cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.5281/zenodo.17067302
title: INU: A Structural Framework for Compressed Arithmetic and Discrete Transformation

description: This archive presents INU (Intuitive Numerical Unification), a proposed framework for compressing arithmetic operations through structural classification and periodic transformations. INU includes a notation system for INU operations, an n-radix extension, and a dimensional generalization applicable to problems such as the Collatz Conjecture and the Four Color Theorem.

The file contains LaTeX source documents, preliminary classification tables, and symbol definitions. INU treats numerical entities as convertible types and provides discrete analogs for topological transformations.

This research aims to inspire new approaches to number theory, combinatorics, and structural proofs.

 

This framework does not seek final correctness, but rather the richness of inquiry. It is offered not as a conclusion, but as a beginning—an invitation to transform arithmetic through structure.

This work may contain errors. But if its structure holds, others will correct the rest. It is shared not for perfection, but for possibility.

 

Note on NamingThe name INU (Intuitive Numerical Unification) carries a personal and symbolic meaning. In Japanese, the word inu (dog) is sometimes used as a prefix to denote something humble or inferior. The framework embraces this nuance, reflecting the idea that even from a modest or overlooked origin, intuitive thinking can lead to meaningful mathematical structures. INU thus represents a system born from simplicity and insight, aiming to unify and compress arithmetic through structural transformation.

 

Note on Fool AlgebraIn addition to its structural framework, INU embraces a philosophical stance known as fool algebra.Unlike traditional algebraic systems that seek rigor through abstraction, fool algebra begins with intuition, visual structure, and the courage to appear foolish. It reflects the idea that wisdom often wears the mask of simplicity, and that breakthroughs may arise not from complexity, but from clarity.

Fool algebra treats numerical entities not merely as values, but as types—visual, compressible, and transformable. It invites the mathematician to step outside formalism, to see patterns where others see noise, and to compress arithmetic into structure.

This is not a rejection of rigor, but a reordering of priorities: structure first, proof second.Fool algebra is not a conclusion—it is a stance. A way of thinking. A way of seeing.

 

Words to be engraved on a gravestone (inscription style)

Here lies the mind behind INU(x) := ρ(ϕτ(x)(x)),A transformation of arithmetic into structure.

If x ∈ {INU}, then perhaps P != NP.Let future mathematicians decide.

By STUDENT
DOI: 10.15468/dl.ph5frn
title: Occurrence Download

description: A dataset containing 56 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Polyporus hemicapnodes"
 ]
}

 The dataset includes 56 records from 16 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034639-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.3h9htq
title: Occurrence Download

description: A dataset containing 8 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Trifolium vesiculosum",
 "Country is Czechia",
 "HasCoordinate is true"
 ]
}

 The dataset includes 8 records from 2 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034642-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.8cwryr
title: Occurrence Download

description: A dataset containing 211 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Trifolium vesiculosum",
 "Country is Australia",
 "HasCoordinate is true"
 ]
}

 The dataset includes 211 records from 12 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034640-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.f3qzrz
title: Occurrence Download

description: A dataset containing 8 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Trifolium vesiculosum",
 "Country is Belgium",
 "HasCoordinate is true"
 ]
}

 The dataset includes 8 records from 2 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034641-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.7yrppj
title: Occurrence Download

