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The root of this paper, to exist is to actuate, is proved in Appendix R unconditionally, at theorem grade, on no axiom and no posit: a theorem with no hypothesis on its constructed domain, and one clo…

The root of this paper, to exist is to actuate, is proved in Appendix R unconditionally, at theorem grade, on no axiom and no posit: a theorem with no hypothesis on its constructed domain, and one closed law for every root that grounds itself. The closing theorem consumes one reading of that root on this row and nothing else, and every cone of the kernel is empty. The root alone decides no value, by theorem; the root read on the row is the value, by theorem; and the derivation of the value from the record alone is blocked, by theorem, in the Bool model and on the frames. A closed simply connected three-manifold exists, and on this row what exists comes to rest on the seat: the round sphere, the one state its flow never leaves: under the act, a starting state the flow fixes is the round one. This paper closes the Poincaré row on that one reading of existence, with the arrow and the freedom bit beside it, and on nothing else, and it types the historical crossing of the row against the programme's bridge: the crossing's shape as the wider supply of the act, the Perelman witness as its strict sub-shape. Its kernel, in core Lean 4 with no library and no axiom declared, proves eighty theorems, and every one depends on no axiom at all. Existence as given holds in the round world and in a world with one fake sphere alike, and forces no value. Existence read on the row is the value, exactly; from it, supplied by one act, the compiler prints the Poincaré value; nothing escapes the act, rest on the seat is permanent, and one fake sphere refutes it. The bridge carries the row's bit: a carrier halts exactly when the value holds and cannot be manufactured, and under the act every carrier of the value is the act's own. The Perelman witness, read in the kernel as a functional with values in the natural numbers, strictly decreasing off the seat and invariant under rescaling, brings every state to rest, so it supplies the act and yields a halted carrier through it: it is a subtype of the bridge, one supply among those the act admits. It is a strict subset: on every flow whose rescaling is its step and which has a state off the seat no such witness exists, while the kernel's self-similar flow brings every manifold to rest; and a cycle admits no witness either, where the act fails too. The crossing's shape is typed wider: a functional never rising along the step, scale-free, and level off the seat only where the step lands on the seat; it supplies the act, every witness is one, and the self-similar flow carries one and no witness, so the crossing's shape contains the witness strictly. Every dimension of the generalized row, on homotopy spheres, is sealed by its cited theorem, dimension three load-bearing. The row is a theorem of the literature; this paper closes it in its own way, on the act, and places the historical witness inside that closure.

The root of this paper, to exist is to actuate, is proved in Appendix R unconditionally, at theorem grade, on no axiom and no posit: a theorem with no hypothesis on its constructed domain, and one clo…

The root of this paper, to exist is to actuate, is proved in Appendix R unconditionally, at theorem grade, on no axiom and no posit: a theorem with no hypothesis on its constructed domain, and one closed law for every root that grounds itself. The closing theorem consumes one reading of that root on this row and nothing else (goldbach_from_root_on_row), and every cone of the kernel is empty. The root alone decides no value, by theorem; the root read on the row is the value, by theorem; and a record the two worlds share decides nothing, by theorem: no reading of it returns the value on every frame (shared_record_decides_nothing; on the Bool model of the bit, record_wall). An even number exists, and on this row what exists is realized: as a sum of two primes. This paper closes the Goldbach question on that one reading of existence, with the freedom arrow beside it, and on nothing else. Its kernel, in core Lean 4 with no library and no axiom declared, proves one hundred four theorems, and every one depends on no axiom at all: the remainder is read from the definition of $\%$ itself, so the bridge from the remainder test to divisibility and the statements that pass through it carry no axiom. The kernel carries the arithmetic itself. Primality is defined, the trial-division test and the search for a split are proved sound and complete, and the search form of the statement is proved equivalent to the standard form. The mirror $p\mapsto n-p$ is an involution on $[0,n]$ whose one fixed point, $n/2$, is the seat (mirror_involution, mirror_has_one_seat), and splits come in mirror pairs. Existence as given holds in the realized world and the counter world alike, and so forces no value (existence_as_given_forces_nothing). Existence read on the row is the value, exactly, and on the arithmetic frame it is exactly the Goldbach statement; from it, supplied by one act, the compiler prints the statement. Nothing escapes the act, and one even number without a split is a finite certificate refuting it. The proved part is sealed: every even number from 4 to 2000 is decided by the kernel's own computation and is a sum of two primes (executed_region_std); the certified region to $4\times10^{18}$ is carried as a field in the standard form, load-bearing, and does not reach above its height (certificate_is_load_bearing_arith, certificate_does_not_reach_above_arith); the ternary theorem and Chen's theorem are typed, and the shape they share does not entail the binary statement: on an abstract frame both realizations hold everywhere and the binary fails (weaker_do_not_give_binary). The value divides exactly at every height, and no finite record forces it: the arithmetic frame truncated at any height agrees with the arithmetic frame on every even number to that height and fails the value (finite_arith_record_never_forces). The Goldbach sentence is closed on the act, at the grade of the act, and the paper names that grade exactly.

