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LUCK Control

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This collection of links and information may help you move from allowing luck to direct many of your life events. To controlling random events to achieve your goals and obtaining more success in your life. This is by no means a tutorial for being successful.  It is a collection of thoughts about luck and the control we have over it.  It is for you to explore these thoughts, and others, to find your own path to success.  It can be done; and not that difficult for most.

First we look at randomness.  Then we realize that raw randomness is not that common, and extremely difficult to achieve intentionally.  There are numerous forces that create cycles and biases which direct the random behaviors into predictable consequences.  Some of these are easily recognized, such as weather, seasons, gravity, …  others are less obvious.  It is in the recognition of, and the syncing with, these forces that will give you a reasonable amount of control over the events of your life.

We look at probability to determine the likely-hood of a particular event happening or not.  The calculations are not always intuitive, but can be very helpful in analyzing the situation.  In the Monty-Hall problem even some professional mathematicians got it wrong.  That problem is perfect for our study, it is very much counterintuitive.

Next we look at your state of mind and body required to manipulate forces to obtain the desired conclusion.  Many manipulation interventions requires skill, talent, muscle control, emotional stability, experience, self assurance, patience, maturity, unobstructed thought processes, … random luck may still play a part, but the objective is to reduce dependance upon it as much as possible.  You must think beyond the personal effects of the manipulation and account, with empathy, for everything else.  You must realize the privilege of your life, and behave without taking unfair advantage.  Taking candy from a baby is no accomplishment. You must recognize an opportunity and prepare yourself for capitalizing on them. Basically, you position yourself in the path of good luck and out of the way of bad luck.

Uncertainty will always exist and must be permitted and even encouraged.  Any worthwhile development is an iterative process.  You try something, evaluate its effectiveness, modify the manipulation, and try again.  Failures are permitted, encouraged, expected, and embraced for their educational value.  The best solution is rarely the initial attempt.  You learn by making mistakes.  Rapid prototyping is often required.

You are then ready to take the gamble, where you risk something of value, in order to potentially achieve something of more value.  Timing may be an important element in your plan.  Almost all actions, physical or otherwise, carry a degree of a gamble.  You decide to act based upon your assessment of the risk and the reward.  Usually it is a question of trade-offs.  You can’t have the best of all dimensions.  “maximize the positives, eliminate the negatives, and don’t mess with Mr. in-between.”

Now comes the magic.  From the earliest of times, people have attempted to influence or anticipate future events based upon magical manipulations and understandings.  Prediction of the future is perhaps the most basic of human activities.  What will happen next? Modern science follows from these early efforts.  Science is like magic, only real!

Determining when success has been achieved is perhaps the most difficult task.  Goals achieved commonly carry a bittersweet aspect.  Success is not an either/or situation, it is measured by degrees. What opportunities were missed in order to reach a goal?  Was it worth the sacrifices; who got hurt; how do you measure; is this the completion of a single iteration of many?  Is this success sustainable and survivable?  What was lost in the process?  Many of these questions are not answerable until considerable time has passed. Unfortunately the answer will depend upon your individual (selfish) perspective. Be aware of the choices you make.

Now it is time for you to explore the related topics, at your leisure.

CONTENTS

Luck

Chance

Randomness

Random Number Generator

Probability

Monty Hall Problem

Cell Growth

Confidence 

Self Control

Empathy

Privilege

Opportunism

Uncertainty

Gambling

Lottery

Magic

Success

Loss Function

Victory

Survival

Performance

Infinity & Beyond

The format of this collection is as follows:

A general topic is identified

A brief definition of the topic is provided

A hyperlink is provided, by clicking on a picture or word, to a wikipedia article about the topic

A table of contents of the wikipedia article is provided

The intent is that you will learn using a self directed approach.  You are encouraged and enabled to ‘drill down’ into a topic until you have satisfied or exhausted your curiosity.  The material is not intended to be consumed sequentially or in any prescribed order.  You are in control, and can jump around as you wish.  Your needs and passions are for you to determine. This approach should serve the mature student very well.

Lucky – Beinging aware of something nice happening, to you; which you didn’t earn.  

You did nothing – something nice happened – you are lucky – no skill required – wishes – will

To gain success or something desirable by chance

1. The chance happening of fortunate or adverse events; fortune

2. Good fortune or prosperity; success

3. One’s personal fate or lot

  • Etymology and definition
    Lack of control
    Fallacy
    Essence
    Self-fulfilling prophecy
    Social aspects
    Games
    Lotteries
    Means of resolving issues
    Numerology
    Science
    In religion and mythology
    Buddhism
    Christianity and Judaism
    Hinduism
    Islam
    Belief measurement
    See also
    Bibliography
    References
    External links

Chance – random likely-hood of something happening – randomness

1.

a. The unknown and unpredictable element in happenings that seems to have no assignable cause.

b. A force assumed to cause events that cannot be foreseen or controlled; luck: Chance will determine the outcome.

2. often chances The likelihood of something happening; possibility or probability: Chances are good that you will win. Is there any chance of rain?

3. An accidental or unpredictable event: “He sprang to his feet and turned to run. At the same moment by a lucky chance the moon broke through the clouds” (Arthur Conan Doyle).

4. A favorable set of circumstances; an opportunity: a chance to escape.

5. A risk or hazard; a gamble: took a chance that the ice would hold me.

6. Games A raffle or lottery ticket.

7. Baseball An opportunity to make a putout or an assist that counts as an error if unsuccessful.

  • Definition
    Discrete probability distribution
    Example
    Continuous probability distribution
    Relationship between the likelihood and probability density functions
    In general
    Likelihoods for mixed continuous–discrete distributions
    Regularity conditions
    Likelihood ratio and relative likelihood
    Likelihood ratio
    Relative likelihood function
    Likelihood region
    Likelihoods that eliminate nuisance parameters
    Profile likelihood
    Conditional likelihood
    Marginal likelihood
    Partial likelihood
    Products of likelihoods
    Log-likelihood
    Graph
    Likelihood equations
    Exponential families
    Example: the gamma distribution
    Background and interpretation
    Historical remarks
    Interpretations under different foundations
    Frequentist interpretation
    Bayesian interpretation
    Likelihoodist interpretation
    AIC-based interpretation
    See also
    Notes
    References
    Further reading
    External links
  • Randomness

Whats going to happen next?

