<sup>th</sup>–18<sup>th</sup> century Europe. Since this period is largely characterized by exploration and colonization, it’s often referred to it as the Age of Discovery (AoD). Compared to the stagnant nature of the preceding Middle Ages, the AoD is characterized by a tremendous increase in trade, wealth, religious, artistic, and scientific development. Its impact can still be felt to this day, decades after most former European superpowers “allowed” their last colonies to govern themselves.\n\n<center>![pexels-photo-697662-2.jpg](https://steemitimages.com/DQmNSfkbAb6DatDb2xf74CKkRL4qqWdWPzqcZw8G5X467Ub/pexels-photo-697662-2.jpg)\n<i>This is what European explorers dealt with instead of iPhones</i></center>\n\nAt some point it struck me that **none** of that would’ve been possible—and indeed **wasn’t** for most nations at the time—were it not for a substantial advancement in the following fields:\n\n<ol>\n<li><b>Optics, and in particular the telescope:</b> Being able to clearly see what’s coming over the horizon is a big boost to exploration. But it’s just not possible to advance in telescope-making if you don’t understand basic rules of (geometric) optics.</li>\n<li><b>The study of time and its measurement:</b> Timing sunsets in different parts of the world is absolutely essential for accurately determining your latitude on earth. In those times, having very accurate clocks had way more benefits than just being on time for meetings.</li>\n<li><b>Designing and building ships</b>: This one’s pretty obvious, since there’s no way to explore the oceans and colonize far-away lands without large and fast ships. To gain an edge in terms of size and speed, you need to understand quite a bit of physics, like buoyancy and fluid drag.</li>\n<li><b>Astronomy, particularly the use of celestial reference points:</b> Another obvious one, which is nonetheless important to mention. Perhaps the most well-known method (at least in the Northern Hemisphere) is determining the angular height of the <a href=\"https://en.wikipedia.org/wiki/Polaris\">North Star</a>, which corresponds exactly to your longitude.</li>\n</ol>\n\nI know the above list is probably not exhausting, but I can’t think of any other research field that had a stronger influence on the AoD. (No, the compass is just a simple tool.) In any case, studying the maths behind shipbuilding and geolocation sounded like a good plan to me. If anything, merging these two studies should produce a few nice sparks, which may just illuminate something interesting about European sea exploration.\n\n<center>![telescope-science-discover-world-2.jpg](https://steemitimages.com/DQmY5otPHBVkyFYBDrgHAyqQmsRC43J5zMsuv8Wbhf9V9eZ/telescope-science-discover-world-2.jpg)\n<i>There’s a reason the telescope used to be a symbol of progress</i></center>\n\nLet’s now try and understand why ships of the time were as big as they were, and why they moved as fast as they did. To (drastically) simplify things, I’ll henceforth assume that ships are hollow cubes of  side *L*, with a sail of area *L*<sup>2</sup> on top. I know this sounds like an over-simplification, but it’s meant to reflect the accuracy of the kind of big-picture approach I’m employing. You’ll be surprised by how much you can learn from studying box-shaped ships.\n\n<center>![pexels-photo-761999-2.jpg](https://steemitimages.com/DQmPnBM5RNpqA4dwEQoMwCmmG3o6SXGRjRa4ebNUioYPkin/pexels-photo-761999-2.jpg)\n<i>Hey, look, a carton ship!</i></center>\n\nThe first thing to notice here, is that sailing ships can, *at best*, go as fast as the wind is blowing. Judging from personal experience, I’d say typical wind-speeds are *v*<sub>wind</sub> ~ 5 cm/s ~ 10 km/h. This seems to supported by [some evidence](https://www.currentresults.com/Weather/Netherlands/wind-speed-annual.php), at least. Generally speaking, a ship cruising at a constant speed *v*<sub>ship</sub> is always under the influence of two counteracting forces: the force exerted by the wind on the sails, and the [drag force](https://en.wikipedia.org/wiki/Drag_equation) from the water on the submerged part of the ship. Equating these two forces, and assuming most of the