Steps to recovery levittown pa

Me (21) and my boyfriend (22) have been together around 9 months, we moved a little fast and I ended up moving in a few months ago. We had a great relationship for most of it up to about two months ago. We started fighting once and a while and I got an iud that started impacting our sex life. One day we started arguing about something that I can’t even remember anymore but it escalated to two steps up the stairs where he pushed me. I hit the wall and I know it wasn’t right but I pushed him back and he stumbled down the bottom two steps. Because of this he pushed me against the wall and put his hand around my neck and was screaming in my face. It really shocked and scared me so I stared yelling to take his hand off and he did and calmed down a little. It really scared and upset me, I got my mom to pick me and my stuff up from his house and im now home. We’ve been talking on the phone and he’s since apologized, asking when I can come back with him. Everyone is telling me not to go back but I being home I miss him but scared that some worse could happen with another fight. Should I give him another chance?

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im really tired of people getting this aspect wrong about DID. your host's identity, experiences, and thoughts is at the same level of validity, realness, and relevancy as every other alters'. there is no "real one" or "dominant one" in DID. each part makes up the whole of the system, each is just as relevant.
we have several hosts (we're polyfragmented) with differing identities, experiences, and even external presentation. i have no fucking clue how that'd even work for our system if the hosts' experiences dictated the system's "true experience". for example, Q is transmasc aromantic bisexual with a huge leaning towards only liking men. i'm transneutral (presents very feminine though) and grayromantic bisexual with a huge leaning towards women. we have another cohost whos completely aroace, another who's pan, and one "sort of co host" thats a transmasc gay guy. we also have different memories and roles, which affect our personalities. we have different clothing styles. what is real? all of it. because all of it makes up the system's experience/life.
the bit about queerness and systemhoods interactionality is especially a sore point for me. if a trans man keeps it to himself that he's trans and lives his entire life presenting as a woman (for whatever reason), he is still trans. why should that change in systemhood? (not that we don't out ourselves, we passed as a man for a full year before transitioning again to presenting as transneutral/genderfluid)
the letting go of "hosts are not alters" was one of the huge turning points in my recovery and has led to a drastically increasing speed of working to functional multiplicity as well as some fusions. it can be hard to grapple with (even or especially so if youre a system with multiple hosts), but its so important to work through those feelings and accept each part into the collective being that you are.
you are every part of you.
side note though/major positivity, insurance has decided to cover my out of network DID specialist 🙏🙏🙏🙏