  • History
  • In science
  •           In the physical sciences
               In biology
               In mathematics
               In statistics
               In information science
               In finance
               In politics
            Randomness and religion
            Applications
            Generation
            Measures and tests
    Misconceptions and logical fallacies
    Fallacy: a number is “due”
            Fallacy: a number is “cursed” or “blessed”
            Fallacy: odds are never dynamic
    See also
    Notes
    References
    Further reading
    External links

Random Number Generator

It is VERY difficult to produce a true Random Number Generator

Patterns creep in. The recognition of these patterns will lead you to success.

  • Practical applications and uses
    “True” vs. pseudo-random number
    • Physical methods
      Computational methods
      By humans
    • Post-processing and statistical checks
      • Other considerations
        Reshaping the distribution
        Uniform distributions
        Other distributions
        Whitening
      • Low-discrepancy sequences as an alternative
        Activities and demonstrations
        Backdoors
        See also
        References
        Further reading
        External links

Probability – the statistical prediction of an events happening

1. the condition of being probable

2. an event or other thing that is probable

3. (Statistics) statistics a measure or estimate of the degree of confidence one may have in the occurrence of an event, measured on a scale from zero (impossibility) to one (certainty). It may be defined as the proportion of favorable outcomes to the total number of possibilities if these are indifferent (mathematical probability), or the proportion observed in a sample (empirical probability), or the limit of this as the sample size tends to infinity (relative frequency), or by more subjective criteria (subjective probability)

  • Interpretations
    Etymology
    History
    Theory
    Applications
    Mathematical treatment
    Independent events
    Mutually exclusive events
    Not mutually exclusive events
    Conditional probability
    Reverse probability
    Summary of probabilities
    Relation to randomness and probability in quantum mechanics
    See also
    Notes
    References
    Bibliography
    External links
Monty Hall Problem

Another way of thinking about it

  • Paradox
    Standard assumptions
    Simple solutions
    Vos Savant and the media furor
    Confusion and criticism
    Sources of confusion
    Criticism of the simple solutions
    Solutions using conditional probability and other solutions
    Refining the simple solution
    Conditional probability by direct calculation
    Bayes’ theorem
    Strategic dominance solution
    Solutions by simulation
    Variants
    Other host behaviors
    N doors
    Quantum version
    History
    See also
    Similar puzzles in probability and decision theory
    References
    Bibliography
    Further reading
    External links
Call Growth

Natural growth is the result of random behaviors encouraged in beneficial directions.

  • Mechanisms of cell growth control
    Cell growth regulation in animals
    Cell populations
    Cell size
    Yeast cell size regulation
    Linking Cdr2 to Wee1
    Cell polarity factors
    Other experimental systems for the study of cell size Regulation
    Cell division
    Comparison of the three types of cell division
    Sexual reproduction
    Disorders
    Measurement methods
    See also
    References
    Books
    External links

Confidence – pretty sure

1.

a. A belief or conviction that an outcome will be favorable

b. Belief in the certainty of something

2. Belief in the effectiveness of one’s own abilities or in one’s favorable acceptance by others; self-confidence.

3. Trust or faith in a person or thing:

4. A trusting relationship: 

5.

  1. That which is confided; a secret
  2. A feeling of assurance that a confidant will keep a secret
  • History
    Theories and correlations with other variables and factors
    Self-confidence as an intra-psychological variable
    Relationship to social influences
    Variation in different categorical groups
    Children
    Students
    Men versus women
    Stereotype threat
    Self-confidence in different cultures
    Athletes
    Measures
    Wheel of Wellness
    Implicit vs. explicit
    Extent
    Lack of self-confidence
    Confidence bias
    See also
    References
Self Control
  • As a virtue
    Research
    Counteractive
    Satiation
    Construal levels
    Human and non-human
    Alternatives
    Skinner’s survey of techniques
    Physical restraint and physical aid
    Changing the stimulus
    Depriving and satiating
    Manipulating emotional conditions
    Using aversive stimulation
    Drugs
    Operant conditioning
    Punishment
    “Doing something else”
    Brain regions involved
    Prefrontal cortex
    Outcomes as determining whether a choice is made
    Physiology of behavior
    “The Marshmallow Test”
    Ego depletion
    See also
    References
    Further reading
    External links
Empathy
  • Etymology
    Definitions
    General
    Distinctions between empathy and related concepts
    Classification
    Development
    Evolution across species
    Ontogenetic development
    Individual differences
    Sex differences
    Environmental influences
    Empathic anger and distress
    Anger
    Distress
    Influence on helping behavior
    Genetics
    General
    Neuroscientific basis of empathy
    Impairment
    Autism
    Psychopathy
    Other conditions
    In educational contexts
    In intercultural contexts
    Practical issues
    Benefits of empathizing
    Empathic inaccuracy
    Problems created by too much empathy and empathic bias
    Empathy and power
    Empathic distress fatigue
    Disciplinary approaches
    Philosophy
    Ethics
    Phenomenology
    History
    Psychotherapy
    Business and management
    Evolution of cooperation
    Measurement
    Self-report measures
    International comparison of country-wide empathy
    Other animals and empathy between species
    In fiction
    See also
    References
    Further reading
    External links
Privilege
  • Extent
    Access to the Sovereign
    Scandalum magnatum
    Trial by peers
    Freedom from arrest
    Privilege myths
    See also
    Notes and references
    Further reading
Opportunist
  • Definitions
    Etymology
    Moral connotations
    Human behaviour
    Eight main contexts
    Five main organizational influences
    Use of the term in specific areas
    Professional
    Intellectual
    Sexual
    Evolutionary
    Biological
    Political
    Economic
    Game theory
    Social
    Marxist theory
    Legal
    Spiritual
    See also
    References

Certainty/Un – willing to bet – with little doubt – measure of degree – percentage

1. The condition of being uncertain; doubt.

2. Something uncertain: the uncertainties of modern life.

3. Statistics The estimated amount or percentage by which an estimated or calculated value may differ from the true value.

