Normalized Adaptive Trend Lines [MAMA and FAMA]These indicators was originally developed by John F. Ehlers (Stocks & Commodities V. 19:10: MESA Adaptive Moving Averages). Everget wrote the initial functions for these in pine script. I have simply normalized the indicators and chosen to use the Laplace transformation instead of the hilbert transformation
How the Indicator Works:
The indicator employs a series of complex calculations, but we'll break it down into key steps to understand its functionality:
LaplaceTransform: Calculates the Laplace distribution for the given src input. The Laplace distribution is a continuous probability distribution, also known as the double exponential distribution. I use this because of the assymetrical return profile
MESA Period: The indicator calculates a MESA period, which represents the dominant cycle length in the price data. This period is continuously adjusted to adapt to market changes.
InPhase and Quadrature Components: The InPhase and Quadrature components are derived from the Hilbert Transform output. These components represent different aspects of the price's cyclical behavior.
Homodyne Discriminator: The Homodyne Discriminator is a phase-sensitive technique used to determine the phase and amplitude of a signal. It helps in detecting trend changes.
Alpha Calculation: Alpha represents the adaptive factor that adjusts the sensitivity of the indicator. It is based on the MESA period and the phase of the InPhase component. Alpha helps in dynamically adjusting the indicator's responsiveness to changes in market conditions.
MAMA and FAMA Calculation: The MAMA and FAMA values are calculated using the adaptive factor (alpha) and the input price data. These values are essentially adaptive moving averages that aim to capture the current trend more effectively than traditional moving averages.
But Omar, why would anyone want to use this?
The MAMA and FAMA lines offer benefits:
The indicator offers a distinct advantage over conventional moving averages due to its adaptive nature, which allows it to adjust to changing market conditions. This adaptability ensures that investors can stay on the right side of the trend, as the indicator becomes more responsive during trending periods and less sensitive in choppy or sideways markets.
One of the key strengths of this indicator lies in its ability to identify trends effectively by combining the MESA and MAMA techniques. By doing so, it efficiently filters out market noise, making it highly valuable for trend-following strategies. Investors can rely on this feature to gain clearer insights into the prevailing trends and make well-informed trading decisions.
This indicator is primarily suppoest to be used on the big timeframes to see which trend is prevailing, however I am not against someone using it on a timeframe below the 1D, just be careful if you are using this for modern portfolio theory, this is not suppoest to be a mid-term component, but rather a long term component that works well with proper use of detrended fluctuation analysis.
Dont hesitate to ask me if you have any questions
Again, I want to give credit to Everget and ChartPrime! Indicator

MTF SuperTrends Nexus [DarkWaveAlgo]🧾 Description:
A nexus is a connection, link, or neuronal junction where signals and information are transmitted between different elements.
The MTF SuperTrends Nexus indicator serves as a nexus between MTF SuperTrends by facilitating the visualization of up to eight multi-timeframe SuperTrends, each with its own customizable timeframe, period, factor, and coloring customization. By combining these various SuperTrends, it helps you create a comprehensive view of MTF trend dynamics and cross-timeframe confluence according to the SuperTrend indicator.
It acts as a utility/control center that brings together multiple MTF SuperTrends and allows you to visualize the interactions between them with exceptional ease-of-use and customizability, helping to provide you with valuable insights into potential trend reversals, momentum shifts, and trading opportunities.
💡 Originality and Usefulness:
While there are other multi-timeframe SuperTrend indicators available, MTF SuperTrends Nexus' semi-transparent fills create a compounding opaqueness when SuperTrends from multiple timeframes coalesce - making visual assessment of cross-timeframe confluence extremely easy. We also believe it stands above the rest with its sheer quantity and quality of settings, features, and usability.