description: A dataset containing 0 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is one of (Garra ornata, Garra regressus, Garra tana, Garra trewavasae, Garra waterloti, Gobiomorphus gobioides, Hypophthalmichthys nobilis, Labeo alluaudi, Labeo alticentralis, Labeo altivelis, Labeo annectens, Labeo ansorgii, Labeo barbatus, Labeo batesii, Labeo bottegi, Labeo boulengeri, Labeo brachypoma, Labeo brunellii, Labeo camerunensis, Labeo capensis, Labeo chariensis, Labeo congoro, Labeo coubie, Labeo curriei, Labeo cyclopinnis, Labeo cyclorhynchus, Labeo cylindricus, Labeo degeni, Labeo dhonti, Labeo falcipinnis, Labeo forskalii, Labeotropheus fuelleborni, Labeo fulakariensis, Labeo greenii, Labeo gregorii, Labeo horie, Labeo kibimbi, Labeo kirkii, Labeo lineatus, Labeo longipinnis, Labeo lualabaensis, Labeo lukulae, Labeo luluae, Labeo lunatus, Labeo macrostoma, Labeo maleboensis, Labeo mesops, Labeo molybdinus, Labeo nasus, Labeo nigricans, Labeo niloticus, Labeo nunensis, Labeo parvus, Labeo percivali, Labeo polli, Labeo quadribarbis, Labeo rectipinnis, Labeo reidi, Labeobarbus rocadasi, Labeo rosae, Labeo roseopunctatus, Labeo rouaneti, Labeo rubromaculatus, Labeo ruddi, Labeo sanagaensis, Labeo seeberi, Labeo senegalensis, Labeo simpsoni, Labeo sorex, Labeo tongaensis, Labeo trigliceps, Labeo umbratus, Labeo victorianus, Labeo weeksii, Labeo werneri, Labeo worthingtoni, Labeobarbus acuticeps, Labeobarbus acutirostris, Labeobarbus aeneus, Labeobarbus alluaudi, Labeobarbus altianalis, Labeobarbus altipinnis, Labeobarbus ansorgii, Labeobarbus aspius, Labeobarbus axelrodi, Labeobarbus batesii, Labeobarbus beso, Labeobarbus brauni, Labeobarbus brevispinis, Labeobarbus bynni, Labeobarbus bynni occidentalis, Labeobarbus bynni waldroni, Labeobarbus cardozoi, Labeobarbus caudovittatus, Labeobarbus clarkeae, Labeobarbus claudinae, Labeobarbus codringtonii, Labeobarbus compiniei, Labeobarbus crassibarbis, Labeobarbus dainellii)",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "BasisOfRecord is one of (Specimen, Observation, Human Observation, Machine Observation, Material sample, Literature Occurrence, Material citation, Occurrence evidence)",
 "Geometry POLYGON ((-23.2862 17.2255,-23.4937 16.8096,-23.4003 15.7935,-23.8743 15.8233,-24.2178 15.531,-24.9647 15.3946,-25.2488 14.8377,-25.0969 14.4751,-24.7024 14.3018,-23.9298 14.5093,-23.3237 14.4311,-22.7909 14.7585,-22.613 15.0206,-22.6491 15.5015,-22.293 15.7351,-22.1649 16.0843,-22.476 17.116,-22.919 17.3554,-23.2862 17.2255))"
 ]
}

 The dataset includes 0 records from 0 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034643-250827131500795/datasets/export for details.
DOI: 10.15468/dl.5jkjdx
title: Occurrence Download

description: A dataset containing 14 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Perenniporia africana"
 ]
}

 The dataset includes 14 records from 2 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034645-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.5281/zenodo.17067291
title: Hearing ability and angiosperm-associated mimicry boost mantis diversification

description: The zip file contain all supplementary files of the research. 

The predatory lifestyle of mantises has long intrigued biologists, yet how their defensive strategies influence diversification processes remains poorly understood. In this study, we investigated the diversification patterns of Eumantodea, focusing on the impact of two key defensive traits: mantis hearing and angiosperm-associated mimicry. Our trait-independent analyses revealed a four-stage trend in net diversification rates. We propose that the rise of angiosperms created a series of novel ecological niches for angiosperm-associated mimicry mantises, which likely accelerated their net diversification rate. On the other hand, as the natural enemies of mantises, the radiation of modern frogs, lizards, birds and mammals may explain the subsequent decline of net diversification rate in Eumantodea. The origins of mantis hearing and angiosperm-associated mimicry are hypothesized to present an “ecological escape” from Anura, Squamata or other vertebrate predators. Trait-dependent analyses indicated higher speciation rate in hearing mantises, angiosperm-associated mimicry mantises, and specialized flower-associated mimicry mantises. Using Eumantodea as a research model, our study elucidates how defensive strategies influence diversification processes and highlights the significant role of the rise of angiosperms in facilitating not only insect pollinators and herbivores, but also predatory insect groups from a macroevolutionary perspective.
DOI: 10.5281/zenodo.17067292
title: Hearing ability and angiosperm-associated mimicry boost mantis diversification

description: The zip file contain all supplementary files of the research. 