  • Concepts
    Uncertainty
    Uncertainty versus variability
    Knightian uncertainty
    Unreferenced original research
    In measurements
    In the media
    Applications
    Philosophy
    Artificial intelligence
    See also
    References
    Further reading
    External links

Gambling– risking something to achieve gain

1. A bet, wager, or other gambling venture.

2. An act or undertaking of uncertain outcome; a risk: I took a gamble that stock prices would rise.

  • History
    Great Britain
    United States
    Regulation
    Insurance
    Asset recovery
    Religious views
    Buddhism
    Hinduism
    Judaism
    Christianity
    Catholicism
    Protestantism
    Other Christian denominations
    Islam
    Bahá’í Faith
    Types
    Casino games
    Table games
    Electronic gambling
    Other gambling
    Non-casino games
    Fixed-odds betting
    Parimutuel betting
    Sports betting
    Virtual sports
    Arbitrage betting
    Other types of betting
    Staking systems
    Other uses of the term
    Negative consequences
    Psychological biases
    See also
    References
    Further reading
    External links
Lottery

More like a equal-percentage wager

the best bet for a poor gambler?

  • Classical history
    Medieval history
    Early modern history
    France, 1539–1789
    England, 1566–1826
    British North America 1612–1783
    German-speaking countries
    Spain, 1763
    Ticket gallery
    Mathematical analysis
    Probability of winning
    Scams and frauds
    Payment of prizes
    Outcomes for big winners
    See also
    References
    Further reading
    External links

Magic– remember that you are constantly being fooled

1.

a. The art or practice of using charms, spells, or rituals to attempt to produce supernatural effects or control events in nature.

b. The charms, spells, and rituals so used.

2. The exercise of sleight of hand or conjuring, as in making something seem to disappear, for entertainment.

3. A mysterious quality of enchantment

  • Etymology
    White, gray and black
    High and low
    History
    Witchcraft
  •   Magicians
    See also
    References

    Further reading
    External links

SuccessHappy Ending Performance – Satisfied wish

1. The achievement of something desired, planned, or attempted: attributed their success in business to hard work.

2.

a. The gaining of fame or prosperity: an artist spoiled by success.

b. The extent of such gain.

3. One that is successful: The plan was a success.

  • In American culture
    In biology
    In education
    In business and leadership
    In philosophy of science
    In probability
    See also
    References
    Sources
    Further reading
Loss Function
  • Examples
    Regret
    Quadratic loss function
    0-1 loss function
    Constructing loss and objective functions
    Expected loss
    Statistics
    Frequentist expected loss
    Bayesian expected loss
    Examples in statistics
    Economic choice under uncertainty
    Decision rules
    Selecting a loss function
    See also
    References
    Further reading
Victory
  • The universal sign for victory
    Religion
    See also
    References
    External links
Survival Analysis
  • Introduction to survival analysis
    Definitions of common terms in survival analysis
    Example: Acute myelogenous leukemia survival data
    Kaplan–Meier plot for the aml data
    Life table for the aml data
    Log-rank test: Testing for differences in survival in the aml data
    Cox proportional hazards (PH) regression analysis
    Example: Cox proportional hazards regression analysis for melanoma
    Cox model using a covariate in the melanoma data
    Extensions to Cox models
    Tree-structured survival models
    Example survival tree analysis
    Survival random forests
    Deep Learning survival models
    General formulation
    Survival function
    Lifetime distribution function and event density
    Hazard function and cumulative hazard function
    Quantities derived from the survival distribution
    Censoring
    Fitting parameters to data
    Non-parametric estimation
    Computer software for survival analysis
    Distributions used in survival analysis
    Applications
    See also
    References
    Further reading
    External links
Performance Indicator
  • Categorization of indicators
    Points of measurement
    Identifying indicators
    Examples
    Accounts
    Marketing and sales
    Manufacturing
    Professional services
    System operations
    Project execution
    Supply chain management
    Government
    Further performance indicators
    Problems
    See also
    References
    Further reading
Infinity & Beyond
  • History
    Early Greek
    Zeno: Achilles and the tortoise
    Early Indian
    17th century
    Mathematics
    Symbol
    Calculus
    Real analysis
    Complex analysis
    Nonstandard analysis
    Set theory
    Cardinality of the continuum
    Geometry
    Infinite dimension
    Fractals
    Mathematics without infinity
    Physics
    Cosmology
    Logic
    Computing
    Arts, games, and cognitive sciences
    See also
    References
    Bibliography
    Sources
    External links

A Solar System Gravity Map

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I was impressed when ‘SpoonUnit’ (of thingiverse) presented the planets along a dimension other than the distance from the sun (using diameter instead).  I wondered if other dimensions might show the planets from interesting perspectives.  The dimension of mass and its resulting influence upon us, by way of gravity, seems promising.  Gravity has more influence upon us than many other metrics.

The source of the gravity information is:

https://en.wikipedia.org/wiki/List_of_gravitationally_rounded_objects_of_the_Solar_System

https://en.wikipedia.org/wiki/Gravity

I approximated and represent it all in a unique 3 dimensional map, using TinkerCad … 

https://www.tinkercad.com

The numbers represent the relative gravity – referenced to Earth, of gravity 1.

I 3d printed it … and made it ready for Thingiverse.

https://www.thingiverse.com

It can be viewed as ‘looking down a well’ at a clockwise spiral of equally sized objects.

Looking for the home feeling?” – go to Neptune (1.1), Saturn (1.1), Venus (.9) or Uranus (.9)

For the gravity that fits your muscles.

Looking for a familiar and easy life?” – go to Mars (.4), Mercury (.4), Io (.2) or Luna (.2)

For existence that we have some experience with, and that requires little effort.

See Jupiter as the major mover.

https://en.wikipedia.org/wiki/Gravity_assist

The other solar system object approximate zero-g environments – that we have experience with.

https://en.wikipedia.org/wiki/Weightlessness

Ponder the 5 planets of near equal mass – this may be a clue to something.

