Our Work

Inter-turn short circuit (ITSC) issues are a common electrical failure mainly caused by the deterioration of winding insulation in the machine over time. Failing to detect such issues early can lead t…

Inter-turn short circuit (ITSC) issues are a common electrical failure mainly caused by the deterioration of winding insulation in the machine over time. Failing to detect such issues early can lead to catastrophic consequences. This article investigates the interturn fault in the stator winding of a doubly- fed induction generator (DFIG) used in wind turbines. A flux linkage difference vector (FLDV) model is introduced in this study for fault detection. Additionally, an artificial neural network (ANN) model is proposed to classify these faults. Specifically, a short-circuit fault is induced in each phase of the stator winding, and the faults are classified by assigning different magnitudes to the respective phases. The ANN is trained to identify which phase contains an interturn fault, with output waveform amplitudes of 1, 2, or 3 corresponding to faults in phases "a," "b," and "c." If no fault is present, the waveform magnitude is designated as "0." This approach enables early fault diagnosis by analyzing waveform patterns, thereby preventing overheating caused by short circuits and avoiding severe, irreversible damage to the windings.

Using stored information may help a strategy spread without improving every population-performance endpoint. We distinguish these outcomes in an abstract 32-individual, 32-bit population model with pr…

Using stored information may help a strategy spread without improving every population-performance endpoint. We distinguish these outcomes in an abstract 32-individual, 32-bit population model with private one-record memory, inherited strategy labels and an equal objective-evaluation budget. A historical probe and a fresh random probe occupy the same candidate slot. Their separate-introduction ranking reverses between alternating recurrent and independent targets, and an independent cohort reproduces both directions. Intermittent recurrence preserves a historical transmission advantage under two survival rules; direct competition and resident-policy preparation extend the comparison. A crossed experiment then holds prepared populations fixed while changing their future target law. After partial-recurrence preparation, future partial recurrence increases the matched historical-use founder effect by 22.76 percentage points relative to renewed targets (approximate pointwise 95% block-bootstrap interval, 17.12 to 28.95). A prospectively specified, independently generated cohort reproduces that direction, with 16.20 points (11.23 to 21.02), and also supports the corresponding contrast after renewed-target preparation. Cohorts are not pooled. A prospectively fixed challenge using new paired inputs retains a positive future-recurrence contribution under one four-bit-trap objective: 23.74 points (17.26 to 30.23), exceeding a separate one-expected-descendant benchmark. The direct trap-minus-Hamming difference remains unresolved; individual introductions still usually disappear. Preparation interactions remain partly unresolved. In the new partial-recurrence cohort, switching from historical to fresh use lowers the matched founder effect by 2.74 points while improving terminal population accuracy by 0.32 points; every introduced fresh-use founder nevertheless disappears in that sample. Fixed-cost introductions in earlier non-retrieving backgrounds often decline. Exact local calculations show why candidate-pair geometry does not determine global selection. A one-update fresh-exploration pulse leaves terminal population accuracy unresolved despite increasing founder representation relative to continuous fresh expression. A fixed bounded-error transfer challenge retains a positive founder recurrence effect while leaving its noisy-versus-exact change unresolved; noise lowers average population accuracy. A separate 256-state mathematical model with continuing symmetric policy switching shows a small, numerically certified recurrence increase in stationary H frequency (0.458 percentage points), with opposite active-versus-neutral accuracy effects under renewed and recurrent targets. The finite-population findings characterize conditional transmission of an available memory-use policy. They do not establish memory's spontaneous origin, equilibrium invasion, a general costly advantage, or measured biological effects. Research preprint version 1.5.0; not externally peer reviewed. Includes studies 045-060 with 15,284 statistical estimates, and a separate study 061 with 14 certified mathematical quantities; 18 figures. The new two-individual/one-bit supplied-memory model has ongoing symmetric policy switching and a small +0.458222476-point recurrence effect on stationary H frequency. Active-minus-neutral accuracy is adverse under ZERO (-0.259357994 points) and positive under HALF (+0.702715312 points). Numerical enclosures are not statistical confidence intervals, empirical replication, or stationarity evidence for the 32-individual model. The unresolved 059 population-accuracy primary and 060 noise interaction, frequent founder loss and adverse outcomes remain. The compact release excludes raw candidate trajectories and random tapes. Manuscript/data: CC BY 4.0; original code: MIT. AI assistance is disclosed. Versioned GitHub release: https://github.com/jackchenx3/private-memory-recurrence/releases/tag/v1.5.0 Previous version remains available: https://doi.org/10.5281/zenodo.22949032

