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cyberbabooshka/MNLP_M3_document_encoder

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1---2tags:3- sentence-transformers4- sentence-similarity5- feature-extraction6- generated_from_trainer7- dataset_size:17608- loss:MultipleNegativesRankingLoss9base_model: WhereIsAI/UAE-Large-V110widget:11- source_sentence: What is the relationship between the x- and y-coordinates in a12    linear relationship, and how can this relationship be represented visually on13    a graph?14  sentences:15  - '"A linear relationship is a relationship between variables such that when plotted16    on a coordinate plane, the points lie on a line." Additionally, "You can think17    of a line, then, as a collection of an infinite number of individual points that18    share the same mathematical relationship."'19  - '"A ''model'' is a situation-specific description of a phenomenon based on a theory,20    that allows us to make a specific prediction." and "In physics, it is particularly21    important to distinguish between these two terms. A model provides an immediate22    understanding of something based on a theory."'23  - '"Use capital letters to denote sets, $A,B, C, X, Y$ etc. [...] if you stick with24    these conventions people reading your work (including the person marking your25    exams) will know — ''Oh $A$ is that set they are talking about'' and ''$a$ is26    an element of that set.''"'27- source_sentence: What factors influence whether thin-film interference results in28    constructive or destructive interference?29  sentences:30  - '"For nonrelativistic velocities, an observer moving along at the same velocity31    as an Ohmic conductor measures the usual Ohm''s law in his reference frame, $\textbf{J}_{f}''32    = \sigma \textbf{E}''$... the current density in all inertial frames is the same33    so that (3) in (4) gives us the generalized Ohm''s law as $\textbf{J}_{f}'' =34    \textbf{J}_{f} = \sigma (\textbf{E} + \textbf{v} \times \textbf{B})$ where v is35    the velocity of the conductor."'36  - '"Thin-film interference thus depends on film thickness, the wavelength of light,37    and the refractive indices."'38  - '"A summary of the properties of concave mirrors is shown below: • converging39    • real image • inverted • image in front of mirror. A summary of the properties40    of convex mirrors is shown below: • diverging • virtual image • upright • image41    behind mirror."'42- source_sentence: How do non-conservative forces affect the total energy change in43    a system undergoing an irreversible process?44  sentences:45  - '"Energy is conserved but some mechanical energy has been transferred into nonrecoverable46    energy $W_{\mathrm{nc}}$. We shall refer to processes in which there is non-zero47    nonrecoverable energy as irreversible processes."'48  - '"Hamilton’s equations give $2s$ first-order differential equations for $p_{k},q_{k}$49    for each of the $s=n-m$ degrees of freedom. Lagrange’s equations give $s$ second-order50    differential equations for the $s$ independent generalized coordinates $q_{k},\dot{q}_{k}."'51  - '"Determine what happens as $\Delta x$ approaches 0."'52- source_sentence: What are the conditions under which a mutant virus is likely to53    replace a wildtype virus in a population, according to the SIR model of disease54    dynamics?55  sentences:56  - '"In the limit of high Reynolds number, viscosity disappears from the problem57    and the drag force should not depend on viscosity. This reasoning contains several58    subtle untruths, yet its conclusion is mostly correct. ... To make \( F \) independent59    of viscosity, \( F \) must be independent of Reynolds number!"'60  - '"A more mathematically rigorous name would be the renormalization monoid."'61  - '"I^{\prime}$ increases exponentially if $\frac{\beta^{\prime}(d+c+\gamma)}{\beta}-\left(d+c^{\prime}+\gamma^{\prime}\right)>0$62    or after some elementary algebra, $\frac{\beta^{\prime}}{d+c^{\prime}+\gamma^{\prime}}>\frac{\beta}{d+c+\gamma}$."63    Additionally, "our result (4.6.8) suggests that endemic viruses (or other microorganisms)64    will tend to evolve (i) to be more easily transmitted between people $\left(\beta^{\prime}>\beta\right)65    ;$ (ii) to make people sick longer $\left(\gamma^{\prime}<\gamma\right)$, and;66    (iii) to be less deadly $c^{\prime}<c$."'67- source_sentence: What is the relationship between the smallest perturbation of a68    matrix and its rank, as established in theorems regarding matrix perturbations?69  sentences:70  - '"Suppose $A \in C^{m \times n}$ has full column rank (= n). Then $\min _{\Delta71    \in \mathbb{C}^{m \times n}}\left\{\|\Delta\|_{2} \mid A+\Delta \text { has rank72    }<n\right\}=\sigma_{n}(A)$."'73  - '"Complementary angles have measures that add up to 90 degrees."'74  - '"If a beam of light enters and then exits the elevator, the observer on Earth75    and the one accelerating in empty space must observe the same thing, since they76    cannot distinguish between being on Earth or accelerating in space. The observer77    in space, who is accelerating, will observe that the beam of light bends as it78    crosses the elevator... that means that if the path of a beam of light is curved79    near Earth, it must be because space itself is curved in the presence of a gravitational80    field!"'81pipeline_tag: sentence-similarity82library_name: sentence-transformers83metrics:84- cosine_accuracy@185- cosine_accuracy@386- cosine_accuracy@587- cosine_accuracy@1088- cosine_precision@189- cosine_precision@390- cosine_precision@591- cosine_precision@1092- cosine_recall@193- cosine_recall@394- cosine_recall@595- cosine_recall@1096- cosine_ndcg@1097- cosine_mrr@1098- cosine_map@10099model-index:100- name: SentenceTransformer based on WhereIsAI/UAE-Large-V1101  results:102  - task:103      type: information-retrieval104      name: Information Retrieval105    dataset:106      name: eval107      type: eval108    metrics:109    - type: cosine_accuracy@1110      value: 0.6142857142857143111      name: Cosine Accuracy@1112    - type: cosine_accuracy@3113      value: 0.7357142857142858114      name: Cosine Accuracy@3115    - type: cosine_accuracy@5116      value: 0.7833333333333333117      name: Cosine Accuracy@5118    - type: cosine_accuracy@10119      value: 0.8380952380952381120      name: Cosine Accuracy@10121    - type: cosine_precision@1122      value: 0.6142857142857143123      name: Cosine Precision@1124    - type: cosine_precision@3125      value: 0.24523809523809523126      name: Cosine Precision@3127    - type: cosine_precision@5128      value: 0.15666666666666665129      name: Cosine Precision@5130    - type: cosine_precision@10131      value: 0.08380952380952378132      name: Cosine Precision@10133    - type: cosine_recall@1134      value: 0.6142857142857143135      name: Cosine Recall@1136    - type: cosine_recall@3137      value: 0.7357142857142858138      name: Cosine Recall@3139    - type: cosine_recall@5140      value: 0.7833333333333333141      name: Cosine Recall@5142    - type: cosine_recall@10143      value: 0.8380952380952381144      name: Cosine Recall@10145    - type: cosine_ndcg@10146      value: 0.7234956246301203147      name: Cosine Ndcg@10148    - type: cosine_mrr@10149      value: 0.6871305744520029150      name: Cosine Mrr@10151    - type: cosine_map@100152      value: 0.6925322242948972153      name: Cosine Map@100154---155 156# SentenceTransformer based on WhereIsAI/UAE-Large-V1157 158This is a [sentence-transformers](https://www.SBERT.net) model finetuned from [WhereIsAI/UAE-Large-V1](https://huggingface.co/WhereIsAI/UAE-Large-V1). It maps sentences & paragraphs to a 1024-dimensional dense vector space and can be used for semantic textual similarity, semantic search, paraphrase mining, text classification, clustering, and more.159 160## Model Details161 162### Model Description163- **Model Type:** Sentence Transformer164- **Base model:** [WhereIsAI/UAE-Large-V1](https://huggingface.co/WhereIsAI/UAE-Large-V1) <!