You are the One! ❤️

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.


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”;

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.


A Borrowed Life (Existence)

This life is not ours.

Though we claim it as ours.

And we are the masters of our fate too.



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.



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


Tuesday (12/21/2021):

We shall be fresh (energized, original, and grateful) throughout the day. Amen! 👍✌

Wednesday (12/22/2021):

“When I grow up, I want to be happy.” — John Lennon. 👍✌

Let’s be grown-up (wise and thoughtful) and happy today. Amen!

21 days of mindfulness – Tips for mindful living - Day 20 - Mouths of Mums

Thursday (12/23/2021):

Fort Worth Dentistry | Dr. Jorge Gonzalez, DDS, MS, CDT | West 7th Smiles
Smiles galore! 😊

We should always have a reason to smile. But if we do not have a reason to smile, then we should really smile. Amen! 😊

A Smile
Poet: Unknown

A smile is a cheer to you and me
The cost is nothing – it’s given free
It comforts the weary – gladdens the sad
Consoles those in trouble – good or bad
To rich and poor – beggar or thief
It’s free to all of any belief.
A natural gesture of young and old
Cheers on the faint – disarms the bold
Unlike most blessings for which we pray
It’s one thing we keep when we give it away.

“A person worthwhile is a person with a smile when things go wrong (Murphy’s Law).” — Ven. S.N. Goenka. 👍✌

Friday (12/24/2021):


We are a work in progress, and we fail more often than we succeed at the best we can be (truthful, decent, noble/upright, etc.)

“The gate to happiness/peace is self-compassion (forgiveness). Amen!” 👍✌

Saturday (12/25/2021):

What Does Christmas Mean to You Today? | Clear Lake, TX News TAPinto

“We forgive, and we are forgiven. In Jesus’s name, we pray. Amen!” 👍✌

Sunday (12/26/2021):

“May all beings be happy and peaceful. May they be free from suffering and free from causing suffering. And may they share in the blessings springing from the good we have done. Amen!”

Monday (12/27/2021):

A Morning Wish
by Excelsior Banner

The sun is rising on the morning of another day.
What can I wish that day may bring to me?

Nothing that shall make the world or others poorer;
nothing at the expense of other men;
but just those few things which in their coming do not
stop with me, but touch me, rather,
as they pass and gather strength.

A few friends who understand me,
and yet remain my friends.

A work to do which has real value,
without which the world would feel the poorer.

A return for such work is small enough not to
tax unduly anyone who pays.

A mind unafraid to travel, even though
the trail is not blazed.

An understanding heart.

A sight of the eternal hills and unresting sea, and
something beautiful the hands of man has made.

A sense of humor and the power to laugh.

And the patience to wait for the coming of those things,
with the wisdom to know them when they come.

Tuesday (12/28/2021):

There's no place like home – Word For Life Says…
Amen! 😂

“Home is where the heart is. And where there is a good heart. There is a good home.” 👍✌

Never Lonely Nor Alone

The ever-changing world is our home,

And the mind-body complex is the vehicle that we traverse by.

Never apart from it, we meet some of the countless possibilities

Which we are not apart from.

So, all are one, and one is all.

And we are at home, never lonely nor alone. — Dave.

Wednesday (12/29/2021):

God's Grandeur by Hopkins


Thursday (12/30/2021):

The Quest

I am an ant (or a number theorist) looking for the greatest happiness in small things.

I am the king of a great kingdom looking to expand my empire so that I
may find the greatest happiness wherever it may be.

I am an astronomer looking the farthest the eye and machine can see
into the depths of the heavens for it as well.

Hmm. I’m just a simple monk on top of an anthill in an orchard of a great kingdom beneath the heavens on a full moon night.

And I am enjoying the eternal bliss from within.

Amen! — Dave. 😂

Friday (12/31/2021):

Let America Be America Again

Langston Hughes – 1902-1967

Let America be America again.
Let it be the dream it used to be.
Let it be the pioneer on the plain
Seeking a home where he himself is free.

(America never was America to me.)

Let America be the dream the dreamers dreamed—
Let it be that great strong land of love
Where never kings connive nor tyrants scheme
That any man is crushed by one above.

(It never was America to me.)

O, let my land be a land where Liberty
Is crowned with no false patriotic wreath,
But opportunity is real, and life is free,
Equality is in the air we breathe.

(There’s never been equality for me,
Nor freedom in this “homeland of the free.”)

Say, who are you that mumbles in the dark?
And who are you that draws your veil across the stars?

