Email Transmissions

Table of Contents

3 transmissions to Zen friends from March to May 2011

TP0. A New Age of Science? (2-5-12)

TP1. The Pulse of Attention: an Introduction (3-2-12)

TP1A. The Pulse of Attention: the Graph (3-13-13)

TP2. The Project's Methodology: Graphic Visualization (8-6-12)

TP3. The Pulse of Attention Interrupted (9-12-12)

TP4. The Triple Pulse Method (10-16-12)

TP5. Triple Pulse Experiment: Results (11-15-12)

TP6. The Triple Pulse & Sleep Deprivation (12-13-12)

TP7. The Triple Pulse & the Necessity of Sleep (1-18-13)

TP8. Why do Naps refresh our Cognitive Abilities? (2-10-13)

TP9. Liminals & Subconscious processes (5-9-13)

TP10. What does the Living Algorithm have to do with the Biology of Sleep? (9-5-13)

TP11. A Mathematical Web for Cognitive Mysteries (10-4-13)

A. Why does shifting modalities refresh our cognitive abilities? (4-10-13)

B. Core Concept vs Continuous Learning (6-8-13)

A7. How Mind affects Body (7-10-13)

A9. Shifting Attention (8-6-13)

Emails Dr. Medina & Dr. Raymond (2013?)

0. A New Age of Science?

Greetings,

Thanks for expressing interest in my exploration into the Mathematics of Living Systems. I am excited to present a fresh perspective on the human experience. I believe that mental energy has the ability to affect changes in the material world. Further, there are distinct rules behind this interaction. Understanding and applying these rules assists us to better actualize our unique potentials as human beings. I have developed a mathematical model for how Mind influences Body. The initial stream of articles (the first monograph) provides analysis combined with scientific evidence in support of this model.

Every New Moon we highlight a new article. ‘A New Age of Science?’ is the preface to the first monograph. The overall intent of this initial article is to show why there is a need for a fresh scientific perspective. By providing historical context we attempt to show that traditional Science, while providing marvelously for our external needs, has neglected our internal needs.

Emerging from the traditional scientific perspective has come a new scientific approach based upon the same rigorous methodology and criteria. The focus of this new perspective is upon our inner life. A fresh question is posed: What insights can modern Science offer that will aid us in our quest to fulfill our potentials? There are signs that cognitive science, biology, chemistry, psychology, and even business are embracing the challenge of this question. Our humble, yet ambitious, endeavor attempts to add mathematics to the mix of scientific perspectives.

To facilitate understanding of this fresh perspective, we have also generated an allegory to supplement the main text. In this lyrical approach, Life is the urge to actualize potentials. She is frustrated at being constantly objectified by Physics and Probability. They consistently ignore her spontaneity and inspiration, by attempting to put her in their little boxes. She began to feel that the rich potential of a mathematical relationship might not be available to her. To see why Life now has hope, check out Life's Frustration.

If you are interested in the Author's personal journey, read a brief account of his Disenchantment with the Traditional Perspective.

Any questions or suggestions drop some electronics towards my field.

Sincerely, the don creature

 

1. The Pulse of Attention: an Introduction

Salutations,

Happy New Moon.

Does the notion that humans are akin to a sophisticated computer appeal to you? Does it make you feel more secure to ‘know’ that the automatic behavior of atoms and molecules determines your human behavior? Or does this perspective grate on your nerves? Do you instead crave a scientific perspective that addresses your non-material nature – the part of yourself that you have some control over? Do you yearn for some guidance in your quest to actualize your potentials?

If so, we are excited to present a fresh perspective on the human endeavor. Instead of viewing humans as an animated sack of particles with no motive power of their own, we prefer to view humans as a synergy of matter and information. We employ the information to exert some control over their lives. These mathematical patterns simultaneously place innate constraints on human behavior and enable the complexity that characterizes our species. Understanding the codes behind these mathematical patterns allow us to better maximize the potentials of our personal living matrix.

This fresh perspective flies in the face of the traditional scientific mindset that humans don’t actually have any control over their own behavior. Accordingly, a series of articles are required to both establish credibility and provide insight into this way of thinking about the human experience. 

The Pulse of Attention, a.k.a. the Creative Pulse, is the most fundamental information pattern in our mathematical system. As we shall see, the Pulse of Attention governs vast areas of our lives. Our first article provides an introduction to this intriguing mathematical phenomenon that permeates our existence. As such, we are proud to present – The Pulse of Attention, an Introduction.

