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Integral of normal distribution

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I thought i made a discovery that the Sigmoid function was the integral of the Normal Distribution whose integral according to normal calculus has no solution. Unfortunately i was beaten by a few years https://www.sciencedirect.com/science/article/abs/pii/0096300395001905 This is my effort in basic on the caprice amstrad emulator showing a plot of the normal distribution integral and the sigmoid function overlapping exactly.  This is a hot peice of maths for a good mathematician like Terence Tao or Grant Sanderson, 3 blue one brown youtube to prove.   

Claude ai plsq algorithm explanation

PSLQ's core use: given a set of real numbers (as high-precision decimals), it searches for integers that combine them into an exact zero — revealing a hidden algebraic relationship. Its main applications: **1. Discovering closed-form formulas** Compute some constant (an integral, series, or physical quantity) to hundreds of digits, then run PSLQ against it plus a basket of "suspect" constants (Ï€, log 2, ζ(3), etc). If PSLQ finds a relation, you've likely found a formula — as with the BBP formula for Ï€, which let people compute individual hexadecimal digits of Ï€ without computing the ones before it. **2. Proving irrationality/independence (via negative results)** Run PSLQ with very high precision and large coefficient bounds and find *nothing*. That's evidence (not proof) that no simple relation exists — this is exactly the ζ(5) situation: exhaustive searches keep coming up empty, reinforcing that it's likely unrelated to Ï€, ζ(3), etc. **3. Physics — simplifyin...

Michael Reynolds Wonderful theory of everything posters

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Interesting potential discoveries from my program https://github.com/djbarrow/fundamental

Are they bullshit I don't know  Found match error=5.221292e-08 fundamental constant name=aperys_const value=1.202057e+00 e -e 4 3  / 4  power  +  *  2.718282e+00 -2.718282e+00 4 3  / 4  power  +  *  (e * (-e + power((4 / 3),4))) (2.718282e+00  * (-2.718282e+00  + power((4 / 3),4))) Found match error=8.600630e-07 fundamental constant name=zeta_5 value=1.036928e+00 3 1 3 e  +  / e  +  /  3 1 3 2.718282e+00  +  / 2.718282e+00  +  /  (3 / ((1 / (3 + e)) + e)) (3 / ((1 / (3 + 2.718282e+00 )) + 2.718282e+00 )) Found match error=4.714556e-05 fundamental constant name=mass_of_neutron value=1.674929e-27 result=1.675008e-27 mass_of_proton mass_of_electron mass_of_electron golden_ratio  *  +  +  1.672623e-27 9.109390e-31 9.109390e-31 1.618034e+00  *  +  +  (mass_of_proton + (mass_of_electron + (mass_of_electron * golden_ratio))) (1.672623e-27...

Another take on the theory of everything

 Light is a particle or a wave depending on how you measure it. watch sabine hosenfelders video from yesterday youtube, gravity and quantum physics has been unified, also her what is measurement video. information more fundamental than matter or particles, entropy disorder more fundamental than time, watch youtube dr julie mc coy describe the 48 parameters of light quantum entanglement. antimatter seems to be matter travelling backwards in time. wikipedia wheelers delayed choice experiment,spooky action at a distance,and collapse of the wavefunction. measurement is just perspective collapsing your reality the faster a ruler travels the shorter it gets. We are in a shared dream each measuring with their own eyes to an anorexic they are fat stop thinking neutonian. A measurement you take is only neccessarily true in your reality einstien time is relative, beauty is a perspective in the eye of the beholder. In the beginning was the word and the word was god consciousness in the gramma...

why factorisation and cracking rsa is hard

The fundamental theorem of arithmetic says that "factorization of every composite number can be expressed as a product of primes irrespective of the order in which the prime factors of that respective number occurs". The fundamental theorem of arithmetic is a very useful method to understand the prime factorization of any number.  Take counting 5    9     1  = 5*100+9*10+1 This is encoded optimally, every number encoded like this is encoded with equal probability, there is no room for encoding of factors, these are figured out by brute force trial division or some other expensive factoring algorithm. A number scheme which encodes factors can be made e.g encode the numbers with factors 8=2 2 2 6=2 3 This makes factorisation redundant This is not done however and the encoding of numbers is optimal leaving no space for encoding factors which can be found by gaussian elimination or similar in a bitwise checking of the 2 factors of the product. Also in mult...

This Sci-Fi Movie Predicted AI's Original Sin… That No One Can Fix

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Satanic High Priest Comes Face to Face with Jesus

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Thoughts on Christianity

 Saint martin de porres knew animals attracted attention and as jesus had a salmon for a wallet im sure he had a pet dog too. There's a lot between the lines uninterpreted in the bible make out judas was jealous of mary magdelene attention and the oil and hair washing jesus feet gentlemen never tell. Jesus had a prostitute rahab in his bloodlineA nice one.  I also heard a rumour that Mary's mother had a virgin birth,Fact they had a miracle birth with mary they were barren. King david put a man to death at the head of an army so he could take his beautiful wife someone had to be there. Soddom and gomorrah has an interesting idea of non perverts if you read it closer. Your not allowed go in the temple if youve a bastard in your family going back 10 generations deuteronomy.That could close all churchesThe question is did God or the Jews come up with that slippery banana,Even padre pio would fail that that's 1024 ancestors no bastard i   Another issue i have is God askin...