Artículo publicado en la revista Lupa Empresarial (CEIPA Business School), N.° 20 (2019), p. 8. ISSN: 1900-2459. DOI: 10.16967/01232061.727. El texto ofrece un análisis crític…

Artículo publicado en la revista Lupa Empresarial (CEIPA Business School), N.° 20 (2019), p. 8. ISSN: 1900-2459. DOI: 10.16967/01232061.727. El texto ofrece un análisis crítico de la obra de Schumpeter Capitalismo, socialismo y democracia, contrastada con la teoría de las clases sociales de Marx, para construir una perspectiva del capitalismo y el socialismo en el siglo XXI. Mediante la teoría del horizonte de expectativas de Jauss (1967), se interpreta la época de Schumpeter y Marx como una síntesis de comportamientos, conocimientos e ideas preconcebidas que contextualizan la valoración de la obra frente a la realidad posmoderna.

Ushbu tezisda Xitoy Xalq Respublikasi sanoatining zamonaviy transformatsiyasi hamda O'zbekiston sanoat iqtisodiyotining joriy holati va rivojlanish istiqbollari qiyosiy tahlil qilingan.

The readiness of preschool teachers to ensure children’s digital safety (DS) is currently one of the overarching challenges for early childhood education (ECE) systems. Unfortunately, developing…

The readiness of preschool teachers to ensure children’s digital safety (DS) is currently one of the overarching challenges for early childhood education (ECE) systems. Unfortunately, developing countries, particularly Kazakhstan, do not necessarily possess the required resources to run preschool educational programs to ensure children’s DS. This study explores pre-service early childhood educators’ (PSECEs) cognitive, affective, and behavioral attitudes toward supporting DS of preschool children. It also considered PSECEs perceptions of their role and responsibility in supporting preschool children’s DS and their readiness to address these issues in their future professional practice. The research adopted a cross-sectional mixed-methods design without instructional intervention. The study was carried out at the Abai Kazakh National Pedagogical University in Almaty, Kazakhstan, with 344 participants in the experiment. The findings highlight the interrelated nature of cognitive, affective, and behavioral components of study participants’ attitudes. Study participants had strong affective engagement. However, the results revealed a noticeable imbalance between emotional concern and practical readiness. This research highlighted that DS content in preschool teacher education programs has not kept up to date with global digital advances. Consequently, there is a need to adopt coherent content of practice-oriented approaches to DS in preschool teacher education programs. This paper further extends the body of theory on PSECEs attitudes toward supporting DS of preschool children and provides new insights into the educator candidates’ cognitive, affective, and behavioral attitudes.

Assessment plays a foundational role in modern education, serving not merely as an instrument for grading, but as a critical diagnostic driver of the learning process. Traditional evaluation methodolo…

Assessment plays a foundational role in modern education, serving not merely as an instrument for grading, but as a critical diagnostic driver of the learning process. Traditional evaluation methodologies, typically characterized by static "one-size-fits-all" tests, fail to accommodate the diverse cognitive paces, prior knowledge, and individual competencies of learners. This paper investigates the convergence of Artificial Intelligence (AI) and psychometrics in adaptive assessment. We explore algorithmic foundations, including Item Response Theory (IRT), Bayesian Knowledge Tracing (BKT), and Deep Knowledge Tracing (DKT), and demonstrate how integrating Machine Learning and Natural Language Processing (NLP) enhances testing precision, reduces test length, and provides granular diagnostic feedback. 

Annotatsiya. Ushbu tezisda o‘zbek folkloridagi agiografik obrazlarning shakllanishi va poetik xususiyatlari yoritiladi. Avliyo, pir va tarixiy-diniy shaxslar bilan bog‘liq folklor namunala…

Annotatsiya. Ushbu tezisda o‘zbek folkloridagi agiografik obrazlarning shakllanishi va poetik xususiyatlari yoritiladi. Avliyo, pir va tarixiy-diniy shaxslar bilan bog‘liq folklor namunalari asosida agiografik obrazlarning shakllanishida tarixiylik, xalqona badiiy talqin, karomat va mo‘jiza motivlarining o‘rni tahlil qilinadi. Shuningdek, mazkur obrazlarda xalqning diniy-e’tiqodiy, axloqiy-estetik qarashlari hamda ideal inson haqidagi tasavvurlarining badiiy ifodasi ochib beriladi.