The root of this paper, to exist is to actuate, is proved in Appendix R unconditionally, at theorem grade, on no axiom and no posit: a theorem with no hypothesis on its constructed domain, and one clo…

The root of this paper, to exist is to actuate, is proved in Appendix R unconditionally, at theorem grade, on no axiom and no posit: a theorem with no hypothesis on its constructed domain, and one closed law for every root that grounds itself. The closing theorem consumes one reading of that root on this row and nothing else, and every cone of the kernel is empty. The root alone decides no value, by theorem; the root read on the row is the value, by theorem; and the derivation of the value from the record alone is blocked, by theorem: the record wall on frames. The Yang–Mills question asks for two things at once: that a non-trivial quantum Yang–Mills theory exists for every compact simple gauge group, and that its spectrum above the vacuum stands on a positive floor, the mass gap. This paper closes both on one reading of existence, with the freedom arrow beside it, and on nothing else: every confined gauge field, the Yang–Mills theory of each compact simple gauge group, is constructed and stands on a floor above zero. Its kernel, in core Lean 4 with no library and no axiom declared, proves seventy theorems, and every one depends on no axiom at all. Existence as given, its root proved at theorem grade with no hypothesis on its constructed domain and as the law of every root that grounds itself (Appendix R), universally presupposed and undeniable in deed, carries the form of the closure on every frame, holds in the gapped world, the empty world and the massless world alike, and so forces no value. Existence read on the row is the value, exactly, and from it, supplied by one act, the compiler prints existence and the mass gap together with an empty axiom cone. The value divides exactly into its two parts; construction, the existence of every theory, does not give the gap, and a gap without a theory is empty. Nothing escapes the act: every theory lands on exactly one of four gates, and a missing theory or a theory without a mass floor refutes it. The proved part is sealed on the lattice: the lattice theory exists at every coupling, and the strong-coupling gap is decided, each cited field load-bearing; on the strong-coupling sub-frame of the lattice the lattice value, the value of that frame on its own substrate, is a theorem of the cited fields, and no theorem carries it to the continuum frame; and strong coupling does not reach the continuum: the two fields do not entail a gap above the threshold. On matter, read on the pure-gauge sector, no confined field is gapless, from the confinement record of pure lattice Yang–Mills, carried as a field, that no free colour is registered, and the premise that a massless confined excitation carries colour, both fields load-bearing and graded as what they are; a massless colour-singlet state, which the premise excludes, would refute it. No finite record of refinements forces the value of the staged frame it records, whatever labels of built theories and floors it carries. The continuum sentence is closed on the act, at the grade of the act, and the paper names that grade exactly.

This data set contains thermographic images for the visualisation of watermarks. An IRCAM Equus 327k with Watermark Imager software (Fraunhofer) version 8.416 (R2016b) was used.

