Python Volatility-Based Catapult Indicator

As a catapult, this technical indicator uses three systems: Volatility (the fulcrum), Momentum (the propeller), and a Directional Filter (Acting as the support). The goal is to get a signal that predicts volatility acceleration and direction based on historical patterns. We want to know when the market will move. and where. This indicator outperforms standard indicators.

Knowledge must be accessible to everyone. This is why my new publications Contrarian Trading Strategies in Python and Trend Following Strategies in Python now include free PDF copies of my first three books (Therefore, purchasing one of the new books gets you 4 books in total). GitHub-hosted advanced indications and techniques are in the two new books above.

The Foundation: Volatility

The Catapult predicts significant changes with the 21-period Relative Volatility Index.

The Average True Range, Mean Absolute Deviation, and Standard Deviation all assess volatility. Standard Deviation will construct the Relative Volatility Index.

Standard Deviation is the most basic volatility. It underpins descriptive statistics and technical indicators like Bollinger Bands. Before calculating Standard Deviation, let's define Variance.

Variance is the squared deviations from the mean (a dispersion measure). We take the square deviations to compel the distance from the mean to be non-negative, then we take the square root to make the measure have the same units as the mean, comparing apples to apples (mean to standard deviation standard deviation). Variance formula:

As stated, standard deviation is:

# The function to add a number of columns inside an array
def adder(Data, times):
    
    for i in range(1, times + 1):
    
        new_col = np.zeros((len(Data), 1), dtype = float)
        Data = np.append(Data, new_col, axis = 1)
        
    return Data

# The function to delete a number of columns starting from an index
def deleter(Data, index, times):
    
    for i in range(1, times + 1):
    
        Data = np.delete(Data, index, axis = 1)
        
    return Data
    
# The function to delete a number of rows from the beginning
def jump(Data, jump):
    
    Data = Data[jump:, ]
    
    return Data

# Example of adding 3 empty columns to an array
my_ohlc_array = adder(my_ohlc_array, 3)

# Example of deleting the 2 columns after the column indexed at 3
my_ohlc_array = deleter(my_ohlc_array, 3, 2)

# Example of deleting the first 20 rows
my_ohlc_array = jump(my_ohlc_array, 20)

# Remember, OHLC is an abbreviation of Open, High, Low, and Close and it refers to the standard historical data file

def volatility(Data, lookback, what, where):
    
  for i in range(len(Data)):

     try:

        Data[i, where] = (Data[i - lookback + 1:i + 1, what].std())
     except IndexError:
        pass
        
  return Data

The RSI is the most popular momentum indicator, and for good reason—it excels in range markets. Its 0–100 range simplifies interpretation. Fame boosts its potential.

The more traders and portfolio managers look at the RSI, the more people will react to its signals, pushing market prices. Technical Analysis is self-fulfilling, therefore this theory is obvious yet unproven.

RSI is determined simply. Start with one-period pricing discrepancies. We must remove each closing price from the previous one. We then divide the smoothed average of positive differences by the smoothed average of negative differences. The RSI algorithm converts the Relative Strength from the last calculation into a value between 0 and 100.

def ma(Data, lookback, close, where): 
    
    Data = adder(Data, 1)
    
    for i in range(len(Data)):
           
            try:
                Data[i, where] = (Data[i - lookback + 1:i + 1, close].mean())
            
            except IndexError:
                pass
            
    # Cleaning
    Data = jump(Data, lookback)
    
    return Data
def ema(Data, alpha, lookback, what, where):
    
    alpha = alpha / (lookback + 1.0)
    beta  = 1 - alpha
    
    # First value is a simple SMA
    Data = ma(Data, lookback, what, where)
    
    # Calculating first EMA
    Data[lookback + 1, where] = (Data[lookback + 1, what] * alpha) + (Data[lookback, where] * beta)    
 
    # Calculating the rest of EMA
    for i in range(lookback + 2, len(Data)):
            try:
                Data[i, where] = (Data[i, what] * alpha) + (Data[i - 1, where] * beta)
        
            except IndexError:
                pass
            
    return Datadef rsi(Data, lookback, close, where, width = 1, genre = 'Smoothed'):
    
    # Adding a few columns
    Data = adder(Data, 7)
    
    # Calculating Differences
    for i in range(len(Data)):
        
        Data[i, where] = Data[i, close] - Data[i - width, close]
     
    # Calculating the Up and Down absolute values
    for i in range(len(Data)):
        
        if Data[i, where] > 0:
            
            Data[i, where + 1] = Data[i, where]
            
        elif Data[i, where] < 0:
            
            Data[i, where + 2] = abs(Data[i, where])
            
    # Calculating the Smoothed Moving Average on Up and Down
    absolute values        
                             
    lookback = (lookback * 2) - 1 # From exponential to smoothed
    Data = ema(Data, 2, lookback, where + 1, where + 3)
    Data = ema(Data, 2, lookback, where + 2, where + 4)
    
    # Calculating the Relative Strength
    Data[:, where + 5] = Data[:, where + 3] / Data[:, where + 4]
    
    # Calculate the Relative Strength Index
    Data[:, where + 6] = (100 - (100 / (1 + Data[:, where + 5])))  
    
    # Cleaning
    Data = deleter(Data, where, 6)
    Data = jump(Data, lookback)

    return Data

def relative_volatility_index(Data, lookback, close, where):

    # Calculating Volatility
    Data = volatility(Data, lookback, close, where)
    
    # Calculating the RSI on Volatility
    Data = rsi(Data, lookback, where, where + 1) 
    
    # Cleaning
    Data = deleter(Data, where, 1)
    
    return Data

The Arm Section: Speed

The Catapult predicts momentum direction using the 14-period Relative Strength Index.

