cometadata/datacite-titles-descriptions-related-identifiers huggingface dataset:
DOI: 10.15468/dl.6zafst
title: Occurrence Download

description: A dataset containing 0 species occurrences available in GBIF matching the query:
{
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 "BasisOfRecord is one of (Human Observation, Machine Observation, Occurrence evidence, Observation)",
 "TaxonKey is one of (Leptodactylus albilabris (Günther, 1859))",
 "Country is one of (Åland Islands, Albania, Andorra, Austria, Belarus, Belgium, Bosnia and Herzegovina, Bulgaria, Croatia, Czechia, Denmark, Estonia, Faroe Islands, Finland, France, Germany, Gibraltar, Greece, Guernsey, Holy See, Hungary, Iceland, Ireland, Isle of Man, Italy, Jersey, Latvia, Liechtenstein, Lithuania, Luxembourg, Malta, Moldova, Republic of, Monaco, Montenegro, Netherlands, North Macedonia, Norway, Poland, Portugal, Romania, Russian Federation, San Marino, Serbia, Slovakia, Slovenia, Spain, Svalbard and Jan Mayen, Sweden, Switzerland, Ukraine, United Kingdom of Great Britain and Northern Ireland)"
 ]
}

 The dataset includes 0 records from 0 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0112064-250525065834625/datasets/export for details.
DOI: 10.3535/sfq-7fq-xnt
title: Cyathea phalerata Mart.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/t3d-nc7-cdb
title: Polystichum dissimulans Maxon

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/etx-vxb-30p
title: Selaginella muscosa Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/f7a-yjm-pcp
title: Polystichum orbiculatum (Desv.) J. Rémy & Fée

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/7em-smf-9m7
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/v7y-37v-35b
title: Anacyclus pyrethrum (L.) Link

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/qka-6w9-jj2
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/ka1-19n-6se
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/zr3-t1t-k15
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/v8n-mac-xa3
title: Terpsichore chrysleri (Copel.) A. R. Sm.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/x6x-w39-lvh
title: Haplopteris elongata (Sw.) E. H. Crane

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/q6q-jhv-cfr
title: Haplopteris elongata (Sw.) E. H. Crane

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/x9j-1s0-yvj
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/h4g-05q-cmp
title: Haplopteris elongata (Sw.) E. H. Crane

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/s2p-n7a-0k3
title: Haplopteris elongata (Sw.) E. H. Crane

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/h12-ltc-sjj
title: Haplopteris elongata (Sw.) E. H. Crane

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/z01-7y7-bcq
title: Selaginella macrostachya (Spring) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/ks8-c7x-8ww
title: Selaginella muscosa Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.15468/dl.4baruc
title: Occurrence Download

description: A dataset containing 0 species occurrences available in GBIF matching the query:
{
 "and" : [
 "TaxonKey is Acanthospermum hispidum DC.",
 "Country is Mexico",
 "HasCoordinate is true"
 ]
}

 The dataset includes 0 records from 0 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0112065-250525065834625/datasets/export for details.
DOI: 10.3535/6c1-x7x-sc5
title: Bryodesma dregei (C. Presl) Soják

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/hcp-055-6xr
title: Pulviniella digitata (Spring) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/1v3-zk1-fpq
title: Pteris fauriei Hieron.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/rz5-m1f-0jy
title: Triplophyllum angustifolium Holttum

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/45t-0q0-4z8
title: Pyrrosia porosa (C. Presl) Hovenkamp

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/lf8-5ym-t0r
title: Pyrrosia porosa (C. Presl) Hovenkamp

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/y9x-tbk-5hd
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/7l2-4rn-dxe
title: Haplopteris elongata (Sw.) E. H. Crane

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/hyn-sw4-np9
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/nk7-c0q-p9d
title: Amauropelta rudis (Kunze) Pic. Serm.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/vem-gdk-0fz
title: Amauropelta rudis (Kunze) Pic. Serm.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.15468/dl.tuvgaq
title: Occurrence Download

description: A dataset containing 0 species occurrences available in GBIF matching the query:
{
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 "BasisOfRecord is one of (Human Observation, Machine Observation, Occurrence evidence, Observation)",
 "TaxonKey is one of (Leptodactylus albilabris (Günther, 1859))",
 "Country is one of (Algeria, Angola, Benin, Botswana, British Indian Ocean Territory, Burkina Faso, Burundi, Cabo Verde, Cameroon, Central African Republic, Chad, Comoros, Congo, Congo, Democratic Republic of the, Côte d’Ivoire, Djibouti, Egypt, Equatorial Guinea, Eritrea, Eswatini, Ethiopia, French Southern Territories, Gabon, Gambia, Ghana, Guinea, Guinea-Bissau, Kenya, Lesotho, Liberia, Libya, Madagascar, Malawi, Mali, Mauritania, Mauritius, Mayotte, Morocco, Mozambique, Namibia, Niger, Nigeria, Réunion, Rwanda, Saint Helena, Ascension and Tristan da Cunha, Sao Tome and Principe, Senegal, Seychelles, Sierra Leone, Somalia, South Africa, South Sudan, Sudan, Tanzania, United Republic of, Togo, Tunisia, Uganda, Western Sahara, Zambia, Zimbabwe)"
 ]
}