ship is submerged, yields\n\n<center><i>v</i><sub>ship</sub> ~ √(<i>ρ</i><sub>air</sub>/<i>ρ</i><sub>water</sub>)·<i>v</i><sub>wind</sub> ~ 1 km/h,  &nbsp;&nbsp;&nbsp;&nbsp; (1)</center>\n\nwhere <i>ρ</i><sub>air</sub> ~ 1 kg/m<sup>3</sup> and <i>ρ</i><sub>water</sub> ~ 10<sup>3</sup> kg/m<sup>3</sup> are the density of air and water, respectively. The above is, of course, only meant as an estimate; in reality, (1) is probably a **lower limit** on what a sailing ship can do. In fact, one obvious thing you can do to increase *v*<sub>ship</sub> is give the ship an elongated shape, so that the drag force by the water is reduced. In any case, let’s just take *v*<sub>ship</sub> ~ 5 km/h as a reasonable compromise.\n\n<center>![pexels-photo-714699-2.jpg](https://steemitimages.com/DQmcwQ4gA4bRysxpn1eCeW2A1U8pX4zoiqDaKgXN5XMY7BT/pexels-photo-714699-2.jpg)\n<i>If (1) looks like Einstein’s relativity, you should stop reading...</i></center>\n\nSince we’re interested in sea exploration and colonization, our imaginary ship needs to travel over a good fraction of the earth’s circumference (40,000 km or so); let’s say ~ 10,000 km. With a speed of ~ 5 km/h, this can be achieved in 2,000 hours or so, which is like an entire season worth of traveling. Which, if you’re even vaguely familiar with the relevant history, is indeed what people had to deal with back then. Remember that before complaining to the whole world about your flights that are delayed or too long.\n\n<center>![pexels-photo-91217-2.jpg](https://steemitimages.com/DQmTK8VXZjsf2s1Eiv2LkoBbhVoME7pGSgGTSWPhfxKxrEn/pexels-photo-91217-2.jpg)\n<i>Next time you enjoy such a view, remember to be grateful</i></center>\n\nSince we’re talking about an age of colonization, we want our ship to carry a few families and probably just as many crew members, so on the order of 50 passengers in total. Assuming each person requires daily provisions (food and water, mostly) of about 5 kg, I’ll be conservative and say our ship should be able to carry a cargo of ~ 100 tons. That’s like a herd of African bush elephants, so you **know** our imaginary ship has to be big.\n\n<center>![elephants-africa-amboseli-animal-50611-2.jpg](https://steemitimages.com/DQmf3mNHx9CE3ygdQxHjQwR1Jgu3U41kHoEwev79J4Pa3uB/elephants-africa-amboseli-animal-50611-2.jpg)\n<i>If you want to colonize earth, you need a ship that can carry them</i></center>\n\nTo see exactly how big our imaginary ship needs to be to carry all that stuff, we have to do a little more physics: For our ship to remain afloat, *buoyancy* (i.e., the weight of the displaced water) must always balance its net weight, *W*<sub>ship</sub> (hull + crew + provisions). Assuming the hull’s weight is, at worst, comparable to our previous estimate (so that *W*<sub>ship</sub> ~ 100 tons), we get\n\n<center><i>L</i> ≳ (<i>W</i><sub>ship</sub>/<i>ρ</i><sub>water</sub>)<sup>1/3</sup> ~ 5 m. &nbsp;&nbsp;&nbsp;&nbsp; (2)</center>\n\nThe only potential problem with our calculation is that *W*<sub>hull</sub> may be significantly larger than 100 tons, contrary to what we assumed to derive (2). To test this, we’ll say the hull is a cubic shell of thickness *t* ~ 10 cm; since wood floats its density is comparable to that of water, so *W*<sub>hull</sub> ~ 6·*L*<sup>2</sup>·*t*·*ρ*<sub>water</sub> ≳ 10 tons. Our calculations are therefore self-consistent, even if ships had ridiculously high thicknesses (*t* ~ 1 m).\n\n<center>![blue-float-water-bark-2.jpg](https://steemitimages.com/DQmPmNsNWMoZ2hQHP95gTTSknFNmopLvYGwJqTVGsQ4wxea/blue-float-water-bark-2.jpg)\n<i>Ignoring surface tension and demonic clowns, everything floats for the same reason</i></center>\n\nBy now, certain aspects of European sea exploration shouldn’t be as mysterious anymore. In particular, it shouldn’t come as a surprise that European explorers used huge ships that sailed with the seasons to cross oceans. All these things, including size and cargo weight, are remarkably well-constrained by simple physical principles. **History isn’t just a bunch of random events; a good chunk of it was determined by the laws of nature.**",
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