Remember how important, for chemistry, the electron grouping was …

1 5 2 2 3 is that like the electron energy levels of 2 6 10 14 18 ( s p d f g)?

https://en.wikipedia.org/wiki/Electron_shell

Aside: note that s = 2, p-s = 4, p+s = 8, p+d = 16 (also f+s), f+d+p+s = 32, …

looks like a binary influence may be at work here … ?

The grouping could also be 1 2 3 2 2 3 … or …

Happy pondering!

Numbers for Geometry

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My solution to a nagging problem in Mathematics

I became intrigued by the variety of ways to establish a coordinate system for representing solid geometry in numeric terms.

https://en.wikipedia.org/wiki/Cartesian_coordinate_system

I remember, as a young person, being amazed at the difficulty of transitioning from plane to solid geometry.  Being comfortable with x-y graphs, I felt that it would be easy to add a z axis and be done with it.  I soon found that confusion prevailed.  Teachers at the blackboard oriented the axes so that y was up and z came out into the room.  My intuitive choice was to have z going up out of the paper at my desk.  I found agreement with my system when describing ‘ground vehicles’, where x is to the front and z is up.  But when working with aircraft I found that x was the same as for ground vehicles but that z pointed down.  And for water vehicles, where z is meaningless (except for submarines), the aircraft convention was adopted.  Space is a different story all together, where up is not defined.

https://en.wikipedia.org/wiki/Aircraft_principal_axes

https://en.wikipedia.org/wiki/Axes_conventions

Mathematics does not settle the confusion, when it accepts any orientation as equivalent, as long as the ‘right hand rule’ convention is followed.

https://en.wikipedia.org/wiki/Right-hand_rule

Most people could care less.  With the introduction of 3d printers and design tools readily available, more people are confused.  Which way is ‘up’?  One of my favorite books from childhood was ‘Flatland’ by Edwin Abbott where a character struggled with the suggestion of ‘up without north’ and concluded that the concept was silly.

https://en.wikipedia.org/wiki/Flatland

I have concluded that this confusion is silly in a system so important, for describing the world we live in.  The solution I chose was to relate the axes to the only meaningful perspective – the individual’s senses.  The x axis points in the direction of visual interest and mobility preference.  X points ahead to the front.  Z is another intuitive sense and must be pointing up.  This requires that Y must be pointing to the Left; to follow the right hand rule and the mathematical definition of orthogonal axes.  We are after all, a ground vehicle.

So to aid in remembering this system, and it’s associated conventions for roll, pitch and yaw; I  have created a structure using my hero Albert Einstein as the model. 

https://en.wikipedia.org/wiki/Albert_Einstein

The x-axis comes out of his head in the region of the eyes, providing for the ROLLing of eyes.

The z-axis comes out of the top of his head, providing for the YAWing of disagreement.  And the y-axis comes out of the left side of his head, providing for the PITCHing of agreement.

I decided to further enhance my Albert Einstein model by allowing us to view into his thoughts; by not completing the construction of the top of his head.  Looking into his head we get a glimpse of his thought processes. We find 4 major areas of concentrated innovations.

Area 1 relates to the ‘Photoelectric Effect’ and is represented by a matrix of similar objects.

I’ll leave it to you, to relate Quantum to the observed impact of light dislodging an electron only if the frequency is appropriate.  He showed that the intensity and duration of the light had no effect upon releasing electrons; only the frequency.  Concluding from that an idea of discrete levels and units.  And that light can influence matter.

https://en.wikipedia.org/wiki/Photoelectric_effect

Area 2 relates to ‘Browning Motion’ and is represented by a rotated normal distribution curve, compared to the Apollo spaceship.  I’ll leave it to you, to relate Statistics to the observed motion of a pollen seed being moved randomly about by impacts with water molecules.

https://en.wikipedia.org/wiki/Brownian_motion

Area 3 relates to the relationship between Time and Space and is represented by the light cones of past and future interacting with the present space plane.  I’ll leave it to you, how the ‘special theory of relativity’ can unify time and space.

https://en.wikipedia.org/wiki/Special_relativity

Area 4 relates to the relationship between Mass and Energy and is represented by the famous equation that almost everyone knows.  I’ll leave it to you, to ponder the enormous amount of energy released by the conversion of even a tiny amount of mass.  Take one of the largest numbers you can think of, the speed of light (very fast), multiply it by itself, then multiply that by the mass converted and you get a really humungous number for the energy released.  So much so, that over many decades of failed attempts to contain it, we still struggle with controlling it.

https://en.wikipedia.org/wiki/Mass–energy_equivalence

My completed model includes an idea of the frustration of living in the shadow of greatness.  We see a smaller pale imitation of the colorful Einstein model standing off to the side, admiring with awe the accomplishments of a hero. 

Yet we know that the effort to assign numbers to physical objects will continue to broaden our understanding and appreciation of nature.

Click on the image to the right for a video of my model.

Compliant Material

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Justification for buying a 3D printer …

or How much I enjoy Making Compliant Materials with my Snapmaker 3D printer+

I am excited about this field of Mechanical Engineering and the Computer Aided Design and Manufacturing currently available to the public.  Working with compliant material is much easier than manufacturing using non-compliant metal.  The 3D printer technology is a perfect companion for this material. 

This post is a collection of links and descriptions of compliant mechanisms, many of which I printed on my Snapmaker 3D printer.

The following information MUST be somewhat understood before the wonder and beauty of this material can be fully appreciated.  The lecture series is optional but is very informative and well presented.  Be careful, the advertisements can be enticing.  This is just a sample of the instructional material available to you.