As a reminder, the RSI ranges from 0 to 100. Two levels give contrarian signals:

• A positive response is anticipated when the market is deemed to have gone too far down at the oversold level 30, which is 30.

• When the market is deemed to have gone up too much, at overbought level 70, a bearish reaction is to be expected.

Comparing the RSI to 50 is another intriguing use. RSI above 50 indicates bullish momentum, while below 50 indicates negative momentum.

The direction-finding filter in the frame

The Catapult's directional filter uses the 200-period simple moving average to keep us trending. This keeps us sane and increases our odds.

Moving averages confirm and ride trends. Its simplicity and track record of delivering value to analysis make them the most popular technical indicator. They help us locate support and resistance, stops and targets, and the trend. Its versatility makes them essential trading tools.

This is the plain mean, employed in statistics and everywhere else in life. Simply divide the number of observations by their total values. Mathematically, it's:

We defined the moving average function above. Create the Catapult indication now.

Indicator of the Catapult

The indicator is a healthy mix of the three indicators:

• The first trigger will be provided by the 21-period Relative Volatility Index, which indicates that there will now be above average volatility and, as a result, it is possible for a directional shift.

• If the reading is above 50, the move is likely bullish, and if it is below 50, the move is likely bearish, according to the 14-period Relative Strength Index, which indicates the likelihood of the direction of the move.

• The likelihood of the move's direction will be strengthened by the 200-period simple moving average. When the market is above the 200-period moving average, we can infer that bullish pressure is there and that the upward trend will likely continue. Similar to this, if the market falls below the 200-period moving average, we recognize that there is negative pressure and that the downside is quite likely to continue.

lookback_rvi = 21
lookback_rsi = 14
lookback_ma  = 200
my_data = ma(my_data, lookback_ma, 3, 4)
my_data = rsi(my_data, lookback_rsi, 3, 5)
my_data = relative_volatility_index(my_data, lookback_rvi, 3, 6)

Two-handled overlay indicator Catapult. The first exhibits blue and green arrows for a buy signal, and the second shows blue and red for a sell signal.

The chart below shows recent EURUSD hourly values.

def signal(Data, rvi_col, signal):
    
    Data = adder(Data, 10)
        
    for i in range(len(Data)):
            
        if Data[i,     rvi_col] < 30 and \
           Data[i - 1, rvi_col] > 30 and \
           Data[i - 2, rvi_col] > 30 and \
           Data[i - 3, rvi_col] > 30 and \
           Data[i - 4, rvi_col] > 30 and \
           Data[i - 5, rvi_col] > 30:
               
               Data[i, signal] = 1
                           
    return Data

Signals are straightforward. The indicator can be utilized with other methods.

my_data = signal(my_data, 6, 7)

Lumiwealth shows how to develop all kinds of algorithms. I recommend their hands-on courses in algorithmic trading, blockchain, and machine learning.

Summary

To conclude, my goal is to contribute to objective technical analysis, which promotes more transparent methods and strategies that must be back-tested before implementation. Technical analysis will lose its reputation as subjective and unscientific.

After you find a trading method or approach, follow these steps:

• Put emotions aside and adopt an analytical perspective.

• Test it in the past in conditions and simulations taken from real life.

• Try improving it and performing a forward test if you notice any possibility.

• Transaction charges and any slippage simulation should always be included in your tests.

• Risk management and position sizing should always be included in your tests.

After checking the aforementioned, monitor the plan because market dynamics may change and render it unprofitable.

Mainstream economics haven't noticed.

What come to mind when I say the word "economics"?

Probably GDP, unemployment, and inflation.

If you've ever watched the news or listened to an economist, they'll use data like these to defend a political goal.

The issue is that these statistics are total bunk.

I'm being provocative, but I mean it:

• The economy is not measured by GDP.

• How many people are unemployed is not counted in the unemployment rate.

• Inflation is not measured by the CPI.

All orthodox economists' major economic statistics are either wrong or falsified.

Government institutions create all these stats. The administration wants to reassure citizens the economy is doing well.

GDP does not reflect economic expansion.

GDP measures a country's economic size and growth. It’s calculated by the BEA, a government agency.

The US has the world's largest (self-reported) GDP, growing 2-3% annually.

If GDP rises, the economy is healthy, say economists.

Why is the GDP flawed?

GDP measures a country's yearly spending.

The government may adjust this to make the economy look good.

GDP = C + G + I + NX

C = Consumer Spending

G = Government Spending

I = Investments (Equipment, inventories, housing, etc.)

NX = Exports minus Imports

GDP is a country's annual spending.

The government can print money to boost GDP. The government has a motive to increase and manage GDP.

Because government expenditure is part of GDP, printing money and spending it on anything will raise GDP.

They've done this. Since 1950, US government spending has grown 8% annually, faster than GDP.

