Application of the Homotopy Analysis Method in Solving Fuzzy Nonlinear Integral Equations for Birthrate
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
In this work, we presented the fuzzy generalized integral equation for population includes future surge in birthrates which is great interesting for future planning throughout the world.So, we formulated the fuzzy problem of birthrates to be investigated any surge in fuzzy birthrates.The fuzzy integral equation (FIE) included the fuzzy birthrates at time t and the fuzzy function of a girl living to age r2 and unclear role of a girl giving birth to a female kid at this age in an interval time dr2.This fuzzy integral contributed for fuzzy birthrate from woman in the suitable subinterval of the range of childbearing age r2.The homotopy analysis method (HAM) for explained the numerical fuzzy solution of periodicity in the surge of birthrate of generalized fuzzy dynamical birthrate of girl born at any as well as all the tables and figures are given in details also the behaviors of the birthrate which described the solution of fuzzy integral.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it