MonkeyBear68
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February 27, 2014, 07:36:35 PM |
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I consider myself more in the pessimist group in that I believe total network difficulty will continue to rise at 20% per 12 days for the next few months due to a similar increase in hash power. I am sure that we all (both pessimists and optimists) can agree on one thing - we all hope the optimists are correct and that hash power will level off sooner rather than later. ![Grin](https://bitcointalk.org/Smileys/default/grin.gif)
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Elvis Trout
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February 27, 2014, 07:38:50 PM |
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I don't think you understand exponential growth, I mean it's right there in your description.
"Exponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function's current value"
The 20% that is added each time is not 20% of the original amount, but 20% of the current value.
Sure exponential means 'to the power of' but you can have indices of less than one, or of decimal values. 120% is approximately the same as saying ^1.04
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karol
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February 27, 2014, 08:08:53 PM |
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Cryptyx any update about gear which should be deployed this week?
From announcement:
4 Terra 62 Coincraft Desks
It is more than was started in previous week.
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rdyoung
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February 27, 2014, 08:51:19 PM |
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I don't think you understand exponential growth, I mean it's right there in your description.
"Exponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function's current value"
The 20% that is added each time is not 20% of the original amount, but 20% of the current value.
Sure exponential means 'to the power of' but you can have indices of less than one, or of decimal values. 120% is approximately the same as saying ^1.04
Wow, Just wow. As I posted, exponents are powers of said #. From google. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g., 3 in 2 3 = 2 × 2 × 2). For the network to have grown exponentially from say 2phs would put it at 4phs, but if you look at the growth history, that didn't happen. And if it grew exponentially from 10phs it would now be 100phs. Math is not something that is subjective, defining exponential is not the same as defining the word "is". This might be easier for you to understand. http://www.mathsisfun.com/algebra/exponential-growth.html
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trek27
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February 27, 2014, 08:59:06 PM Last edit: February 27, 2014, 10:10:56 PM by trek27 |
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I consider myself more in the pessimist group in that I believe total network difficulty will continue to rise at 20% per 12 days for the next few months due to a similar increase in hash power. I am sure that we all (both pessimists and optimists) can agree on one thing - we all hope the optimists are correct and that hash power will level off sooner rather than later. ![Grin](https://bitcointalk.org/Smileys/default/grin.gif) Probably all of us agree that current very quick rise in difficulty is unsustainable in the long run. And if something can't happen then it won't - it's that simple ![Wink](https://bitcointalk.org/Smileys/default/wink.gif) We don't have to know what and when exactly will give up but something will and the rise will slowdown - that is practically a certainty. But first the network will have to absorb all the hardware based on new chips. So substantial rise is still ahead of us. By the way, interesting if someone receiving Terraminer at the end of June will be able to ROI in btc terms.
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MonkeyBear68
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February 27, 2014, 09:21:01 PM Last edit: February 27, 2014, 11:02:26 PM by MonkeyBear68 |
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Exponential growth of 20% each period simply means you multiple the previous value by 1.2. We can call it geometric growth if you like to avoid confusion, as opposed to linear growth which is simply adding the same amount of power each week (100 + 20 + 20 + 20 + 20....). For exponential growth you can have a fractional value as the base and still have exponential growth. Thus if we take current value as 100, the next difficulty would be 1.2 * 100 = 120. The one after that is 1.2 * 120 = 144. Since order is not important in multiplication we could simply write it as 1.2 * 1.2 * 100 = 144. We could also use power notation 1.2^2 to get the value after the second adjustment: 1.2^2 * 100 = 144. Since difficulty has been going up 20% every 12 days we simply need to calculate how many 12 day periods there are between now and the beginning of June. If you look at a calendar you will see there will be 8 difficulty adjustments between now and beginning of June. 1.2^8 = 4.2998 This means that whatever the current difficulty is, it will be roughly 4 times higher after 8 difficulty periods. Since difficulty reflects hash power we will also be at roughly 4 times the current hash rate by the beginning of June. The reciprocal of the result also indicates how much we can expect as a payout in terms of todays value. In this case it is 1/4, which is 25%!! I agree with you and everyone else in that I hope difficulty will abate sooner rather than later. Lately in terms of hash power that has not been the case as shown in the following graph of real time stats: https://blockchain.info/charts/hash-rate
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Elvis Trout
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February 27, 2014, 09:32:41 PM |
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I don't think you understand exponential growth, I mean it's right there in your description.
"Exponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function's current value"
The 20% that is added each time is not 20% of the original amount, but 20% of the current value.
Sure exponential means 'to the power of' but you can have indices of less than one, or of decimal values. 120% is approximately the same as saying ^1.04
Wow, Just wow. As I posted, exponents are powers of said #. From google. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g., 3 in 2 3 = 2 × 2 × 2). For the network to have grown exponentially from say 2phs would put it at 4phs, but if you look at the growth history, that didn't happen. And if it grew exponentially from 10phs it would now be 100phs. Math is not something that is subjective, defining exponential is not the same as defining the word "is". This might be easier for you to understand. http://www.mathsisfun.com/algebra/exponential-growth.htmlWow, just wow. Even in the examples on the website you kindly proffered me there was an exponent <1. What you seem to be saying is that exponential means 'to the power of 2.' The examples you gave being 2^2=4 and 10^2=100 Secondly you are confusing an exponential function or exponent with exponential growth Lets go allll the way back to the definition you first gave (but somehow still don't understand). "Exponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function's current value" Does it say 'Exponential growth occurs when the growth rate of the value of a mathematical function is the square of the function's current value'? NO! What it says is simply that the growth rate is proportional to the current value. Lets do an example to help you out. My beans grow at an amazing exponential rate of 50% in length per day. They start off at 10cm. After day 1 they have grown 5cm. With me so far? Now here's where it gets exponential, for day 2: instead of adding another 5cm, we use 150% of the current length which is 15cm now, so they grow 7.5cm (not 5cm) and end up at 22.5cm. That's what exponential growth is. The fact that you use the current value. The actual growth rate itself doesn't matter, it can be ^2 as you seem to be fond of, it can by ^1/2 or ^-3,000, all that matters is that you use the current value in your calculation rather than the original value. I'm sorry I was a dick about this, but I was simply mirroring your demeanour.
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trek27
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February 27, 2014, 09:40:21 PM |
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.... This means that whatever the current difficulty is, it will be roughly 4 times higher after 8 difficulty periods. Since difficulty reflects hash power we will also be at roughly 4 times the current hash rate by the beginning of June. The reciprocal of the result also indicates how much we can expect as a payout in terms of todays value. In this case it is 1/4, which is 25%!!
The statement about payout is true in case for example of a 'mining contract' with constant hash rate. Peta's share is not such case. This exactly is why very effective reinvestment strategy is necessary for long term success. Someone have to mine all those bitcoins whatever the diffculty. The trick is to be 'ahead of the curve'.
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Darkstone2
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February 27, 2014, 09:49:28 PM |
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I don't think you understand exponential growth, I mean it's right there in your description.
"Exponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function's current value"
The 20% that is added each time is not 20% of the original amount, but 20% of the current value.
Sure exponential means 'to the power of' but you can have indices of less than one, or of decimal values. 120% is approximately the same as saying ^1.04
Wow, Just wow. As I posted, exponents are powers of said #. From google. a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g., 3 in 2 3 = 2 × 2 × 2). For the network to have grown exponentially from say 2phs would put it at 4phs, but if you look at the growth history, that didn't happen. And if it grew exponentially from 10phs it would now be 100phs. Math is not something that is subjective, defining exponential is not the same as defining the word "is". This might be easier for you to understand. http://www.mathsisfun.com/algebra/exponential-growth.htmlHe is correct about you not understanding what exponential growth means. Exponential growth means that the value at some point in time t is equal to initial value * p^t where P is the growth rate. In my case, P is 1.8 (= 80%) and t is the number of months elapsed. Your post is an example of quadratic growth. Which is a special case when p = 2. One day ago i said that i don't understand this fund, but now i do. People that invest in this fund are optimistic about the future growth of the difficulty. Given the current historic data, i believe that is a mistake. The google docs document does various calculations with an growth rate of about 25% per month (about 10.1% each difficulty retarget, the current schedue for the next retarget is 20%) without providing any justification of that number. Only time can tell how right or wrong that number is. I consider myself more in the pessimist group in that I believe total network difficulty will continue to rise at 20% per 12 days for the next few months due to a similar increase in hash power. I am sure that we all (both pessimists and optimists) can agree on one thing - we all hope the optimists are correct and that hash power will level off sooner rather than later. ![Grin](https://bitcointalk.org/Smileys/default/grin.gif) Probably all of us agree that current very quick rise in difficulty is unsustainable in the long run. And if something can't happen then it won't - it's that simple ![Wink](https://bitcointalk.org/Smileys/default/wink.gif) I think that both of you do not understand the impact of that statment. The network hashrate is directly linked to the bitcoin price. As long as the bitcoin price keeps rising the way it is, the network hashrate growth will not slow down in the long run.