One cumulative programme, one canonical DOI. This edition reunites the original collection and all material previously issued in a separate continuation. The permanent project DOI is 10.5281/zenodo.22…

One cumulative programme, one canonical DOI. This edition reunites the original collection and all material previously issued in a separate continuation. The permanent project DOI is 10.5281/zenodo.22678085. All earlier mathematical files, complete LaTeX, human citations and source archives are retained. Selected main papers remain separately readable; the full set of 98 original PDFs is also preserved in one ZIP. This is a publication consolidation, not a new proof or a change to the mathematical scope. Split-Zero cohomology and the zeta-function research programme is a cumulative collection of mathematical papers, complete LaTeX proofs, formalization sources, calculations and literature-based research notes. Its central question is how the zeros of the Riemann zeta function can be studied through explicitly constructed arithmetic cohomology, spectral actions and quantitative metric estimates. The collection also retains the related heat-flow, arithmetic-trace, fluid, complexity and thermal-geometry investigations from which parts of this programme developed. Project and reading guide · Research contents · Machine-readable workbench index. Papers remain separate readable PDFs; the source archives supply the corresponding editable mathematics and supporting materials. What the collection contains Split-Zero coefficients, geometry and cohomology. The construction retains a ring's internal zero and a separate symbol for absence, so a zero element in a specified support fibre is not confused with an absent fibre. The papers construct coefficient maps, quotients, homology, finite spectral jets and their relation to the infinite theta quotient. Deligne's Weil II provides a motivating source for the cohomology–duality–weight-control programme. Its direct-image theorem 3.3.1 is stated for schemes of finite type over the integers; its image-purity corollary 3.3.6 is over a finite field. Neither is asserted to apply automatically to the Riemann zeta function: the actual coefficient objects and their comparison maps must be constructed. Read the cohomology and weight-control paper and the foundational objects and maps. Full-prime cohomology and complete support. The 75-page full-prime paper develops relative principal parts, the actual degree-p operator and a local complex weight-one identity from the full arithmetic prime space. The complete-support paper recovers mixed information lost by separate branches. The mixed-Weil paper applies the actual prime operator, includes the full Archimedean contribution and proves positivity for its specified three-pulse family, while computing a distinct negative signed joint trace and the original companion object's nonzero distributional boundary. These results do not establish global interior-cohomology purity or decide RH. Full-lattice geometry, graph observations, heat and residue duality. The 208-page reconstruction carries full support through prime cohomology, finite jets, exact graph metrics and prime-pulse observations with their complete costs. The 103-page Connes–Consani component develops labelled arithmetic sites, tropical spectra, sheaf, divisor, twistor and tensor maps. The 40-page heat-endpoint paper calculates the original support and heat maps, cluster-energy expansions and holonomy receivers. The 157-page supported-zero and residue collection retains its earlier prime, heat and class-field calculations and adds the intrinsic supported-zero identity and exact Jacobian map from residue duality to Weil trace and cotangent cohomology. Complete proof sources retain all nilpotent and endpoint terms; exploratory companion calculations carry their own review status. These papers do not claim an RH decision. Integral collision prisms, extension classes and original heat holonomy. The 177-page supported-zero and residue collection retains its preceding21 proofs and adds the complete integral extension group with both connecting maps, the bounded collision prism with its divisor quotient, and every supported prime pullback. The separate 60-page heat-collision and holonomy paper retains the40-page endpoint argument and calculates the full conductor, cotangent linking form, complete-unit connection, monodromy, reflected-trace defect, arithmetic commutator and joint two-prime fixed-support action. The original units, coefficients, nilpotents and support labels remain. Neither addition claims an RH decision. Integral heat monodromy and supported trace responses. The 15-page supplement proves regular monodromy on the original integral heat-collision algebra at every actual multiplicity, evaluates the first and next trace responses of every coefficient layer, and carries the connection residue and parity projections through the complete support lattice. Its eight-state application retains the length-four collision algebra and calculates the exact multiplication defect and prime-spectrum map. The endpoint trace and remaining global arithmetic sign question are not replaced by these time-response calculations. Original heat-Cauchy arithmetic, reflection index and fixed tests. The 210-page supported-zero, prime, heat and residue collection retains its preceding 24 proofs and adds six complete derivations: the actual zero-distribution heat response, all Cauchy/Gamma/prime and endpoint terms, the full mixed-prime derivative recurrence, the Cauchy–Weil matrix criterion, the exact reflection index of the actual zero pairing, and the finite-jet/exterior decomposition with higher heat coefficients. The index counts actual exchanged zero pairs without asserting that any exist. The complete positive-matrix condition is equivalent to RH; positivity of that entire family is not established. The separate five-page fixed arithmetic test paper computes the first and next heat-trace coefficients, the original Cauchy frame and its inverse, and every endpoint jet of fixed vanishing tests. All original multiplicities and support coordinates remain. Boundary contact, residue data and arithmetic trace. The 16-page paper computes the full analytic-unit contact equation for the supported reciprocal and its exact map into the original arithmetic trace derivative. It identifies the sharp residue orders needed by fixed-test and determinant corrections, retaining the original time and all higher test jets. Complete theta integrals with directed intervals and explicit quadrature and tail bounds reproduce the