In 2022, government spending accounted for 44% of GDP. It's the highest since WWII. In 1790-1910, it was 3% of GDP.

Who cares?

The economy isn't only spending. Focus on citizens' purchasing power or quality of life.

Since GDP just measures spending, the government can print money to boost GDP.

Even if Americans are poorer than last year, economists can say GDP is up and everything is fine.

How many people are unemployed is not counted in the unemployment rate.

The unemployment rate measures a country's labor market. If unemployment is high, people aren't doing well economically.

The BLS estimates the (self-reported) unemployment rate as 3-4%.

Why is the unemployment rate so high?

The US government surveys 100k persons to measure unemployment. They extrapolate this data for the country.

They come into 3 categories:

• Employed

People with jobs are employed … duh.

• Unemployed

People who are “jobless, looking for a job, and available for work” are unemployed

• Not in the labor force

The “labor force” is the employed + the unemployed.

The unemployment rate is the percentage of unemployed workers.

Problem is unemployed definition. You must actively seek work to be considered unemployed.

You're no longer unemployed if you haven't interviewed in 4 weeks.

This shit makes no goddamn sense.

Why does this matter?

You can't interview if there are no positions available. You're no longer unemployed after 4 weeks.

In 1994, the BLS redefined "unemployed" to exclude discouraged workers.

If you haven't interviewed in 4 weeks, you're no longer counted in the unemployment rate.

If unemployment were measured by total unemployed, it would be 25%.

Because the government wants to keep the unemployment rate low, they modify the definition.

If every US resident was unemployed and had no job interviews, economists would declare 0% unemployment. Excellent!

Inflation is not measured by the CPI.

The BLS measures CPI. This month was the highest since 1981.

CPI measures the cost of a basket of products across time. Food, energy, shelter, and clothes are included.

A 9.1% CPI means the basket of items is 9.1% more expensive.

What is the CPI problem?

Here's a more detailed explanation of CPI's flaws.

In summary, CPI is manipulated to be understated.

Housing costs are understated to manipulate CPI. Housing accounts for 33% of the CPI because it's the biggest expense for most people.

This signifies it's the biggest CPI weight.

Rather than using actual house prices, the Bureau of Labor Statistics essentially makes shit up. You can read more about the process here.

Surprise! It’s bullshit

The BLS stated Shelter's price rose 5.5% this month.

House prices are up 11-21%. (Source 1, Source 2, Source 3)

Rents are up 14-26%. (Source 1, Source 2)

Why is this important?

If CPI included housing prices, it would be 12-15 percent this month, not 9.1 percent.

9% inflation is nuts. Your money's value halves every 7 years at 9% inflation.

Worse is 15% inflation. Your money halves every 4 years at 15% inflation.

If everyone realized they needed to double their wage every 4-5 years to stay wealthy, there would be riots.

Inflation drains our money's value so the government can keep printing it.

The Solution

Most individuals know the existing system doesn't work, but can't explain why.

People work hard yet lag behind. The government lies about the economy's data.

In reality:

• GDP has been down since 2008

• 25% of Americans are unemployed

• Inflation is actually 15%

People might join together to vote out kleptocratic politicians if they knew the reality.

Having reliable economic data is the first step.

People can't understand the situation without sufficient information. Instead of immigrants or billionaires, people would blame liar politicians.

Here’s the vision:

A decentralized, transparent, and global dashboard that tracks economic data like GDP, unemployment, and inflation for every country on Earth.

Government incentives influence economic statistics.

ShadowStats has already started this effort, but the calculations must be transparent, decentralized, and global to be effective.

If interested, email me at trevorstark02@gmail.com.

Here are some links to further your research:

1. MIT Billion Prices Project

2. 1729 Decentralized Inflation Dashboard Project

3. Balaji Srinivasan on “Fiat Information VS. Crypto Information”

Python Heatmap Technical Indicator

Heatmaps provide an instant overview. They can be used with correlations or to predict reactions or confirm the trend in trading. This article covers RSI heatmap creation.

The Market System

Market regime:

• Bullish trend: The market tends to make higher highs, which indicates that the overall trend is upward.

• Sideways: The market tends to fluctuate while staying within predetermined zones.

• Bearish trend: The market has the propensity to make lower lows, indicating that the overall trend is downward.

Most tools detect the trend, but we cannot predict the next state. The best way to solve this problem is to assume the current state will continue and trade any reactions, preferably in the trend.

If the EURUSD is above its moving average and making higher highs, a trend-following strategy would be to wait for dips before buying and assuming the bullish trend will continue.

Indicator of Relative Strength

J. Welles Wilder Jr. introduced the RSI, a popular and versatile technical indicator. Used as a contrarian indicator to exploit extreme reactions. Calculating the default RSI usually involves these steps:

• Determine the difference between the closing prices from the prior ones.

• Distinguish between the positive and negative net changes.

• Create a smoothed moving average for both the absolute values of the positive net changes and the negative net changes.

• Take the difference between the smoothed positive and negative changes. The Relative Strength RS will be the name we use to describe this calculation.

• To obtain the RSI, use the normalization formula shown below for each time step.