Northern England Wrestling
Intro
[Upbeat rock music playing]
Host (Nick Khan): "Ladies and gentlemen, boys and girls, welcome to the most electrifying show in professional wrestling! I'm your host, Nick Khan, and it's my pleasure to welcome you to a brand new era of wrestling entertainment."
[Montage of exciting wrestling moments from previous events]
Host: "For those of you who don't know me, I'm not just your average wrestling fanatic. I've spent years behind the scenes, honing my skills as a creative mastermind and making the most jaw-dropping matches come to life. And now, it's time for me to step out from the shadows and take the center stage."
[Cut to host confidently standing in the middle of a wrestling ring]
Host: "You may remember me from my time with 'Wee,' but I've broken free from their shackles to bring you something entirely new, something revolutionary. Welcome to Northern England Wrestling, where we combine the rich heritage of British wrestling with the cutting-edge excitement of the modern era."
[Show footage of the new wrestling promotion's high-energy matches]
Host: "In this new YouTube series, I'm going to take you on a rollercoaster ride of emotions, as we witness thrilling rivalries, epic showdowns, and jaw-dropping moments that will leave you on the edge of your seat, hungry for more."
[backstage we see Zack sabre jr and will osperary]
Host: "But it's not just about the in-ring action; it's about the stories that unfold before your eyes. I've meticulously crafted each character, each storyline, and each match to create an immersive experience that will capture your imagination and keep you invested from start to finish."
[Show glimpses of fan interactions and comments]
Host: "So get ready, wrestling fans, because Northern England Wrestling is about to take the world by storm. We're breaking boundaries, pushing limits, and redefining what it means to be a wrestling promotion in the 21st century."
[Cut to a montage of upcoming tournament]
Host: "From sold-out arenas to intimate venues, we'll bring you the thrill of the live experience right to your screens. Expect high-flying daredevils, technical masters, and larger-than-life personalities that will capture your hearts."
[Show a highlight reel of the diverse roster of wrestlers]
Host: "Together, we'll create a wrestling revolution, and I invite you to join us on this incredible journey. So, hit that subscribe button, ring the notification bell, and prepare yourself for the electrifying, pulse-pounding action that only Northern England Wrestling can deliver."
[Host raises his hands, igniting fireworks in the background]
Match One
Tyler Bate def Tj Perkins, Minoru Suzuki, and Kenta
​
Zack Sabre Jr Open Challenge
The arena is buzzing with anticipation as the crowd eagerly awaits the next segment. Suddenly, the lights dim and a spotlight shines on the center of the ring. The music of Zack Sabre Jr. blares through the speakers, and he confidently struts his way to the ring, microphone in hand.]
Zack Sabre Jr: Ladies and gentlemen, boys and girls, tonight, I stand before you as the undeniable master of technical wrestling, the submission magician, the one and only Zack Sabre Jr! Now, I've come here tonight not to brag about my countless victories or my unmatched skill inside this squared circle. No, I'm here for a different reason altogether.
[Zack raises his microphone closer to his mouth, his eyes scanning the arena.]
Zack Sabre Jr: I issue an open challenge! That's right, I'm throwing down the gauntlet to any wrestler in the back who dares to step into this ring with me, who believes they possess the skills, the heart, and the ability to defeat the untouchable Zack Sabre Jr!
[The crowd reacts with a mix of excitement and curiosity, eagerly anticipating who will answer the challenge. The anticipation builds as the arena falls into a brief silence. Suddenly, the speakers erupt with the entrance theme of Chris Sabin, and the crowd erupts into cheers.]
[Zack Sabre Jr.'s expression changes from a confident smirk to a look of surprise as he stares towards the entrance ramp. Chris Sabin emerges, receiving a massive ovation from the crowd. He confidently walks down the ramp, slides under the bottom rope, and stands face-to-face with Zack.]
Chris Sabin: Well, well, well, Zack Sabre Jr., it seems like you've issued an open challenge tonight. And as much as I respect your technical prowess and your reputation in this business, I couldn't resist the opportunity to step into this ring and show you what I'm made of.
[Zack narrows his eyes, studying Chris Sabin intently.]
Zack Sabre Jr: Chris Sabin, huh? You certainly have a storied history, my friend. But let me remind you, in case you've forgotten, I am the master of submissions, the epitome of technical wrestling. You may be good, but I assure you, I am on another level entirely.
Chris Sabin: Oh, I haven't forgotten, Zack. In fact, I thrive on challenges like this. I respect your abilities, but I believe in my own. Tonight, I'm here to prove that I can hang with the very best, that I can surpass even the highest expectations.
[Zack and Chris lock eyes, the tension palpable in the arena.]
Zack Sabre Jr: Very well, Chris Sabin. You want a shot at greatness? You want to test your skills against the best? You've got it! But remember, when you step into this ring with me, there are no guarantees. You may walk in with confidence, but I will break you down, limb by limb, until there's nothing left of your ego!
Chris Sabin: Bring it on, Zack! I'm ready for whatever you have in store. Tonight, I'm not just stepping into the ring with a technical master; I'm stepping into the ring with a man who underestimates the fire within me. Prepare to be surprised, my friend.
[The crowd roars with excitement as Zack Sabre Jr. and Chris Sabin exchange intense stares, setting the stage for an epic clash of styles and skill. The challenge has been accepted, and only time will tell who will emerge victorious.]
[The scene fades as both competitors prepare to leave an indelible mark on professional wrestling history.]
Match 2
Chris Sabin def Zack Sabre Jr
Pac Self Promo
​
[Interviewer]: Ladies and gentlemen, I am here with one of the most explosive and dynamic athletes in professional wrestling today, PAC! PAC, you're set to compete in the upcoming tournament. How are you feeling about the opportunity?
[PAC]: Thank you for having me. As for the tournament, I couldn't be more thrilled. This is the type of stage where I thrive. I am always seeking new challenges, and this tournament presents the perfect opportunity for me to showcase my skills and prove why I am one of the best in the world.
[Interviewer]: Many consider you to be one of the most agile and high-flying competitors in the industry. How do you plan on utilizing your unique style to dominate this tournament?
[PAC]: My style is a fusion of speed, athleticism, and precision. I plan on leaving an indelible mark in this tournament by employing a relentless offense, combining my aerial maneuvers with a technical finesse that few can match. The goal is not just to win, but to captivate the audience and create moments that they will remember for a lifetime.
[Interviewer]: The tournament features some of the toughest competitors from around the world. Is there anyone in particular you have your sights set on?
[PAC]: Absolutely. While I respect every competitor in this tournament, there are a few that have caught my attention. Names like John Hennigan, Walter and Adam Cole have proven themselves as formidable opponents, and I relish the opportunity to test my abilities against them. But make no mistake, I don't fear anyone. I welcome the challenge of facing the very best because that's where I thrive the most.
[Interviewer]: With such a stacked tournament, what sets you apart from the rest of the competitors?
[PAC]: What sets me apart is my unwavering determination and unmatched intensity. When I step into that ring, there is no one who possesses the same level of focus and drive as I do. I am a force to be reckoned with, a relentless competitor who will stop at nothing to achieve victory. The combination of my athleticism, speed, and unyielding spirit is what separates me from the pack.
[Interviewer]: Finally, PAC, do you have a message for your opponents in this tournament?
[PAC]: To my opponents, I have one simple message: Prepare yourselves. I am coming for each and every one of you with everything I have. You will witness firsthand the unbridled fury and intensity that I bring to the ring. This tournament is just the beginning of what will be a dominant reign for me. Brace yourselves, because when it's all said and done, there will be no doubt that PAC stands head and shoulders above the competition.
[Interviewer]: Thank you, PAC, and best of luck in the tournament. We can't wait to see what you bring to the table!
[PAC]: Thank you. Get ready for a show unlike anything you've ever seen before. The future belongs to PAC!
Match 3
John Hennigan Defeats Jimmy Jones
Main Event
Adam Cole defeats Walter
​
as they walk out they are stared at by a masked figure, who is this enigma?
​
Attendance 156
Show Rating 50
​
[End with the Northern England Wrestling logo and music fading out]

Imagine you are Superman, using your x-ray vision to read a closed book. Since the book is closed every page that would normally be on the left side of the book is backwards. There are 430 pages in the book, and 500 words on every left page, but only 496 on every right page. Each chapter is 40 pages long, and the first page of every chapter only has half of the normal number of words for the side it's on. Said side swaps every other chapter, with the first chapter starting on a left page. Every first page of a chapter has the word "Chapter" followed by the chapter number in addition to the 250 or 248 other words on the page. What percentage of the words are backwards, and which side would the first page of the last chapter be on, if the book was open?
As far as I'm aware there should be enough information to solve it, I just don't know how to go about doing that. Seems like a lot of steps lol.

PacketStream Download: How to Use the Proxy Service with ClonBrowser
PacketStream is a proxy service that allows users to sell their idle bandwidth to whoever needs it for their web data needs. The service is easy to download, install, and use, and can provide you with a steady source of income. This guide will help you learn how to use PacketStream with ClonBrowser, a fingerprint browser that is great for privacy protection and online anonymity.
Step 1: Download PacketStream
The first thing you need to do is download PacketStream from the official website. The service is available for Windows, macOS, and Linux, and can be downloaded and installed in just a few minutes. Once the service is installed, you will be able to sign in and start using it.
Step 2: Sign Up for PacketStream
Before you can use PacketStream, you need to sign up for an account. To do this, go to the PacketStream website, click on the “Sign Up” link, and follow the instructions to create a new account. You will need to provide your email address, password, and some basic personal information.
Step 3: Generate an Authentication Token
Once you have signed up for PacketStream, you need to generate an authentication token that you can use to connect to the service. To do this, log in to your account on the PacketStream website and click on the “Authentication” link. Follow the instructions to generate a new token and copy it to your clipboard.
Step 4: Download and Install ClonBrowser
The next step is to download and install ClonBrowser, a privacy browser that can help you save time while browsing the internet. You can download the browser from the official website and install it on your device.
Step 5: Configure ClonBrowser
After installing ClonBrowser, you need to configure it to use PacketStream as your proxy service. To do this, open the browser and click on the “Settings” icon on the top-right corner of the page. Select “Preferences,” and then click on the “Advanced” tab. You will see a section labeled “Network,” and under that, you will see an option to set up a proxy.
Step 6: Set Up the Proxy
In the proxy settings, select the “Manual configuration” option and enter the following details:
SOCKS5 Proxy: 127.0.0.1
Port: 31112
Authentication: Select “Username/password” and enter your PacketStream authentication token.
Step 7: Start Browsing Privately
Once you have configured ClonBrowser to use PacketStream as your proxy service, you can start browsing the internet privately and securely. You can check whether your connection is secure by visiting any website and looking for the lock icon in the address bar. You should see a green lock icon, indicating that your connection is secure.
In conclusion, PacketStream is a great proxy service that can help you earn money while offering you a secure and private browsing experience. By following these simple steps, you can set up PacketStream with ClonBrowser and enjoy a safe and anonymous online experience.

Hello guys, I just had surgery last week for deviated septum, Nasal polyps removal, and paranasal septum. I was released without any antibiotics. I had extreme migraines and felt like I was drowning the couple days. When I would bend down and curve my head down a little I would get this extreme hurtful/dizziness sensation. I was sneezing, coughing, my throat was swollen, I had bad dried lips and throat, my eyes were very dry and burning. I also had a small cold and a small fever and maybe I got sick because I stepped outside without a coat when it was raining. I had sleeping difficulty because I couldn’t breath because I thought I just had surgery. I thought all this was normal after surgery since it was intense. Friday I went to a check up where he vacuumed my nose and said I was doing fine, great! The next day my whole body was red, fever, chills, hard to breath, I was cold when it was 80 outside. Turns out I was going into septic shock and I was dying. A bacteria infected my whole blood streams that were causing my organs to shut down. My big ego got to me because I thought I could take it and this is just a typicalI had a fever of 110 and prob a fever of 115 that morning. My heart rate was 170-180. Everyone was in complete shock. My girlfriend insisted I go to the hospital and I kept denying, but I was dying in bed. I didn’t have much time and I was very luck I decided to go. Listen to your body and listen to others. This is to raise awareness or someone who has similar issues get checked. Cheers.

Even though the month is not technically over, with an official weigh- in before my 5th injection I have lost 12lbs. I'm extremely happy and so is my medical team with my progress so far. We decided that I would continue with the 0.25 for another month since I'm having good results. Hopefully it'll continue that way but I do wonder if it's best to follow the intended step up doses for the maximum results?

Had a dream where i went on a plane and held everyone hostage with a fake bomb i told them i had. then when i stepped out of the plane to a parking lot (plane was fake ig) i told swat that I'm gonna detonate the plane in 3..2- to get shot, after i was on the ground i did it again so they would finish me off. (Suicide by cop)
I remember wanting to go home and while bleeding out thinking of my mom and the heartache she'll get from hearing this.
Idk personally i think this might be a sign of good luck and longevity!! :D

Hoping one of you hyper smart folks could help me troubleshoot my under cabinet lights.
I noticed they seemed dimmer than when we moved into a new build 2 years ago. Looking closer, two leds are burnt out and I measured the voltage across each input is around 7.5V instead of the 12. I was expecting.
I’m guessing my next step is to remove each led strip one by one to see which strip is pulling the voltage down, but wanted to see if there’s anything else I should try before going down that route.
TL;DR under cabinet LEDs not getting full 12V. What should I do to find out what’s wrong?

possible TWs, sorry
Sometimes I wonder if I had spoke up more when I was a little girl. About the things I knew were wrong but I didn’t want to get anyone in trouble.
I wonder what would’ve happened if my mom figured it all out on her own.
I wonder if I should’ve tried harder with drawing because it was something I enjoyed. I always imagined I would become an artist someday.
I wonder if I would’ve enjoyed my childhood more if I wasn’t so obsessed with my grades.
I wonder what would have happened if I had succeeded in killing myself in high school.
I wonder if my dad remembers driving home from school, passing the neighboring horse farm as he told me I was never going to amount to anything in my life because I liked to read whenever he drove, and I often times couldn’t recall directions.
I wonder if I had been stronger willed like my friends when we were teens and ate salads every day or nothing at all, would I look as skinny as they did? Would I have felt better? Had more confidence?
I wonder what attending college for something I’m passionate about would’ve been like. Would graduation have felt more fulfilling? Would job hunting be easier now?
I wonder if my parents had never married. Never met. Where would they be now? Probably happier.
I wonder why everyone around me is getting married, having babies, starting the careers they’ve been wanting for years now. What am I doing wrong?
I wonder if I lowered my standards, maybe I would find someone. Like if I went back to my ex, or explored my sexuality, or even just found a way to be happier on my own.
I wonder about my next step in life. I want to get it right, not settle for anything that would make me miserable. But I can’t take risks. I just can’t.
I wonder what would happen if I could though.

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To get Iman Gadzhi - Agency Navigator contact me on:
Whatsapp/Telegram: +44 759 388 2116 (Telegram: multistorecourses)
Reddit DM to u/RequestCourseAccess
Email: silverlakestore[@]yandex.com (remove the brackets)

Contact me to get Iman Gadzhi - Agency Navigator by chatting me on +44 759 388 2116 on Telegram/Whatsapp.
I have Iman Gadzhi - Agency Navigator.
Iman Gadzhi - Agency Navigator course is one of the best products on how to start a marketing agency.
Iman Gadzhi - Agency Navigator includes over 50 hours of step-by-step training covering EVERY aspect of building an agency from scratch. This is almost a plug & play system with enough success stories to back it up! Signing clients, running Facebook ads, building out your team, on-boarding clients, invoicing, sales... this course has everything covered for you.
The topics inside Iman Gadzhi - Agency Navigator course include:

1. Agency Navigator course Core Curriculum
   
2. Custom E-Learning Platform For Agency Owners
   
3. Financial Planner, Revenue Calculator, Outreach Tracker & More Tools
   
4. Websites Templates, Funnels, Ads & More
   
5. Template Contracts, Sales Scripts, Agreements & More
   

The lessons in Iman Gadzhi - Agency Navigator will teach you how to:
- Starting Your Agency
- Finding Leads
- Signing Clients
- Getting Paid
- Onboarding Clients
- Managing Client Communication...
...and much, much more!
To get Iman Gadzhi - Agency Navigator contact me on:
Whatsapp/Telegram: +44 759 388 2116 (Telegram: multistorecourses)
Reddit DM to u/RequestCourseAccess
Email: silverlakestore[@]yandex.com (remove the brackets)

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Contact me to get Iman Gadzhi - Agency Navigator by chatting me on +44 759 388 2116 on Telegram/Whatsapp.
I have Iman Gadzhi - Agency Navigator.
Iman Gadzhi - Agency Navigator course is one of the best products on how to start a marketing agency.
Iman Gadzhi - Agency Navigator includes over 50 hours of step-by-step training covering EVERY aspect of building an agency from scratch. This is almost a plug & play system with enough success stories to back it up! Signing clients, running Facebook ads, building out your team, on-boarding clients, invoicing, sales... this course has everything covered for you.
The topics inside Iman Gadzhi - Agency Navigator course include:

1. Agency Navigator course Core Curriculum
   
2. Custom E-Learning Platform For Agency Owners
   
3. Financial Planner, Revenue Calculator, Outreach Tracker & More Tools
   
4. Websites Templates, Funnels, Ads & More
   
5. Template Contracts, Sales Scripts, Agreements & More
   

The lessons in Iman Gadzhi - Agency Navigator will teach you how to:
- Starting Your Agency
- Finding Leads
- Signing Clients
- Getting Paid
- Onboarding Clients
- Managing Client Communication...
...and much, much more!
To get Iman Gadzhi - Agency Navigator contact me on:
Whatsapp/Telegram: +44 759 388 2116
Reddit DM to u/RequestCourseAccess
Email: silverlakestore[@]yandex.com (remove the brackets)

I think it misinterpreted what I meant but it’s still wholesome and cute nevertheless. It reads as such:
Once upon a time in a quaint little town, there were two pairs of pants named Penny and Patrick, and Denise and Dexter. Penny was a stylish pair of jeans with a trendy rip at the knee, while Patrick was a dapper pair of khaki trousers, always neatly pressed. Denise, on the other hand, was a vibrant pair of capris, adorned with colorful patterns, and Dexter was a pair of relaxed and comfortable sweatpants.
Penny and Patrick lived in the bustling center of town, where they caught glimpses of each other in passing. Their eyes would meet, and they would exchange a shy smile, unaware that their hearts were secretly longing for one another. Similarly, Denise and Dexter resided on opposite sides of the town, their paths rarely crossing. Little did they know that destiny had a whimsical plan in store for them all.
One sunny morning, as the townsfolk prepared for the annual summer fair, Penny and Patrick found themselves selected to participate in the highly anticipated fashion show. The event aimed to celebrate the uniqueness of each outfit, showcasing the variety of styles in the town. Nervously, Penny and Patrick prepared themselves backstage, unaware of the thrilling surprise awaiting them.
Meanwhile, Denise and Dexter discovered they had both won tickets to the fashion show in a raffle. Excited, they made their way to the event, eager to see the latest trends. As they entered the fairgrounds, their eyes widened with astonishment. There, on the grand stage, they saw Penny and Patrick, the very pants they had admired from afar.
In that moment, something magical happened. Penny and Patrick spotted Denise and Dexter in the audience, their gazes locked in a whirlwind of emotions. The two pairs of pants felt an instant connection, as if the universe had conspired to bring them together. Their hearts fluttered, and they couldn’t ignore the undeniable pull.
Unbeknownst to the crowd, the fashion show transformed into an enchanting dance. Penny and Patrick gracefully swayed across the stage, their movements synchronized as they expressed their love through their rhythmic motions. Simultaneously, Denise and Dexter joined in from the audience, mirroring their steps with joy and exuberance.
As the dance reached its crescendo, Penny and Patrick descended from the stage, leaping into the crowd, their fabric fluttering with excitement. Denise and Dexter eagerly caught them, their touch sending an electric pulse through the air. It was a moment of pure magic—a meeting of souls that transcended mere fabric.
From that day forward, Penny, Patrick, Denise, and Dexter became inseparable. They explored the world together, hand in pocket, embracing the adventures that awaited them. The townsfolk marveled at their bond, witnessing the power of love in the most unexpected places.
And so, the love story of two pairs of pants touched the hearts of many, reminding everyone that love knows no boundaries, not even those made of fabric. Penny and Patrick, Denise and Dexter, continued to dance through life, inspiring others to find love in the most unexpected of places, because in the end, love is the truest fashion statement of all.