supplied nineteen-coefficient rational witness: negative at heat time −2, positive at time 0. This is not a time-zero negative witness or a certification of the companion manuscript's separate 32-dimensional inertia. The full supplied sources, complete proofs, human citations and corrected retained LaTeX accompany the paper. Primitive tests and prime-window arithmetic. The 235-page supported-zero, prime, heat and residue reader retains 34 complete derivations. Its new calculations give the von Mangoldt operator from divisibility projections with both support corrections, the explicit 55/192 short-support bound, a fixed primitive test detecting every possible off-critical zero, and the exact prime-window formula with a positive Archimedean remainder. The uniform bound equivalent to RH is not proved. The classical bump and its product zero multiplicities are credited beside the construction to Arias de Reyna, with the full coordinate comparison. All complete LaTeX, proof texts, citations and supplementary sources are retained. Original zeta and faithful theta-source return. The eight-page correction works from the integer-dilation operator whose Mellin multiplier is the original zeta function. It proves the Gaussian theta return with both endpoint moments, calculates two boundary coordinates per prime and a faithful augmented receiver, and retains all exceptional local jets, heat drift and potential terms, and original metric factors. The original seminorm still has the calculated prime-boundary kernel. This is a completed correction of the stated comparisons, not a claim that every preceding estimate has been reconstructed or that RH has been decided. Full original-zeta receiving calculations and faithful integer heat observations. The 336-page, 47-proof collection retains its complete supported-zero, prime, heat, residue, integral, geometric and spectral calculations and reconstructs their theta, meromorphic heat, compact-Weil and signed-Cauchy receiving maps from the original zeta function. Its Gamma factors, endpoint terms, trivial zeros, pole, local jets and support labels remain explicit. The raw signed and compensated pairings retain their exact correction; RH remains unresolved. A separate seven-page sampling addendum proves an explicit integer-sample inverse for the original Gaussian source, transports the supported-zero mass and every label, and proves the precise information lost by circle periodization and the instability of half-integer sampling. Arithmetic theta sources and analytic control. The central analytic complex is [V → B], with theta map Θ and quotient B/ΘV. Scaling acts by D = −x∂x. The underlying integer-dilation operator has Mellin multiplier ζ(s). The chosen differential Gaussian theta source has the full multiplier s(s−1)π^(−s/2)Γ(s/2)ζ(s), written 2ξ(s) in earlier editions. The current source reconstruction retains every factor, both endpoint moments and the exceptional local modules; older proofs retain their original scopes until their dependent estimates have been reconstructed. The papers carry finite zero packets, including multiplicities, through the original source maps and least-norm quotient metrics. They develop source recovery, residue and period maps, tensor and exterior constructions, Mellin and Gamma estimates, orthogonal-polynomial kernels, Hankel–Toda determinant identities, boundary terms, and growing-degree volume and covariance calculations. The cumulative Split-Zero reader, its proof companion, and the separate kernel, conductor and source-transport papers retain the complete arguments. Conductor geometry and spectral observation. Further papers calculate the original relation and conductor maps, kernels, quotient volumes, real-period resonances, inverse spectra and finite observation bounds. The native spectral paper, real-period paper, resonance-direction paper and inverse-power observation paper have distinct, explicit scopes. The local-branch paper constructs the coupled spectral module; the covariance paper calculates the arithmetic-kernel return; and the activation and current paper evaluates source activation and exact projected-current formulas. The original-observation paper evaluates fixed-coefficient inverse-power subquotient determinants, measured heat and conductor-detected eigenlines in the original metric. The actual-Xi and uniform inverse-rate paper calculates the Xi-jet pullback, a local arithmetic interval certificate and the two original geometric inverse rates. Geometric examples are not represented as identified arithmetic zeta-zero packets. The current, source-overlap and collision paper calculates the sharp joint phase region, measured-mass interval and actual source-step receiver, and bounds the full arithmetic collision resolvent and determinant on its exterior frequency region. The actual terminal phase, marked sign and interior contribution remain unevaluated. The real word currents and source-step paper proves constant polynomial-current inertia throughout actual adjacent-source additions, observed sign dimensions and the complete signed-product formula, and calculates the prescribed current from endpoint traces and weighted collision data. Its original terminal imaginary pairing remains unevaluated; the preceding response-coefficient correction remains active. The support-transport paper calculates both measured support directions, ordered mixed-current recovery, observed collision, metric-stable source steps and controlled evolution. It explicitly corrects the response-coefficient identification in edition 027 while preserving its sealed files. The terminal-response paper evaluates the two original boundary-denominator amplification rates separately, controls the phased current-sign amplitudes of the observed terminal class and bounds its diagonal current correction, while retaining the unresolved imaginary cross-coordinate on the exact conductor domain. The current and effective-cutoff paper connects the original kernel and current profiles, evaluates opposite current signs on the actual observed plane and the intrinsic evolution asymmetry, and imports the established conductor norm comparison to bound the separately marked terminal current while retaining its unresolved residual sign. The complete-cutoff profile paper evaluates the original kernel spectrum and volume throughout the source window, carries that profile through actual increments and complete fixed subquotients, and calculates arbitrary-cutoff measured phase and sharper original heat estimates with the full angle defect. The kernel-coefficient and measured-frequency paper