cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.5281/zenodo.17050750
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: 10.25919/gvh6-hk02
title: Parkes observations for project P1054 semester 2025APRS_15

description: With this proposal we ask time to continue our timing follow-up campaign of pulsars discovered with the MeerKAT telescope. Fourtytwo sources have been discovered in targeted observations of Fermi unidentified point sources, two towards Supernova Remnants, 19 in the Magellanic Clouds, 105 in Globular Clusters and 81 in a survey of the Galactic plane. A large fraction of the new discoveries are recycled pulsars (including a few relativistic systems and several 'spider' binaries), or young pulsars. Timing observations have an essential role in exploiting the full potential of any pulsar discovery, allowing for the precise measurement of rotational, astrometric and orbital parameters which, in turn, give us powerful tools to improve our understanding of the physics in extreme environments as well as of the population of neutron stars as a whole. The UWL receiver of the Parkes telescope is a sensitive, versatile instrument that is allowing us to successfully time these new sources, in the bright-end of TRAPUM discoveries.
DOI: 10.15468/dl.c298ju
title: Occurrence Download

description: A dataset containing 2 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Amaranthus dubius",
 "Country is Trinidad and Tobago",
 "HasCoordinate is true"
 ]
}

 The dataset includes 2 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024503-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.ed7dtq
title: Occurrence Download

description: A dataset containing 9 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is one of (Etheostoma australe)",
 "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 9 records from 6 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024504-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.rvqgfm
title: Occurrence Download

description: A dataset containing 8 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is one of (Ocellovelia, Tenagovelia sjoestedti, Tenagovelia, Xiphoveloidea major, Idiocoris, Adelpherupa albescens, Adelpherupa, Ambia chalcichroalis, Ambia melanalis, Argyractis nyasalis, Argyractis, Argyractis nymphulalis, Argyractis periopis, Brihaspa chrysostomus, Brihaspa, Brihaspa frontalis, Calamoschoena stictalis, Calamoschoena, Nymphicula blandialis, Cataclysta, Cataclysta fuscalis, Cataclysta nyasalis, Cataclysta perirrorata, Dejoannisia pallidella, Dejoannisia, Luma flavimarginalis, Luma holoxantha, Nymphula affinialis, Nymphula circealis, Nymphula diminutalis, Parapoynx fluctuosalis, Parapoynx stagnalis, Parthenodes, Parthenodes albiceps, Parthenodes scotalis, Patissa geminalis, Patissa rubrilinealis, Patissa virginea, Piletocera flavalis, Piletocera hemiphaealis, Schoenobius attenuata, Schoenobius caminarius, Schoenobius forficella, Schoenobius ignitalis, Schoenobius phaeopastalis, Schoenobius porrectella, Schoenobius rufalis, Scirpophaga, Stegothyris fasciculalis, Stegothyris, Platychauliodes capensis, Platychauliodes pusillus, Platychauliodes thornei, Taeniochauliodes attenuatus, Taeniochauliodes esbenpeterseni, Leptosialis africana, Leptosialis, Protosialis americana, Zosteraeschna usambarica, Aeshna minuscula, Pinheyschna rileyi, Pinheyschna subpupillata, Aeshna, Anaciaeschna triangulifera, Anaciaeschna, Anax ephippiger, Anax speratus, Anax tristis, Gynacantha manderica, Gynacantha, Gynacantha villosa, Gynacantha usambarica, Phaon iridipennis, Platycypha caligata, Platycypha, Platycypha fitzsimonsi, Aciagrion, Aciagrion gracile, Agriocnemis, Agriocnemis exilis, Agriocnemis falcifera, Agriocnemis gratiosa, Agriocnemis ruberrima, Ceriagrion glabrum, Ceriagrion suave, Azuragrion nigridorsum, )",
 "HasCoordinate is true",
 "HasGeospatialIssue is false",
 "BasisOfRecord is one of (Specimen, Living Specimen, Observation, Human Observation, Machine Observation, Material sample, Literature Occurrence, Material citation, Occurrence evidence)",
 "Geometry POLYGON ((20.7576 -24.3688,20.529 -24.0715,20.509 -24.0715,20.509 -28.5786,25.5395 -28.5786,25.5395 -24.0715,25.1306 -24.0715,24.9333 -24.4571,23.8962 -24.2467,22.8065 -24.295,22.3719 -24.7207,22.2323 -25.547,22.0387 -25.7188,21.7833 -25.7784,21.5388 -25.7113,21.3553 -25.5415,20.7576 -24.3688))"
 ]
}

