INVITE-ONLY SCRIPT
已更新 BTC Power Law Spirals by G. Santostasi
This script is based on G. Santostasi's Power Law Spiral Clock.
The Power Law Clock is a projection in polar coordinates of the Power Law Model of BTC price normalized to its natural periodicity of 4 years.
The Power Law model is derived by fitting the price of BTC in a log-log chart assuming that it has a long-term Polar Law Behavior. Using regression it is possible to extract the slope n (that is also the power of the power law) and the y-intercept. These parameters can be used to define a Power Law spiral of the form rho=A*theta^n, where theta is the time in days from the Genesis block normalized to the 4-year cycle.
The script represents 2 models the simple Power Law Spiral as defined above and a more full model with 3 components:
1) A power law trend that is adjusted to 2 standard deviations from the median Power Law trend. This is done on the basis that the historical bottoms happen to coincide with this particular deviation from the trend.
2) A sinusoidal pulsating function that has a 4-year periodicity and is synchronized to the top of the first of the periodic BTC bubble.
3) An exponential decay fitted to the 3 observed bubbles to represent the empirical decay of the amplitude of these oscillations relative to the trend.
This full model is also represented as a "stretched spiral" in a polar graph.
Finally, given we want to represent the circular path of BTC in a linear graph we took the sine projection of the x and y polar coordinates of the simple model, the full model, and the daily price of BTC.
The usefulness of this script is that it represents in a single graph both the Power Law behavior of BTC but also its cyclic nature. Each quadrant of the spiral clock coincides with a precise market phase with 0 o'clock being the top, 3 o'clock being the bottom, 6 o'clock being the transition from the bear market to the bull market and 9 o'clock being the start of the full bull market.
It is recommended to use this oscillator together with the "Adaptive Power Law Fitting by G. Santostasi" TV indicator.
The Power Law Clock is a projection in polar coordinates of the Power Law Model of BTC price normalized to its natural periodicity of 4 years.
The Power Law model is derived by fitting the price of BTC in a log-log chart assuming that it has a long-term Polar Law Behavior. Using regression it is possible to extract the slope n (that is also the power of the power law) and the y-intercept. These parameters can be used to define a Power Law spiral of the form rho=A*theta^n, where theta is the time in days from the Genesis block normalized to the 4-year cycle.
The script represents 2 models the simple Power Law Spiral as defined above and a more full model with 3 components:
1) A power law trend that is adjusted to 2 standard deviations from the median Power Law trend. This is done on the basis that the historical bottoms happen to coincide with this particular deviation from the trend.
2) A sinusoidal pulsating function that has a 4-year periodicity and is synchronized to the top of the first of the periodic BTC bubble.
3) An exponential decay fitted to the 3 observed bubbles to represent the empirical decay of the amplitude of these oscillations relative to the trend.
This full model is also represented as a "stretched spiral" in a polar graph.
Finally, given we want to represent the circular path of BTC in a linear graph we took the sine projection of the x and y polar coordinates of the simple model, the full model, and the daily price of BTC.
The usefulness of this script is that it represents in a single graph both the Power Law behavior of BTC but also its cyclic nature. Each quadrant of the spiral clock coincides with a precise market phase with 0 o'clock being the top, 3 o'clock being the bottom, 6 o'clock being the transition from the bear market to the bull market and 9 o'clock being the start of the full bull market.
It is recommended to use this oscillator together with the "Adaptive Power Law Fitting by G. Santostasi" TV indicator.
版本注释
This script is based on G. Santostasi's Power Law Spiral Clock.The Power Law Clock is a projection in polar coordinates of the Power Law Model of BTC price normalized to its natural periodicity of 4 years.
The Power Law model is derived by fitting the price of BTC in a log-log chart assuming that it has a long-term Polar Law Behavior. Using regression it is possible to extract the slope n (that is also the power of the power law) and the y-intercept. These parameters can be used to define a Power Law spiral of the form rho=A*theta^n, where theta is the time in days from the Genesis block normalized to the 4-year cycle.
The script represents 2 models the simple Power Law Spiral as defined above and a more full model with 3 components:
1) A power law trend that is adjusted to 2 standard deviations from the median Power Law trend. This is done on the basis that the historical bottoms happen to coincide with this particular deviation from the trend.
2) A sinusoidal pulsating function that has a 4-year periodicity and is synchronized to the top of the first of the periodic BTC bubble.
3) An exponential decay fitted to the 3 observed bubbles to represent the empirical decay of the amplitude of these oscillations relative to the trend.
This full model is also represented as a "stretched spiral" in a polar graph.
Finally, given we want to represent the circular path of BTC in a linear graph we took the sine projection of the x and y polar coordinates of the simple model, the full model, and the daily price of BTC.
The usefulness of this script is that it represents in a single graph both the Power Law behavior of BTC but also its cyclic nature. Each quadrant of the spiral clock coincides with a precise market phase with 0 o'clock being the top, 3 o'clock being the bottom, 6 o'clock being the transition from the bear market to the bull market and 9 o'clock being the start of the full bull market.
It is recommended to use this oscillator together with the "Adaptive Power Law Fitting by G. Santostasi" TV indicator.
仅限邀请脚本
只有经作者批准的用户才能访问此脚本。您需要申请并获得使用权限。该权限通常在付款后授予。如需了解更多详情，请按照以下作者的说明操作，或直接联系Quantonomyfund。
请注意，此私密的、仅限受邀者使用的脚本尚未经过脚本管理员的审核，并且不确定它是否符合网站规则。 除非您完全信任其作者并了解脚本的工作原理，否則TradingView不建议您付费或使用脚本。您还可以在我们的社区脚本中找到免费的开源替代方案。
作者的说明
This is an invite-only script for the Power Law Discord group members. Full instructions are present on the Discord channel.
A dark theme is preferred to render the graph.
It is best to use in conjunction with the Adaptive Power Law Fitting indicator.
提醒：在请求访问权限之前，请阅读仅限邀请脚本指南。
免责声明
这些信息和出版物并不意味着也不构成TradingView提供或认可的金融、投资、交易或其它类型的建议或背书。请在使用条款阅读更多信息。
仅限邀请脚本
只有经作者批准的用户才能访问此脚本。您需要申请并获得使用权限。该权限通常在付款后授予。如需了解更多详情，请按照以下作者的说明操作，或直接联系Quantonomyfund。
请注意，此私密的、仅限受邀者使用的脚本尚未经过脚本管理员的审核，并且不确定它是否符合网站规则。 除非您完全信任其作者并了解脚本的工作原理，否則TradingView不建议您付费或使用脚本。您还可以在我们的社区脚本中找到免费的开源替代方案。
作者的说明
This is an invite-only script for the Power Law Discord group members. Full instructions are present on the Discord channel.
A dark theme is preferred to render the graph.
It is best to use in conjunction with the Adaptive Power Law Fitting indicator.
提醒：在请求访问权限之前，请阅读仅限邀请脚本指南。
免责声明
这些信息和出版物并不意味着也不构成TradingView提供或认可的金融、投资、交易或其它类型的建议或背书。请在使用条款阅读更多信息。