The predatory lifestyle of mantises has long intrigued biologists, yet how their defensive strategies influence diversification processes remains poorly understood. In this study, we investigated the diversification patterns of Eumantodea, focusing on the impact of two key defensive traits: mantis hearing and angiosperm-associated mimicry. Our trait-independent analyses revealed a four-stage trend in net diversification rates. We propose that the rise of angiosperms created a series of novel ecological niches for angiosperm-associated mimicry mantises, which likely accelerated their net diversification rate. On the other hand, as the natural enemies of mantises, the radiation of modern frogs, lizards, birds and mammals may explain the subsequent decline of net diversification rate in Eumantodea. The origins of mantis hearing and angiosperm-associated mimicry are hypothesized to present an “ecological escape” from Anura, Squamata or other vertebrate predators. Trait-dependent analyses indicated higher speciation rate in hearing mantises, angiosperm-associated mimicry mantises, and specialized flower-associated mimicry mantises. Using Eumantodea as a research model, our study elucidates how defensive strategies influence diversification processes and highlights the significant role of the rise of angiosperms in facilitating not only insect pollinators and herbivores, but also predatory insect groups from a macroevolutionary perspective.
DOI: 10.15468/dl.e8sn89
title: Occurrence Download

description: A dataset containing 0 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Oithona davisae",
 "Country is Greece",
 "HasCoordinate is true"
 ]
}

 The dataset includes 0 records from 0 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034647-250827131500795/datasets/export for details.
DOI: 10.15468/dl.w4gku2
title: Occurrence Download

description: A dataset containing 51 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is Hong Kong",
 "TaxonKey is Auplopus"
 ]
}

 The dataset includes 51 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034646-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.qqdn49
title: Occurrence Download

description: A dataset containing 7 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Oithona davisae",
 "Country is Romania",
 "HasCoordinate is true"
 ]
}

 The dataset includes 7 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034648-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.kdqypa
title: Occurrence Download

description: A dataset containing 6438 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Continent is Asia",
 "TaxonKey is Melanitta americana",
 "Year 1901-2025"
 ]
}

 The dataset includes 6438 records from 16 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034650-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.emttwt
title: Occurrence Download

description: A dataset containing 204 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Oithona davisae",
 "Country is Ukraine",
 "HasCoordinate is true"
 ]
}

 The dataset includes 204 records from 2 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034649-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.fup6pk
title: Occurrence Download

description: A dataset containing 17 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is one of (Aspidoras poecilus)",
 "BasisOfRecord is one of (Specimen, Literature Occurrence, Human Observation, Observation)",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "Year is greater than or equal to 1991",
 "Year is less than or equal to 2025"
 ]
}

 The dataset includes 17 records from 5 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034651-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.9k977s
title: Occurrence Download

description: A dataset containing 257764 species occurrences available in GBIF matching the query:
{
 "and" : [
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "OccurrenceStatus is Present",
 "TaxonKey is Cydalima perspectalis"
 ]
}

 The dataset includes 257764 records from 532 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034600-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.bwu9f2
title: Occurrence Download

description: A dataset containing 16 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Carya poilanei (A.Chev.) Leroy"
 ]
}

 The dataset includes 16 records from 4 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0022742-250402121839773/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.w4499t
title: Occurrence Download

description: A dataset listing the 412417 species recorded in GBIF matching the query:
{
 "DatasetKey" : [
 "is iNaturalist Research-grade Observations"
 ]
}