Visit to BYU lab … Derek Muller and Larry Howell Video

Definition:

https://en.wikipedia.org/wiki/Compliant_mechanism

Derek Muller Video

https://www.veritasium.com/videos/2021/2/18/why-robots-that-bend-are-better

Derek Muller Video

https://www.veritasium.com/videos/2019/10/4/engineering-with-origami

Larry Howell Video

https://www.compliantmechanisms.byu.edu

https://www.compliantmechanisms.byu.edu/maker-resources

Robert J Lang Video

https://langorigami.com

Lecture Series … Jonathan Hopkins

FACTS of Mechanical Engineering Lecture Series … Jonathan Hopkins

https://www.youtube.com/channel/UC5Jz6SBlu2Sv61kfssv4DOw

Cool Prints

Just Noticeable Difference

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Psychophysics has discovered a law called the Weber-Fechner Law which can demonstrate the different perceptions of the rich and the poor.  It proves what we already knew: that a little stimulus change means a great deal when you have almost nothing, and very little when you have an excess.  A single dollar does not create the same emotional appreciation to a wealthy person as to a poor person.

Imagine you are in a closed room with a single lightbulb and a controller that can make small changes in the light intensity.  If the light is initially very dim and you increase or decrease the intensity just enough for you to notice a change from the original brightness, that change in intensity is called the Just Noticeable Difference (JND).  If you then make the initial light very bright and do the same slight adjustments until you notice the change, you then have another JND.  The value of the two JNDs is not the same.  The JND when starting from a large intensity is greater than if you start from a small intensity. Larger changes are required to make a meaningful difference in bright light.  If we have a small sensory base level (dim light), it takes less of an increase or decrease for us to notice a change.  This is true for a large number of our sensory modalities; seeing, hearing, touching, temperature, etc.  This is one of the few laws of psychology.  It was discovered by Ernst Weber and developed into a law by Gustav Fechner in 1860.  Fechner is known as the father of Experimental Psychology.  He thought that he had solved the infamous mind-body problem, expressing it in a mathematical formula (S=K ln I; where S is sensation {mind}, I is stimulus Intensity {body}, ln represents the natural logarithm, and K is a constant).  This formula is inscribed on his tombstone.

With money and with government influence of the economy, how do we increase population well-being, while maximizing the utility of resources? How do we keep the profit motive alive while providing aid to the needy?  This law may provide a partial answer to these questions.

This law also applies to wealth.  A poor person will notice a small increase or decrease in wealth, while it takes a much larger change to make a similar difference to a wealthy person.  Increases in wealth are experienced as positive emotions while losses are depressing.  If a government has a limited resource and wishes to improve the well-being of a population, this law would instruct them to give to poor people.  Thereby creating more positive emotions per unit of resource.  The resource can be money, food, shelter, security or anything which will be perceived with emotion.  Trickle-down manipulations are second order inefficient methods of increasing population positive emotions.  Economic stimulation to improve the population’s well-being is best achieved by aiding the poor.  If you wish to efficiently use a limited resource, and avoid spoilage or misuse, you should provide it to those who will appreciate it the most.  Thus the cost of a single apple, for example, should be less than the per unit price of a large quantity purchase.  A profit may be realized if the large purchase (wholesale) at a higher per unit price is followed by a ‘value added’ process.  In the example of apples the ‘value added’ process could be baking an apple pie, of preserving the apples for storage.  This is different from the economic model of producing a profit by buying in large quantity and selling in small units.  In the JND model the large quantity purchase of a commodity must be accompanied with a ‘value added’ process to produce a profit.

A mature Psychology science is expected to use scientific discoveries to aid people in psychological distress.  An ethical educational system is expected to encourage and perpetuate ethical behaviors.  A viable spiritual leadership is expected to guide people into virtuous directions.

Many discoveries in Psychology have been applied in ways to effectively decrease population well-being.  Discoveries in addiction behavior have been used to increase irrational desires for products and services.  Discoveries in attractiveness perception have been used in advertising to increase sales and encourage discontent and reduced self appreciation.  Discoveries in greed have been used to encourage insatiable consumption and producing more greed.  Discoveries in aggressive behavior and hostility have been used to support competition and bully wars.  JND discoveries are being used to slightly decrease the size of a product’s container, thereby increasing the profit.  We are educated to accept these manipulation as ‘smart business’ and to see it as a commendable application of science and understanding.  Our economic and ethical principals reward this inhumane behavior.  Perhaps an educational change is warranted as well as a maturing of the science of Psychology.  More needs to be said of the responsibilities of our spiritual leadership.

We must anticipate that a growing wealth gap and the movement of large groups of people from middle class to lower class will produce an unhealthy response from the disenfranchised.  The assumption of equal emotional appreciation to an equal quantity money is not fair to the poor.  A given quantity of money means much more to a poor person.  Consider what it would be like if the poor were to behave as if equal emotional exchanges were the norm.  A poor person would be willing to risk almost everything to gain the necessities of life.  This does not produce a healthy society.

A government must keep in mind that in gambling (which may be hidden, but present in most human activities) it is possible for a wealthy person to ‘buy the pot’ with a bet well beyond the JND of a poor person, while meaning much less to them.  Honest betting may be closer to ‘percentage of wealth’ wagers.  This may be the motivation behind the wealthy doing all they can to discourage the ‘bet it all’ mentality, where the poor attempt to create a level playing field through insurrection.  

There is a new branch of the literature on public finance hypothesizing that the Weber–Fechner law can explain the increasing levels of public expenditures in mature democracies. Election after election, voters demand more public goods to be effectively impressed; therefore, politicians try to increase the magnitude of this “signal” of competence (the size and composition of public expenditures) in order to collect more votes.

And the lightbulb comes on!

Boolean Algebra & Multiple Negatives

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Tools of the Trade:  Engineering design Items contained in the following image are …

The “TTL Cookbook”, published in 1974, became the standard reference to TTL (transistor-transistor-logic) devices.

A “Drawing Template”, of standard logic symbols, used for schematic drawing of logic designs.

“Protection Tubes”, containing the standard packaging (chips) of integrated circuits.  Depending upon how you interconnect these logic blocks, you can build a computer, a calculator, an electronic music system, a digital voltmeter, a counter, a television terminal readout display, a color-tv dot-bar generator, educational demonstrators, or any of thousands of other possibilities.  While a single “yes-no” decision by itself usually is not too useful, the proper combination of grouped “yes-no” decisions taken together can represent a number, a word, a command, a musical note, a test signal, or practically anything else you might like.