To cement understanding, we highly recommend our allegorical approach. Life is searching for a mathematical system that will provide her with some guidance in her quest to actualize her potentials. She hears encouraging rumors about the the Living Algorithm's mathematical system. However, she is disappointed when she finds out that this system doesn't contain the traditional graphs and multi-variable equations of Physics. To assuage her fears, Life is given an article delineating the differences between traditional graphs and the Pulse of Attention. See why Life is disappointed with the Living Algorithm's simplicity.

For some insight into the Author's personal context, check out why he chose The Path of Creative Freedom.

If you have any reactions, I would love some feedback, positive or negative. Remember, this is a work in progress. As such, it is subject to change. Reader feedback has already exerted a tremendous influence on the presentation of the material.

Thanks for investing your attention in this project. You will be well rewarded.

Sincerely, the mad scientist, commonly known as don

1A. The Pulse of Attention: the Graph

Greetings,

We celebrate the New Moon with another transmission regarding the Mathematics of Living Systems. We are 'dedicated to the proposition' that humans and all other living systems are continually digesting information in order to fulfill potentials. We further believe that our information digestion system is mathematical in nature and that the Living Algorithm defines this process. This stream of articles is intended to support these hypotheses and elucidate the rules behind the process. Understanding the rules enables us to make better choices.

The current article in the stream, The Pulse of Attention: the Graph, examines how the Living Algorithm produces the Pulse of Attention. In the prior article, we saw how the Pulse of Attention permeates human experience: from personal interactions, to student/teacher relationships, to music events, and productive sessions. Understanding the Pulse of Attention enables us to better comprehend our innate limitations and possibilities. With this information we can more easily catch our personal Wave (align with the Tao) and fulfill our personal potentials. The current article illustrates how the graph of this amazing phenomenon is produced.

After reading The Pulse of Attention: the Graph, the highlighted article, we highly recommend checking out our allegorical narrative. Life yearns for a mathematical system that will unlock the secret code to her matrix. She feels that this will assist her in her quest for self-actualization. Her options (Physics & Probability) are disappointing, to say the least. Then she meets the Living Algorithm, whose specialty is digesting and describing the ongoing nature of living data streams. Life is excited, as she, too, is obsessed with living data streams. Can the Living Algorithm be the mathematical system of her dreams? Life hits a snag when she finds that the Living Algorithm speaks in pictures rather than equations. Before proceeding further in their relationship Life demands to examine the methodology behind the Living Algorithm System. See why Life is still skeptical.

As always, feedback is encouraged.

Sincerely, the mad scientist

 

2. The Project's Methodology: Graphic Visualization

A New Moon Greetings,

Have you ever wondered how mental energy interacts with physical energy to change our world? I am excited to present a thrilling mathematical model that indicates how this process could occur. If we can understand the code to this living matrix, we can better actualize our potentials. Due to the boldness of our claims, it will take a stream of articles to establish the credibility and plausibility of our approach.

The current article, The Project's Methodology: Graphic Visualization, elucidates the visual methodology of our project – a mathematical approach to analyzing living experience. See how visualization taps into our subconscious powers of pattern recognition. Understand why seeing is the best way to recognize patterns in copious amounts of computer-generated data. As an example, we compare the raw data with the graphic visualization.

 

To better assimilate this alternate perspective, we recommend reading our allegory. In her search for a mathematical relationship that would assist her to make better choices in her quest to actualize her potentials, Life came upon the Living Algorithm. See why Life is encouraged by the Project's Visual Methodology.

To better understand the Author's underlying motivations, check out how Providence drives his investigation.

Any questions or comments send some electronics my way. Feedback is always appreciated.
Sincerely, the madman known as don

3. The Pulse of Attention: Interrupted

Greetings fellow travelers on the Path,

To celebrate the New Moon we are proud to present our latest transmission The Pulse of Attention: Interrupted.

Attention Pulse (red) w/Interruptions

Prior articles provided an introduction to the Pulse of Attention, as a concept and as a graph. We suggest that the Pulse of Attention applies to a broad range of human experience, in fact any phenonemena that requires an attention span. The highlighted article examines the parallels between the Pulse and a productive or creative session. For comparison purposes, we explore the effect of interruptions on the Pulse and on a productive session. Are there any symmetries between mathematical behavior and human behavior regarding interruptions? We don't know. To find out, you'll have to read The Pulse of Attention: Interrupted.