✔️ Re-Published to Avoid Misleading Values
This script has been re-published to ensure that it does not use `request.security()` calls using lookahead_on to access future data when referencing SuperTrend calculations from other timeframes. This decreases the likelihood that the indicator will provide deceiving values. This change has been made in accordance with the PineScript documentation: "Using barmerge.lookahead_on at timeframes higher than the chart's without offsetting the `expression` argument like in `close [ ]` will introduce future leak in scripts, as the function will then return the `close` price before it is actually known in the current context" and the Publishing Rule: "Do not use `request.security()` calls using lookahead to access future data". Historical and real-time values may differ when referencing timeframes other than the chart's.
💠 Features:
8 toggleable MTF SuperTrends with customizable timeframes, periods, and factors
Compounding filled areas for easy MTF SuperTrend confluence analysis
Aesthetic and flexible coloring and color theme styling options
End-of chart labels and options for ease-of-use and legibility
⚙️ Settings:
Use a Color Theme: When this setting is enabled, all manual 'Bullish and Bearish Colors' are overridden. All plots will use the colors from your selected Color Theme - excepting those plots set to use the 'Single Color' coloring method.
Color Theme: When 'Use a Color Theme' is enabled, this setting allows you to select the color theme you wish to use.
Fill SuperTrend Areas: When enabled, the area between any MTF SuperTrend and the price bars will be filled with semi-transparent coloring.
Hide SuperTrends on Timeframes Lower Than the Chart: When this setting is enabled, any MTF SuperTrend with a timeframe smaller than that of the chart the indicator is applied to will be hidden from view.
Enable: Show/hide a specific MTF SuperTrend.
Timeframe: Set the timeframe for a specific MTF SuperTrend.
Period: Set the lookback period for a specific MTF SuperTrend.
Factor: Set the multiplier factor used for a specific MTF SuperTrend's calculation.
Bullish Color: When 'Use a Color Theme' is disabled, this will set the 'bullish color' for this specific MTF SuperTrend.
Bearish Color: When 'Use a Color Theme' is disabled, this will set the 'bearish color' for this specific MTF SuperTrend.
Enable Label: When enabled, a label will show at the end of the chart displaying the timeframe, period, factor, and current price value of this specific MTF SuperTrend.
Size: Sets the font size of this specific MTF SuperTrend's label.
Label Offset (in Bars): Sets the distance from the latest bar, in bars, at which this specific MTF SuperTrend's label is displayed.
Show Label Line: When enabled, this specific MTF SuperTrend's label will be accommodated by a dashed line connecting it to its plot.
📈 Chart:
The chart shown in this original publication displays the 5 minute chart on BTCUSDT. Displayed on the chart are 6 MTF SuperTrends: the 5m 50-period/3-factor SuperTrend, 15m 50-period/3-factor SuperTrend, 30m 50-period/3-factor SuperTrend, 1h 50-period/3-factor SuperTrend, 4h 50-period/3-factor SuperTrend, and the 1D 25-period/1.5-factor SuperTrend - offering an exemplary view of how you can easily use these MTF SuperTrends to your advantage in analyzing SuperTrend relationships across multiple timeframes. Indicator

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Trend Oscillatorwhat is "Trend Oscillator"?
it is an indicator for determining the trend.
what it does?
analyzes the price action by reducing it to 4 different situations. Red means strong bear, orange means bearish, yellow means weak bull and green means strong bull. It was developed to help traders who trade in the direction of the trend and its biggest promise is to simplify price action.
how it does it?
He defines 4 different situations as follows. If the velocity of the price is positive and the acceleration is positive, it is a strong bull, if the velocity is positive and the acceleration is negative, it is a weak bull, if the velocity is negative and the acceleration is positive, it is a weak bear, if both velocity and acceleration are negative, it is a strong bear.
2 for strong bull
1 for the weak bull
-1 for weak bear
Creates a function that takes values of -2 for the strong bear. this function is the velocity of the principal indicator, and then the integral of this function forms the principal indicator.
how to use it?