LogicGates

Introduction to Boolean Logic:

The Khan Academy has several lessons providing an excellent introduction:

Logic Gates

Boolean Logic

Wikipedia provides very useful reference:

Boolean Algebra

And many Educational Institutions sources:

Princeton

WordPress

Medium

Computer Aided Design applications which are “Open Source” (Free and Modifiable):

TinkerCAD

Blender

The following images are from the “TTL Cookbook” of selected TTL circuits.  Each covers essential information you might need to connect or intelligently use the integrated circuit.  The selected operations are those commonly found in Computer Aided Design (CAD) tools for creating solid objects. See: Constructive Solid Design for details.

The AND logical operation, producing what is referred to as an Intersection or a Conjunction and commonly represented by the ampersand symbol (&):

And

The OR logical operation, producing what is referred to as a Union or a Disjunction and commonly represented by the symbol (v):  

Or

The NOT logical operation, producing what is referred to as a Difference or a Negation or a Inverter and commonly represented by the symbol (- or \):

Inverter

The XOR logical operation, producing what is referred to as an Exclusive OR:

ExclusiveOr

The NAND logical operation, producing what is referred to as a Not AND:

NAnd

The NOR logical operation, producing what is referred to as a Not OR:

NOr

Boolean Logic use in Everyday activities:

How to get the truth from a chronic lier?  Ask them “What would you say, if I ask you …?”.

In some languages, double negatives cancel one another and produce an affirmative.  Languages without negative concord typically have negative polarity items.  Examples: ”ever”, “anything” and “anyone” in the sentence “I haven’t ever owed anything to anyone” (cf. “I haven’t never owed nothing to no one” in negative-concord dialects of English, and “Nunca devi nada a ninguém” in Portuguese, lit. “Never have I owed nothing to no one”, or “Non ho mai dovuto nulla a nessuno” in Italian). Note that negative polarity can be triggered not only by direct negatives such as “not” or “never”, but also by words such as “doubt” or “hardly” (“I doubt he has ever owed anything to anyone” or “He has hardly ever owed anything to anyone”). In English, double negatives can sometimes be used for affirmation (e.g. “I’m not feeling not good”), an understatement of the positive (“I’m feeling good”). There isn’t no other way.= There’s some other way. Negative: isn’t (is not), no vs.  There isn’t no other way!= There’s some other way!

“I don’t disagree” could mean “I certainly agree”, “I agree”, “I sort of agree”, “I don’t understand your point of view (POV)”, “I have no opinion”.

Whereas some double negatives may resolve to a positive, in some dialects others resolve to intensify the negative clause within a sentence. For example:

  • I didn’t go nowhere today.
  • I’m not hungry no more.
  • You don’t know nothing.
  • There was never no more laziness at work than before.

In contrast, some double negatives become positives:

  • I didn’t not go to the park today.
  • We can’t not go to sleep!

I don’t want to know no more

I’m not doing nothing; I’m thinking.

I did not go nowhere resolves to I went somewhere.

“If you don’t wanna go nowhere…”

“Badges? We ain’t got no badges. We don’t need no badges!.”

“I won’t not use no double negatives”

“I ain’t never heard of no licence.”

“Inside toilet? I ain’t never not heard of one of them nor I ain’t nor nothing.”

“We don’t need no education / We don’t need no thought control”

(I Can’t Get No) Satisfaction“)

Other languages, doubled negatives intensify the negation – negative concord or emphatic negation

Portuguese, Persian, French, Russian, Spanish, Neapolitan, Italian, Bulgarian, Czech, Polish, Afrikaans, Hebrew, Ukrainian, and some dialects of English, such as African-American Vernacular English, are examples of negative-concord languages

negative-concord languages are more common than those without.

And what about 2 Positives … can they make a Negative? ,,, ?

A English professor was giving a lecture on ‘Double Negatives’ in his class and said, “It is interesting that two negatives make a positive but there are no two positive words that can make a negative in the English language.”

‘Yeah, right.’ A student exclaimed from the back of the class.

Negatives

Puzzles:

Maker Tools

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I recently attended a Rapid Prototyping class at our local Vocademy.  Merle, my wife, gave me the class for Hanukkah/Christmas.  The class introduced me to 3D printing, Laser Engraving, Laser Cutting, CNC machinery and much more.  I learned that “If you can’t open it, you don’t own it!”, among much more.  It was a wonderful experience which encouraged me to buy a 3 in 1 prototyping tool.  I bought the version 1 of SNAPMaker.

SnapMaker

I have enjoyed exploring the 3D printer to make elevation maps of mountainous areas, using free web sites TouchTerrain and Terrain2STL.  Here are 3 that I did of my brother’s home area in Mendocino County California.  I used 3 different scalings of elevation to test psychological realism.  I liked the times 2 and times 3 exaggerations best (actually I settled on 1.628; the Golden Ratio):

BellSprings

Other explorations include an artistic hummingbird (Broken Wing & Crooked Snout).  This was my first experience with 3D Printer Crutches:

HummingBird

And several Etchings, Engravings and a wonderful exotic gear arrangement:

Products

Here are the Cubic Gears in action:

 

Here is a wonderful Spiral Gear arrangement from Thingiverse (a source of Open Designs)

SpiralGears

And I’m using the Laser Cutting capability to make Boxes (thanks to ‘MakerCase’ another Open source for Designs):

GLBox&MapRiversideBox&Map

And even more …

Globe

Escher

Etchings

LakeOutline

M.C. Escher Tiles

MakerEscher

Who knows what lies in the future?  I’ve barely touched the CNC Carving (Router) capabilities of my SnapMaker.

Here are some lessons I learned at the Prototype class and where to find Information.

Lessons Learned:

Be aware that there exists a thriving community of help and free stuff out there.  I think that you should initially use only free software and designs, then later select your professional package.

Consider the NATIVE language and Computer platform compatiblity of a software package and the system/computer (Apple or PC or …) you wish to use.  By NATIVE I mean, the platform upon which the software was initially developed.  Ported software is rarely complete and error free.  By PORTED I mean,  written in one language, then translated to another.