The 13-period RSI and black GBPUSD hourly values are shown above. RSI bounces near 25 and pauses around 75. Python requires a four-column OHLC array for RSI coding.

import numpy as np
def add_column(data, times):
    
    for i in range(1, times + 1):
    
        new = np.zeros((len(data), 1), dtype = float)
        
        data = np.append(data, new, axis = 1)
    return data
def delete_column(data, index, times):
    
    for i in range(1, times + 1):
    
        data = np.delete(data, index, axis = 1)
    return data
def delete_row(data, number):
    
    data = data[number:, ]
    
    return data
def ma(data, lookback, close, position): 
    
    data = add_column(data, 1)
    
    for i in range(len(data)):
           
            try:
                
                data[i, position] = (data[i - lookback + 1:i + 1, close].mean())
            
            except IndexError:
                
                pass
            
    data = delete_row(data, lookback)
    
    return data
def smoothed_ma(data, alpha, lookback, close, position):
    
    lookback = (2 * lookback) - 1
    
    alpha = alpha / (lookback + 1.0)
    
    beta  = 1 - alpha
    
    data = ma(data, lookback, close, position)
    data[lookback + 1, position] = (data[lookback + 1, close] * alpha) + (data[lookback, position] * beta)
    for i in range(lookback + 2, len(data)):
        
            try:
                
                data[i, position] = (data[i, close] * alpha) + (data[i - 1, position] * beta)
        
            except IndexError:
                
                pass
            
    return data
def rsi(data, lookback, close, position):
    
    data = add_column(data, 5)
    
    for i in range(len(data)):
        
        data[i, position] = data[i, close] - data[i - 1, close]
     
    for i in range(len(data)):
        
        if data[i, position] > 0:
            
            data[i, position + 1] = data[i, position]
            
        elif data[i, position] < 0:
            
            data[i, position + 2] = abs(data[i, position])
            
    data = smoothed_ma(data, 2, lookback, position + 1, position + 3)
    data = smoothed_ma(data, 2, lookback, position + 2, position + 4)
    data[:, position + 5] = data[:, position + 3] / data[:, position + 4]
    
    data[:, position + 6] = (100 - (100 / (1 + data[:, position + 5])))
    data = delete_column(data, position, 6)
    data = delete_row(data, lookback)
    return data

Make sure to focus on the concepts and not the code. You can find the codes of most of my strategies in my books. The most important thing is to comprehend the techniques and strategies.

My weekly market sentiment report uses complex and simple models to understand the current positioning and predict the future direction of several major markets. Check out the report here:

Using the Heatmap to Find the Trend

RSI trend detection is easy but useless. Bullish and bearish regimes are in effect when the RSI is above or below 50, respectively. Tracing a vertical colored line creates the conditions below. How:

• When the RSI is higher than 50, a green vertical line is drawn.

• When the RSI is lower than 50, a red vertical line is drawn.

Zooming out yields a basic heatmap, as shown below.

Plot code:

def indicator_plot(data, second_panel, window = 250):
    fig, ax = plt.subplots(2, figsize = (10, 5))
    sample = data[-window:, ]
    for i in range(len(sample)):
        ax[0].vlines(x = i, ymin = sample[i, 2], ymax = sample[i, 1], color = 'black', linewidth = 1)  
        if sample[i, 3] > sample[i, 0]:
            ax[0].vlines(x = i, ymin = sample[i, 0], ymax = sample[i, 3], color = 'black', linewidth = 1.5)  
        if sample[i, 3] < sample[i, 0]:
            ax[0].vlines(x = i, ymin = sample[i, 3], ymax = sample[i, 0], color = 'black', linewidth = 1.5)  
        if sample[i, 3] == sample[i, 0]:
            ax[0].vlines(x = i, ymin = sample[i, 3], ymax = sample[i, 0], color = 'black', linewidth = 1.5)  
    ax[0].grid() 
    for i in range(len(sample)):
        if sample[i, second_panel] > 50:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'green', linewidth = 1.5)  
        if sample[i, second_panel] < 50:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'red', linewidth = 1.5)  
    ax[1].grid()
indicator_plot(my_data, 4, window = 500)

Call RSI on your OHLC array's fifth column. 4. Adjusting lookback parameters reduces lag and false signals. Other indicators and conditions are possible.

Another suggestion is to develop an RSI Heatmap for Extreme Conditions.

Contrarian indicator RSI. The following rules apply:

• Whenever the RSI is approaching the upper values, the color approaches red.

• The color tends toward green whenever the RSI is getting close to the lower values.

Zooming out yields a basic heatmap, as shown below.

Plot code:

import matplotlib.pyplot as plt
def indicator_plot(data, second_panel, window = 250):
    fig, ax = plt.subplots(2, figsize = (10, 5))
    sample = data[-window:, ]
    for i in range(len(sample)):
        ax[0].vlines(x = i, ymin = sample[i, 2], ymax = sample[i, 1], color = 'black', linewidth = 1)  
        if sample[i, 3] > sample[i, 0]:
            ax[0].vlines(x = i, ymin = sample[i, 0], ymax = sample[i, 3], color = 'black', linewidth = 1.5)  
        if sample[i, 3] < sample[i, 0]:
            ax[0].vlines(x = i, ymin = sample[i, 3], ymax = sample[i, 0], color = 'black', linewidth = 1.5)  
        if sample[i, 3] == sample[i, 0]:
            ax[0].vlines(x = i, ymin = sample[i, 3], ymax = sample[i, 0], color = 'black', linewidth = 1.5)  
    ax[0].grid() 
    for i in range(len(sample)):
        if sample[i, second_panel] > 90:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'red', linewidth = 1.5)  
        if sample[i, second_panel] > 80 and sample[i, second_panel] < 90:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'darkred', linewidth = 1.5)  
        if sample[i, second_panel] > 70 and sample[i, second_panel] < 80:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'maroon', linewidth = 1.5)  
        if sample[i, second_panel] > 60 and sample[i, second_panel] < 70:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'firebrick', linewidth = 1.5) 
        if sample[i, second_panel] > 50 and sample[i, second_panel] < 60:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'grey', linewidth = 1.5) 
        if sample[i, second_panel] > 40 and sample[i, second_panel] < 50:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'grey', linewidth = 1.5) 
        if sample[i, second_panel] > 30 and sample[i, second_panel] < 40:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'lightgreen', linewidth = 1.5)
        if sample[i, second_panel] > 20 and sample[i, second_panel] < 30:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'limegreen', linewidth = 1.5) 
        if sample[i, second_panel] > 10 and sample[i, second_panel] < 20:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'seagreen', linewidth = 1.5)  
        if sample[i, second_panel] > 0 and sample[i, second_panel] < 10:
            ax[1].vlines(x = i, ymin = 0, ymax = 100, color = 'green', linewidth = 1.5)
    ax[1].grid()
indicator_plot(my_data, 4, window = 500)

Dark green and red areas indicate imminent bullish and bearish reactions, respectively. RSI around 50 is grey.

Summary

To conclude, my goal is to contribute to objective technical analysis, which promotes more transparent methods and strategies that must be back-tested before implementation.

Technical analysis will lose its reputation as subjective and unscientific.

When you find a trading strategy or technique, follow these steps:

• Put emotions aside and adopt a critical mindset.

• Test it in the past under conditions and simulations taken from real life.

• Try optimizing it and performing a forward test if you find any potential.

• Transaction costs and any slippage simulation should always be included in your tests.

• Risk management and position sizing should always be considered in your tests.

After checking the above, monitor the strategy because market dynamics may change and make it unprofitable.

Effective: August 31, 2022

These Terms of Service ("Terms") govern your access to and use of INTΞGRITY’s (or "we") websites, mobile applications, and other online products and services (collectively, the "Services"). By clicking your assent (e.g. "Continue," "Sign-in," or "Sign-up") or by utilizing our Services, you consent to these Terms, including the mandatory arbitration provision and class action waiver in the Resolving Disputes; Binding Arbitration Section.

Our Privacy Policy describes how we gather and utilize your information, while our Rules detail your duties when utilizing our Services. You agree to be bound by these Terms and our Rules by utilizing our Services. Please refer to our Privacy Statement for details on how we collect, utilize, disclose, and otherwise manage your information.

Please contact us at hello@int3grity.com if you have any queries regarding these Terms or our Services.

Account Details and Responsibilities

You are responsible for your use of the Services and any content you contribute, including compliance with all relevant laws. The Services may host content that is protected by the intellectual property rights of third parties. Please do not copy, post, download, or distribute content without permission.

You must adhere to our Rules when using the Services.

To use any or all of our services, you may need to register for an account. Contribute to the protection of your account. Protect your account's password, and maintain accurate account details. We advise you not to share your password with anyone else.

If you are accepting these Terms and using the Services on behalf of someone else (such as another person or entity), you confirm that you are allowed to do so, and the words "you" or "your" in these Terms refer to that other person or entity.

You must be at least 13 years old to access our services.

If you use the Services to access, collect, or otherwise utilize the personal information of other INTΞGRITY users ("Personal Information"), you agree to comply with all applicable laws. You also undertake not to sell any Personal Information, where "sell" has the meaning ascribed to it by relevant legislation.

For Personal Information you provide to us (as a Newsletter Editor, for example), you represent and warrant that you have lawfully collected the Personal Information and that you or a third party have provided all required notices and obtained all required consents prior to collecting the Personal Information. You further represent and warrant that INTΞGRITY’s use of such Personal Information in accordance with the purposes for which you provided the Personal Information will not violate, misappropriate, or infringe any rights of a third party (including intellectual property rights or privacy rights) or cause us to violate any applicable laws.

The Services' User Content

INTΞGRITY may monitor your conduct and material for compliance with these Terms and our Rules, and reserves the right to remove any content that violates these guidelines.

INTΞGRITY maintains the right to remove or disable content that is accused to violate the intellectual property rights of others, as well as to cancel the accounts of repeat infringers. We respond to notifications of alleged copyright violations if they comply with the law; please report such notices using our Copyright Policy.

Ownership and Rights

You maintain ownership of all content that you submit, upload, or display on or through the Services.

By submitting, posting, or displaying content on or through the Services, unless otherwise agreed in writing, you grant INTΞGRITY a nonexclusive, royalty-free, worldwide, fully paid, and sublicensable license to use, reproduce, modify, adapt, publish, translate, create derivative works from, distribute, publicly perform and display your content and any name, username or likeness provided in connection with your content in all media formats and distribution methods now known or later developed.

