--- license: cc-by-nc-4.0 language: - en pipeline_tag: text-generation datasets: - Skylion007/openwebtext - Locutusque/TM-DATA inference: parameters: do_sample: True temperature: 0.7 top_p: 0.2 top_k: 14 max_new_tokens: 250 repetition_penalty: 1.16 widget: - text: >- TITLE: Dirichlet density QUESTION [5 upvotes]: How to solve the following exercise: Let $q$ be prime. Show that the set of primes p for which $p \equiv 1\pmod q$ and $$2^{(p-1)/q} \equiv 1 \pmod p$$ has Dirichlet density $\dfrac{1}{q(q-1)}$. I want to show that $X^q-2$ (mod $p$) has a solution and $q$ divides $p-1$ , these two conditions are simultaneonusly satisfied iff p splits completely in $\Bbb{Q}(\zeta_q,2^{\frac{1}{q}})$. $\zeta_q $ is primitive $q^{th}$ root of unity. If this is proved the I can conclude the result by Chebotarev density theorem. REPLY [2 votes]: - text: >- An emerging clinical approach to treat substance abuse disorders involves a form of cognitive-behavioral therapy whereby addicts learn to reduce their reactivity to drug-paired stimuli through cue-exposure or extinction training. It is, however, --- # Training This model was trained on two datasets, shown in this model page. - Skylion007/openwebtext: 1,000,000 examples at a batch size of 32-4096 (1 epoch) - Locutusque/TM-DATA: All examples at a batch size of 12288 (3 epochs) Training took approximately 500 GPU hours on a single Titan V. # Metrics You can look at the training metrics here: https://wandb.ai/locutusque/TinyMistral-V2/runs/g0rvw6wc # License This model is released under the cc-by-nc-4.0 license. This is because the data used to train this model is under this same license.