 The dataset includes 8 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024506-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.6084/m9.figshare.30048475
title: Dataset of chemical composition in hydrological partitioning in a typical subtropical evegreen broad-leaved forest

description: This is a dataset of chemical composition in the hydrological partitioning (including rainfall, throughfall, and stemflow) in a typical subtropical evergreen broad-leaved forest in southern China from January 2020 to December 2021.
DOI: 10.6084/m9.figshare.30048475.v1
title: Dataset of chemical composition in hydrological partitioning in a typical subtropical evegreen broad-leaved forest

description: This is a dataset of chemical composition in the hydrological partitioning (including rainfall, throughfall, and stemflow) in a typical subtropical evergreen broad-leaved forest in southern China from January 2020 to December 2021.
DOI: 10.15468/dl.27v9wv
title: Occurrence Download

description: A dataset containing 3761 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Jatropha mollissima"
 ]
}

 The dataset includes 3761 records from 136 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024505-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.6084/m9.figshare.30043054
title: Supplemental materials.docx

description: This research identifies distinct rumen microbial enterotypes in lactating dairy goats and explores their profound implications for rumen fermentation, microbial interactions, and milk production performance. Through comprehensive analysis of 141 lactating dairy goats, two rumen enterotypes were identified: RE1 (n = 31) and RE2 (n = 110). The RE1 enterotype, characterized by a dominance of Firmicutes taxa (e.g., Oscillospiraceae NK4A214 group, Christensenellaceae R-7 group, and Ruminococcus), was associated with significantly higher milk yield, milk protein content, milk amino acid (AA) concentrations, and elevated ruminal concentrations of total volatile fatty acids (VFA), propionate, butyrate, and AAs. In contrast, the RE2 enterotype was enriched with Bacteroidetes-affiliated genera (e.g., Prevotella, Rikenellaceae RC9 gut group, and Prevotellaceae UCG-003) and exhibited a higher acetate percentage and acetate-to-propionate ratio.Co-occurrence network analysis revealed distinct microbial interactions and keystone taxa between enterotypes, with multiple negative correlations between RE1- and RE2-enriched taxa. Notably, propionate, butyrate, and AA concentrations were positively correlated with the abundance of RE1-dominant taxa and their microbial modules. Structural equation modeling further demonstrated that specific microbial genera were directly linked to milk protein yield via ruminal AA concentrations.These findings underscore the strong relationship between rumen enterotype, fermentation efficiency, and lactational performance in dairy goats. Enterotypes may serve as microbial markers for identifying high-performance animals and open new avenues for improving lactation performance through precision feeding and microbiome-informed management strategies.
DOI: 10.6084/m9.figshare.30043054.v1
title: Supplemental materials.docx