INTΞGRITY requires this license because you are the owner of your material, and INTΞGRITY cannot show it across its multiple platforms (mobile, online) without your consent.

This type of license is also required for content distribution throughout our Services. For example, you may publish a piece on INTΞGRITY. It is duplicated as versions on both our website and app, and distributed to many locations on INTΞGRITY, including the homepage and reading lists. A tweak could be that we display a fragment of your work as a preview (rather than the entire post), with attribution. An example of a derivative work might be a list of top authors or quotations on INTΞGRITY that includes chunks of your article, again with full attribution. This license solely applies to our Services and does not grant us permissions outside of our Services.

So long as you comply with these Terms, INTΞGRITY grants you a limited, non-exclusive, personal, and non-transferable license to access and utilize our Services.

Copyright, trademark, and other United States and international laws protect the Services. These Terms do not grant you any right, title, or interest in the Services, the material posted by other users on the Services, or INTΞGRITY’s trademarks, logos, or other brand characteristics.

In addition to the content you submit, post, or display on our Services, we appreciate your feedback, which may include your thoughts, ideas, and suggestions regarding our Services. This input may be used for any reason at our sole discretion and without obligation to you. We may treat your comments as non-confidential.

We reserve the right, at our sole discretion, to discontinue the Services or any of its features. In addition, we reserve the right to impose limits on use and storage, and to remove or restrict the distribution of content on the Services.

Termination

You are allowed to terminate your use of our services at any time. We have the right to stop or cancel your use of the Services with or without notice.

Moving and Processing Information

To enable us to deliver our Services, you accept that we may handle, transfer, and retain information about you in the United States and other countries, where you may not enjoy the same rights and protections as you do under local law.

Indemnification

To the maximum extent permitted by applicable law, you will indemnify, defend, and hold harmless INTΞGRITY, and our officers, directors, agents, partners, and employees (collectively, the "INTΞGRITY Parties"), from and against any losses, liabilities, claims, demands, damages, expenses or costs ("Claims") arising out of or relating to your violation, misappropriation, or infringement of any rights of another (including intellectual property rights or privacy rights). You undertake to promptly notify INTΞGRITY Parties of any third-party Claims, to assist INTΞGRITY Parties in fighting such Claims, and to pay any fees, charges, and expenses connected with defending such Claims (including attorneys' fees). You further agree that, at INTΞGRITY’s sole discretion, the INTΞGRITY Parties will govern the defense or settlement of any third-party Claims.

Disclaimers — Services Provided "As Is"

INTΞGRITY strives to provide you with excellent Services, but there are certain things we cannot guarantee. Utilization of our services is at your own risk. You acknowledge that our Services and any content uploaded or shared by users on the Services are given "as is" and "as available" without explicit or implied warranties of any kind, including warranties of merchantability, fitness for a particular purpose, title, and non-infringement. In addition, INTΞGRITY does not represent or promise that our Services are accurate, comprehensive, dependable, up-to-date, or error-free. No advice or information gained from INTΞGRITY or via the Services shall create any warranty or representation unless expressly set forth in this section. INTΞGRITY may provide information on third-party products, services, activities, or events, or we may permit third parties to make their material and information accessible via our Services (collectively, "Third-Party Content"). We neither control nor endorse any Third-Party Content, nor do we make any claims or warranties about it. Accessing and utilizing Third-Party Content is at your own risk. The disclaimers in this section may not apply to you if they are prohibited in your location.

Limitation of Liability

We do not exclude or limit our obligation to you where it would be unlawful to do so; this includes any liability for the gross negligence, fraud, or willful misconduct of INTΞGRITY or the other INTΞGRITY Parties in providing the Services. In jurisdictions where the foregoing exclusions are not permitted, our liability to you is limited to losses and damages that are reasonably foreseeable as a result of our failure to exercise reasonable care and skill or breach of contract with you. This paragraph does not impact consumer rights that cannot be waived or limited by contract.

In jurisdictions that permit liability exclusions or limits, INTΞGRITY and INTΞGRITY Parties will not be liable for:

(a) Any indirect, consequential, exemplary, incidental, punitive, or extraordinary damages, or any loss of use, data, or profits, based on any legal theory, even if INTΞGRITY or the other INTΞGRITY Parties were advised of the potential of such damages.

(b) Except for the types of liability we cannot limit by law (as described in this section), we limit the total liability of INTΞGRITY and the other INTΞGRITY Parties for any claim arising out of or related to these Terms or our Services, regardless of the form of action, to $100.00 USD.

Arbitration; Resolution of Disputes

We intend to address your concerns without filing a formal lawsuit. Before making a claim against INTΞGRITY, you agree to contact us and attempt to resolve the dispute informally by emailing hello@int3grity.com or by sending certified mail to INTΞGRITY, P.O. JOY, 479 Jessie St, San Francisco, CA 94103. The notice must (a) contain your name, address, email address, and telephone number; (b) identify the nature and grounds of the claim; and (c) detail the relief requested. Our notice to you will be sent to the email address linked with your online account and will contain the information specified in the preceding section. Any party may commence a formal procedure if we are unable to reach a resolution within thirty (30) days of the date of any notice.

Please read the following section carefully because it compels you to arbitrate certain claims and disputes with INTΞGRITY and limits the method in which you can seek redress from us, unless you opt out of arbitration by following the steps provided below. This arbitration provision does not permit class or representative lawsuits or arbitrations. In addition, arbitration prohibits you from filing a lawsuit or having a jury trial.

(a) Absence of Representative Actions You and INTΞGRITY agree that any dispute arising out of or relating to these Terms or our Services is personal to you and INTΞGRITY and will be resolved entirely via individual action, and not by class arbitration, class action, or other representative procedure.

(b) Dispute Arbitration. Except for small claims disputes in which you or INTΞGRITY seeks to bring an individual action in small claims court located in the county where you reside and disputes in which you or INTΞGRITY seeks injunctive or other equitable relief for the alleged infringement or misappropriation of intellectual property, you and INTΞGRITY waive your rights to a jury trial and to have any other dispute arising out of or relating to these Terms or our Services, including claims related to privity of contract, decided by a jury. All Disputes submitted to JAMS shall be decided by confidential, binding arbitration before a single arbitrator. If you are a consumer, you may choose to have the arbitration in your county of residence. A "consumer" is a person who uses the Services for personal, family, or household purposes for the purposes of this provision. You and INTΞGRITY agree that Disputes shall be resolved using the JAMS Streamlined Arbitration Rules and Procedures ("JAMS Rules"). The latest version of the JAMS Rules is accessible on the JAMS website and is incorporated herein by reference. Either you accept and agree that you have read and comprehended the JAMS Rules or you forfeit your right to read the JAMS Rules and any claim that the JAMS Rules are unreasonable or should not apply for any reason.

(c) You and INTΞGRITY agree that these Terms affect interstate commerce and that the enforceability of this provision is subject to the Federal Arbitration Act, 9 U.S.C. 1 et seq. (the "FAA"), to the maximum extent permissible by applicable law. As limited by the FAA, these Terms, and the JAMS Rules, the arbitrator will have sole authority to make all procedural and substantive judgments regarding any Dispute, and to grant any remedy that would otherwise be available in court, including the authority to determine arbitrability. The arbitrator may only conduct an individual arbitration and may not consolidate the claims of more than one party, preside over any sort of class or representative procedure, or preside over any proceeding involving more than one party.

d) The arbitration will permit the discovery or exchange of nonconfidential information pertinent to the Dispute. The arbitrator, INTΞGRITY, and you will maintain the confidentiality of all arbitration proceedings, judgments, and awards, as well as any information gathered, prepared, or presented for the purposes of the arbitration or relating to the Dispute(s) therein. Unless the law specifies otherwise, the arbitrator will have the right to make decisions that protect confidentiality. The duty of confidentiality does not apply where disclosure is required to prepare for or conduct the arbitration hearing on the merits, in connection with a court application for a preliminary remedy, in connection with a judicial challenge to an arbitration award or its enforcement, or where disclosure is otherwise required by law or judicial decision.

e) You and INTΞGRITY agree that for any arbitration you begin, you will pay the filing fee (up to $250 if you are a consumer) and INTΞGRITY will pay the remaining JAMS fees and costs. INTΞGRITY will pay all JAMS fees and costs for any and all arbitrations it initiates. You and INTΞGRITY agree that the state and federal courts of California and the United States located in San Francisco have exclusive jurisdiction over any appeals and the implementation of an arbitration award.

(f) Any Dispute must be filed within one year after the relevant claim arose; otherwise, the Dispute is permanently barred, meaning that neither you nor INTΞGRITY will be able to assert the claim.

(g) You have the right to opt-out of binding arbitration within 30 days of the date you initially accepted the terms of this section by sending an email to hello@int3grity.com. For the opt-out notification to be effective, it must include your full name and address and clearly explain your intent to opt out of binding arbitration. By declining binding arbitration, you consent to the resolution of Disputes in accordance with "Governing Law and Venue" below.

(h) If any portion of this section is found to be unenforceable or unlawful for any reason: (1) the unenforceable or unlawful provision shall be severed from these Terms; (2) the severance of the unenforceable or unlawful provision shall have no effect whatsoever on the remainder of this section or the parties' ability to compel arbitration of any remaining claims on an individual basis pursuant to this section; and (3) to the extent that any claims must therefore proceed on an individual basis, the parties agree to arbitrate those claims on an individual basis. In addition, if it is determined that any portion of this section prohibits an individual claim seeking public injunctive relief, that provision will be null and void to the extent that such relief may be sought outside of arbitration, and the balance of this section will be enforceable.

Statute and Location

These Terms and any dispute that may arise between you and INTΞGRITY are governed by California law, excluding its conflict of law provisions. Any issue between the parties that is not arbitrable or cannot be heard in small claims court will be determined by the state or federal courts of California and the United States, sitting in San Francisco, California.

Some nations have regulations that require agreements to be controlled by the consumer's country's laws. These statutes are not overridden by this paragraph.

Amendments

Periodically, we may make modifications to these Terms. If we make modifications, we will notify you by sending an email to the address connected with your account, providing an in-product message, or amending the date at the top of these Terms. Unless we specify otherwise in our notification, the modified Terms will take effect immediately, and your continued use of our Services after we issue such notice indicates your acceptance of the changes. If you do not accept the updated Terms, you must cease using our services.

