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replacement windows internally inconsistent","url":"https://visionforbaltimore.org/for-families/"}],"formulas":{"public":"G*f*ca*m; m is NEW public funding per CA donor core dollar, not existing reimbursements","children":"(G*f+public)/C; C is complete delivery cash per clinically indicated delivered child including allocated failed screens/exams/noncompletion","discounted_years":"integral 0..T of (1+r)^(-t) dt","health":"base_N*A*(gap*wear*u*D(T)-shared_harm)*discount(d) + match_N*A*(gap*wear*u*D(T)-shared_harm)*discount(d) - independent_donor_harm; geography applied separately by tranche","cost":"G+new_public+N*in_kind; no healthcare savings or baseline public money added","ratios":"10*cost/health only when health>0, otherwise null","geography":"base shared health times ordinary Bay/SF share + California match shared health times CA-conditional Bay/SF share - independent donor harm times ordinary Bay/SF share","timing":"d is donation-to-dispensing calendar delay; D(T) integrates health for T years AFTER dispensing; shared harm at dispensing; independent donor harm at donation. Complete nominal committed costs at donation."},"boundaries":["All numeric scenario inputs are analyst judgments except gift and chosen discount convention. No claimed trial utility calibration.","Cost includes completed-child delivery and allocated upstream attrition; no extra completion probability.","Core fraction funds delivery; remaining fraction funds shared institutional overhead, fundraising and unquantified research/advocacy; complete gift remains numerator.","A is donor-to-net-new-service financial replacement; gap is absent adequate correction among those extra recipients. Wear is corrected-time fraction, not separate efficacy multiplier.","T is finite time before no-new-gift care catches up, with no lifetime educational or amblyopia tail. Two-year scenario requires replacement/follow-up cash in C.","Benefit utility averages refractive severity among delivered children; not every child is assumed visually impaired by WHO criteria.","Public-match sensitivity is hypothetical new cash, conditional on authority, donor eligibility, claims and capacity; no automatic match for unrestricted gifts. No additionality multiplication applied to its gross resource accounting.","Unique child-course only; second pairs/replacements protect duration rather than create extra utility. No PHC adult or partner glasses duplicate credit.","Base Bay/SF resident shares and matching-tranche conditional California resident shares are separate analyst priors, not observed beneficiary fractions. Matching cash funds only California care; no cross-state fungibility benefit claimed.","Donation-to-dispensing delay is an explicit judgment: central1.5months, favorable1month, pessimistic3months. Primary reports weeks after examination, not after gift. 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