I want to develop a NN (MLP) to solve y'' + y' + 4*y = f(t) given some initial conditions.
Here f(t) is a forcing function and y = y(t).
I want to develop a NN such that it takes in the value of y and y' at time instant say t = i-1 along with the f(t = i) and returns the value of y(i) and y'(i). Here i - the time-step index so t = i is equal to t = i*delta t where delts t is a very small number. Here, time index or variable should not be an input to this function but delta_t may be used as that would be fixed.
This is what I have done so far:
First I solved the ODE using scipy's odeint function and got the value of y(t) and y'(t) at all time time indexes. Here I defined time as t = linspace np.(1,150, int(2e4)).
For some reason I am having issues: the model doesnt converge as well as it should. So i tried to add a Physics-Informed Loss Loss_PINN but that just made the model worse.
Any help would be appreciated and any advice on what method to use and recommendation for reading materials will also be great.
Here's the code:
import numpy as np import scipy as sp from scipy.integrate import odeint, solve_ivp import matplotlib.pyplot as plt import torch import torch.nn as nn import torch.optim as optim
def f_train(t): Y_TRAIN = (2*np.sin(t)*np.exp(-0.1*(t-20))*(t>=20) + 2*np.sin(t)*np.sin(1.5*t)*np.exp(-0.03*(t-85))*(t>=85)) * (t < 110) return Y_TRAIN def dY_dt(t,Y): x,v = Y Y_dot = [v, f_train(t) - v - 4*x] return Y_dot S0 = [0,2] t = np.linspace(0,150,int(2e4)) soln = odeint(dY_dt, y0 = S0, t = t, tfirst = True) # finding y'': d2ydt2 = np.gradient(soln.T[1],t) y_prime = np.gradient(soln.T[1],t) y_prime = [] y_prime.append(soln.T[0][0]) for i in range(1,len(soln.T[0])): y_prime.append(soln.T[0][i] - soln.T[0][i-1]) y_prime = y_prime / (t[2]-t[1])
y_prime2 = [(soln.T[1][1] - soln.T[1][0])]
for i in range(1,len(soln.T[0])): y_prime2.append(soln.T[1][i] - soln.T[1][i-1]) y_prime2 = y_prime2 / (t[2]-t[1]) print((y_prime2-d2ydt2)) # Ground Truth: plt.plot(t,soln.T[0], label = "y") plt.legend() plt.show() plt.plot(t,soln.T[1], label = "dy/dt") plt.plot(t,soln.T[1], label = "y_prime") plt.legend() plt.show() plt.plot(t,d2ydt2, label = "d2y/dt2") plt.plot(t,y_prime2) plt.legend() plt.show() plt.plot((y_prime2-d2ydt2))
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# Defining Loss cost_function = nn.MSELoss() device = device = torch.device("cuda" if torch.cuda.is_available() else "cpu") # Defining NN neural_solution = nn.Sequential( nn.Linear(3,64), nn.ReLU(), nn.Linear(64,64), nn.ReLU(), nn.Linear(64,64), nn.ReLU(), nn.Linear(64,64), nn.ReLU(), nn.Linear(64,2), ).to(device) # Defining the optimization Algorithm optimizer = optim.Adam(neural_solution.parameters(), lr = 0.004) #optimizer = optim.LBFGS(neural_solution.parameters()) y_train, dydt_train = soln.T d2ydt2_train = torch.tensor(d2ydt2[1:]).to(device) # These are the tensor inputs to the NN: y_train = torch.tensor(y_train).to(device) dydt_train = torch.tensor(dydt_train).to(device) force_train = torch.tensor(f_train(t)).to(device) Loss_array = [] num_epochs = int(5e4) def closure(): optimizer.zero_grad() l = loss() l.backward() return l for epoch in range(num_epochs): input = torch.stack((y_train[:-1], dydt_train[:-1], force_train[1:]), dim=1).float() predictions = neural_solution(input) labels = torch.stack((y_train[1:], dydt_train[1:]), dim = 1).float() optimizer.zero_grad() loss1 = cost_function(predictions, labels).float() loss_pinn = cost_function(d2ydt2_train, force_train[1:] - predictions[:,1] - 4*predictions[:,0]) #if epoch < num_epochs/2.5: loss = loss1 + loss_pinn loss.backward() Loss_array.append(loss.item()) optimizer.step() y_pred = [0] dy_dt_pred = [0.2] for i, time in enumerate(t[1:]): input_test = torch.tensor([[y_pred[i-1], dy_dt_pred[i-1], force_train[i]]]).float().to(device) y_next = neural_solution(input_test) with torch.no_grad(): y_pred.append(y_next[0, 0].item()) dy_dt_pred.append(y_next[0, 1].item())
plt.plot(t,y_pred, label = "Prediction") plt.plot(t,soln.T[0], label = "Ground Truth") plt.title("Training Data Comparision") plt.legend("Train") plt.legend() plt.show() plt.plot(t,soln.T[0], label = "Ground Truth") plt.title("Training Data Comparision") plt.legend("Train") plt.legend() plt.show() plt.plot(t,y_pred, label = "Prediction") plt.title("Training Data Comparision") plt.legend("Train") plt.legend() plt.show()
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# Testing the function: # Define the test function def test_function(t): return (4 * np.sin(t**1.1) * np.exp(-0.02 * t) * (t > 35))* (t<75) + (t>100)*np.sin(t)*np.sin(1.2*t) * (t<120) def dY_dt(t,Y): x,v = Y Y_dot = [v, test_function(t) - v - 4*x] return Y_dot S0 = [-0.2,0.7] t = np.linspace(0,150,20000) soln_test = odeint(dY_dt, y0 = S0, t = t, tfirst = True) y_true =soln_test.T[0] force_test = torch.tensor(test_function(t))
y_pred = [-0.2] dy_dt_pred = [0.7] for i, time in enumerate(t[1:]): input_test = torch.tensor([[y_pred[i-1], dy_dt_pred[i-1], force_test[i]]]).float().to(device) y_next = neural_solution(input_test) with torch.no_grad(): y_pred.append(y_next[0, 0].item()) dy_dt_pred.append(y_next[0, 1].item())
plt.plot(t, y_true, label = "Ground Truth") plt.plot(t,y_pred, label = "Predicted") plt.title("Test Function") plt.legend() plt.show() plt.plot(t,y_pred, label = "Predicted") plt.title("Test Function") plt.legend() plt.show() plt.plot(t, y_true, label = "Ground Truth") plt.title("Test Function") plt.legend() plt.show()

