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def heun(y, t, dt):
    d1 = dfun(y, t)
    d2 = dfun(y + dt*d1, t + dt)
    err = np.mean(np.abs((d1 - d2)))#/(1e-9+d2)))
    return y + dt/2*(d1 + d2), err

def solve_adapt1(y0, ts, tol):
    ys = [y0]
    max_dt = dt = ts[1] - ts[0]
    t0 = ts[0]

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import os
# use cpu for this
os.environ['CUDA_VISIBLE_DEVICES'] = ''


########################### numpy style
import numpy as np

n = 5
size = 4

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import numpy as np
import torch


class MyModule(torch.nn.Module):

    def add_param(self, key, shape):
        val = torch.randn(*shape)/np.prod(shape)
        setattr(self, key, torch.nn.Parameter(val))

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Here's a funny image

gpt-4 misses it:

The humor in the image of a cat with a sign saying "GPT" in French and a caption reading "I guess it only works in French" lies in the combination of a few elements:

    Language play: The acronym "GPT" stands for "Generative Pre-trained Transformer," which is an AI language model developed by OpenAI. The joke implies that there is a French version of GPT that only works in French, even though the acronym and the technology itself are not language-specific.