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--- |
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license: apache-2.0 |
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language: |
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- en |
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pipeline_tag: text-generation |
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datasets: |
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- Skylion007/openwebtext |
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- Locutusque/TM-DATA |
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inference: |
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parameters: |
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do_sample: true |
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temperature: 0.7 |
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top_p: 0.2 |
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top_k: 14 |
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max_new_tokens: 250 |
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repetition_penalty: 1.16 |
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widget: |
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- text: >- |
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TITLE: Dirichlet density QUESTION [5 upvotes]: How to solve the following |
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exercise: Let $q$ be prime. Show that the set of primes p for which $p |
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\equiv 1\pmod q$ and $2^{(p-1)/q} \equiv 1 \pmod p$ has Dirichlet density |
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$\dfrac{1}{q(q-1)}$. I want to show that $X^q-2$ (mod $p$) has a solution |
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and $q$ divides $p-1$ , these two conditions are simultaneonusly satisfied |
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iff p splits completely in $\Bbb{Q}(\zeta_q,2^{\frac{1}{q}})$. $\zeta_q $ is |
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primitive $q^{th}$ root of unity. If this is proved the I can conclude the |
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result by Chebotarev density theorem. REPLY [2 votes]: |
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- text: >- |
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An emerging clinical approach to treat substance abuse disorders involves a |
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form of cognitive-behavioral therapy whereby addicts learn to reduce their |
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reactivity to drug-paired stimuli through cue-exposure or extinction |
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training. It is, however, |
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- text: >- |
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\begin{document} \begin{frontmatter} \author{Mahouton Norbert Hounkonnou\corref{cor1}${}^1$} \cortext[cor1]{[email protected]} \author{Sama Arjika\corref{cor2}${}^1$} \cortext[cor2]{[email protected]} \author{ Won Sang Chung\corref{cor3}${}^2$ } \cortext[cor3]{[email protected]} \title{\bf New families of $q$ and $(q;p)-$Hermite polynomials } \address{${}^1$International Chair of Mathematical Physics and Applications \\ (ICMPA-UNESCO Chair), University of Abomey-Calavi,\\ 072 B. P.: 50 Cotonou, Republic of Benin,\\ ${}^2$Department of Physics and Research Institute of Natural Science, \\ College of Natural Science, \\ Gyeongsang National University, Jinju 660-701, Korea } \begin{abstract} In this paper, we construct a new family of $q-$Hermite polynomials denoted by $H_n(x,s|q).$ Main properties and relations are established and |
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--- |
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# Training |
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This model was trained on two datasets, shown in this model page. |
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- Skylion007/openwebtext: 1,000,000 examples at a batch size of 32-4096 (1 epoch) |
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- Locutusque/TM-DATA: All examples at a batch size of 12288 (3 epochs) |
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Training took approximately 500 GPU hours on a single Titan V. |
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# Metrics |
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You can look at the training metrics here: |
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https://wandb.ai/locutusque/TinyMistral-V2/runs/g0rvw6wc |
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🔥 This model performed excellently on TruthfulQA, outperforming models more than 720x its size. These models include: mistralai/Mixtral-8x7B-v0.1, tiiuae/falcon-180B, berkeley-nest/Starling-LM-7B-alpha, upstage/SOLAR-10.7B-v1.0, and more. 🔥 |