Severability

If any section or portion of a provision of these Terms is determined to be unlawful, void, or unenforceable, that provision or part of the provision shall be deemed severable from these Terms and shall not affect the validity and enforceability of the other terms.

Miscellaneous INTΞGRITY’s omission to assert or enforce any right or term of these Terms is not a waiver of such right or provision. These Terms and the terms and policies specified in the Other Terms and Policies that May Apply to You Section constitute the complete agreement between the parties pertaining to the subject matter hereof and supersede all prior agreements, statements, and understandings between the parties. The section headings in these Terms are for convenience only and have no legal or contractual significance. The use of the word "including" shall be taken to mean "including without limitation." Unless otherwise specified, these Terms are intended solely for the benefit of the parties and are not intended to confer third-party beneficiary rights on any other person or entity. You consent to the use of electronic means for our communications and transactions.

Steve Jobs' initial mission at Apple in 1997 was to destroy. He killed the Newton PDA and Macintosh clones. Apple stopped trying to please everyone under Jobs.

Afterward, there were few highly targeted moves. First, the pink iMac. Modest success. The iPod, iPhone, and iPad made Apple the world's most valuable firm. Each maneuver changed the company's center of gravity and won.

That's the idea behind Schwerpunkt, a German military term meaning "focus." Jobs didn't need to win everywhere, just where it mattered, so he focused Apple's resources on a few key goods. Finding your Schwerpunkt is more important than charts and analysis for excellent strategy.

Comparison of Relative Strength and Relative Weakness

The iPod, Apple's first major hit after Jobs' return, didn't damage Microsoft and the PC, but instead focused Apple's emphasis on a fledgling, fragmented market that generated "sucky" products. Apple couldn't have taken on the computer titans at this stage, yet it beat them.

The move into music players used Apple's particular capabilities, especially its ability to build simple, easy-to-use interfaces. Jobs' charisma and stature, along his understanding of intellectual property rights from Pixar, helped him build up iTunes store, which was a quagmire at the time.

In Good Strategy | Bad Strategy, management researcher Richard Rumelt argues that good strategy uses relative strength to counter relative weakness. To discover your main point, determine your abilities and where to effectively use them.

Steve Jobs did that at Apple. Microsoft and Dell, who controlled the computer sector at the time, couldn't enter the music player business. Both sought to produce iPod competitors but failed. Apple's iPod was nobody else's focus.

Finding The Center of Attention

In a military engagement, leaders decide where to focus their efforts by assessing commanders intent, the situation on the ground, the topography, and the enemy's posture on that terrain. Officers spend their careers learning about schwerpunkt.

Business executives must assess internal strengths including personnel, technology, and information, market context, competitive environment, and external partner ecosystems. Steve Jobs was a master at analyzing forces when he returned to Apple.

He believed Apple could integrate technology and design for the iPod and that the digital music player industry sucked. By analyzing competitors' products, he was convinced he could produce a smash by putting 1000 tunes in my pocket.

The only difficulty was there wasn't the necessary technology. External ecosystems were needed. On a trip to Japan to meet with suppliers, a Toshiba engineer claimed the company had produced a tiny memory drive approximately the size of a silver dollar.

Jobs knew the memory drive was his focus. He wrote a $10 million cheque and acquired exclusive technical rights. For a time, none of his competitors would be able to recreate his iPod with the 1000 songs in my pocket.

How to Enter the OODA Loop

John Boyd invented the OODA loop as a pilot to better his own decision-making. First OBSERVE your surroundings, then ORIENT that information using previous knowledge and experiences. Then you DECIDE and ACT, which changes the circumstance you must observe, orient, decide, and act on.

Steve Jobs used the OODA loop to decide to give Toshiba $10 million for a technology it had no use for. He compared the new information with earlier observations about the digital music market.

Then something much more interesting happened. The iPod was an instant hit, changing competition. Other computer businesses that competed in laptops, desktops, and servers created digital music players. Microsoft's Zune came out in 2006, Dell's Digital Jukebox in 2004. Both flopped.

By then, Apple was poised to unveil the iPhone, which would cause its competitors to Observe, Orient, Decide, and Act. Boyd named this OODA Loop infiltration. They couldn't gain the initiative by constantly reacting to Apple.

Microsoft and Dell were titans back then, but it's hard to recall. Apple went from near bankruptcy to crushing its competition via Schwerpunkt.

Rather than a destination, it is a journey

Trying to win everywhere is a strategic blunder. Win significant fights, not trivial skirmishes. Identifying a focal point to direct resources and efforts is the essence of Schwerpunkt.

When Steve Jobs returned to Apple, PC firms were competing, but he focused on digital music players, and the iPod made Apple a player. He launched the iPhone when his competitors were still reacting. When Steve Jobs said, "One more thing," at the end of a product presentation, he had a new focus.

Schwerpunkt isn't static; it's dynamic. Jobs' ability to observe, refocus, and modify the competitive backdrop allowed Apple to innovate consistently. His strategy was tailored to Apple's capabilities, customers, and ecosystem. Microsoft or Dell, better suited for the enterprise sector, couldn't succeed with a comparable approach.

There is no optimal strategy, only ones suited to a given environment, when relative strength might be used against relative weakness. Discovering the center of gravity where you can break through is more of a journey than a destination; it will become evident after you reach.