Consider the hidden got-ya’s of the commercial software world.  AutoDesk FUSION 360 will give generous TRIAL use; to students and hobbyists, BUT they encourage storage of your designs on THEIR cloud.  You may have to buy a years subscription (~$400) to have access to your designs. UNLESS you were able to save to local media.

Consider the file types that a software package will accept as input and output.  Consider your total package of software/hardware tools and the formats accepted throughout.

Be aware that there a 2 graphic representation types in current use – Vector and Raster.  The difference can be significant when representing an image.  JPG, BMP, GIF, PNG are some Raster formats, while SVG and DXF are Vector formats.

Be aware that while g-code is the standard format for CNC and 3D-Printer applications, not all machines will accept standard g-code – remember the old IBM language enhancements hype (PL/1 was their universal language).  A little aside; I worked for an outfit that bought into IBM’s pitch to use only PL/1, later to find that all their custom software applications would only run on IBM machines. And that it was impossible to get a competitive bid when wanting to upgrade to newer hardware (Married to IBM and PL/1 until someone (me) translated their software into Cobol and Fortran).

Be aware that access to home CNC devices is very new and is providing great opportunity for innovative uses and applications.  Keep an eye out for imaginative and exciting news and events – like MAKER Faires, MAKER books and publications.

Computer-Aided Design Tools:   Information is:  HERE and HERE

AutoDesk FUSION 360       Very Detailed and Complete – More than Needed

TinkerCAD                           Very Easy to Use and surprisingly Complete

InkScape                              Free and quite Adequate

OpenSCAD                           Free and Interesting and Different approach (programming)

Blender                                Free and Very Detailed and Complete – More than Needed

Mathematica                      Free and Interesting

SketchUp                             Free and Interesting

CADMapper                        Free and Interesting

Photo Editors:     Information is: HERE and HERE

InkScape                             Free and quite Adequate

Retina Engrave                  Interesting

Slicers:                  Information is:  HERE

IdeaMaker                           Interesting, with Repair Capabilities

Formats:                Information is:  HERE

STL                                       Stereolithography – 3D Standard 

SVG                                       Vector Graphics Standard

JPEG                                     Photo Standard – Raster Graphics

G-Code                                 CNC Standard (somewhat)

Sources:                Information is:  HERE

Terrain2STL                       Good Source of Map Data

TouchTerrain                     Better Source of Map Data

Thingiverse                        Great Designs

MakerCase                          Boxes made Easy

Filaments:           Information is:HERE

PLA                                       Biodegradable

CNC Devices:        Information is: HERE and HERE

Snapmaker                         Toutorials HERE

The approach I took to using my SnapMaker is as follows:

I am working on an Apple computer, the original SnapMaker, using only free software packages, and doing very basic operations.  What follows is a record of my discoveries.  These tools and capabilities may no longer exist, and more efficient ones are being offered regularly.  Please use the following as a guide only.

FORMATS

CNC formats

I started by identifying the FORMATS of the files required to communicate the information. I only considered 4 file formats (STL (stereolithography), SVG (Scalable Vector Graphics), JPEG (Joint Photographic Experts Group), and G-Code (computer numerical control programming language)).  The rest can wait for later.

3D printing requires an import of a STL format file.  STL is the standard format for communicating 3 dimensional information.  The engraving and carving requires an import from a JPEG or SVG format file.  JPEG is a common 2 dimensional photo (raster) format.  SVG is a common 2 dimensional image (vector) format.  The remaining format of interest is G-CODE which is the standard CNC (computer numerical control) format.  These are the only formats that I concerned myself with initially, there are many many more!

SOURCES …

Next, I concerned myself with where I would find sources of designs in the appropriate formats.  I will eventually create my own designs using CAD (computer-aided design) software, but I needed to see results now.

For 3D printing, a perfect starting source is THINGIVERSE.  Makers donate finished designs to this free website.  The designs are presented in STL format, so all I needed to do was download the files and then import them into SnapMaker.  I had a desire to make 3-dimensional maps of mountainous terrain.  I found TERRAIN2STL and TOUCHTERRAIN, two free websites that provide STL format files which import directly into the SnapMaker. 

I also wanted to make boxes using the SnapMaker laser cutting capabilities.  I found MAKERCASE another free website which produces SVG format files which import directly into the SnapMaker.  However a wrinkle developed when the box design assumed a Laser Cutting bed larger than the 125 mm by 125 mm bed of the SnapMaker.  More about that later.  

For laser engraving I found that PHOTOS (an Apple utility) would produce JPEG files from imports from my camera, my phone, the computer screen capture (CMD+SHIFT+3), Google images, and any other photo site.  Usually the editing required was accomplished in PHOTOS.  More about manipulations later.

SOFTWARE  …

I next searched for free software packages that would enable me to design products and export file formats compatible with SnapMaker.  The following diagram identifies the software packages which I found and used: 

MakerFormats

Rarely will you find a single package to make all the manipulations you desire.  The following flow chart identifies the steps and tools used to accomplish my 3D terrain mapping design:  

MakerFlow

I obtained the basic 3D map from TOUCHTERRAIN.  I next wanted to remove the water from the lake so that I could fill in depth information.  This activity required a lake outline, which I obtained using a Google Map image captured in JPEG format.  I imported the Google map into INKSCAPE where using the Bezier curves tool I obtained an outline of the lake.  The outline (in SVG format) and the Terrain map (in STL format) were imported into TINKERCAD or BLENDER where a Boolean difference was performed to accomplish the removal of the lake.  The resulting STL file was imported int SnapMaker for printing.  The outline (in SVG format) was converted to STL using TINKERCAD or BLENDER for editing to add water depth information.

The problem of restricted bed size mentioned above, was solved by ungrouping the components of the box (top, side, bottom) into separate SVG files using INKSCAPE.  

YOU

Your imagination and creativity will guide you to the appropriate, efficient and safe tool as experience grows.