Advice for homeless

 My buddy John Masterson possibly died in prison made houses in the wood with a swiss army knife and light sticks He had a diesel generator an x box and lined the house with sheets and quilts from the local recycling centre and gaffer tape. He collected rainwater with silage wrap between trees and down into 5 gallon drums with a funnel. A 12 volt battery and an inverter from amazon to get upto 220v is useful. A portable toilet use your poop to garden. 500 years ago people buried their poop with a shovel who needs a toilet and septic tank. Furs bushes can be used as a clothes line. School teaches you accounting rather than diy to sabotage you into a mortgage. Google online maps showing government owned property. Take up walking and orienteering. If the vibe meeting people is bad don't argue for property. City house prices are high because of traffic lights and hot bums within in a tight area. Portugal is cheap Two thirds of spain is mountainous and empty due to spanish armada and fa...

A good explanation of maxwells equations

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Grok created opengl mind map

 OpenGL Mind Map Central Node: OpenGL Description: A cross-platform API for rendering 2D and 3D computer graphics, used in games, simulations, and visualizations. Branch 1: Overview Purpose: Hardware-accelerated graphics rendering History: Developed by Silicon Graphics Inc. (SGI) in 1992 Evolved through versions (e.g., OpenGL 1.0 to 4.6) Modern OpenGL (3.0+) focuses on programmable pipeline Platforms: Windows, macOS, Linux, Android, iOS (via OpenGL ES) Related APIs: OpenGL ES (for mobile/embedded systems) WebGL (for web-based graphics) Vulkan (successor, more low-level) Branch 2: Core Components Context: Environment for OpenGL state and operations Created via windowing libraries (e.g., GLFW, SDL, GLUT) Objects: Vertex Buffer Objects (VBO): Store vertex data (positions, normals, etc.) Vertex Array Objects (VAO): Store vertex attribute configurations Texture Objects: Store image data for mapping onto surfaces Frame Buffer Objects (FBO): Off-screen rendering targets Shader Objects: Pr...

Transformer ai essentials

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Query key value   Follow on for other 3 blue one brown neural net and transformer videos This guy is excellent watch all his videos Code Emporium is excellent also

How god creates reality

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 This seems how god creates reality for us we are awareness seeing myths in a book and reacting. Life and dreams are video games. We don't even know if our memories are real, all we know is we have awareness, and, the other characters in the game of life appear to have feelings, wants, needs, emotions, and addictions, so it's best to get to know them and emphasize with them. In the beginning was the word, which created the myth on the simulator. The dark side is I've been addicted to this alternate reality since 1974 ,when I first witnessed the video game pong in cork airport. What most people don't seem to realize when lost in a video game, book fantasy novel or playing games with other people's lives is our actions have consequences on each other. There are two religions ,love and fear, fear involves stocks, tax loop holes, law abuse, war, nuclear weapons, addictive behaviour, hate not understanding another's point of view, calling another person mad,, because...

How the brain works

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 Memories according to a 2019 Nobel prize winner are believed to be stored in mRNA in cells google for more info. Conciousness is the ghost in the machine saying "somethings up", thanks John Masterson for the insight.

A very solid argument for Gods existence and a message to technology nerds, please leave comments

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You jump into a volcano to go to Heaven. Petrol isn't fat from Hell. 1 Corinthians 12:27, We are all part of the body of Christ ( the cosmic consciousness ) separated into spiritual beings having a human existence for evaluation in a challenging imperfect environment, so God can figure out the good and bad bits of himself, he is preening himself, it is obvious that parts of God sinning and acting against Gods best interest, have to be thrown away somehow, in the Souls life review afterwards as nearly all full "Near Death Experiences" (NDE's ) Talk about, keeping as much as he can of the good in Heaven. You already know who the worst part of God is. Consciousness by definition cannot exist in an atheist materialist worldview, it requires some level of spirituality, your internal observer I believe is a node in the cosmic consciousness which I call God the universe is designed, otherwise, life starting is analogous to a wind flying through a junkyard, and, assembling a ...

Personal Account: My journey with Jesus, a Testimonial

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The previous era of my life upto 2006 at 38 years old is in the following book. The Nerds Survival Guide  the book was self published, fairly honest, as far as my limited perspective of life was concerned, as. I didn't watch the Jordan Peterson giving fatherly advice on YouTube yet, or Alexander Grace advising on women. The self absorbed book made me alienate friends owing to me expressing uncomplimentary opinions about them behind their back..., without asking them. It's a story of a prodigal son with addictions to women who thought diamonds were a girls best friend was true because of Hollywood consumerism misrepresented by Fred Astaire and Ginger Rodgers who educated me these untruths which I loved as they were charmingly presented on film, rather than the Beatles truth money can't buy me love which left an average looking Nerd like me in the lurch as I wanted pretty women and after dutch courage in pubs not attracting women as I hadn't my act together I ended up a o...

A serious ecological problem caused by cheap electronics people are too lazy to repair

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 Chinese are working hard producing electronics, way too hard, every chip they make currently pollutes 10 gallons of water they could be drinking. Nobody in the west works hard anymore, we just consume what our slaves in the developing world produce. My house is paid for I've no serious bills, I am rich on disability benefit owing to minor mental health problems, I can work harder, I don't have to. 4 billion pounds worth of returned clothing per annum go to landfill.  I suspect this is mostly amazon and alibaba.com where you buy clothes without trying it on first. Amazon & Alibaba returns should be given to charities in Syria, Yemen, Africa, Afgahanistan and Iraq at least should be sent the most appropriate returns to their needs, the rest sold in charity/discount shops. I do farm work for my brother and cousin about 1 hour a day to clear my conscience producing food for china. A PC Keyboard is worth 1 gallon of milk in the local shop. To get this all we have to do is keep...

Bring back hydrogen lifting gas

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How Christianity Changed Gods Church

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