If you're interested in how the Author came up with this wild stuff, check out Origination of the Creative Pulse.

To better assimilate this unusual material, we highly recommend our metaphor Life & Living Algorithm agree on Interruption Phenomenon. Life's artistic friends challenge her need for a mathematical relationship. To take their relationship to the next level, Life requests some more evidence of correspondences between her behavior and that of the Living Algorithm.

Any questions or comments send some electronics my way. Feedback is always appreciated.
Sincerely, the madman known as don

4. Triple Pulse Method

Greetings all,

A New Moon is upon us. Another lunar cycle is just beginning. In celebration, we are proud to present Triple Pulse Method.

Thanks to those of you who are following these transmissions regarding Life as a synergy of matter and information. I want to stress that this mathematical study is evolving. The articles are not set in stone, but instead consist of electronic bits. Although fairly stable, the essays are sometimes revised due to insights or reader feedback. In fact, reader feedback for product refinement is a major purpose of these transmissions. This process has exceeded expectations. The mental energy of Reader Attention continues to transform this project in ways that were unimaginable to me. Keep it coming.

In the prior article, we examined what happens when the Living Algorithm's Pulse of Attention is interrupted. The mathematical behavior of the Pulse of Attention seems to parallel human behavior regarding interruptions to a productive session. The current article in the stream – Triple Pulse Method – examines another feature of the Living Algorithm - the Triple Pulse. We begin by exploring the method that is employed to generate this intriguing graph.

Any questions or comments send some electronics my way. Feedback, positive or negative, is always appreciated.

Sincerely, the madman known as don

5. Triple Pulse Experiment: Results

Greetings all,

We celebrate the New Moon with another transmission regarding the Mathematics of Living Systems – Triple Pulse Experiment: Results.

I am excited to continue building the framework of this amazing structure that links the Living Algorithm's information digestion system with human behavior. Ultimately, I am attempting to establish credibility for the seemingly self-evident notion that Mind influences Body. Whoa! The mathematics reveals how to better take advantage of this ongoing relationship between mental decision-making and the world that surrounds us. Incredible!

The Triple Pulse is the result when the Living Algorithm digests a specific data stream consisting of an alternation of a stream of 1s, followed by a stream of 0s and then another stream of 1s. Due to the relationship between the ‘on’ and ‘off’ cycles and the positive and negative pulses, some refer to this intriguing graph as a representation of the regular alternation of yin and yang.

What happens when this natural cycle of energy exchange is interrupted? We don’t really know. You’ll have to read the article Triple Pulse Results to find out.

To better assimilate these unusual results, we recommend our allegory. See why Life is fascinated by the Interaction between the Pulses.

As always any feedback is welcome.

Sincerely, the mad scientist

 

6. The Triple Pulse & Sleep Deprivation

Salutations,

We celebrate the New Moon with another transmission regarding the Mathematics of Living Systems – Triple Pulse & Sleep Deprivation.

In the prior article, Triple Pulse Results, we saw how ‘interrupting’ or 'shortening' the Rest Pulse of 0s had a negative impact upon the ideal potentials of the following Active Pulse of 1s. (Check out graphs at right). This reduction held true even though the data that generated the Active Pulse remained unchanged. This mathematical phenomenon reminded the Author of his experience with sleep deprivation as a student and father.

What do the experimental studies of cognitive science have to say about sleep deprivation? What is the scientific consensus regarding this widespread phenomenon? What explanations do they have?

We don’t really know. To answer these questions, you must read Triple Pulse & Sleep Deprivation – the 6th chapter in our study linking human behavior and the mathematics of the Living Algorithm.

If the Author's process of discovery is of interest check out The Surprising Emergence of the Triple Pulse.

To better assimilate the material, we recommend our allegorical perspective. Life is cautiously impressed with the Living Algorithm. In their initial encounters, the Living Algorithm's mathematical behavior was compatible with human behavior regarding interruptions to a productive session and the detrimental effects of sleep deprivation on cognitive performance. While encouraged, Life wants more confirmation that the Living Algorithm is the mathematics of her dreams. She asks: "Is there more evidence for the Sleep/Triple Pulse connection."

Thanks for investing your mental energy in this project. Your investment will be rewarded.

As always any feedback is welcome.