 The dataset includes 0 records from 0 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0112066-250525065834625/datasets/export for details.
DOI: 10.3535/jxb-v3n-1xf
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/z0w-7j9-vy9
title: Amauropelta rudis (Kunze) Pic. Serm.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/2ns-9sz-stx
title: Polystichum woodsioides Christ

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/hdm-6am-m8y
title: Pteris cretica L.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/6ab-7gp-pet
title: Thelypteris Schmidel

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/llr-ce7-z8d
title: Pyrrosia rupestris (R. Br.) Ching

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/qs5-sqr-wtb
title: Thelypteris Schmidel

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/xf8-vfm-6rn
title: Thelypteris Schmidel

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/4w9-ha9-908
title: Selaginella laxifolia Baker ex Krug

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/1zq-vry-qfd
title: Selaginella laxifolia Baker ex Krug

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/480-cjw-nm2
title: Bryodesma dregei (C. Presl) Soják

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/1wg-xyz-f6d
title: Cyathea phalerata Mart.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/6sp-zz2-0gw
title: Cyathea phalerata Mart.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/969-qza-b4p
title: Gymnogynum marginatum (Humb. & Bonpl. ex Willd.) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/1p6-pf7-wc5
title: Radiovittaria stipitata (Kunze) E. H. Crane

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/nqa-xs7-yqx
title: Rumohra adiantiformis (G. Forst.) Ching

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/j45-ekp-ng6
title: Gymnogynum marginatum (Humb. & Bonpl. ex Willd.) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/t70-d6g-1s8
title: Gymnogynum marginatum (Humb. & Bonpl. ex Willd.) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/5nn-7sa-xt7
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/r3l-fh5-30d
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/tgj-plv-133
title: Amauropelta cheilanthoides (Kunze) Á. Löve & D. Löve

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/201-djb-58z
title: Trichomanes elegans Rich.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/92v-fe6-zxd
title: Pteris vittata L.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/apy-be0-1md
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/ecw-119-sjx
title: Polystichum dissimulans Maxon

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/hbc-egb-jet
title: Gymnogynum marginatum (Humb. & Bonpl. ex Willd.) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/msw-kjp-51a
title: Pteris vittata L.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/mxq-bd1-g79
title: Gymnogynum marginatum (Humb. & Bonpl. ex Willd.) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/ycf-lnl-d2b
title: Cyathea phalerata Mart.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/7ff-yd4-zny
title: Selaginella kochii Hieron.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/a4v-px3-hbv
title: Selaginella jungermannioides (Gaudich.) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/pkl-370-m4y
title: Selaginella flagellata Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/az9-q31-avb
title: Selaginella jungermannioides (Gaudich.) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/yjv-2jb-4r4
title: Selaginella flagellata Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/lwl-hbc-2t9
title: Selaginella flagellata Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/eha-edj-bz1
title: Selaginella flagellata Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/x9z-fz6-pnl
title: Polystichum dissimulans Maxon

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/8l9-9va-j4l
title: Gymnogynum eurynotum (A. Braun) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/kbs-38q-rwp
title: Gymnogynum eurynotum (A. Braun) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/pgd-tdl-b7j
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/rzw-p2z-c9s
title: Polypodium vulgare L.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/7bk-7ef-mjh
title: Bryodesma sellowii (Hieron.) Soják

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/fn7-vrj-p1q
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/3wj-d8r-jhr
title: Polystichum orbiculatum (Desv.) J. Rémy & Fée

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/qlb-tre-dbv
title: Polystichum orbiculatum (Desv.) J. Rémy & Fée

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.15468/dl.heu7j7
title: Occurrence Download

description: A dataset containing 0 species occurrences available in GBIF matching the query:
{
 "and" : [
 "HasGeospatialIssue is false",
 "HasCoordinate is true",
 "OccurrenceStatus is Present",
 "BasisOfRecord is one of (Human Observation, Machine Observation, Occurrence evidence, Observation)",
 "TaxonKey is one of (Leptodactylus albilabris (Günther, 1859))",
 "Country is one of (American Samoa, Australia, Christmas Island, Cocos (Keeling) Islands, Cook Islands, Fiji, French Polynesia, Guam, Heard Island and McDonald Islands, Kiribati, Marshall Islands, Micronesia (Federated States of), Nauru, New Caledonia, New Zealand, Niue, Norfolk Island, Northern Mariana Islands, Palau, Papua New Guinea, Pitcairn, Samoa, Solomon Islands, Tokelau, Tonga, Tuvalu, United States Minor Outlying Islands, Vanuatu, Wallis and Futuna)"
 ]
}

 The dataset includes 0 records from 0 constituent datasets; see https://api.gbif.org/v1/occurrence/download/0112067-250525065834625/datasets/export for details.
DOI: 10.3535/8av-hq1-0e4
title: Polystichum orbiculatum (Desv.) J. Rémy & Fée