evaluates the original four-cutoff kernel determinant on the retained fixed-period simple-quartet domain, identifies its elliptic constant, and controls the complete measured determinant and phase while preserving the unfinished status of individual arithmetic-current signs. The arithmetic-probe and kernel-mass paper decomposes the original kernel determinant into positive observation layers, sharpens the interval obtained from the same mass samples, and calculates the terminal correction between hidden-coordinate and full-ambient minima while retaining canonical projective sections and complete currents. The original-observation recovery paper proves the zero-frequency kernel-angle spectral map, sharp scalar information loss and leading-coefficient recovery, with a bounded-power remainder estimate and original pole and current formulas. The original-growth and resolvent paper controls complete-row sampling and root errors, reconstructs the full complex kernel correction from the measured action, bounds complete-source metric errors and complementary growth, and evaluates the separate four-label receiver through its first singular corrections. The original-angle and full-word paper controls every original projection direction, bounds directed spectral movement over the complete cutoff window, identifies phased source innovations and extracts the determinant using actual source columns. The invariant-determinant and collision paper evaluates an actual conductor word image, retains the collision graph metric, calculates the complete finite invariant determinant and splits positive cutoff losses into source, observed and kernel energies. The moving rational-family paper controls the original kernel energy throughout activation, evaluates late observed memory, and carries moving rational filters and arithmetic collisions through complete primary sectors and corrected chain maps. The canonical memory and polynomial-filter paper controls the complete memory including zero regularizers, evaluates original energy changes, and retains colliding filters, repeated-pole observation masses and the slow energy-graph spectrum. The critical inverse-activation paper evaluates the critical inverse-power sector, keeps every singular direction in the original observed arithmetic action, and transfers these bounds to the original kernel and complementary determinants at their stated source status. The source-family and observed-heat paper controls the actual two-column update, changing positive source weights, rational detection and the complete observed-memory contribution. The inverse-sector quotient paper gives exact quotient and shifted-source maps, bounds the original covariance-angle change and carries heat and current formulas through that reduction. Formalization and reproducible calculation. The Lean sources and formalization notes cover specified algebraic, quotient and homological interfaces. Source packages retain exact finite checkers, numerical or interval calculations where supplied, figures, manifests and verification records. A Lean check of an interface, a finite algebra test and an analytic proof are documented as different forms of evidence; none silently certifies the others. The wider zeta literature and connected investigations. The separate zeta reader, fluid/Navier–Stokes reader, de Bruijn–Newman heat-flow reader, Connes/arithmetic-trace reader, geometric-complexity reader and vacuum and thermal-geometry reader preserve the earlier research routes and their stated limitations. Related Unified Flow calculations concern specified black-hole, thermal, spectral-zeta and geometric-flow probes. The CUE research map connects existing random-unitary-matrix, Mellin and finite-phase-space work. An analogy or proposed connection is not presented as an established implication between major conjectures. How to read and assess the work This is an ongoing research programme, not a claimed proof or disproof of RH or the other major conjectures discussed in the connected notes. The remaining arithmetic estimates and identifications are stated in the individual papers. Original coordinates, masses, multiplicities, signs, relation spaces and metric factors are retained. Earlier editions remain available because later arguments depend on their complete constructions; an older paper's use of "current" refers to its own edition. Human authorship and mathematical provenance are part of the work, not optional packaging. The papers and source ledgers identify primary human sources, precise versions and theorem or formula locations, including Deligne, the named authors of NIST DLMF chapters, Akemann–Vernizzi and Johansson where their results are used. Programme citations link to the actual public proofs; a public reconstruction is identified as such and is not presented as the original private correspondence. Per-file rights and existing attribution remain in force. Papers incorporated from the former continuationFull-support cohomology and graph/prime-pulse reconstruction (208 pages); complete LaTeX.Original-zeta sectorial return, augmented inverse and full arithmetic boundary (385 pages); complete LaTeX.Original zeta, full support and arithmetic trace (37 pages); complete LaTeX.Localized adelic coefficients on the full support base (21 pages); complete LaTeX.Original endpoint resonance, heat range and prime class (10 pages); complete LaTeX.Original zeta, adelic correspondences and full Hurwitz boundary (34 pages); complete LaTeX.An evaluated arithmetic pairing for the original endpoint test (7 pages); complete LaTeX.The 385-page collection retains 52 complete main proofs and gives ten full original-zeta receiving calculations. The separate 34-page reader corrects the scalar theta-origin, transported product and unit, and embedded-fibre account, then constructs the actual adelic and full-character maps. The 37-,21- and10-page papers retain their distinct proofs and scopes. The seven-page pairing successor evaluates the formerly open scalar at t=1/32: 50<K<64, with the complete original theta residual, all prime powers and full Gamma contribution. The same test retains two negative linear boundary moments. This is a result for that specified test, not whole-space positivity or an RH decision.The complete source archive includes every programme LaTeX source and dependency for these PDFs, the separate source-only coefficient correction, figures, checkers, owner verification scopes, pinned proof links and the exact 355-page predecessor. The machine-readable proof index supplies clickable external source locations. Human authorship and