Sincerely, the madman

 

7. The Triple Pulse & the Necessity of Sleep

Greetings all,

We celebrate the New Moon with another transmission regarding the Mathematics of Living Systems – The Triple Pulse & the Necessity of Sleep..

1. Alternation of 1s and 0s

2. Uninterrupted 1s

Scientists have long been perplexed about the necessity of sleep. Without it, we die. However, sleeping also renders us vulnerable to predators. Further, sleeping, while resting our body, does not rest our brain. Our neural networks are crackling with neural activity when we slumber, perhaps even more so than when we are awake. If sleeping does not rest our mind and instead turns us into helpless prey, an obvious question arises: why do we invest a full third of every day in a state resembling hibernation. Thus far, the scientific community has not been able to provide a plausible explanation for this intriguing phenomenon. To see what the Living Algorithm System says about this cognitive mystery, check out the next article in the stream – The Triple Pulse & the Necessity of Sleep.

To reinforce the unusual ideas behind the highlighted article, we recommend our allegory. In her quest to find a mathematical partner that would be sensitive to her subtle needs and perhaps provide a little guidance, Life came upon the Living Algorithm. Doubtful that the Living Algorithm’s simplicity could ever hope to capture her complexity, Life demanded some scientific evidence linking her behavior with the Living Algorithm’s behavior. Rising to the challenge, the Living Algorithm provided evidence linking her mathematical behavior with two of Life’s phenomena: the detrimental effects of interruptions on a productive session, and the detrimental effects of sleep deprivation on our cognitive abilities. Secretly pleased but cautious, Life requested more evidence. She so wanted this mathematical relationship to work out, as she was looking forward to the guidance it could provide. She hoped that the Living Algorithm could reveal some hints regarding the code to her living matrix. Follow this link to see if Life is impressed with the patterns of correspondence between she and the Living Algorithm regarding the necessity of sleep.

With affection, the collection of neural networks that constitute,

don, the madman

 

8. Why do Naps refresh our Cognitive Abilities?

Greetings all,

Happy New Moon.

I am excited to continue building the framework of this amazing structure that links the Living Algorithm's information digestion system with human behavior. Ultimately, I am attempting to establish credibility for the seemingly self-evident notion that Mind influences Body. Whoa! The mathematics reveals how to better take advantage of this ongoing relationship between mental decision-making and the world that surrounds us. Incredible!

I am proud to present another transmission regarding the Mathematics of Living Systems – The Triple Pulse & the Importance of Naps. In prior articles we have seen that the behavior of the Living Algorithm's Triple Pulse is an accurate mathematical symbol for certain aspects of our sleep-related behavior. For instance, when our sleep is deprived our cognitive potentials suffer. Similarly, when the Rest Pulse is deprived, the Active Pulse’s potentials also suffer. Another parallel: If there is no sleep cycle, humans die. Similarly if there is no Rest Pulse, the Active Pulse, also dies. It is evident that the two systems, one mathematical and the other biological, go through a similar process. The essence of this process seems to be that an adequate Sleep cycle/Rest Pulse is necessary to maximize cognitive/Active Pulse potentials. In this sense, we could say sufficient sleep refreshes our cognitive abilities just as the Rest Pulse refreshes the Active Pulse.

     

Thus far in our investigation, we have only applied this mathematical symbol to mandatory night time sleep. Could this refreshment process also apply to naps – the non-essential sleep that usually occurs during middle of the day? Is it possible that the Triple Pulse symbol also applies to naps? What does the scientific evidence say about this unusual phenomenon? Will it invalidate any extension of our mathematical symbol? Or will the evidence broaden the extent of the connection between Living Algorithm mathematics and biology? To find out, you must read the next article in the stream – The Triple Pulse & the Importance of Naps.

With affection, the neural patterns that constitute don, the madman

Feedback is encouraged as always.

9. The Liminals & Subconscious Processes

Happy New Moon fellow Travelers,

To enrich your lunar cycle, we are proud to present Liminals & Subconscious Processes.

Thanks to those of you who are following these transmissions regarding Life as a synergy of matter and information. I want to stress that this mathematical study is evolving. The articles are not set in stone, but instead consist of electronic bits. Although fairly stable, the essays are sometimes revised due to insights or reader feedback. In fact, reader feedback for product refinement is a major purpose of these transmissions. This process has exceeded expectations. The mental energy of Reader Attention continues to transform this project in ways that were unimaginable to me. Keep it coming.