 The dataset's 412417 records were derived from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0010317-240906103802322/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.5517/ccdc.csd.cc238v3c
title: CCDC 1944912: Experimental Crystal Structure Determination

description: Related Article: Toshikazu Ono,  Hyuga Shinjo,  Daiki Koga,  Yoshio Hisaeda|2019|Eur.J.Org.Chem.|2019|7578|doi:10.1002/ejoc.201901497
description: An entry from the Cambridge Structural Database, the world’s repository for small molecule crystal structures. The entry contains experimental data from a crystal diffraction study. The deposited dataset for this entry is freely available from the CCDC and typically includes 3D coordinates, cell parameters, space group, experimental conditions and quality measures.
DOI: 10.15468/dl.t5r73m
title: Occurrence Download

description: A dataset containing 67109 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is one of (Amaranthus caudatus L., Amaranthus hybridus L., Amaranthus hybridus subsp. hybridus)"
 ]
}

 The dataset includes 67109 records from 1309 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0010338-240906103802322/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.un4psb
title: Occurrence Download

description: A dataset containing 32 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Orestias empyraeus Allen, 1942"
 ]
}

 The dataset includes 32 records from 8 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0010339-240906103802322/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.yh34sr
title: Occurrence Download

description: A dataset containing 328911 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is one of (Agrostemma githago L., Ailanthus altissima (Mill.) Swingle, Aira caryophyllea L.)"
 ]
}

 The dataset includes 328911 records from 2321 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0010319-240906103802322/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.gfo814
title: Occurrence Download

description: A dataset containing 2179 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Handroanthus serratifolius (Vahl) S.O.Grose"
 ]
}

 The dataset includes 2179 records from 124 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024730-191105090559680/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.uz0gne
title: Occurrence Download

description: A dataset containing 227 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Digitaria cuyabensis (Trin.) Parodi"
 ]
}

 The dataset includes 227 records from 34 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0001968-171124123535762/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.tymph5
title: Occurrence Download

description: A dataset containing 22700 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is Tanzania, United Republic of",
 "IucnRedListCategory is CR"
 ]
}

 The dataset includes 22700 records from 140 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0001585-240216155721649/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.dxorb2
title: Occurrence Download

description: A dataset containing 428 species occurrences available in GBIF matching the query:
{
 "and" : [
 "HasCoordinate is true",
 "TaxonKey is Ophiophagus hannah (Cantor, 1836)",
 "HasGeospatialIssue is false"
 ]
}

 The dataset includes 428 records from 17 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0001968-180131172636756/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.rfytmm
title: Occurrence Download

description: A dataset containing 845 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Silverstoneia nubicola (Dunn, 1924)"
 ]
}

 The dataset includes 845 records from 39 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0004744-200221144449610/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.jp4rfy
title: Occurrence Download

description: A dataset containing 2711 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Arthropoda",
 "Country is Liberia"
 ]
}

 The dataset includes 2711 records from 52 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0001969-150504100648427/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.37t42r
title: Occurrence Download

description: A dataset containing 1 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Pitcairnia cofanorum Manzan. & W.Till"
 ]
}

 The dataset includes 1 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0185628-240321170329656/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.hhz2s2
title: Occurrence Download

description: A dataset containing 80 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Scorpaena scrofa Linnaeus, 1758",
 "Year 1899-1951"
 ]
}

 The dataset includes 80 records from 20 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0001594-240216155721649/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.ywqlg8
title: Occurrence Download

description: A dataset containing 4736 species occurrences available in GBIF matching the query:
{
 "and" : [
 "BasisOfRecord is Specimen",
 "HasCoordinate is true",
 "TaxonKey is Avenella flexuosa (L.) Drejer",
 "HasGeospatialIssue is false"
 ]
}

 The dataset includes 4736 records from 162 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0034111-191105090559680/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.j560v3
title: Occurrence Download

description: A dataset containing 40177 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Pyrgus Hübner, 1819",
 "HasGeospatialIssue is false",
 "HasCoordinate is true"
 ]
}

 The dataset includes 40177 records from 136 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0001969-150512124619364/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.hs53tq
title: Occurrence Download

description: A dataset containing 53 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Protocodon robinsiae (Small) Morin"
 ]
}

 The dataset includes 53 records from 18 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0185629-240321170329656/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.