"source" is used to change the source of the indicator,
"length" makes the indicator give a later but less signal.
you can use it to follow or analyze the trend. colors make it easy to use. learns about current or past trends by looking at colors. Like any trend indicator, it can give unsuccessful signals in a horizontal trend. Indicator

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Average Band by HarmanUsually, Moving Averages (Simple & Exponential) consider "close" of each candle to form a line for a particular period. In this indicator, we have considered all the parameters (Open, Close, Low & High) of each candle to form a Band or a wave which act as a zone to provide support & resistance. It works well on all the time frames. It perfectly works on lower time frames of 15 min & 5 min for intraday trades and even for scalping. There is a line that moves very near to candles known as "Candle Line" provide support & resistance to each individual candle and a leading line which moves ahead also acts as support & resistance and helps in determining trend direction.
How to use the indicator ?
Indicator consists of 3 components :
1) A Band or wave of 3 lines (upper, middle & lower line)
2) A "Candle Line" which moves along with the candles
3) A Leading line which moves ahead of the candles
Method 1 : When candles are being formed above the candle line (line near to candles) and it crosses the band or wave from below to upside, then long trade can be initiated. Similarly, When candles are being formed below the Candle line and it crosses the band or wave from upside then short trade can be initiated. Stop loss can be maintained below the band for Long trade and above the band for short trade. Candle line can be used to trail the stop loss.
Method 2: If candles moves above and below of the band very often and frequently and candle line is in the middle of candles then it is NO TRADING ZONE. If you still want to trade, then select a higher time frame and check the price movement. If there is a stability in the higher time frame, then take the trade in the higher timeframe with stable movement.
Method 3 : Candle line acts as "First line of Defence". In a uptrend, all the candles are formed above the candle line and in case of down trend, all the candles are formed below the candle line. When a newly formed candle cross the candle line then you can book profit. For Example : In uptrend , candles are being formed above the line, when a new candle started forming below the line and when the complete candle is formed below the line, profit can be booked. Vice-versa in case of downtrend.
Method 4: Direction of leading line, band and candle line helps in determining the trend. If all these three components are in upward direction, price trend is upward and if all these three components are in downward direction, then price trend is downward. When, leading line and band cross each other from opposite direction for consecutive 2-3 times, then price movement is sideways.
Method 5 : Thickness of band play an important role in determining price action. If band is narrow, it means small candles are being formed and no any huge price movement is observed in this period. When band started expanding, it signifies that big candles are begin to form and there is a more price movement than before. Similarly, If contraction of band started, it means that small candles are being formed and there is low price movement as compared to the price movement when Band was expanded. If Band is expanded (wider) and volumes are high, It means the Band will act as strong Support or Resistance than usual. In case, candles and candle line cross the expanded Band, you can enter the Long or Short trade.
Method 6: When the Band, leading line and candle line collides or meet at a single point, then it is either strong support or resistance.
Method 7 : Usage in Scalping : Select the shorter time frame of 1 min or 5 min. If the candles are crossing the band very frequently in 1 min, then select 5 min time frame or wait for few minutes for stability. Now, when candles started forming above the candle line and it crosses the band from below then take a long position and book profit after few candles above the band. Place stop loss below the Band. Similarly, when candles started forming below the candle line and it crosses the band from above, then enter into short trade and book profit after few candles. Place stop loss above the band in the case of short trade.
You can combine above methods to give a sharp edge to your trade and increase the probability of your winning in the trade.
Indicator Settings : Default period selected is 50 for both the Band and leading line. You can change the period to 26 or 100 or 200. Select the period and check the chart, if the indicator looks fine and smooth, then you can use your settings. For most of the time, default settings work perfectly.
Proudly Developed by :
Harmandeep Singh
Graduate in Computer Science with Physics & Mathematics
MBA in Business Marketing and Finance
Experienced Computer programmer & Software developer
Stock Market & Crypto Trader
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