We've seen that the Active Pulse is associated with our conscious state and that the Rest Pulse is associated with our unconscious state of sleep, the green curve. What are the multicolored curves associated with? For some answers, check out the next article in the stream – Liminals & Subconscious Processes.

For the Author’s personal process of discovery, read Collaborator links Subconscious with the Liminals.

For Life’s reaction to this interaction, return to our allegory – Liminals/Subconscious correspondences raise big Questions.

Feedback is encouraged as always.

Regards, the neural patterns that constitutes don, the madman

 

10. What does the Living Algorithm have to do with the Biology of Sleep?

Greetings,

Happy New Moon. To enrich this lunar cycle, I am proud to present – The Biology of Sleep & the Living Algorithm. The intent of this article is to establish that the behavior of the Living Algorithm's Triple Pulse exhibits striking patterns of correspondence with cognitive science's view of the biology of sleep – Dement's 'opponent process' model. I am excited to report that our mathematics suggests that this process is a cooperative event rather than a battle, as is currently envisioned.

In prior articles, we've shown that the mathematical behavior of the Living Algorithm’s Triple Pulse has mirrored 4 unique behavioral phenomena: the Interruption Phenomenon, Sleep Deprivation, Sleep Necessity, and the Importance of Naps. Each of these phenomena is linked with human behavior. The current article extends these patterns of correspondence into the biological realm. What possible connection could there be between the mathematics of the Living Algorithm and The Biology of Sleep?

If you are interested in the Author’s process of discovery relative to this article, check out Moving in the Dark.

To see what Life thinks about this article, return to our metaphorical universe by following this link – Life amazed at growing web of compatibility.

Feedback is encouraged as always.

With affection, the don collection

11. A Mathematical Web for Cognitive Mysteries

Greetings,

Happy New Moon.

I am excited to continue building the framework of this amazing structure that links the Living Algorithm's information digestion system with human behavior. Ultimately, I am attempting to establish credibility for the seemingly self-evident notion that Mind influences Body. Whoa! The mathematics reveals how to better take advantage of this ongoing relationship between mental decision-making and the world that surrounds us. Incredible!

A Cool Graph

The highlighted article, A Mathematical Web for Cognitive Mysteries, consolidates what we've learned thus far. We've examined what cognitive science has to say about multiple aspects of human behavior: the Interruption Phenomenon, Sleep Deprivation, Sleep Necessity, the Importance of Naps, and now the Biology of Sleep. While the scientific community has verified each of these phenomena experimentally, they have no explanations. For instance, they have no idea why we need to sleep. In other words, these ubiquitous facts of existence remain cognitive mysteries. Further, each of these scientific factoids is isolated from the rest.

In contrast, the Living Algorithm's mathematical system has exhibited patterns of correspondence with each of these phenomena. As such, the Living Algorithm provides a mathematical web for these cognitive mysteries. The investigations of this initial notebook establish that there is a plausible link between our mathematical model and empirical reality. This is the ‘What’ (what happens). Future notebooks establish the ‘Why’ (why it happens).

Feedback is encouraged as always.

With affection, the madman

A. Why does shifting behavioral modalities refresh our cognitive abilities?

Salutations fellow Travelers,

Happy New Moon. To enrich your lunar cycle, we are proud to present The Triple Pulse & the 10-minute Rule. Have you ever wondered how mental energy interacts with physical energy to change our world? I am excited to present a thrilling mathematical model that indicates how this process could occur. If we can understand the code to this living matrix, we can better actualize our potentials. Due to the boldness of our claims, it will take a stream of articles to establish the credibility and plausibility of our approach.

Prior articles revealed distinct symmetries between 4 well-established cognitive phenomena and the mathematical behavior of the Living Algorithm System. The highlighted article presents patterns of correspondence with yet another cognitive phenomenon – cognitive science's 10 minute rule and the Triple Pulse. In both cases shifting modalities, whether numerical or cognitive, refreshes both the Active Pulse and Attention. For a complete discussion of these parallels between mathematical and human behavior, check out our highlighted article – The Triple Pulse & the 10-minute Rule.

For an account of the Author's personal journey, check out External Assistance: a Book & an Insight.