-- at revision f4264cd240f4e46a527f9f57a70cda6c2a12d248 -->165- **Maximum Sequence Length:** 512 tokens166- **Output Dimensionality:** 1024 dimensions167- **Similarity Function:** Cosine Similarity168<!-- - **Training Dataset:** Unknown -->169<!-- - **Language:** Unknown -->170<!-- - **License:** Unknown -->171 172### Model Sources173 174- **Documentation:** [Sentence Transformers Documentation](https://sbert.net)175- **Repository:** [Sentence Transformers on GitHub](https://github.com/UKPLab/sentence-transformers)176- **Hugging Face:** [Sentence Transformers on Hugging Face](https://huggingface.co/models?library=sentence-transformers)177 178### Full Model Architecture179 180```181SentenceTransformer(182  (0): Transformer({'max_seq_length': 512, 'do_lower_case': False}) with Transformer model: BertModel 183  (1): Pooling({'word_embedding_dimension': 1024, 'pooling_mode_cls_token': True, 'pooling_mode_mean_tokens': False, 'pooling_mode_max_tokens': False, 'pooling_mode_mean_sqrt_len_tokens': False, 'pooling_mode_weightedmean_tokens': False, 'pooling_mode_lasttoken': False, 'include_prompt': True})184)185```186 187## Usage188 189### Direct Usage (Sentence Transformers)190 191First install the Sentence Transformers library:192 193```bash194pip install -U sentence-transformers195```196 197Then you can load this model and run inference.198```python199from sentence_transformers import SentenceTransformer200 201# Download from the 🤗 Hub202model = SentenceTransformer("cyberbabooshka/uae_large_ft1")203# Run inference204sentences = [205    'What is the relationship between the smallest perturbation of a matrix and its rank, as established in theorems regarding matrix perturbations?',206    '"Suppose $A \\in C^{m \\times n}$ has full column rank (= n). Then $\\min _{\\Delta \\in \\mathbb{C}^{m \\times n}}\\left\\{\\|\\Delta\\|_{2} \\mid A+\\Delta \\text { has rank }<n\\right\\}=\\sigma_{n}(A)$."',207    '"If a beam of light enters and then exits the elevator, the observer on Earth and the one accelerating in empty space must observe the same thing, since they cannot distinguish between being on Earth or accelerating in space. The observer in space, who is accelerating, will observe that the beam of light bends as it crosses the elevator... that means that if the path of a beam of light is curved near Earth, it must be because space itself is curved in the presence of a gravitational field!"',208]209embeddings = model.encode(sentences)210print(embeddings.shape)211# [3, 1024]212 213# Get the similarity scores for the embeddings214similarities = model.similarity(embeddings, embeddings)215print(similarities.shape)216# [3, 3]217```218 219<!--220### Direct Usage (Transformers)221 222<details><summary>Click to see the direct usage in Transformers</summary>223 224</details>225-->226 227<!--228### Downstream Usage (Sentence Transformers)229 230You can finetune this model on your own dataset.231 232<details><summary>Click to expand</summary>233 234</details>235-->236 237<!--238### Out-of-Scope Use239 240*List how the model may foreseeably be misused and address what users ought not to do with the model.*241-->242 243## Evaluation244 245### Metrics246 247#### Information Retrieval248 249* Dataset: `eval`250* Evaluated with [<code>InformationRetrievalEvaluator</code>](https://sbert.net/docs/package_reference/sentence_transformer/evaluation.html#sentence_transformers.evaluation.InformationRetrievalEvaluator)251 252| Metric              | Value      |253|:--------------------|:-----------|254| cosine_accuracy@1   | 0.6143     |255| cosine_accuracy@3   | 0.7357     |256| cosine_accuracy@5   | 0.7833     |257| cosine_accuracy@10  | 0.8381     |258| cosine_precision@1  | 0.6143     |259| cosine_precision@3  | 0.2452     |260| cosine_precision@5  | 0.1567     |261| cosine_precision@10 | 0.0838     |262| cosine_recall@1     | 0.6143     |263| cosine_recall@3     | 0.7357     |264| cosine_recall@5     | 0.7833     |265| cosine_recall@10    | 0.8381     |266| **cosine_ndcg@10**  | **0.7235** |267| cosine_mrr@10       | 0.6871     |268| cosine_map@100      | 0.6925     |269 270<!--271## Bias, Risks and Limitations272 273*What are the known or foreseeable issues stemming from this model? You could also flag here known failure cases or weaknesses of the model.*274-->275 276<!--277### Recommendations278 279*What are recommendations with respect to the foreseeable issues? For example, filtering explicit content.*280-->281 282## Training Details283 284### Training Dataset285 286#### Unnamed Dataset287 288* Size: 1,760 training samples289* Columns: <code>anchor</code> and <code>positive</code>290* Approximate statistics based on the first 1000 samples:291  |         | anchor                                                                            | positive                                                                            |292  |:--------|:----------------------------------------------------------------------------------|:------------------------------------------------------------------------------------|293  | type    | string                                                                            | string                                                                              |294  | details | <ul><li>min: 9 tokens</li><li>mean: 24.87 tokens</li><li>max: 70 tokens</li></ul> | <ul><li>min: 11 tokens</li><li>mean: 68.37 tokens</li><li>max: 500 tokens</li></ul> |295* Samples:296  | anchor                                                                                                                                             | positive                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |297  |:---------------------------------------------------------------------------------------------------------------------------------------------------|:----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|298  | <code>How is a proper coloring of a graph defined in the context of vertices and edges?</code>                                                     | <code>"A coloring is called proper if for each edge joining two distinct vertices, the two vertices it joins have different colors."</code>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         |299  | <code>What is the relationship between the first excited state of the box model and the p orbitals in a hydrogen atom?</code>                      | <code>"The p orbitals are similar to the first excited state of the box, i.e. $(n_{x},n_{y},n_{z})=(2,1,1)$ is similar to a $p_{x}$ orbital, $(n_{x},n_{y},n_{z})=(1,2,1)$ is similar to a $p_{y}$ orbital and $(n_{x},n_{y},n_{z})=(1,1,2)$ is similar to a $p_{z}$ orbital."</code>                                                                                                                                                                                                                                                                                                                                                               |300  | <code>How can the behavior of the derivative \( f'(x) \) indicate the presence of a local maximum or minimum at a critical point \( x=a \)?</code> | <code>"If there is a local maximum when \( x=a \), the function must be lower near \( x=a \) than it is right at \( x=a \). If the derivative exists near \( x=a \), this means \( f'(x)>0 \) when \( x \) is near \( a \) and \( x < a \), because the function must 'slope up' just to the left of \( a \). Similarly, \( f'(x) < 0 \) when \( x \) is near \( a \) and \( x>a \), because \( f \) slopes down from the local maximum as we move to the right. Using the same reasoning, if there is a local minimum at \( x=a \), the derivative of \( f \) must be negative just to the left of \( a \) and positive just to the right."