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/c2a-my2-9np
title: Polystichum orbiculatum (Desv.) J. Rémy & Fée

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/w82-daz-7yh
title: Selaginella microphylla (Kunth) Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/0rx-bb2-3ey
title: Thelypteris palustris Schott

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/q4h-jjn-hdq
title: Selaginella muscosa Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/ptt-xjg-2f1
title: Bryodesma aethiopicum (Bizzarri) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/eja-f19-xee
title: Hovenkampia liebuschii (Hieron.) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/vmz-c14-h3g
title: Trichomanes trollii Bergdolt

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/6f2-9xa-4l7
title: Polypodium vulgare L.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/sc3-f3m-r2z
title: Salvinia natans (L.) All.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/1cb-cxc-bcw
title: Salvinia × molesta D. S. Mitch.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.6084/m9.figshare.29525627
title: FAR-1: A Fast Integer Reduction Algorithm Compared to Collatz and Half-Collatz

description: This research introduces <b>FAR-1 (Faizan Ali Reduction – Version 1)</b>, a novel integer reduction algorithm designed to outperform traditional <b>Collatz</b> and <b>Half-Collatz</b> approaches in step efficiency.The method follows a simple rule:<br>If <b>n % 3 == 0</b> → n = n / 3<br>Else → n = n - 1In benchmarking across integers from <b>1 to 100,000,000</b>, FAR-1 is faster than Half-Collatz in over <b>95% of cases</b> and significantly faster than Collatz on average. The algorithm consistently reduces integers to 1 in fewer steps, with a simpler and more efficient structure.<br><br>This submission includes a detailed research paper, Python source code, CSV results for inputs from 1 to 100 million, and step-count comparison graphs.Key findings:FAR-1 is faster than Half-Collatz in 95.38% of cases.FAR-1 averages 30.91 steps to reach 1.Half-Collatz averages 38.17 steps.Classic Collatz averages 179.23 steps.<br><br><br>This Figshare record includes:The full research paper (PDF)Python scripts for testing and analysisZipped CSV benchmark datasets (split into 4 parts)Visual step comparison plotsAll files and source code are also hosted on GitHub:<br>https://github.com/Faizanali412/FAR-1-Integer-ReductionAlso<br><br>https://doi.org/10.5281/zenodo.15851417
DOI: 10.3535/em8-br7-19n
title: Selaginella muscosa Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/gq9-29y-1ve
title: Selaginella muscosa Spring

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.6084/m9.figshare.29525627.v1
title: FAR-1: A Fast Integer Reduction Algorithm Compared to Collatz and Half-Collatz

description: This research introduces <b>FAR-1 (Faizan Ali Reduction – Version 1)</b>, a novel integer reduction algorithm designed to outperform traditional <b>Collatz</b> and <b>Half-Collatz</b> approaches in step efficiency.The method follows a simple rule:<br>If <b>n % 3 == 0</b> → n = n / 3<br>Else → n = n - 1In benchmarking across integers from <b>1 to 100,000,000</b>, FAR-1 is faster than Half-Collatz in over <b>95% of cases</b> and significantly faster than Collatz on average. The algorithm consistently reduces integers to 1 in fewer steps, with a simpler and more efficient structure.<br><br>This submission includes a detailed research paper, Python source code, CSV results for inputs from 1 to 100 million, and step-count comparison graphs.Key findings:FAR-1 is faster than Half-Collatz in 95.38% of cases.FAR-1 averages 30.91 steps to reach 1.Half-Collatz averages 38.17 steps.Classic Collatz averages 179.23 steps.<br><br><br>This Figshare record includes:The full research paper (PDF)Python scripts for testing and analysisZipped CSV benchmark datasets (split into 4 parts)Visual step comparison plotsAll files and source code are also hosted on GitHub:<br>https://github.com/Faizanali412/FAR-1-Integer-ReductionAlso<br><br>https://doi.org/10.5281/zenodo.15851417
DOI: 10.3535/km5-3bj-yck
title: Selaginella P. Beauv.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/tfd-5ea-y17
title: Bryodesma balansae (A. Braun) Soják

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/qpl-yjs-80s
title: Selliguea enervis (Cav.) Ching

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/yw5-gjy-yr3
title: Selliguea enervis (Cav.) Ching

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/6r8-l1a-x2r
title: Microsorum papuanum (Baker) Parris

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/j59-cpr-0hc
title: Hypopterygiopsis philippina (Spring) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/ffr-agb-ce2
title: Boreoselaginella aitchisonii (Hieron.) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/rgn-90p-57w
title: Boreoselaginella sanguinolenta (L.) Li Bing Zhang & X. M. Zhou

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/60f-88a-wxc
title: Vittaria graminifolia Kaulf.

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.
DOI: 10.3535/ycs-v1v-llq
title: Bryodesma dregei (C. Presl) Soják

description: Digital Specimen for the physical specimen hosted at Botanic Garden and Botanical Museum Berlin.