THE ART OF LETTING GO IS A WAY OF LIFE…

We let go so that we may fly high (happiness and peace).

Eternity

He who binds to himself a joy
Does the winged life destroy
He who kisses the joy as it flies
Lives in eternity’s sunrise.

William Blake.

Links:

Starting Out Small: A Collection of Talks for Beginning Meditators

Be Nobody

When one studies Buddhism, one studies oneself; when one studies oneself, one forgets oneself; when one forgets oneself, one is enlightened by everything and this very enlightenment breaks the bonds of clinging to both body and mind, not only for oneself but for all beings as well.” — Ven.  Dogen-Genjokoan.

David Hilbert’s Tenth Problem and the Art and Science of Problem Solving

“Our goal is to write and publish a manuscript about our solution to David Hilbert’s Tenth Problem. The work is ongoing and very challenging. And we hope to complete our work by January 06, 2023.” — Dave.

Important Reference Links:

Searching for a valid proof of the abc Conjecture;

Are Diophantine equations in four variables solvable?

P versus NP Problem: Is P = NP?

What types of Diophantine equations are unsolvable?

On the Shapes of Surfaces and the Solutions to DEs;

Getting Things Done (GTD) In Mathematics.

IMPORTANT UPDATE: WE BELIEVE THE GOAL IS NOT COMPLETED…

GO BLUE! 👍✌

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Does the grandest universe fill the void?

Is there a place or time when all is okay?

Or is all hope hopeless?

There’s nothing that stands against the test of time?

Change, change, change, the void makes it all a sham?

Out of the void, we came to be, and into the void, we cease to be?

Memories, dreams, accomplishments, civilizations, …, life, all fade over time and over space?

Only love can fill the void. And love is eternal. Amen!

Let go…

Is P = NP? Yes! 👍✌

Yes! P = NP = NP-Complete! Wow! (Please see the link above for proof.)

Thank Lord GOD! Praise Lord GOD! Amen! 😊

Go Blue! 👍✌

Dave.

One-Time
Monthly
Yearly

We need your monetary support to complete our current work.

Please make a one-time, monthly, or yearly donation.

Please make a monthly donation.

Please make a yearly donation

Choose an amount:

$5.00
$15.00
$100.00
$5.00
$15.00
$100.00
$5.00
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$100.00

Or enter a custom amount:

$

Your contribution is greatly appreciated. Thank you!

Your contribution is greatly appreciated. Thank you!

Your contribution is greatly appreciated. Thank you!

DonateDonate monthlyDonate yearly

You are the One! ❤️


“When I was a child, I spoke as a child, I understood as a child, I thought as a child; but when I became a man, I put away childish things.” — 1 Corinthians 13:11.

Lord GOD loves you more than any other being including you.

Please remember that when you feel less of yourself or when you feel alone.

Or when you begin to dislike self.

And it matters most that Lord GOD loves you the most!

Beware of human beings succumbing to evil and deception.

Please fear Lord GOD (fear wrongdoing and fear the consequences of wrongdoing).

Homeless, poor, despised, sad, sick, victimized, cheated, ashamed, afraid, abandoned, lost, hated, spurned, or even on death row, Lord GOD loves you when all others may not.

Please have the greatest faith in Lord GOD.

You are the one that Lord GOD loves in this life and beyond it.

Amen!

Important Links:

“Do not love the world or the things in the world. If anyone loves the world, the love of the Father is not in him.”  1John 2:15.

“The human world is afflicted because of its wickedness…”
“Living Above Deception” by Pastor L.H. Woodford II (Life in Zion Ministries)

“The Prince”;

“Machiavelli’s The Prince: Still Relevant after All These Years”;

Manipulation and Deception;

EU Set to Ban Surveillance, Start Fines Under New AI Rules;

UN rights chief urges a moratorium on AI that risks rights abuses;

“In a democracy, everybody has the chance to be everything. There is no superior race and no inferior race. All of us have royal blood. We’re all God’s children. Everybody matters.” Rev. Jesse L. Jackson.

Why did God create the integers?

What is the probability that God exists?

Secrecy (2008 documentary)”;

“The Quest for Peace and Justice”;

Christian McBride – Overture / The Movement Revisited (Official Audio)

“Love: Our True Destiny”;

The LORD’s Prayer
12 Attributes Of Above Average People — According To Philosophy;
Satan, the devil/evil, is not apart from us. May Lord GOD help us overcome evil. Amen!

Daily Devotionals;

Bible Verses About Protection.

When one studies Buddhism, one studies oneself; when one studies oneself, one forgets oneself; when one forgets oneself, one is enlightened by everything and this very enlightenment breaks the bonds of clinging to both body and mind, not only for oneself but for all beings as well.– Dogen-Genjokoan.