 

Magic Cards, Explained

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I found the Binary Notation connection to this card trick very interesting.  I was struck by the educational possibilities for people who have had an introduction to Number Theory, but needing a practical application to make sense of it.  Young people of the age of ‘formal thought’ are attracted to magic and the challenge of ‘how it is done’ understanding. I put together this brief explanation of the math involved in creating this card trick.  When finished viewing you must click on the back button “<” to return to this page …

To see the trick and my explanation click here:

I wanted to use my new laser cutter, so I made boxes to serve the same function as the cards above:

Each box contains the appropriate number of beads (0,1,2,4,8,16, or 32). The subject chooses a secret number, then empties the box(s) containing that number on its face, counts the beads, and amazingly they add to the secret number!

Here is a video of a analog computer doing arithmetic in Binary …

Alternative Energy

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Lately I’ve been thinking of other ways to satisfy my power needs.  At our home in the Mountains we are very close to being “off the grid”.  We have our own water supply, our own sewage system, we could burn wood exclusively for heat, but we are far from being self sufficient.

Electric power is critical for our lifestyle.  

We have a stream flowing through the property, which could supply some power following rain storms or during Spring run-off, but continuous supply of power from it is not possible.  We have limited Sun access for much of the day.  We have lake breeze many afternoons.  We have tremendous temperature differences during the Winter, between Air temperature and Lake temperature.  Geothermal is being used by neighbors via old wells and heat transfer systems.

The hope is that with sufficient energy storage (perhaps my electric car), using the sources available we might be able to be “off the grid”.

Now … how do I turn that hope into reality … hum … 

For many years people around Mendocino county, California lived remotely with plenty of resources to explore off-the-grid existence.  Much of their effort was recorded and directed by a magazine Home Power.  I look forward to searching through the archived issues in the local library.

I have obtained a WaterLilly and will explore it’s use next year.  I might even tow it behind the canoe to charge the cell phone (which probably would have no service bars).

We have installed a new fireplace insert which makes the living room very comfortable.  A additional feature is the Fireplace Fan which requires no external power and is driven by converting fireplace heat to electrical energy and using that to turn two fans.  Hopefully more than the living room will be comfortable.

The concept of Gravity Weight attracted me sufficiently to install a series of LED lamps powered by a falling weight.  We get about 20 minutes of light per pull.  You could get a lot more time if the weight were falling from a tree (and the chain were long enough, and …)

The Stirling Engine represents for me the most promising alternative energy source for small applications.  The temperature differences that we have, particularly in Winter, offer possibilities for future exploration.  The video guy in the link above, is Bill Nye (The Science Guy) of Science Education fame.  If you’re either too old or young to remember him it would be worth your while to Wiki him.

A Mendocino Motor is just too beautiful to ignore.  The combination of Solar energy and magnetic levitation is very exciting.  An example of the kind of Engineering you would expect to find in Mendocino County, California, USA!

I have a rotating wheel device using a Memory Wire for power.  This wheel a very fragile structure requiring short (duration and intensity) use.  A robust application is the Muscle Wire (spring) robotic muscle simulation.  This video discusses in flowery expressions the possible future where Nitinol plays a primary role in energy production. While this video attempts to explain the atomic structure responsible for the memory ability.

The possible uses are so numerous as to be “low hanging fruit”.

All of these approaches hold promise of ‘scaling up’, but in their present state, there are trade-offs that are not that easy to make.

Here are videos of my explorations thus far:

 

Laboratory Test Equipment

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I have been attracted to the numerous laboratory test equipment that I came in contact with while being an engineer, but couldn’t justify purchasing them.  Recently I came across reasonably priced ‘build your own’ kits, and have enjoyed playing with them:

PowerSupply

The Power Supply above will provide 0 to 12 volts DC to the red & black clips, added features are a continuity tester with buzzer (green), a square wave generator (yellow), and a logic probe (white).  And all for about $14.

SignalGenerator

The signal generator above will produce square, sine, or triangular waves with frequencies from 1 to 1MHz.  For approximately $13.

Oscilloscope

The oscilloscope above also functions as a frequency counter and will display a single channel input.  For approximately $20.

ComponentTesting

The component tester above will measure resistance, induction, capacitance, frequency and voltage while testing transistors.  Additionally it will generate square waves and a pulse width modulation signal.  And all for approximately $15.

I’ve had the fun of building them and am now looking for uses.

Play NIM

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For my Christmas gift to young people next year (2020), I plan to put together a Play Nim game package.  The Box will be one that I produce with my new laser cutting skills.  The instructions and explanation will be the following:

PlayNIM

Since High School days I’ve had a fascination with the game of NIM.  I’ve tried on several occasions to write a program to play the ‘perfect game’, but for one reason or another didn’t make it.

Recently I was having fun with a Arduino MEGA 2560 microcontroller.  I started with a UNO board but quickly found that it didn’t have enough inputs for my needs.  The MEGA has 54 digital inputs and 16 analogs, that should hold me for awhile.

Now I’ve done it!  Here is a picture of the hardware side of the solution:

PlayNIM

The software side is harder to show, but it works!  Sorry, but this is all I have to show:

NimCode1

NimCode2

NimCode3

NimCode4

NimCode5

NimCode6

NimCode7

QuasiCrystals

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QuasiCrystals are crystal structures that are non-repeating. They were thought to be a mathematical curiosity that did not appear in nature. But in 1982 Daniel Shechtman detected them in electron microscope images of a rapidly cooled metal alloy. He received much resistance including when Linus Pauling, a colossus of science and a double Nobel laureate, mounted a frightening “crusade” against him. After telling Shechtman to go back and read a crystallography textbook, the head of his research group asked him to leave for “bringing disgrace” on the team. “I felt rejected,” Shachtman said. As it turned out he was right and was awarded the Nobel Prize in Chemistry in October 2011.

Earlier in the 1970’s Sir Roger Penrose was playing around with Penrose Tiles.  This is Roger Penrose standing on a floor tiled with one of his patterns:

And earlier than that M. C. Escher was playing around with repeating and non-repeating tiles:

And still earlier than that medieval Islamic architects were adding these tiles to Mosques and other structures, using only 5 geometric shapes

All of these expressions have fascinated me for years.  Here are some of my favorites, one is more beautiful then the last one: