In the world of poker, players often find themselves navigating a fine line between strategic play based on mathematical models and decisions influenced by biological and emotional factors. While it is tempting to focus on interpersonal dynamics and risk-seeking behavior, research has shown that Game Theory Optimal (GTO) strategies are not dependent on opponent modeling. This essay explores the importance of maintaining a clear distinction between playing poker as a strategic game and engaging in a social learning process driven by biological and emotional factors.
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import numpy as np | |
import matplotlib.pyplot as plt | |
from matplotlib.animation import FuncAnimation | |
if __name__ == '__main__': | |
# Constants and parameters | |
hbar = 1.0 # Reduced Planck's constant | |
m = 1.0 # Particle mass | |
V0 = 1.0 # Barrier height |
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package main | |
import ( | |
"math" | |
"github.com/d0rc/mcts" | |
"time" | |
) | |
// Sequence and other types remain as provided | |
type Sequence struct { |
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func removeBordersWithTolerance(inputPath, outputPath string, tolerance, minBorderWidth int) error { | |
// Open the input file | |
file, err := os.Open(inputPath) | |
if err != nil { | |
return err | |
} | |
defer file.Close() | |
// Decode the image | |
img, format, err := image.Decode(file) |
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import torch | |
from transformers import AutoTokenizer, AutoModelForCausalLM | |
import numpy as np | |
from scipy.special import softmax | |
from scipy.stats import entropy | |
from collections import deque | |
import os | |
# ANSI color codes | |
BLUE = "\033[94m" |
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package main | |
import ( | |
"fmt" | |
"strconv" | |
) | |
// TokenType represents the type of a token | |
type TokenType int |
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from flask import Flask, request, send_file | |
import torch | |
from diffusers import FluxPipeline | |
from io import BytesIO | |
import ssl | |
import os | |
app = Flask(__name__) | |
# Initialize the pipeline |
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package main | |
import ( | |
"bytes" | |
"fmt" | |
"html/template" | |
"io/ioutil" | |
"log" | |
"os" | |
"path/filepath" |
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package main | |
import ( | |
"crypto/md5" | |
"encoding/hex" | |
"flag" | |
"fmt" | |
"io/ioutil" | |
"path/filepath" | |
"sort" |
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**Disclaimer**: This is an incredibly simplified description of the process; some statements may exaggerate or distort certain aspects for illustrative purposes. The mentioned mathematical guarantees might vary in strength, from absolute impossibility to computational complexity, but these simplifications aim to convey the core idea clearly. | |
Asymmetric Encryption: A clever cryptographic method where you have two keys with distinct roles - one locks (encrypts) data, and the other unlocks (decrypts) it. Think of these keys as numbers linked by special mathematical rules, generated together yet serving different purposes. One key, known as the private key, remains your closely guarded secret; it's used to decrypt your confidential data. On the other hand, the public key is like a lock that many people can use to insert messages but only unlocks with your private key. You safely share this public key far and wide because it doesn't reveal anything about your private key. Anyone wanting to send you a secure messa |
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