OWL ontology that captures both user-centric and technical dimensions of a virtual environment, enabling a structured representation of user interactions and scene content.

Mazkur tezis O‘zbekiston Respublikasida moddiy madaniy meros  obyektlarini muhofaza qilish tizimida Madaniy meros agentligining institutsional va  huquqiy o‘rnini tahlil qilishga…

Mazkur tezis O‘zbekiston Respublikasida moddiy madaniy meros  obyektlarini muhofaza qilish tizimida Madaniy meros agentligining institutsional va  huquqiy o‘rnini tahlil qilishga bag‘ishlangan. Tadqiqotda moddiy madaniy meros  obyektlarini aniqlash, davlat hisobiga olish, davlat reyestri va kadastrini yuritish,  muhofaza tegralarini belgilash, tarixiy-madaniy ekspertiza, ilmiy-texnik nazorat,  konservatsiya, restavratsiya hamda ulardan oqilona foydalanish kabi yo‘nalishlar tahlil  qilinadi. 

Introduction. Modern fertilizers effectively replenish nutrient deficiencies in the soil, reduce environmental impact, and ensure food security for the planet's growing population. The aim o…

Introduction. Modern fertilizers effectively replenish nutrient deficiencies in the soil, reduce environmental impact, and ensure food security for the planet's growing population. The aim of this study is to develop a method for producing slow-release fertilizers and to evaluate their effectiveness in the field. Materials and Methods. Laboratory experiments were carried out to develop a novel slow-release fertilizer encapsulated in a polymer matrix made of cellulose ether. Key performance metrics of the resultant cellulose-containing fertilizers were evaluated, focusing particularly on the content of diverse nitrogen forms at intervals of 7, 14, 21, and 28 days post-soil application. Furthermore, microbial cellulolytic activity was assessed 21 days following fertilizer application. Results. In the course of this research, a methodology for synthesizing a novel type of slow-release cellulose-containing fertilizer intended for agricultural applications was developed. Field trials confirmed the effectiveness of the resulting materials. Moreover, optimal component ratios were established to maximize the performance of the newly formulated fertilizers – by the final day of the experiment, the cellulose-containing fertilizer N8P36 demonstrated maximum nitrate (NO3–) retention – 7.6 mg/kg, indicating a more uniform and balanced conversion of nitrogen compounds when applying the average amount of nitrogen in the cellulose-containing fertilizer compared to the control. Microbiota analysis indicates that the synthesized fertilizers at dosages of N8P36 and N4P18 achieve maximum bacterial colonization relative to the control. Conclusion. The proposed technology holds promise for contemporary crop cultivation methods. The developed materials will be able to ensure sustained nutrient delivery into the soil, minimizing nitrogen and phosphorus loss, optimizing plant absorption, and ultimately enhancing agricultural efficiency. Given the experimental outcomes, it becomes evident that the developed technology shows substantial potential for generating eco-friendly and cost-effective fertilizers characterized by controlled nutrient release profiles. Future investigations will concentrate on refining the matrix formulation and augmenting fertilizer stability across varied soil compositions and climates.

Digital transformation has significantly reshaped consumer behaviour and created new opportunities for promoting sustainable consumption. This study examines the relationship between Online Shopping D…

Digital transformation has significantly reshaped consumer behaviour and created new opportunities for promoting sustainable consumption. This study examines the relationship between Online Shopping Digitalisation (OSD), Green Technology Adoption (GTA), and Sustainable Consumption (SC) among online consumers. The study aims to assess the relationships among these constructs and examine the potential mediating role of GTA in the relationship between OSD and SC. A quantitative, cross-sectional research design was adopted, and primary data were collected from 220 online consumers using a structured questionnaire and five-point Likert scale. Data were analysed using SPSS through descriptive statistics, correlation, and regression analysis, while PLS-SEM is proposed for further assessment of the measurement and structural models. The findings indicate significant positive relationships between OSD and GTA (β = .261, p < .001), OSD and SC (β = .299, p < .001), and GTA and SC (β = .465, p < .001). The study highlights the importance of integrating digitalisation and green technology to promote sustainable consumption.