To better assimilate the current article, we highly recommend our allegorical dialogue between Life and the Living Algorithm. Besides summarizing the article's content, the two discuss the metaphorical nature of mathematics and how empirical results refine meaning. For a deeper understanding of the theoretical underpinning of this investigation, read Ten-minute rule compatibility sparks deep insights.

Feedback is encouraged as always.

With affection, the living matter that constitutes don, the madman

B. The 'Eyes open; Nobody home' phenomenon

A New Moon Greetings,

Have you ever wondered how mental energy interacts with physical energy to change our world? I am excited to present a thrilling mathematical model that indicates how this process could occur. If we can understand the code to this living matrix, we can better actualize our potentials. Due to the boldness of our claims, it will take a stream of articles to establish the credibility and plausibility of our approach.

Have you ever gone to a lecture or concert and been unable to pay attention, even though your eyes are open? Do you ever feel that your brain will explode if any more information is crammed in? Does your psyche ever scream for a break in order to better assimilate new material? What does the unusual graph at right have to do with these questions? For some plausible reasons behind these curious phenomena, read the current article, Core Concept vs. Continuous Approach to Learning, for some plausible reasons behind these curious phenomenon.

To help understand this unusual perspective, we recommend reading our allegorical essay, Symbol Refinement.

Feedback is encouraged as always.

Regards, the madman commonly referred to as don

A7. How Mind influences Body

Greetings all,

Happy New Moon.

I am excited to continue building the framework of this amazing structure that links the Living Algorithm's information digestion system with human behavior. Ultimately, I am attempting to establish credibility for the seemingly self-evident notion that Mind influences Body. Whoa! The mathematics reveals how to better take advantage of this ongoing relationship between mental decision-making and the world that surrounds us. Incredible!

Quantum of Mental Energy

Prior transmissions have been devoted to establishing patterns of correspondence between my mathematical model and many experimentally verified behavioral phenomena. These include the Interruption Phenomenon, Sleep Deprivation, Sleep Necessity, and the Importance of Naps. Other articles establish plausible linkages with the Biology of Sleep, cognitive science's 10-minute rule, Repetition for Learning, Posner's Attention Model and the Shifting Attention associated with Web surfing and social media. (The pink links are glossary items, the blue links are articles.) The many correspondences include behavioral, biological and neurological phenomena. Each of these experimentally verified phenomena provide empirical support for the Living Algorithm-based model for how mental energy is transformed into information energy, which in turn is translated into physical energy.

Now that credibility has been established, I am proud to present the current transmission, How Mind influences Body.

Questions, suggestions, and critiques are welcome, as always.

Regards, the don collection

A9. The Pros & Cons of Shifting Attention: Internet Surfing & Constant Texting

Greetings,

Happy New Moon. In celebration of this fresh lunar cycle we are proud to present our latest transmission – Shifting Attention.

Thanks to those of you who are following these transmissions regarding Life as a synergy of matter and information. I want to stress that this mathematical study is evolving. The articles are not set in stone, but instead consist of electronic bits. Although fairly stable, the essays are sometimes revised due to insights or reader feedback. In fact, reader feedback for product refinement is a major purpose of these transmissions. This process has exceeded expectations. The mental energy of Reader Attention continues to transform this project in ways that were unimaginable to me. Keep it coming.

Have you ever wondered about the pros and cons of Internet surfing and social networking? Do you ever feel strangely unsatisfied after frequent texting and Facebook referencing? Does all the information at the click of a button, leave you feeling empty? What's wrong with this lifestyle?

The current transmission – Shifting Attention addresses these questions. We begin with contemporary scientific understanding regarding constantly shifting or interrupted Attention. We follow with the refinements provided by our Information Digestion model. The model is based in Living Algorithm mathematics. The graph at right contrasts the energy density of complete Attention (red) with interrupted Attention (blue) - a young child or out of control texting. Check out the article to fill in the details.

Questions, suggestions, and critiques are welcome, as always.

Regards, the madman known as the don collection

Emails Dr. Medina & Dr. Raymond

Greetings Dr. Medina,

I have developed a mathematical model that seems to provide a plausible explanation for the necessity of sleep. If you have time, I would love some feedback.

Regards, don lehman jr.

805-966-1945

 

Greeting Dr. Raymond,

I have developed a mathematical model that seems to provide a plausible explanation for the harmful effects of interruptions. If you have time, I would love some feedback.

Regards, don lehman jr.

805-966-1945

 

PS. Winddance gave me your contact information.

 

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