description: This research identifies distinct rumen microbial enterotypes in lactating dairy goats and explores their profound implications for rumen fermentation, microbial interactions, and milk production performance. Through comprehensive analysis of 141 lactating dairy goats, two rumen enterotypes were identified: RE1 (n = 31) and RE2 (n = 110). The RE1 enterotype, characterized by a dominance of Firmicutes taxa (e.g., Oscillospiraceae NK4A214 group, Christensenellaceae R-7 group, and Ruminococcus), was associated with significantly higher milk yield, milk protein content, milk amino acid (AA) concentrations, and elevated ruminal concentrations of total volatile fatty acids (VFA), propionate, butyrate, and AAs. In contrast, the RE2 enterotype was enriched with Bacteroidetes-affiliated genera (e.g., Prevotella, Rikenellaceae RC9 gut group, and Prevotellaceae UCG-003) and exhibited a higher acetate percentage and acetate-to-propionate ratio.Co-occurrence network analysis revealed distinct microbial interactions and keystone taxa between enterotypes, with multiple negative correlations between RE1- and RE2-enriched taxa. Notably, propionate, butyrate, and AA concentrations were positively correlated with the abundance of RE1-dominant taxa and their microbial modules. Structural equation modeling further demonstrated that specific microbial genera were directly linked to milk protein yield via ruminal AA concentrations.These findings underscore the strong relationship between rumen enterotype, fermentation efficiency, and lactational performance in dairy goats. Enterotypes may serve as microbial markers for identifying high-performance animals and open new avenues for improving lactation performance through precision feeding and microbiome-informed management strategies.
DOI: 10.15468/dl.49vh4g
title: Occurrence Download

description: A dataset containing 12 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Amaranthus dubius",
 "Country is United States of America",
 "HasCoordinate is true"
 ]
}

 The dataset includes 12 records from 8 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024507-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.q78ad4
title: Occurrence Download

description: A dataset containing 294 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Carex monostachya",
 "Geometry POLYGON ((-17.62504 -34.81917, 51.13387 -34.81917, 51.13387 37.34999, -17.62504 37.34999, -17.62504 -34.81917))",
 "HasCoordinate is true"
 ]
}

 The dataset includes 294 records from 11 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024508-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.54n8e5
title: Occurrence Download

description: A dataset containing 596560 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Cervus elaphus"
 ]
}

 The dataset includes 596560 records from 1355 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0024450-250827131500795/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.ujdzit
title: Occurrence Download

description: A dataset containing 0 species occurrences available in GBIF matching the query:
{
 "and" : [
 {
 "or" : [
 "BasisOfRecord is Observation",
 "BasisOfRecord is Machine Observation",
 "BasisOfRecord is Human Observation",
 "BasisOfRecord is Literature Occurrence",
 "BasisOfRecord is Living Specimen"
 ]
 },
 "Country is Australia",
 "Geometry POLYGON((-173.96587383660807 -34.65149948293691,-169.96587383660807 -34.65149948293691,-169.96587383660807 -38.65149948293691,-173.96587383660807 -38.65149948293691,-173.96587383660807 -34.65149948293691))",
 "HasCoordinate is true",
 "TaxonKey is Carcharodon carcharias (Linnaeus, 1758)",
 "HasGeospatialIssue is false"
 ]
}

 The dataset includes 0 records from 0 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0008850-180412121330197/datasets/export for details.
DOI: 10.15468/dl.23zqez
title: Occurrence Download

description: A dataset containing 5857 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is one of (Bauhinia angulicaulis Harms, Bauhinia ungulata L., Bauhinia hiemalis Malme, Bauhinia ungulata var. cuyabensis (Bong.) Vaz, Bauhinia ungulata var. obtusifolia (Ducke) Vaz, Bauhinia ungulata var. parvifolia (Ducke) Vaz, Bauhinia ungulata var. ungulata)"
 ]
}

 The dataset includes 5857 records from 223 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0134878-220831081235567/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.8g2cjn
title: Occurrence Download

description: A dataset containing 11303 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Koelreuteria paniculata Laxm.",
 "HasCoordinate is true",
 "HasGeospatialIssue is false"
 ]
}

 The dataset includes 11303 records from 223 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0004660-240130105604617/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.emscef
title: Occurrence Download

description: A dataset containing 5915 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Passerina versicolor (Bonaparte, 1838)",
 "Country is Mexico"
 ]
}