This study examines why governance arrangements do not always translate into timely decisions and development results in the World Bank-financed public investment operations. Using comparative qualita…

This study examines why governance arrangements do not always translate into timely decisions and development results in the World Bank-financed public investment operations. Using comparative qualitative case analysis, documentary analysis, and process tracing, it investigates two Investment Project Financing operations and one Program-for-Results operation in Uzbekistan; five additional operations provide triangulation. The unit of analysis is the management process rather than the project. Evidence identifies an agreement-to-implementation gap: legal agreements, appraisal documents, operational manuals, and national acts establish legitimate requirements, yet their combination can create duplicated controls, responsibility without decision rights, fragmented data ownership, and delayed escalation. IPF and PforR require different management architectures. IPF depends on integration across scope, procurement, contracts, expenditure, and outputs, whereas PforR depends on a result-delivery chain linking program ownership, administrative data, evidence, and independent verification. The article proposes a differentiated Institutional Risk Governance Framework comprising an alignment gate, decision-rights mapping, a control-value test, interface-risk management, an Individual Comments Map, and a Process and Risk Ledger. The contribution lies not in inventing these generic tools, but in integrating them around documented institutionalization gaps in World Bank operations in Uzbekistan. The framework is a design proposition requiring prospective pilot validation.

This zenodo record contains data accompanying the paper "Canopy temperatures in computationally expensive crop models: a resource-efficient emulator approach applied in LPJmL (version 5.9.18)" submitt…

This zenodo record contains data accompanying the paper "Canopy temperatures in computationally expensive crop models: a resource-efficient emulator approach applied in LPJmL (version 5.9.18)" submitted to GMD (Hemmen et al., 2025). The data are used in this study, in which an emulator approach is developed to simulate canopy temperatures in global crop models. For the derivation of the emulators, as well as for the usage of the emulators themselves, maximum crop heights are needed. Mean maximum plant heights of Brassica, Maize, Millet, Pea, Rice, Soybean, Sugarbeet, Sunflower, and Wheat were computed from plant height values provided by the GRIN-Global database. All data listed here was downloaded from the USDA National Plant Germplasm System (National Plant Germplasm System, United States Department of Agriculture - Agricultural Research Service: GRIN-Global, https://npgsweb.ars-grin.gov/gringlobal/search, 2025, last accessed March 2026; Byrne, P. F., Volk, G. M., Gardner, C., Gore, M. A., Simon, P. W., & Smith, S.: Sustaining the future of plant breeding: The critical role of the USDA‐ARS National Plant Germplasm System, Crop Science, 58(2), 451-468, https://doi.org/10.2135/cropsci2017.05.0303, 2018).  The column names and units of the values in the respective files used in the study are as follows: Brassica: PLANT HEIGHT [cm] Maize: PLANT HEIGHT [cm] Millet: PLANT HEIGHT [dm] Pea: PLANT HEIGHT, FINAL [cm] Rice: observation_value; 1 ≙ 80-89 cm, 2 ≙ 90-99 cm, 3 ≙ 100-109 cm, 4 ≙ 110-119 cm, 5 ≙ 120-129 cm, 6 ≙ 130-139 cm, 7≙ 140-149 cm, 8 ≙ 150-159 cm, 9 ≙ 160 cm or more Soybean: HEIGHT [cm] Sugarbeet: HEIGHT MAXIMUM [cm] Sunflower: MAXIMUM PLANT HEIGHT [cm] Wheat: VALUE [cm]   The dataset provided in this zenodo record is released for use under the CC-BY licence. A summary of the licence is provided under https://creativecommons.org/licenses/by/4.0/. The full legal code is provided under https://creativecommons.org/licenses/by/4.0/legalcode.