I am the poor white, fooled and pushed apart,
I am the Negro bearing slavery’s scars.
I am the red man driven from the land,
I am the immigrant clutching the hope I seek—
And finding only the same old stupid plan
Of dog eat dog, of mighty crush the weak.

I am the young man, full of strength and hope,
Tangled in that ancient endless chain
Of profit, power, gain, of grab the land!
Of grab the gold! Of grab the ways of satisfying need!
Of work the men! Of take the pay!
Of owning everything for one’s own greed!

I am the farmer, bondsman to the soil.
I am the worker sold to the machine.
I am the Negro, servant to you all.
I am the people, humble, hungry, mean—
Hungry yet today despite the dream.
Beaten yet today—O, Pioneers!
I am the man who never got ahead,
The poorest worker bartered through the years.

Yet I’m the one who dreamt our basic dream
In the Old World while still a serf of kings,
Who dreamt a dream so strong, so brave, so true,
That even yet its mighty daring sings
In every brick and stone, in every furrow turned
That’s made America the land it has become.
O, I’m the man who sailed those early seas
In search of what I meant to be my home—
For I’m the one who left dark Ireland’s shore,
And Poland’s plain, and England’s grassy lea,
And torn from Black Africa’s strand I came
To build a “homeland of the free.”

The free?

Who said the free? Not me?
Surely not me? The millions on relief today?
The millions shot down when we strike?
The millions who have nothing for our pay?
For all the dreams we’ve dreamed
And all the songs we’ve sung
And all the hopes we’ve held
And all the flags we’ve hung,
The millions who have nothing for our pay—
Except for the dream that’s almost dead today.

O, let America be America again—
The land that never has been yet—
And yet must be—the land where every man is free.
The land that’s mine—the poor man’s, Indian’s, Negro’s, ME—
Who made America,
Whose sweat and blood, whose faith and pain,
Whose hand at the foundry, whose plow in the rain,
Must bring back our mighty dream again.

Sure, call me any ugly name you choose—
The steel of freedom does not stain.
From those who live like leeches in the people’s lives,
We must take back our land again,

O, yes,
I say it plain,
America never was America to me,
And yet I swear this oath—
America will be!

Out of the rack and ruin of our gangster death,
The rape and rot of graft, and stealth, and lies,
We, the people, must redeem
The land, the mines, the plants, the rivers.
The mountains and the endless plain—
All, all the stretch of these great green states—
And make America again!

Saturday (1/1/2022 ) & Beyond:

We Pray For Lord GOD’s Grace And For Global Peace and Global Health For Humanity and For Mother Earth! Amen! 👍✌

Happy 365 Days
Catherine Pulsifer

Happy New Year to you and your family too
May you celebrate the day and look forward to the new
May you see a year full of happiness and health
May your pockets be full and you will have your share of wealth.

Each year brings challenges that are for sure
Persist and persevere and you will endure.
For success will be found for the one who does that
At the end of the year, you will deserve a Goodman pat.

Take the time to enjoy those near to you
And always stay positive never be blue.
The important things in life are never things
It is the relationships we have and the love they bring.

Always be thankful for the blessings you have
And that includes being thankful for your Mom and Dad.
Be sure to thank God each and every day
For with God in your life, you will not go astray.

Let your attitude be positive and bright
And always walk away from those who want to fight.
For life is too short for anger and jealousy
Instead, live your life zealously.

Life each day and take the time to see
How wonderful the simple things of life can be.
And always make sure you have balance in your work and play
By doing that you will enjoy 365 days.

By following these suggestions you will be glad
As a very happy new year, you will have!

Good Luck! 👍✌

What are the Current Statuses of Hilbert’s Sixteenth Problem and the Important Question about the Lyapunov’s Second Method?

Reference Links:

Hilbert’s Sixteenth Problem;

Important Question about Lyapunov’s Second Method:

For what classes of ODEs, describing dynamical systems, does the Lyapunov’s Second Method formulated in the classical and canonically generalized forms define the necessary and sufficient conditions for the (asymptotical) stability of motion?

Relevant Reference Link:

Canonical Form of Lyapunov Second Method in Mathematical Modelling and Control Design

Theory and practice (application) should be mutually beneficial.” 👍✌


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


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.


Starting Out Small: A Collection of Talks for Beginning Meditators

Be Nobody

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.




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

Thank Lord GOD! Praise Lord GOD! Amen! 😊

Go Blue! 👍✌



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:


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

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

We can attempt a proof of Goldbach’s Conjecture via a 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! 🙂


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