</code> |301* Loss: [<code>MultipleNegativesRankingLoss</code>](https://sbert.net/docs/package_reference/sentence_transformer/losses.html#multiplenegativesrankingloss) with these parameters:302  ```json303  {304      "scale": 20.0,305      "similarity_fct": "cos_sim"306  }307  ```308 309### Evaluation Dataset310 311#### Unnamed Dataset312 313* Size: 420 evaluation samples314* Columns: <code>anchor</code> and <code>positive</code>315* Approximate statistics based on the first 420 samples:316  |         | anchor                                                                             | positive                                                                           |317  |:--------|:-----------------------------------------------------------------------------------|:-----------------------------------------------------------------------------------|318  | type    | string                                                                             | string                                                                             |319  | details | <ul><li>min: 12 tokens</li><li>mean: 24.97 tokens</li><li>max: 66 tokens</li></ul> | <ul><li>min: 7 tokens</li><li>mean: 68.52 tokens</li><li>max: 452 tokens</li></ul> |320* Samples:321  | anchor                                                                                                                              | positive                                                                                                                                                                                                                                                       |322  |:------------------------------------------------------------------------------------------------------------------------------------|:---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|323  | <code>What are the two central classes mentioned in the FileSystem framework and what do they represent?</code>                     | <code>"The class `FileReference` is the most important entry point to the framework." and "FileSystem is a powerful and elegant library to manipulate files."</code>                                                                                           |324  | <code>What is the significance of Turing's work in the context of PDE-based models for self-organization of complex systems?</code> | <code>"Turing’s monumental work on the chemical basis of morphogenesis played an important role in igniting researchers’ attention to the PDE-based continuous field models as a mathematical framework to study self-organization of complex systems."</code> |325  | <code>What are the two options for reducing accelerations as discussed in the passage?</code>                                       | <code>"From the above definitions we see that there are really two options for reducing accelerations. We can reduce the amount that velocity changes, or we can increase the time over which the velocity changes (or both)."</code>                          |326* Loss: [<code>MultipleNegativesRankingLoss</code>](https://sbert.net/docs/package_reference/sentence_transformer/losses.html#multiplenegativesrankingloss) with these parameters:327  ```json328  {329      "scale": 20.0,330      "similarity_fct": "cos_sim"331  }332  ```333 334### Training Hyperparameters335#### Non-Default Hyperparameters336 337- `eval_strategy`: epoch338- `per_device_train_batch_size`: 16339- `per_device_eval_batch_size`: 16340- `learning_rate`: 2e-05341- `weight_decay`: 0.05342- `num_train_epochs`: 10343- `warmup_ratio`: 0.1344- `fp16`: True345- `eval_on_start`: True346 347#### All Hyperparameters348<details><summary>Click to expand</summary>349 350- `overwrite_output_dir`: False351- `do_predict`: False352- `eval_strategy`: epoch353- `prediction_loss_only`: True354- `per_device_train_batch_size`: 16355- `per_device_eval_batch_size`: 16356- `per_gpu_train_batch_size`: None357- `per_gpu_eval_batch_size`: None358- `gradient_accumulation_steps`: 1359- `eval_accumulation_steps`: None360- `torch_empty_cache_steps`: None361- `learning_rate`: 2e-05362- `weight_decay`: 0.05363- `adam_beta1`: 0.9364- `adam_beta2`: 0.999365- `adam_epsilon`: 1e-08366- `max_grad_norm`: 1.0367- `num_train_epochs`: 10368- `max_steps`: -1369- `lr_scheduler_type`: linear370- `lr_scheduler_kwargs`: {}371- `warmup_ratio`: 0.1372- `warmup_steps`: 0373- `log_level`: passive374- `log_level_replica`: warning375- `log_on_each_node`: True376- `logging_nan_inf_filter`: True377- `save_safetensors`: True378- `save_on_each_node`: False379- `save_only_model`: False380- `restore_callback_states_from_checkpoint`: False381- `no_cuda`: False382- `use_cpu`: False383- `use_mps_device`: False384- `seed`: 42385- `data_seed`: None386- `jit_mode_eval`: False387- `use_ipex`: False388- `bf16`: False389- `fp16`: True390- `fp16_opt_level`: O1391- `half_precision_backend`: auto392- `bf16_full_eval`: False393- `fp16_full_eval`: False394- `tf32`: None395- `local_rank`: 0396- `ddp_backend`: None397- `tpu_num_cores`: None398- `tpu_metrics_debug`: False399- `debug`: []400- `dataloader_drop_last`: False401- `dataloader_num_workers`: 0402- `dataloader_prefetch_factor`: None403- `past_index`: -1404- `disable_tqdm`: False405- `remove_unused_columns`: True406- `label_names`: None407- `load_best_model_at_end`: False408- `ignore_data_skip`: False409- `fsdp`: []410- `fsdp_min_num_params`: 0411- `fsdp_config`: {'min_num_params': 0, 'xla': False, 'xla_fsdp_v2': False, 'xla_fsdp_grad_ckpt': False}412- `fsdp_transformer_layer_cls_to_wrap`: None413- `accelerator_config`: {'split_batches': False, 'dispatch_batches': None, 'even_batches': True, 'use_seedable_sampler': True, 'non_blocking': False, 'gradient_accumulation_kwargs': None}414- `deepspeed`: None415- `label_smoothing_factor`: 0.0416- `optim`: adamw_torch417- `optim_args`: None418- `adafactor`: False419- `group_by_length`: False420- `length_column_name`: length421- `ddp_find_unused_parameters`: None422- `ddp_bucket_cap_mb`: None423- `ddp_broadcast_buffers`: False424- `dataloader_pin_memory`: True425- `dataloader_persistent_workers`: False426- `skip_memory_metrics`: True427- `use_legacy_prediction_loop`: False428- `push_to_hub`: False429- `resume_from_checkpoint`: None430- `hub_model_id`: None431- `hub_strategy`: every_save432- `hub_private_repo`: None433- `hub_always_push`: False434- `gradient_checkpointing`: False435- `gradient_checkpointing_kwargs`: None436- `include_inputs_for_metrics`: False437- `include_for_metrics`: []438- `eval_do_concat_batches`: True439- `fp16_backend`: auto440- `push_to_hub_model_id`: None441- `push_to_hub_organization`: None442- `mp_parameters`: 443- `auto_find_batch_size`: False444- `full_determinism`: False445- `torchdynamo`: None446- `ray_scope`: last447- `ddp_timeout`: 1800448- `torch_compile`: False449- `torch_compile_backend`: None450- `torch_compile_mode`: None451- `include_tokens_per_second`: False452- `include_num_input_tokens_seen`: False453- `neftune_noise_alpha`: None454- `optim_target_modules`: None455- `batch_eval_metrics`: False456- `eval_on_start`: True457- `use_liger_kernel`: False458- `eval_use_gather_object`: False459- `average_tokens_across_devices`: False460- `prompts`: None461- `batch_sampler`: batch_sampler462- `multi_dataset_batch_sampler`: proportional463 464</details>465 466### Training Logs467<details><summary>Click to expand</summary>468 469| Epoch  | Step | Training Loss | Validation Loss | eval_cosine_ndcg@10 |470|:------:|:----:|:-------------:|:---------------:|:-------------------:|471| 0      | 0    | -             | 0.0971          | 0.6824              |472| 0.0091 | 1    | 0.1198        | -               | -                   |473| 0.0182 | 2    | 0.0787        | -               | -                   |474| 0.0273 | 3    | 0.0614        | -               | -                   |475| 0.0364 | 4    | 0.138         | -               | -                   |476| 0.0455 | 5    | 0.1204        | -               | -                   |477| 0.0545 | 6    | 0.1885        | -               | -                   |478| 0.0636 | 7    | 0.0475        | -               | -                   |479| 0.0727 | 8    | 0.1358        | -               | -                   |480| 0.0818 | 9    | 0.1666        | -               | -                   |481| 0.0909 | 10   | 0.0737        | -               | -                   |482| 0.1    | 11   | 0.0997        | -               | -                   |483| 0.1091 | 12   | 0.0795        | -               | -                   |484| 0.1182 | 13   | 0.1071        | -               | -                   |485| 0.1273 | 14   | 0.1224        | -               | -                   |486| 0.1364 | 15   | 0.0499        | -               | -                   |487| 0.1455 | 16   | 0.0806        | -               | -                   |488| 0.1545 | 17   | 0.0353        | -               | -                   |489| 0.1636 | 18   | 0.0542        | -               | -                   |490| 0.1727 | 19   | 0.0412        | -               | -                   |491| 0.1818 | 20   | 0.1375        | -               | -                   |492| 0.1909 | 21   | 0.1124        | -               | -                   |493| 0.2    | 22   | 0.0992        | -               | -                   |494| 0.2091 | 23   | 0.0285        | -               | -                   |495| 0.2182 | 24   | 0.0337        | -               | -                   |496| 0.2273 | 25   | 0.0737        | -               | -                   |497| 0.2364 | 26   | 0.2011        | -               | -                   |498| 0.2455 | 27   | 0.0241        | -               | -                   |499| 0.2545 | 28   | 0.1319        | -               | -                   |500| 0.2636 | 29   | 0.0104        | -               | -                   |501| 0.2727 | 30   | 0.0162        | -               | -                   |502| 0.2818 | 31   | 0.3061        | -               | -                   |503| 0.2909 | 32   | 0.0422        | -               | -                   |504| 0.3    | 33   | 0.1893        | -               | -                   |505| 0.3091 | 34   | 0.0207        | -               | -                   |506| 0.3182 | 35   | 0.0744        | -               | -                   |507| 0.3273 | 36   | 0.0246        | -               | -                   |508| 0.3364 | 37   | 0.0079        | -               | -                   |509| 0.3455 | 38   | 0.0256        | -               | -                   |510| 0.3545 | 39   | 0.0224        | -               | -                   |511| 0.3636 | 40   | 0.0151        | -               | -                   |512| 0.3727 | 41   | 0.0738        | -               | -                   |513| 0.3818 | 42   | 0.0239        | -               | -                   |514| 0.3909 | 43   | 0.0169        | -               | -                   |515| 0.4    | 44   | 0.0152        | -               | -                   |516| 0.4091 | 45   | 0.0244        | -               | -                   |517| 0.4182 | 46   | 0.1708        | -               | -                   |518| 0.4273 | 47   | 0.0146        | -               | -                   |519| 0.4364 | 48   | 0.1367        | -               | -                   |520| 0.4455 | 49   | 0.049         | -               | -                   |521| 0.4545 | 50   | 0.0211        | -               | -                   |522| 0.4636 | 51   | 0.0135        | -               | -                   |523| 0.4727 | 52   | 0.0668        | -               | -                   |524| 0.4818 | 53   | 0.087         | -               | -                   |525| 0.4909 | 54   | 0.0046        | -               | -                   |526| 0.5    | 55   | 0.0032        | -               | -                   |527| 0.5091 | 56   | 0.0133        | -               | -                   |528| 0.5182 | 57   | 0.0109        | -               | -                   |529| 0.5273 | 58   | 0.0396        | -               | -                   |530| 0.5364 | 59   | 0.0291        | -               | -                   |531| 0.5455 | 60   | 0.0299        | -               | -                   |532| 0.5545 | 61   | 0.0134        | -               | -                   |533| 0.5636 | 62   | 0.0135        | -               | -                   |534| 0.5727 | 63   | 0.0049        | -               | -                   |535| 0.5818 | 64   | 0.0199        | -               | -                   |536| 0.5909 | 65   | 0.1533        | -               | -                   |537| 0.6    | 66   | 0.3639        | -               | -                   |538| 0.6091 | 67   | 0.0652        | -               | -                   |539| 0.6182 | 68   | 0.0315        | -               | -                   |540| 0.6273 | 69   | 0.0403        | -               | -                   |541| 0.6364 | 70   | 0.011         | -               | -                   |542| 0.6455 | 71   | 0.0265        | -               | -                   |543| 0.6545 | 72   | 0.1146        | -               | -                   |544| 0.6636 | 73   | 0.0932        | -               | -                   |545| 0.6727 | 74   | 0.0234        | -               | -                   |546| 0.6818 | 75   | 0.0581        | -               | -                   |547| 0.6909 | 76   | 0.0132        | -               | -                   |548| 0.7    | 77   | 0.1183        | -               | -                   |549| 0.7091 | 78   | 0.0913        | -               | -                   |550| 0.7182 | 79   | 0.0262        | -               | -                   |551| 0.7273 | 80   | 0.0262        | -               | -                   |552| 0.7364 | 81   | 0.0159        | -               | -                   |553| 0.7455 | 82   | 0.0407        | -               | -                   |554| 0.7545 | 83   | 0.0294        | -               | -                   |555| 0.7636 | 84   | 0.0567        | -               | -                   |556| 0.7727 | 85   | 0.0959        | -               | -                   |557| 0.7818 | 86   | 0.033         | -               | -                   |558| 0.7909 | 87   | 0.0234        | -               | -                   |559| 0.8    | 88   | 0.0088        | -               | -                   |560| 0.8091 | 89   | 0.0249        | -               | -                   |561| 0.8182 | 90   | 0.0276        | -               | -                   |562| 0.8273 | 91   | 0.0936        | -               | -                   |563| 0.8364 | 92   | 0.0067        | -               | -                   |564| 0.8455 | 93   | 0.0064        | -               | -                   |565| 0.8545 | 94   | 0.0654        | -               | -                   |566| 0.8636 | 95   | 0.0048        | -               | -                   |567| 0.8727 | 96   | 0.0087        | -               | -                   |568| 0.8818 | 97   | 0.0115        | -               | -                   |569| 0.8909 | 98   | 0.0092        | -               | -                   |570| 0.9    | 99   | 0.0514        | -               | -                   |571| 0.9091 | 100  | 0.1856        | -               | -                   |572| 0.9182 | 101  | 0.0364        | -               | -                   |573| 0.9273 | 102  | 0.0455        | -               | -                   |574| 0.9364 | 103  | 0.0057        | -               | -                   |575| 0.9455 | 104  | 0.0038        | -               | -                   |576| 0.9545 | 105  | 0.0209        | -               | -                   |577| 0.9636 | 106  | 0.0247        | -               | -                   |578| 0.9727 | 107  | 0.0735        | -               | -                   |579| 0.9818 | 108  | 0.004         | -               | -                   |580| 0.9909 | 109  | 0.0174        | -               | -                   |581| 1.0    | 110  | 0.018         | 0.0282          | 0.7093              |582| 1.0091 | 111  | 0.0187        | -               | -                   |583| 1.0182 | 112  | 0.0116        | -               | -                   |584| 1.0273 | 113  | 0.0043        | -               | -                   |585| 1.0364 | 114  | 0.0059        | -               | -                   |586| 1.0455 | 115  | 0.0067        | -               | -                   |587| 1.0545 | 116  | 0.0093        | -               | -                   |588| 1.0636 | 117  | 0.0821        | -               | -                   |589| 1.0727 | 118  | 0.0097        | -               | -                   |590| 1.0818 | 119  | 0.0141        | -               | -                   |591| 1.0909 | 120  | 0.0202        | -               | -                   |592| 1.1    | 121  | 0.0034        | -               | -                   |593| 1.1091 | 122  | 0.0025        | -               | -                   |594| 1.1182 | 123  | 0.006         | -               | -                   |595| 1.1273 | 124  | 0.004         | -               | -                   |596| 1.1364 | 125  | 0.003         | -               | -                   |597| 1.1455 | 126  | 0.0399        | -               | -                   |598| 1.1545 | 127  | 0.0026        | -               | -                   |599| 1.1636 | 128  | 0.0043        | -               | -                   |600| 1.1727 | 129  | 0.1317        | -               | -                   |601| 1.1818 | 130  | 0.0024        | -               | -                   |602| 1.1909 | 131  | 0.0027        | -               | -                   |603| 1.2    | 132  | 0.076         | -               | -                   |604| 1.2091 | 133  | 0.0302        | -               | -                   |605| 1.2182 | 134  | 0.0026        | -               | -                   |606| 1.2273 | 135  | 0.1611        | -               | -                   |607| 1.2364 | 136  | 0.0413        | -               | -                   |608| 1.2455 | 137  | 0.0118        | -               | -                   |609| 1.2545 | 138  | 0.0042        | -               | -                   |610| 1.2636 | 139  | 0.0401        | -               | -                   |611| 1.2727 | 140  | 0.0036        | -               | -                   |612| 1.2818 | 141  | 0.0034        | -               | -                   |613| 1.2909 | 142  | 0.0026        | -               | -                   |614| 1.3    | 143  | 0.0044        | -               | -                   |615| 1.3091 | 144  | 0.0024        | -               | -                   |616| 1.3182 | 145  | 0.0036        | -               | -                   |617| 1.3273 | 146  | 0.0242        | -               | -                   |618| 1.3364 | 147  | 0.0015        | -               | -                   |619| 1.3455 | 148  | 0.1008        | -               | -                   |620| 1.3545 | 149  | 0.0057        | -               | -                   |621| 1.3636 | 150  | 0.0062        | -               | -                   |622| 1.3727 | 151  | 0.0048        | -               | -                   |623| 1.3818 | 152  | 0.0026        | -               | -                   |624| 1.3909 | 153  | 0.0045        | -               | -                   |625| 1.4    | 154  | 0.0139        | -               | -                   |626| 1.4091 | 155  | 0.0017        | -               | -                   |627| 1.4182 | 156  | 0.0012        | -               | -                   |628| 1.4273 | 157  | 0.0009        | -               | -                   |629| 1.4364 | 158  | 0.006         | -               | -                   |630| 1.4455 | 159  | 0.0618        | -               | -                   |631| 1.4545 | 160  | 0.0889        | -               | -                   |632| 1.4636 | 161  | 0.0034        | -               | -                   |633| 1.4727 | 162  | 0.0184        | -               | -                   |634| 1.4818 | 163  | 0.0035        | -               | -                   |635| 1.4909 | 164  | 0.002         | -               | -                   |636| 1.5    | 165  | 0.0115        | -               | -                   |637| 1.5091 | 166  | 0.0008        | -               | -                   |638| 1.5182 | 167  | 0.0113        | -               | -                   |639| 1.5273 | 168  | 0.01          | -               | -                   |640| 1.5364 | 169  | 0.0177        | -               | -                   |641| 1.5455 | 170  | 0.0059        | -               | -                   |642| 1.5545 | 171  | 0.0123        | -               | -                   |643| 1.5636 | 172  | 0.0103        | -               | -                   |644| 1.5727 | 173  | 0.008         | -               | -                   |645| 1.5818 | 174  | 0.002         | -               | -                   |646| 1.5909 | 175  | 0.0039        | -               | -                   |647| 1.6    | 176  | 0.0174        | -               | -                   |648| 1.6091 | 177  | 0.0191        | -               | -                   |649| 1.6182 | 178  | 0.002         | -               | -                   |650| 1.6273 | 179  | 0.0009        | -               | -                   |651| 1.6364 | 180  | 0.0021        | -               | -                   |652| 1.6455 | 181  | 0.0011        | -               | -                   |653| 1.6545 | 182  | 0.0027        | -               | -                   |654| 1.6636 | 183  | 0.0005        | -               | -                   |655| 1.6727 | 184  | 0.0026        | -               | -                   |656| 1.6818 | 185  | 0.0047        | -               | -                   |657| 1.6909 | 186  | 0.0033        | -               | -                   |658| 1.7    | 187  | 0.0402        | -               | -                   |659| 1.7091 | 188  | 0.0128        | -               | -                   |660| 1.7182 | 189  | 0.01          | -               | -                   |661| 1.7273 | 190  | 0.0057        | -               | -                   |662| 1.7364 | 191  | 0.0133        | -               | -                   |663| 1.7455 | 192  | 0.0099        | -               | -                   |664| 1.7545 | 193  | 0.1022        | -               | -                   |665| 1.7636 | 194  | 0.0223        | -               | -                   |666| 1.7727 | 195  | 0.0037        | -               | -                   |667| 1.7818 | 196  | 0.0073        | -               | -                   |668| 1.7909 | 197  | 0.0212        | -               | -                   |669| 1.8    | 198  | 0.0231        | -               | -                   |670| 1.8091 | 199  | 0.0016        | -               | -                   |671| 1.8182 | 200  | 0.0017        | -               | -                   |672| 1.8273 | 201  | 0.0035        | -               | -                   |673| 1.8364 | 202  | 0.0165        | -               | -                   |674| 1.8455 | 203  | 0.0131        | -               | -                   |675| 1.8545 | 204  | 0.0032        | -               | -                   |676| 1.8636 | 205  | 0.0075        | -               | -                   |677| 1.8727 | 206  | 0.0438        | -               | -                   |678| 1.8818 | 207  | 0.0022        | -               | -                   |679| 1.8909 | 208  | 0.0501        | -               | -                   |680| 1.9    | 209  | 0.0121        | -               | -                   |681| 1.9091 | 210  | 0.0036        | -               | -                   |682| 1.9182 | 211  | 0.0041        | -               | -                   |683| 1.9273 | 212  | 0.0048        | -               | -                   |684| 1.9364 | 213  | 0.0159        | -               | -                   |685| 1.9455 | 214  | 0.0036        | -               | -                   |686| 1.9545 | 215  | 0.0035        | -               | -                   |687| 1.9636 | 216  | 0.004         | -               | -                   |688| 1.9727 | 217  | 0.0039        | -               | -                   |689| 1.9818 | 218  | 0.0177        | -               | -                   |690| 1.9909 | 219  | 0.0042        | -               | -                   |691| 2.0    | 220  | 0.0044        | 0.0230          | 0.7225              |692| 2.0091 | 221  | 0.0339        | -               | -                   |693| 2.0182 | 222  | 0.0032        | -               | -                   |694| 2.0273 | 223  | 0.0133        | -               | -                   |695| 2.0364 | 224  | 0.0031        | -               | -                   |696| 2.0455 | 225  | 0.0025        | -               | -                   |697| 2.0545 | 226  | 0.0039        | -               | -                   |698| 2.0636 | 227  | 0.0011        | -               | -                   |699| 2.0727 | 228  | 0.0021        | -               | -                   |700| 2.0818 | 229  | 0.0591        | -               | -                   |701| 2.0909 | 230  | 0.0011        | -               | -                   |702| 2.1    | 231  | 0.0008        | -               | -                   |703| 2.1091 | 232  | 0.0014        | -               | -                   |704| 2.1182 | 233  | 0.0057        | -               | -                   |705| 2.1273 | 234  | 0.0044        | -               | -                   |706| 2.1364 | 235  | 0.001         | -               | -                   |707| 2.1455 | 236  | 0.0009        | -               | -                   |708| 2.1545 | 237  | 0.0028        | -               | -                   |709| 2.1636 | 238  | 0.0076        | -               | -                   |710| 2.1727 | 239  | 0.0018        | -               | -                   |711| 2.1818 | 240  | 0.0022        | -               | -                   |712| 2.1909 | 241  | 0.0029        | -               | -                   |713| 2.2    | 242  | 0.0004        | -               | -                   |714| 2.2091 | 243  | 0.0025        | -               | -                   |715| 2.2182 | 244  | 0.0013        | -               | -                   |716| 2.2273 | 245  | 0.0487        | -               | -                   |717| 2.2364 | 246  | 0.0016        | -               | -                   |718| 2.2455 | 247  | 0.0023        | -               | -                   |719| 2.2545 | 248  | 0.0038        | -               | -                   |720| 2.2636 | 249  | 0.003         | -               | -                   |721| 2.2727 | 250  | 0.0017        | -               | -                   |722| 2.2818 | 251  | 0.0056        | -               | -                   |723| 2.2909 | 252  | 0.0036        | -               | -                   |724| 2.3    | 253  | 0.0016        | -               | -                   |725| 2.3091 | 254  | 0.0021        | -               | -                   |726| 2.3182 | 255  | 0.0019        | -               | -                   |727| 2.3273 | 256  | 0.001         | -               | -                   |728| 2.3364 | 257  | 0.0017        | -               | -                   |729| 2.3455 | 258  | 0.0027        | -               | -                   |730| 2.3545 | 259  | 0.0039        | -               | -                   |731| 2.3636 | 260  | 0.0011        | -               | -                   |732| 2.3727 | 261  | 0.0248        | -               | -                   |733| 2.3818 | 262  | 0.0219        | -               | -                   |734| 2.3909 | 263  | 0.0015        | -               | -                   |735| 2.4    | 264  | 0.0009        | -               | -                   |736| 2.4091 | 265  | 0.0013        | -               | -                   |737| 2.4182 | 266  | 0.0049        | -               | -                   |738| 2.4273 | 267  | 0.0073        | -               | -                   |739| 2.4364 | 268  | 0.007         | -               | -                   |740| 2.4455 | 269  | 0.0024        | -               | -                   |741| 2.4545 | 270  | 0.0008        | -               | -                   |742| 2.4636 | 271  | 0.001         | -               | -                   |743| 2.4727 | 272  | 0.0016        | -               | -                   |744| 2.4818 | 273  | 0.0007        | -               | -                   |745| 2.4909 | 274  | 0.0091        | -               | -                   |746| 2.5    | 275  | 0.0127        | -               | -                   |747| 2.5091 | 276  | 0.0013        | -               | -                   |748| 2.5182 | 277  | 0.001         | -               | -                   |749| 2.5273 | 278  | 0.0006        | -               | -                   |750| 2.5364 | 279  | 0.005         | -               | -                   |751| 2.5455 | 280  | 0.0154        | -               | -                   |752| 2.5545 | 281  | 0.0015        | -               | -                   |753| 2.5636 | 282  | 0.0229        | -               | -                   |754| 2.5727 | 283  | 0.0026        | -               | -                   |755| 2.5818 | 284  | 0.0008        | -               | -                   |756| 2.5909 | 285  | 0.0024        | -               | -                   |757| 2.6    | 286  | 0.0012        | -               | -                   |758| 2.6091 | 287  | 0.0748        | -               | -                   |759| 2.6182 | 288  | 0.0086        | -               | -                   |760| 2.6273 | 289  | 0.0013        | -               | -                   |761| 2.6364 | 290  | 0.0089        | -               | -                   |762| 2.6455 | 291  | 0.0011        | -               | -                   |763| 2.6545 | 292  | 0.0096        | -               | -                   |764| 2.6636 | 293  | 0.1416        | -               | -                   |765| 2.6727 | 294  | 0.0005        | -               | -                   |766| 2.6818 | 295  | 0.0021        | -               | -                   |767| 2.6909 | 296  | 0.0014        | -               | -                   |768| 2.7    | 297  | 0.0097        | -               | -                   |769| 2.7091 | 298  | 0.0014        | -               | -                   |770| 2.7182 | 299  | 0.0009        | -               | -                   |771| 2.7273 | 300  | 0.0016        | -               | -                   |772| 2.7364 | 301  | 0.0166        | -               | -                   |773| 2.7455 | 302  | 0.0028        | -               | -                   |774| 2.7545 | 303  | 0.0014        | -               | -                   |775| 2.7636 | 304  | 0.0018        | -               | -                   |776| 2.7727 | 305  | 0.0059        | -               | -                   |777| 2.7818 | 306  | 0.0012        | -               | -                   |778| 2.7909 | 307  | 0.0008        | -               | -                   |779| 2.8    | 308  | 0.0007        | -               | -                   |780| 2.8091 | 309  | 0.0038        | -               | -                   |781| 2.8182 | 310  | 0.0012        | -               | -                   |782| 2.8273 | 311  | 0.0091        | -               | -                   |783| 2.8364 | 312  | 0.0111        | -               | -                   |784| 2.8455 | 313  | 0.0016        | -               | -                   |785| 2.8545 | 314  | 0.0089        | -               | -                   |786| 2.8636 | 315  | 0.0071        | -               | -                   |787| 2.8727 | 316  | 0.0012        | -               | -                   |788| 2.8818 | 317  | 0.0251        | -               | -                   |789| 2.8909 | 318  | 0.0017        | -               | -                   |790| 2.9    | 319  | 0.0006        | -               | -                   |791| 2.9091 | 320  | 0.0014        | -               | -                   |792| 2.9182 | 321  | 0.0011        | -               | -                   |793| 2.9273 | 322  | 0.0084        | -               | -                   |794| 2.9364 | 323  | 0.0055        | -               | -                   |795| 2.9455 | 324  | 0.0011        | -               | -                   |796| 2.9545 | 325  | 0.0017        | -               | -                   |797| 2.9636 | 326  | 0.0008        | -               | -                   |798| 2.9727 | 327  | 0.0082        | -               | -                   |799| 2.9818 | 328  | 0.0006        | -               | -                   |800| 2.9909 | 329  | 0.0008        | -               | -                   |801| 3.0    | 330  | 0.0022        | 0.0275          | 0.6950              |802| 3.0091 | 331  | 0.0007        | -               | -                   |803| 3.0182 | 332  | 0.0012        | -               | -                   |804| 3.0273 | 333  | 0.0007        | -               | -                   |805| 3.0364 | 334  | 0.0038        | -               | -                   |806| 3.0455 | 335  | 0.0006        | -               | -                   |807| 3.0545 | 336  | 0.0012        | -               | -                   |808| 3.0636 | 337  | 0.0873        | -               | -                   |809| 3.0727 | 338  | 0.0022        | -               | -                   |810| 3.0818 | 339  | 0.0004        | -               | -                   |811| 3.0909 | 340  | 0.001         | -               | -                   |812| 3.1    | 341  | 0.0002        | -               | -                   |813| 3.1091 | 342  | 0.0069        | -               | -                   |814| 3.1182 | 343  | 0.0009        | -               | -                   |815| 3.1273 | 344  | 0.0101        | -               | -                   |816| 3.1364 | 345  | 0.0022        | -               | -                   |817| 3.1455 | 346  | 0.009         | -               | -                   |818| 3.1545 | 347  | 0.0018        | -               | -                   |819| 3.1636 | 348  | 0.0018        | -               | -                   |820| 3.1727 | 349  | 0.0045        | -               | -                   |821| 3.1818 | 350  | 0.029         | -               | -                   |822| 3.1909 | 351  | 0.0036        | -               | -                   |823| 3.2    | 352  | 0.0015        | -               | -                   |824| 3.2091 | 353  | 0.0021        | -               | -                   |825| 3.2182 | 354  | 0.0103        | -               | -                   |826| 3.2273 | 355  | 0.0005        | -               | -                   |827| 3.2364 | 356  | 0.0133        | -               | -                   |828| 3.2455 | 357  | 0.0015        | -               | -                   |829| 3.2545 | 358  | 0.001         | -               | -                   |830| 3.2636 | 359  | 0.0024        | -               | -                   |831| 3.2727 | 360  | 0.0052        | -               | -                   |832| 3.2818 | 361  | 0.0032        | -               | -                   |833| 3.2909 | 362  | 0.0024        | -               | -                   |834| 3.3    | 363  | 0.0008        | -               | -                   |835| 3.3091 | 364  | 0.0035        | -               | -                   |836| 3.3182 | 365  | 0.0012        | -               | -                   |837| 3.3273 | 366  | 0.0049        | -               | -                   |838| 3.3364 | 367  | 0.0452        | -               | -                   |839| 3.3455 | 368  | 0.0017        | -               | -                   |840| 3.3545 | 369  | 0.0112        | -               | -                   |841| 3.3636 | 370  | 0.0011        | -               | -                   |842| 3.3727 | 371  | 0.0016        | -               | -                   |843| 3.3818 | 372  | 0.0015        | -               | -                   |844| 3.3909 | 373  | 0.004         | -               | -                   |845| 3.4    | 374  | 0.0074        | -               | -                   |846| 3.4091 | 375  | 0.0005        | -               | -                   |847| 3.4182 | 376  | 0.0007        | -               | -                   |848| 3.4273 | 377  | 0.0014        | -               | -                   |849| 3.4364 | 378  | 0.0097        | -               | -                   |850| 3.4455 | 379  | 0.0026        | -               | -                   |851| 3.4545 | 380  | 0.0022        | -               | -                   |852| 3.4636 | 381  | 0.001         | -               | -                   |853| 3.4727 | 382  | 0.0004        | -               | -                   |854| 3.4818 | 383  | 0.004         | -               | -                   |855| 3.4909 | 384  | 0.0017        | -               | -                   |856| 3.5    | 385  | 0.0014        | -               | -                   |857| 3.5091 | 386  | 0.001         | -               | -                   |858| 3.5182 | 387  | 0.0047        | -               | -                   |859| 3.5273 | 388  | 0.0061        | -               | -                   |860| 3.5364 | 389  | 0.0017        | -               | -                   |861| 3.5455 | 390  | 0.0024        | -               | -                   |862| 3.5545 | 391  | 0.0021        | -               | -                   |863| 3.5636 | 392  | 0.0007        | -               | -                   |864| 3.5727 | 393  | 0.0009        | -               | -                   |865| 3.5818 | 394  | 0.0006        | -               | -                   |866| 3.5909 | 395  | 0.0038        | -               | -                   |867| 3.6    | 396  | 0.0006        | -               | -                   |868| 3.6091 | 397  | 0.0011        | -               | -                   |869| 3.6182 | 398  | 0.001         | -               | -                   |870| 3.6273 | 399  | 0.0014        | -               | -                   |871| 3.6364 | 400  | 0.0007        | -               | -                   |872| 3.6455 | 401  | 0.0052        | -               | -                   |873| 3.6545 | 402  | 0.0008        | -               | -                   |874| 3.6636 | 403  | 0.0009        | -               | -                   |875| 3.6727 | 404  | 0.0017        | -               | -                   |876| 3.6818 | 405  | 0.0028        | -               | -                   |877| 3.6909 | 406  | 0.0044        | -               | -                   |878| 3.7    | 407  | 0.0009        | -               | -                   |879| 3.7091 | 408  | 0.0134        | -               | -                   |880| 3.7182 | 409  | 0.001         | -               | -                   |881| 3.7273 | 410  | 0.0044        | -               | -                   |882| 3.7364 | 411  | 0.0138        | -               | -                   |883| 3.7455 | 412  | 0.0032        | -               | -                   |884| 3.7545 | 413  | 0.0004        | -               | -                   |885| 3.7636 | 414  | 0.0065        | -               | -                   |886| 3.7727 | 415  | 0.0007        | -               | -                   |887| 3.7818 | 416  | 0.0008        | -               | -                   |888| 3.7909 | 417  | 0.0007        | -               | -                   |889| 3.8    | 418  | 0.0018        | -               | -                   |890| 3.8091 | 419  | 0.001         | -               | -                   |891| 3.8182 | 420  | 0.0305        | -               | -                   |892| 3.8273 | 421  | 0.001         | -               | -                   |893| 3.8364 | 422  | 0.0011        | -               | -                   |894| 3.8455 | 423  | 0.0004        | -               | -                   |895| 3.8545 | 424  | 0.003         | -               | -                   |896| 3.8636 | 425  | 0.002         | -               | -                   |897| 3.8727 | 426  | 0.0018        | -               | -                   |898| 3.8818 | 427  | 0.0968        | -               | -                   |899| 3.8909 | 428  | 0.002         | -               | -                   |900| 3.9    | 429  | 0.002         | -               | -                   |901| 3.9091 | 430  | 0.0156        | -               | -                   |902| 3.9182 | 431  | 0.0059        | -               | -                   |903| 3.9273 | 432  | 0.001         | -               | -                   |904| 3.9364 | 433  | 0.0153        | -               | -                   |905| 3.9455 | 434  | 0.0013        | -               | -                   |906| 3.9545 | 435  | 0.0003        | -               | -                   |907| 3.9636 | 436  | 0.001         | -               | -                   |908| 3.9727 | 437  | 0.0005        | -               | -                   |909| 3.9818 | 438  | 0.0012        | -               | -                   |910| 3.9909 | 439  | 0.0109        | -               | -                   |911| 4.0    | 440  | 0.1597        | 0.0211          | 0.7235              |912| 4.0091 | 441  | 0.0027        | -               | -                   |913| 4.0182 | 442  | 0.0007        | -               | -                   |914| 4.0273 | 443  | 0.0089        | -               | -                   |915| 4.0364 | 444  | 0.0007        | -               | -                   |916| 4.0455 | 445  | 0.005         | -               | -                   |917| 4.0545 | 446  | 0.0019        | -               | -                   |918| 4.0636 | 447  | 0.0007        | -               | -                   |919| 4.0727 | 448  | 0.0008        | -               | -                   |920| 4.0818 | 449  | 0.002         | -               | -                   |921| 4.0909 | 450  | 0.043         | -               | -                   |922| 4.1    | 451  | 0.0273        | -               | -                   |923| 4.1091 | 452  | 0.0009        | -               | -                   |924| 4.1182 | 453  | 0.0011        | -               | -                   |925| 4.1273 | 454  | 0.0007        | -               | -                   |926| 4.1364 | 455  | 0.0062        | -               | -                   |927| 4.1455 | 456  | 0.0004        | -               | -                   |928| 4.1545 | 457  | 0.0008        | -               | -                   |929| 4.1636 | 458  | 0.0128        | -               | -                   |930| 4.1727 | 459  | 0.0012        | -               | -                   |931| 4.1818 | 460  | 0.0013        | -               | -                   |932| 4.1909 | 461  | 0.0009        | -               | -                   |933| 4.2    | 462  | 0.0011        | -               | -                   |934| 4.2091 | 463  | 0.0336        | -               | -                   |935| 4.2182 | 464  | 0.0018        | -               | -                   |936| 4.2273 | 465  | 0.0009        | -               | -                   |937| 4.2364 | 466  | 0.0049        | -               | -                   |938| 4.2455 | 467  | 0.0012        | -               | -                   |939| 4.2545 | 468  | 0.001         | -               | -                   |940| 4.2636 | 469  | 0.0024        | -               | -                   |941| 4.2727 | 470  | 0.0063        | -               | -                   |942| 4.2818 | 471  | 0.0008        | -               | -                   |943| 4.2909 | 472  | 0.0793        | -               | -                   |944| 4.3    | 473  | 0.0016        | -               | -                   |945| 4.3091 | 474  | 0.0016        | -               | -                   |946| 4.3182 | 475  | 0.0043        | -               | -                   |947| 4.3273 | 476  | 0.036         | -               | -                   |948| 4.3364 | 477  | 0.002         | -               | -                   |949| 4.3455 | 478  | 0.0019        | -               | -                   |950| 4.3545 | 479  | 0.0012        | -               | -                   |951| 4.3636 | 480  | 0.0059        | -               | -                   |952| 4.3727 | 481  | 0.0017        | -               | -                   |953| 4.3818 | 482  | 0.0004        | -               | -                   |954| 4.3909 | 483  | 0.0014        | -               | -                   |955| 4.4    | 484  | 0.0143        | -               | -                   |956| 4.4091 | 485  | 0.0014        | -               | -                   |957| 4.4182 | 486  | 0.0009        | -               | -                   |958| 4.4273 | 487  | 0.0027        | -               | -                   |959| 4.4364 | 488  | 0.0017        | -               | -                   |960| 4.4455 | 489  | 0.0007        | -               | -                   |961| 4.4545 | 490  | 0.0008        | -               | -                   |962| 4.4636 | 491  | 0.0008        | -               | -                   |963| 4.4727 | 492  | 0.0014        | -               | -                   |964| 4.4818 | 493  | 0.0011        | -               | -                   |965| 4.4909 | 494  | 0.0013        | -               | -                   |966| 4.5    | 495  | 0.0016        | -               | -                   |967| 4.5091 | 496  | 0.001         | -               | -                   |968| 4.5182 | 497  | 0.0008        | -               | -                   |969| 4.5273 | 498  | 0.001         | -               | -                   |970| 4.5364 | 499  | 0.0019        | -               | -                   |971| 4.5455 | 500  | 0.0008        | -               | -                   |972 973</details>974 975### Framework Versions976- Python: 3.12.9977- Sentence Transformers: 4.1.0978- Transformers: 4.52.3979- PyTorch: 2.6.0+cu124980- Accelerate: 1.7.0981- Datasets: 3.6.0982- Tokenizers: 0.21.1983 984## Citation985 986### BibTeX987 988#### Sentence Transformers989```bibtex990@inproceedings{reimers-2019-sentence-bert,991    title = "Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks",992    author = "Reimers, Nils and Gurevych, Iryna",993    booktitle = "Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing",994    month = "11",995    year = "2019",996    publisher = "Association for Computational Linguistics",997    url = "https://arxiv.org/abs/1908.10084",998}999```1000 1001#### MultipleNegativesRankingLoss1002```bibtex1003@misc{henderson2017efficient,1004    title={Efficient Natural Language Response Suggestion for Smart Reply},1005    author={Matthew Henderson and Rami Al-Rfou and Brian Strope and Yun-hsuan Sung and Laszlo Lukacs and Ruiqi Guo and Sanjiv Kumar and Balint Miklos and Ray Kurzweil},1006    year={2017},1007    eprint={1705.00652},1008    archivePrefix={arXiv},1009    primaryClass={cs.CL}1010}1011```1012 1013<!--1014## Glossary1015 1016*Clearly define terms in order to be accessible across audiences.*1017-->1018 1019<!--1020## Model Card Authors1021 1022*Lists the people who create the model card, providing recognition and accountability for the detailed work that goes into its construction.*1023-->1024 1025<!--1026## Model Card Contact1027 1028*Provides a way for people who have updates to the Model Card, suggestions, or questions, to contact the Model Card authors.*1029-->