source-use ledgers are retained; protected primary archives are linked to their original hosts. Publication adopts the recorded owner reviews at their stated scopes and is not a new independent proof audit of all pages.Source recovery and mixed-boundary continuationThe 24-page original-zeta, faithful source-recovery and mixed-boundary paper computes the actual radial adelic source, every prime-boundary coordinate, a faithful joint inverse, higher Koszul connecting classes and both endpoint characters. For finite rational mixed profiles it gives an exact finite test of the entire boundary, with an actual adelic antecedent, compact characters and all initial-term/support corrections retained. These statements do not assert positivity for every Weil test or decide RH.Complete LaTeX; complete source addition; preceding pinned proof index. All nine previous continuation files remain unchanged and separately downloadable; the preceding edition has eight separate papers, including the cohomology preview. Both complete source archives are retained. The original base collection and all its files remain unchanged. The correction to the new reader concerns only the statement that human primary works are linked at their original hosts rather than included as archives; its mathematical proof bodies are unchanged.Original-zeta detection and supported-zero source-plane cohomologyThe 403-page collection retains 54 full proofs. Its resonant cosine test detects every original nontrivial zero at the fixed time 1/32. The paired-source calculation gives exact transport, a full arithmetic Weil matrix and a global translation criterion; the bound required by that criterion is not proved. The original small-time factor is retained even where all its time derivatives vanish at zero. The earlier 385-page edition remains an unchanged separate download.The 16-page source-plane paper evaluates the original cosine/sine Weil form, proves its arithmetic prime-boundary map, and computes supported-zero multiplication in that original metric. Its square-zero metric defect has a calculated vanishing time, local cohomology and full integer-prime module support. Coefficient heat time and theta time remain distinct. A general-ring proof sentence is corrected by the meet-prime label argument; no theorem, metric or numerical certificate is changed. These are finite-source and exact-map results, not universal positivity or an RH decision.403-page collection: complete LaTeX.16-page source-plane paper: complete LaTeX.Complete source addition and preceding pinned proof index. The preceding edition retained all twelve earlier downloads and added four files, giving ten separate PDFs and three complete source archives; all sixteen remain in this edition. The cohomology preview, stable whole-project identity, human provenance, source rights and original base collection are unchanged. Mathematical-owner review and publisher source/byte checks keep their recorded scopes.All-prime tensor boundary weightsThe eight-page boundary-weight paper calculates all tensor coinvariants and every rational group-homology degree of the original arithmetic boundary. It retains the actual idele action, evaluation and integral factors, both sign projectors and the full support lattice. It exhibits a nonzero mixed tensor class erased by the two-endpoint tensor quotient and gives the exact connecting map into the original Schwartz-kernel homology. This supplies a boundary term for the continuing weight construction, not an interior purity theorem or an RH decision.Complete LaTeX; complete source addition; current pinned proof index. Result SZ-20260923-153 retains full proofs BW1–24 and independent TB1–29, citations to Deligne and Connes, complete diagram sources and 187 exact finite checks rerun from the package. Every final PDF page was inspected. All 16 previous downloads remain unchanged: this edition has 11 separate PDFs, 4 complete source ZIPs and 4 proof-index files. The 208-page cohomology preview, stable project title, creator credit, rights and base collection are preserved. Geometric weight control, positive quotients and original-character lifting This continuation integrates three collaborating strands of the Split-Zero cohomology and zeta-function research programme. It retains the programme's original support construction, theta and Mellin sources, arithmetic cohomology, spectral actions and exact comparison maps, alongside the preceding analytic estimates, formalized interfaces, connected investigations and research self-audit preserved in this collection and its linked base collection. Three separately readable cumulative readers accompany the complete editable source archive and a machine-readable result/dependency index. The geometric reader reconstructs Deligne's weight argument and develops the actual coefficient sheaf, nearby-cycle, Gysin, continuous-dual and geometric-cover maps. Its 63 source parts include the full adjoint-defect invariant-cycle comparison. The positive-quotient reader identifies the defect removed by positive compression, retains the complementary original Weil contribution and higher jets, and constructs the exact strong-dual Gysin receiver. It also classifies the jointly continuous positive Hermitian forms satisfying the original integer-transfer relation, calculates their common completion and proves that all such forms on the complementary specialization obstruction vanish without inferring that this obstruction itself vanishes. The original-character reader gives Mellin-character lifts, restriction extensions, residue pushouts and supported comparison triangles with the full Gamma germ and endpoint data retained. The papers distinguish proved internal calculations from their unproved application to arithmetic purity. In particular, vanishing of a quotient constructed to remove a defect does not establish vanishing of that defect in the original source. This edition claims neither a proof nor a disproof of the Riemann hypothesis or a new P-versus-NP implication. The human investigator supplied the originating construction, mathematical agenda and corrections; collaborating AI tasks developed and checked the recorded calculations. Human mathematical sources, including Deligne, Connes–Consani, Meyer and the classical analytic and functional-analytic inputs, receive explicit citations and source locators. The source archive includes the programme's LaTeX, Markdown, figures, reproducible figure scripts, proof index and exact review/build record. It excludes private transcripts and human-author archives for which redistribution permission has