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import numpy as np
import math

# Function to generate polynomial features
def generate_polynomial_features(x, degree):
    features = np.zeros((len(x), degree))
    for i in range(degree):
        features[:, i] = np.power(x, i + 1)
    return features

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import dspy
from dspy.functional import TypedPredictor
import os
from dotenv import load_dotenv
from transitions import Machine

# Load the OpenAI API key from the .env file
load_dotenv()

# Create a language model using the OpenAI API

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import dspy
from dspy.functional import TypedPredictor
import os
from dotenv import load_dotenv
from transitions import Machine

load_dotenv()

llm = dspy.OpenAI(
    model='gpt-3.5-turbo',

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docs = WebBaseLoader(url).load()
text_splitter = RecursiveCharacterTextSplitter()
documents = text_splitter.split_documents(docs)

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url = "https://www.ibm.com/topics/artificial-intelligence"
model = ChatOpenAI(model="gpt-4", api_key=os.getenv("OPENAI_API_KEY"))

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from langchain_openai import ChatOpenAI
from dotenv import load_dotenv
import os
from langchain_community.document_loaders import WebBaseLoader
from langchain_openai import OpenAIEmbeddings
from langchain_community.vectorstores.faiss import FAISS
from langchain_text_splitters import RecursiveCharacterTextSplitter
from langchain.tools.retriever import create_retriever_tool
from langchain_community.tools.tavily_search import TavilySearchResults
from langchain import hub

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import dspy
import os
from dotenv import load_dotenv

load_dotenv()

llm = dspy.OpenAI(
    model='gpt-4',
    api_key=os.environ['OPENAI_API_KEY'],
    max_tokens=100

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class logical_reasoner(dspy.Module):
    def __init__(self):
        super().__init__()
        self.logical_reasoner = dspy.Predict("text -> premises, conclusions")
        self.checker = dspy.ChainOfThought(check_logic)

    def forward(self,text):
        prediction = self.logical_reasoner(text=text)
        result = self.checker(premises=prediction.premises, conclusions=prediction.conclusions)

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class check_logic(dspy.Signature):
    """Given the premises and the conclusions of an argument, check if the conclusions are logical."""
    premises = dspy.InputField(desc="Premises of the argument")
    conclusions = dspy.InputField(desc="Conclusion of the argument")
    logical = dspy.OutputField(desc="Given the premises, the conclusion is logical or not")

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import dspy
import os
from dotenv import load_dotenv

load_dotenv()

llm = dspy.OpenAI(
    model='gpt-4',
    api_key=os.environ['OPENAI_API_KEY'],
    max_tokens=100