When faced with the vicissitudes of life, one’s mind is unshaken, and it is free from sorrow, free from defilements, and free from insecurity. This is the highest blessing!

And having acted that way, everywhere undefeated and everywhere finding happiness. This is the highest blessing! Amen!

World Peace ~ S.N. Goenka — Astitva Meditation

“There cannot be peace in the world when people have anger and hatred in their hearts. Only with love and compassion in the heart is world peace attainable.” ― S. N. Goenka

World Peace ~ S.N. Goenka — Astitva Meditation
🙂

“A film about a messed up world and how to fix it. Sprinkled with music, this documentary lyrically weaves a tapestry through 20 countries and is as magical as it is informative.” — One Peace at a Time;

“Instead of focusing on the negative effects of climate change, this documentary spotlights people suggesting solutions and their actions.” — Tomorrow.

“Welcome those big, sticky, complicated problems. In them are your most powerful opportunities.” — R. Marston.


What could be an indirect proof of Goldbach’s Conjecture?

We can attempt proof of Goldbach’s Conjecture via proof by contradiction.

Suppose there exists a positive even integer, e > 4 * 10^{18}, that is not a sum of two odd primes.

We let e = p + nq (or equivalently, e ≡ p mod q) where odd primes, p and q, are less than e with odd integer, n > 1.

But there are k odd primes, p_{i}, less than e. Therefore, we generate a system of k Diophantine equations:

e = 3 + n_{1}q_{1};

e = 5 + n_{2}q_{2};

e = 7 + n_{3}q_{3};

e = p_{k} + n_{k}q_{k}

where odd integer, n_{i} > 1 for i \in {1, 2, 3,…, k}.

Remark: We must show that least one of those equations is false (contradicting our assumption that e is not a sum of two odd primes) to prove Goldbach’s Conjecture is true.

Claim: We strongly believe Goldbach’s Conjecture is provable with some more analysis and with the help of some tools/methods from prime number theory.

A Crucial Idea: The distribution of all odd primes less than e helps us to prove Goldbach’s Conjecture:

Good Luck! 🙂

Dave,

Reference Link: Proof of Goldbach Conjecture.

Is the Euler–Mascheroni constant an algebraic number or a transcendental number?

Is the Euler–Mascheroni constant (\gamma ) an algebraic number or a transcendental number?

Valid Assumption (Convergence): 1.  \gamma = \frac{\sqrt{z^{2} - 1}}{2}.

Remark: We tentatively assume z is an algebraic number (rational number) where 1.52 < z < 1.53 .

We can apply Newton’s Method to equation one and study its convergence with regards to \gamma .

Warning: This may be a difficult problem…

If x = \gamma is algebraic, then \sum_{i=0}^{j } a_{i } x^{i } = 0 where a_{k } \in \mathbb Q with j > 0 . Right?

  1. Does \gamma = | \frac{ a_{0 } }{a_{1 }}| ?
  2. Does \gamma =\frac{ -a_{1 } \pm \sqrt{a_{1 } ^2 -4a_{2 }a_{0 } } }{2a_{2 }} ?

This may be a good start. We should investigate further. Good Luck!

Dave.

Relevant Reference Links:

Mascheroni_constant;

Newton’s_Method;

Is the Euler–Mascheroni constant an algebraic number?

A Borrowed Life (Existence)

 “Naked I came from my mother’s womb and naked I shall return there. The Lord gave and the Lord has taken away; Blessed be the name of the Lord” —  Job 1:21.

This life is not ours.

Though we claim it as ours.

And we are the masters of our fate too.

Right??

Wrong!!

This life, we claim as ours, is a precious gift from Lord GOD.

And for a while, we act, we grow, we enjoy, …, we cry, we succeed.

And we eventually die (we return the gift).

It’s all providence, the Lord’s Domain.

Amen!

Dave.

“Holy, Holy, Holy (Lord GOD, Almighty) lyrics and music”

David Hilbert: The Architect of Modern Mathematics

“In July 1915, Albert Einstein paid a visit to the University of Göttingen (Germany) on the invitation of the mathematician David Hilbert (1862-1943). It was a fruitful encounter for both men that continued over the following months with an intense scientific correspondence. Einstein described that period as the most exhausting and stimulating of his entire life, the result of which was a series of studies and articles, authored by one or the other scientist, in which they formulated the equations of the gravitational field of the General Theory of Relativity (GTR)…

Source Link:

David Hilbert: The Architect of Modern Mathematics.

Relevant Links:

Mathematical Problems;

Hilbert’s Problems: 23 and Math.

“The further a mathematical
theory is developed, the more
harmoniously and uniformly
does its construction proceed,
and unsuspected relations are
disclosed between hitherto
separated branches of the
science.”

“We must know. We will know!”David Hilbert. 👍✌

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