not been established. Earlier downloadable papers and sources remain unchanged, and the full-support cohomology paper remains the reader preview. Complete matching GitHub source edition · 020-geometric-weight-control-complete.pdf · 021-positive-quotient-and-gysin-complete.pdf · 022-original-character-lifting-complete.pdf · 023-cohomology-weight-and-character-complete-sources.zip · 024-cohomology-result-and-dependency-index.json Point-of-use human-source correction in the analytic cumulative papers The FRG2 Gamma-polynomial calculation now credits the classical Meixner–Pollaczek family at the formula's actual use, with the authored NIST DLMF chapter and its exact parameter dictionary. This corrects an omission: the source bibliography and HPS comparison were already present, but the local FRG2 paragraph named only project notes. No equation, argument, mass, phase or previous source credit is removed or changed. This addition contains complete rebuilt 837-page cumulative and 263-page supplement PDFs, all six complete corrected LaTeX sources (including later inherited copies), and a reversible citation-change record. Four source copies were not separately rebuilt as PDFs. Earlier editions and the cohomology, positive-quotient and character-lifting readers remain available. The stable project description, creators, rights and cohomology preview are retained; this correction neither replaces that work nor asserts a resolution of RH. Complete matching GitHub source edition · 025-frg2-cited-cumulative.pdf · 026-frg2-cited-proof-supplement.pdf · 027-frg2-complete-citation-sources.zip · 028-frg2-citation-changes.json Full-source tensor, original-divisor and arithmetic-return continuation This addition integrates the subsequent completed work of the Split Zero to GCT bridge, the Split-Zero cohomology calculation, and the identity–absorber research task. It contains full-source Gaussian spectral synthesis and completed tensor comparison; positive source-measure classification and original-zeta divisor identities; and the derived arithmetic return, full Gram harmonic comparison, all-dilation forcing identities and closed-support restriction cross. Three complete continuation PDFs accompany all editable LaTeX and Markdown proofs, reproducible programme figures, a machine-readable result/dependency index and an exact source-reading/review record. Earlier cumulative readers, structural constructions, analytic estimates, formalization, connected research and self-audit remain in this collection. The investigator's parityless support is distinct from recovered integer1. Original zeta factors, every zero multiplicity, actual source topologies and surviving cohomology are retained. Human sources are credited at use. This edition does not claim an RH proof, arithmetic purity or human peer review. The project title, complete preceding description, authorship, rights, all earlier files and the Split-Zero cohomology reading preview are preserved. The mixed contraction is explicitly scoped to its degree-one obstruction, with the surviving K0 recorded; an unfinished divisor follow-up is not presented as completed. Complete matching GitHub source edition | 029-full-source-synthesis-and-tensor.pdf | 030-positive-source-and-original-divisor.pdf | 031-arithmetic-return-and-closed-support.pdf | 032-complete-three-task-proof-sources.zip | 033-results-and-programme-relevance.json Source endpoint and residue-section continuation This addition extends the existing Split-Zero cohomology and original-zeta programme with a complete 647-page cumulative identity-absorption reader. It retains the preceding geometric, original-divisor and positive-form arguments and adds the full-dual Hardy observation, the meromorphic endpoint with its exact cover action, generation of the original vanishing-jet ideal by the full cover-discrepancy family, and exact comparison of residue sections and polynomial quotients. The earlier papers, analytic estimates, formalization, connected investigations and research self-audit remain part of this collection and its linked base collection. The complete LaTeX, Markdown proofs, reproducible figures and machine-readable result/relevance index accompany the PDF. Two additional full mathematical reviews, with editable TeX, prove the maximal common identity-induced quotient, compute finite-section resonance and joint uniqueness, and strengthen the regularized operator result to every positive Schatten exponent. These are separately identified companions, not claims that the historical 647-page body already contained those further results. Publication notes give the exact conjugation in a general receiver-coefficient formula; its omitted conjugation in an earlier zero-case sentence does not change that zero conclusion. The investigator's parityless support remains distinct from the recovered integer unit; complete-history reconstruction precedes coefficient arithmetic. Original zeta, Gamma and endpoint factors, full zero multiplicities, source topologies and raw cover degrees remain explicit. S. Waleed Noor's Hardy-space results and the inherited work of Deligne, Connes–Consani, Meyer and other human sources are cited at their uses, with reading coverage stated. These calculations do not establish arithmetic purity, geometric lifting vanishing or an RH proof. Independent AI reviews are not human peer review or a new Lean certification. All 647 rendered pages match the supplied reader after link repair. The source archive contains the full proof collection, not extracts; protected human-author archives and private correspondence are not redistributed. The project title, full preceding description, authorship, rights, all 33 preceding downloads and the full-support cohomology preview are preserved. The later GCT85 and complete-refinement packets are outside this specific frozen addition. Complete matching GitHub source edition | 034-source-endpoint-and-residue-section.pdf | 035-source-endpoint-complete-sources.zip | 036-source-endpoint-results.json Consolidated reading and source accessUse the reading guide and full file-location table and the machine-readable preservation index. All 100 original files and all 36 continuation files are represented without changing their contents; an identical preview PDF is stored only once as a separate download. The complete original 98-paper ZIP and both original complete-source ZIPs remain alongside all continuation sources. The separately staged 719-page successor is not included in this edition. The earlier collection descriptions above identify historical editions and their stated scopes.

