陶哲轩点破「天机」：不懂数学别想靠ChatGPT飞升！
新智元
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2024-07-08 13:03
新智元报道
新智元报道
【新智元导读】冲锋在AI辅助数学研究第一线的陶哲轩，近日又有「神总结」：ChatGPT提升的，是我们在编码、图表等次要任务上的能力；而真要搞好数学研究，基础不扎实的话，AI也是没用的。
数学不好的人，其实AI的帮助可能也没那么大
pip install matplotlib
import numpy as npimport matplotlib.pyplot as pltimport matplotlib.animation as animation# Define the range for xx = np.linspace(0, 1, 400)# Define the functionsfunctions = [lambda x: x, lambda x: x**2, lambda x: x**3, lambda x: x**4]# Create a figure and axisfig, ax = plt.subplots()line, = ax.plot(x, functions[0](x))# Set axis labels and titleax.set_xlabel('x')ax.set_ylabel('f(x)')ax.set_title('Animated Functions')# Initialize the animation functiondef init():line.set_ydata([np.nan] * len(x))return line,# Update the animation functiondef update(frame):line.set_ydata(functions[frame](x))ax.set_title(f'Function: $x^{frame+1}$')return line,# Create the animationani = animation.FuncAnimation(fig, update, frames=len(functions), init_func=init, blit=True, repeat=True, interval=1000)# Save the animation as a gifani.save('animated_functions.gif', writer='imagemagick')plt.show()
pip install matplotlib
import numpy as npimport matplotlib.pyplot as pltimport matplotlib.animation as animation# Define the range for xx = np.linspace(0, 1, 400)# Define the functionsfunctions = [lambda x: x, lambda x: x**2, lambda x: x**3, lambda x: x**4]# Create a figure and axisfig, ax = plt.subplots()line1, = ax.plot(x, functions[0](x), label='$x$')line2, = ax.plot(x, functions[1](x), label='$x^2$')# Set axis labels and titleax.set_xlabel('x')ax.set_ylabel('f(x)')ax.legend()ax.set_title('Animated Functions')# Initialize the animation functiondef init():line1.set_ydata([np.nan] * len(x))line2.set_ydata([np.nan] * len(x))return line1, line2# Update the animation functiondef update(frame):line1.set_ydata(functions[frame](x))line2.set_ydata(functions[frame+1](x))ax.legend([f'$x^{frame+1}$', f'$x^{frame+2}$'])return line1, line2# Create the animationani = animation.FuncAnimation(fig, update, frames=len(functions)-1, init_func=init, blit=True, repeat=True, interval=1000)# Save the animation as a gifani.save('animated_double_functions.gif', writer='imagemagick')plt.show()
import numpy as npimport matplotlib.pyplot as pltimport matplotlib.animation as animation# Define the range for xx = np.linspace(0, 1, 400)# Define the functionsfunctions = [lambda x: x, lambda x: x**2, lambda x: x**3, lambda x: x**4]# Create a figure and axisfig, ax = plt.subplots()line1, = ax.plot(x, functions[0](x), label='$x$')line2, = ax.plot(x, functions[1](x), label='$x^2$')# Set axis labels and titleax.set_xlabel('x')ax.set_ylabel('f(x)')ax.set_title('Animated Functions')# Initialize the animation functiondef init():line1.set_ydata([np.nan] * len(x))line2.set_ydata([np.nan] * len(x))return line1, line2# Update the animation functiondef update(frame):line1.set_ydata(functions[frame](x))line2.set_ydata(functions[frame+1](x))ax.legend([f'$x^{frame+1}$', f'$x^{frame+2}$'])return line1, line2# Create the animationani = animation.FuncAnimation(fig, update, frames=len(functions)-1, init_func=init, blit=True, repeat=True, interval=1000)# Save the animation as a gifani.save('animated_double_functions.gif', writer='imagemagick')plt.show()
pip install matplotlib
import numpy as npimport matplotlib.pyplot as plt# Define the numerical values for the x and y positionsx_values = [1, 2, 3]y_values = [1, 4, 9]# Define the corresponding string labels for x and y axesx_labels = ["Today", "Next week", "Next year"]y_labels = ["Beginner", "Intermediate", "Expert"]# Define the function to be plotted (y = x^2)x = np.linspace(1, 3, 100)y = x**2# Create a figure and axisfig, ax = plt.subplots()# Plot the functionax.plot(x, y, label='$y=x^2$')# Set the x and y axis labelsax.set_xlabel('Time')ax.set_ylabel('Level')# Set the x and y axis tick positions and labelsax.set_xticks(x_values)ax.set_xticklabels(x_labels)ax.set_yticks(y_values)ax.set_yticklabels(y_labels)# Add a legendax.legend()# Set the titleax.set_title('Parabola $y=x^2$ with Custom Axis Labels')# Display the plotplt.show()
网友：图表存在「幻觉」
「资深用户」陶哲轩
OK，自然数游戏已经完成，现在我要去安装Lean并编写一个「hello world」程序了。
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