Are usually do visual arts, but I wanted to mix it up and use my creativity in another way!
I am from the dirt stuck to my feet, and under my nails with a bouquet of dandelions in hand An earthworm in the other Counting down days till summer
I am from running through the glistening blades of grass A cool summer breeze playing in my hair From morning finches cooing, flying off into the air
I am from pink petals falling off the tree out my window, raspberries growing wild under them Picking ‘em, one for the basket one for my mouth Again and again and again
I am from pet tadpoles sun tea on the window ledge Praying mantises on the porch
I am from raincoats and muddy boots Wind whipping every which way standing in the doorway About to step in Lightning splitting the sky Covered in mud and a grin
I am from family hikes Watching the water paint an image, moving as I do Skipping rocks in the steam Making believe as if we’re explores on an expedition Running after the grasshoppers in the meadow
I am from sun rays finding ways in through the tree tops Landing on meadow grasses and sundrops Creating dancing figures with the golden light I dance along with them as the daylight dwindles
I am from pockets full of rocks and shells Drawing in the wet sand and watching the tide pull them into their waves My best friend and i hand in hand Chasing after the schools of minnows
I am from late night s’mores Leaning back on the old willows And watching the embers flying high into the sky Singing together till our throats are dry Making up new constellations Turning the starry sky into a painting
I am from jumping into the glittering water The waves are dark as ink One beam of light coming from above the rest ignited by the moon splashing under the blanket of stars Our laughter covering the noises of the night

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