El desarrollo de portafolios financieros juega un protagónico en la estructura económico-financiera de los estados y la economía mundial, uno de ellos son los fondos de inversi&oa…

El desarrollo de portafolios financieros juega un protagónico en la estructura económico-financiera de los estados y la economía mundial, uno de ellos son los fondos de inversión como instrumento financiero capaz de brindar rentabilidad a inversores en calidad de personas naturales y jurídicas que, no necesariamente deben contar con un conocimiento previo sobre la dinámica del mercado bursátil, sus riesgos e incertidumbres. Esta investigación tiene como objetivo analizar la conceptualización de los fondos de inversión y su relación con empresas y personas. Asimismo, examina la relevancia y el papel que juegan en la economía global. Se utilizó una revisión documental en base de datos como Scopus, Scielo, Dialnet, informes de organismos y entidades internacionales, asimismo consulta en repositorios relacionados con la temática de estudio. Los resultados mostraron que los fondos de inversión representan una oportunidad para generar rentabilidad condicionada a riesgos e incertidumbres pactadas desde el inicio que se vinculen a ellos. Además, precisa la identificación de los principales fondos de inversión del mundo y su comportamiento con el manejo de activos bajo gestión; resaltando el peso que representan en la economía global. Se concluye es un instrumento con alto impacto dentro de la gestión de activos financieros. Para el cierre del año 2020, los activos discrecionales totales bajo gestión de estas compañías se ubicaron en 119,5 billones de dólares, contrastado con el PIB mundial de 85,763 billones para este mismo año, en suma, los activos gestionados representaron el 139% del PIB mundial; ello permite dar una interpretación sustancial del peso de estas gestoras en la dinámica financiera global.