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ujka
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February 27, 2014, 09:56:57 PM |
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The network hashrate is directly linked to the bitcoin price. As long as the bitcoin price keeps rising the way it is, the network hashrate growth will not slow down I agree on that - will not slow down. But I also think it won't continue to grow at that constant exponential rate (for long run ![Wink](https://bitcointalk.org/Smileys/default/wink.gif) .
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trek27
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February 27, 2014, 10:02:10 PM |
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I think that both of you do not understand the impact of that statment. The network hashrate is directly linked to the bitcoin price. As long as the bitcoin price keeps rising the way it is, the network hashrate growth will not slow down in the long run.
Btc/usd exchange rate is just one more factor in the puzzle which could 'give up' - as any other like for example speed at which new more efficient chips are introduced. What's more a lot depends on how you define 'long run'. Surely, before writing 'you do not understand' try to read carefully what others say.
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Darkstone2
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February 27, 2014, 10:23:49 PM |
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I think that both of you do not understand the impact of that statment. The network hashrate is directly linked to the bitcoin price. As long as the bitcoin price keeps rising the way it is, the network hashrate growth will not slow down in the long run.
as any other like for example speed at which new more efficient chips are introduced. We already know that that is not a factor until at least 20nm. Let me put it another way, a stagnation of the network hashrate growth is mutually exclusive to the continued exponential growth of the bitcoin price. Only one of these two things can happen.
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trek27
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February 27, 2014, 10:36:44 PM |
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Let me put it another way, a stagnation of the network hashrate growth is mutually exclusive to the continued exponential growth of the bitcoin price.
Yes, it's true - but never seen someone claiming the opposite (at least on this thread ![Grin](https://bitcointalk.org/Smileys/default/grin.gif) ) And, please, stop cherry picking phrases (no fragments of phrases!) in the way that suggests different sens of someones statements.
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dhenson
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February 27, 2014, 11:01:19 PM |
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Does it bother anyone else when people post under the guize of a new account?
Your message would carry more weight if you were to post your thoughts on your main. (Darkstone2)
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Darkstone2
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February 27, 2014, 11:17:51 PM |
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This is my main. The username i use on most forums was already taken. I have no more than one account on bitcointalk. (nor anywhere else).
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MonkeyBear68
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February 27, 2014, 11:18:18 PM |
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<Daydream> A tiny mischievous monkey sneaks into chip mining labs and inserts tiny very limited range EM pulse generators into all chips but those destined for PETA. The timer is set for May 1. On May 1 all of a sudden PETA is mining at 4800 BTC at day ![Shocked](https://bitcointalk.org/Smileys/default/shocked.gif) , and others have expensive space heaters. ![Roll Eyes](https://bitcointalk.org/Smileys/default/rolleyes.gif) </Daydream>
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JstnPwll
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February 27, 2014, 11:51:38 PM |
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If we don't get some more hardware hashing soon, the tension is likely to trigger an outbreak of math. Complete with vicious drive-by definitions and wanton use of unregistered equations.
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Developer, entrepreneur, idea-seeker. BTC: 14MP75VG3Nf53pSEjowmA9gVPVvEvNpabz
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dhenson
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February 28, 2014, 12:21:02 AM |
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If we don't get some more hardware hashing soon, the tension is likely to trigger an outbreak of math. Complete with vicious drive-by definitions and wanton use of unregistered equations.
I have to admit, I am continuously amazed by shareholder ability to become addicted to updates. We've been spoiled lately, the flood of good news has been intoxicating. Let us not anger the barman with drinks in hand.
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trek27
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February 28, 2014, 01:16:45 PM |
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New miners coming online ![Smiley](https://bitcointalk.org/Smileys/default/smiley.gif)
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ujka
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February 28, 2014, 01:25:59 PM |
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New miners coming online ![Smiley](https://bitcointalk.org/Smileys/default/smiley.gif) ![Smiley](https://bitcointalk.org/Smileys/default/smiley.gif) Nice. But such a strange numbering scheme for workers. Hard to keep count of what's new.
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