 The dataset includes 5915 records from 63 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0008448-160910150852091/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.4jn777
title: Occurrence Download

description: A dataset containing 1462 species occurrences available in GBIF matching the query:
{
 "DatasetKey" : [
 "is Ministerio de Medio Ambiente, y Medio Rural y Marino. Dirección General de Medio Natural y Política Forestal. Inventario Nacional de Biodiversidad 2007, Flora Vascular Amenazada"
 ]
}

 The dataset includes 1462 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0036772-210914110416597/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.qjmtg7
title: Occurrence Download

description: A dataset containing 41 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Euphorbia restiacea Benth."
 ]
}

 The dataset includes 41 records from 15 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0160822-240321170329656/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.w2f75g
title: Occurrence Download

description: A dataset containing 4094 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Pilosella hoppeana (Schult.) F.W.Schultz & Sch.Bip.",
 "HasCoordinate is true",
 "HasGeospatialIssue is false"
 ]
}

 The dataset includes 4094 records from 48 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0004693-240130105604617/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.6fbvwt
title: Occurrence Download

description: A dataset containing 26 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Pitcairnia pomacochae Rauh"
 ]
}

 The dataset includes 26 records from 5 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0008448-170714134226665/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.vvqdv7
title: Occurrence Download

description: A dataset containing 31 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Erythrochiton giganteus Kaastra & A.H.Gentry"
 ]
}

 The dataset includes 31 records from 7 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0160824-240321170329656/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.g4ahfz
title: Occurrence Download

description: A dataset containing 676 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Salix pentandra L.",
 "MediaType is Image",
 "BasisOfRecord is Human Observation"
 ]
}

 The dataset includes 676 records from 9 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0002075-210914110416597/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.nfmesz
title: Occurrence Download

description: A dataset containing 8 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Eugenia lomensis Britton & P.Wilson"
 ]
}

 The dataset includes 8 records from 4 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0160823-240321170329656/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.wsz8n6
title: Occurrence Download

description: A dataset containing 8 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Begonia brandisiana Kurz"
 ]
}

 The dataset includes 8 records from 5 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0051913-240229165702484/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.qp1epq
title: Occurrence Download

description: A dataset containing 11414 species occurrences available in GBIF matching the query:
{
 "TaxonKey" : [
 "is Peromyscus levipes Merriam, 1898"
 ]
}

 The dataset includes 11414 records from 52 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0008448-171124123535762/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.vqxjfm
title: Occurrence Download

description: A dataset containing 117126 species occurrences available in GBIF matching the query:
{
 "DatasetKey" : [
 "is New Zealand Freshwater Fish Database"
 ]
}

 The dataset includes 117126 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0315348-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.9mgacj
title: Occurrence Download

description: A dataset containing 639 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is Spain",
 "TaxonKey is Senecio inaequidens DC."
 ]
}

 The dataset includes 639 records from 29 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0008448-171219132708484/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.33xvr4
title: Occurrence Download

description: A dataset containing 202 species occurrences available in GBIF matching the query:
{
 "and" : [
 "Country is Ghana",
 "OccurrenceStatus is Present",
 "TaxonKey is Papio anubis (Lesson, 1827)"
 ]
}

 The dataset includes 202 records from 5 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0004665-240130105604617/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.
DOI: 10.15468/dl.x5cu3k
title: Occurrence Download

description: A dataset containing 3023 species occurrences available in GBIF matching the query:
{
 "and" : [
 "DatasetKey is iNaturalist Research-grade Observations",
 {
 "or" : [
 "License is CC-BY-NC 4.0",
 "License is CC-BY 4.0",
 "License is CC0 1.0"
 ]
 },
 "MediaType is Image",
 "TaxonKey is Fraxinus excelsior L."
 ]
}

 The dataset includes 3023 records from 1 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0254759-200613084148143/datasets/export for details.
 
Data from some individual datasets included in this download may be licensed under less restrictive terms.