Ratio¶
Core Idea¶
A ratio compares two quantities by assigning one the role of numerator and the other the role of a nonzero reference denominator. Their quotient says how much of the numerator obtains per unit of the denominator. The ordering matters: deaths per 100,000 people, people per hospital bed, and hospital beds per person are different claims. A ratio is therefore not just a number. Its quantities, units, population, and time window are part of what the number means.
How would you explain it like I'm…
How Many for Each
How Much Per One
Ratio as Per-Unit Comparison
Broad Use¶
- Measurement and engineering: speed, density, efficiency, signal-to-noise ratio, and aspect ratio.
- Medicine and public health: incidence per person-time, case-fatality ratios, and clinician-to-patient ratios.
- Economics and finance: debt-to-income, price-to-earnings, productivity, leverage, and exchange rates.
- Demography and public policy: per-capita spending and events per population at risk.
- Computing: compression ratios, cache-hit rates, throughput per processor, and error rates.
Clarity¶
Ratio separates an absolute amount from its reference base. Ten failures may be alarming or negligible depending on whether the denominator is twelve attempts or twelve million. Naming the denominator exposes comparisons that otherwise smuggle in different populations, exposures, or time periods.
Manages Complexity¶
The abstraction compresses a family of relative measurements into four checks: identify numerator, identify denominator, preserve units, and keep scope aligned. Common scaling of both quantities leaves the quotient unchanged, which lets differently sized systems be compared without pretending their absolute totals are equal.
Abstract Reasoning¶
Ratio licenses multiplicative reasoning: twice as much per unit, one failure for every thousand trials, or three inputs for each output. It also makes denominator sensitivity explicit. A fixed numerator can support opposite narratives under different reference populations, so changing the denominator is a substantive modeling choice rather than a cosmetic rewrite.
Knowledge Transfer¶
The same questions transfer intact across fields: What is counted? Relative to what? Are the units compatible? Does the denominator represent the population actually exposed? A practitioner trained to audit rates in epidemiology can use the same discipline on business metrics, machine-learning benchmarks, or energy intensity.
Example¶
Two factories each report 50 defects. Factory A produced 1,000 units and Factory B produced 100,000. The equal counts conceal defect ratios of 5% and 0.05%. Division by the relevant production base changes the comparison by two orders of magnitude.
Relationships to Other Abstractions¶
Current abstraction Ratio Prime
Parents (1) — outgoing typed relations
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Ratio is a kind of Comparison Prime
Ratio is comparison specialized to a multiplicative or per-unit relation obtained by dividing an ordered numerator by a nonzero denominator.
Children (118) — abstractions linked here by typed relations
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Absorbed Dose Domain-specific is a kind of Ratio
Absorbed dose specializes a ratio as ionizing-radiation energy imparted per absorber mass.
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Aggregate Modulus Domain-specific is a kind of Ratio
Aggregate Modulus is a strict kind of Ratio: it is the equilibrium axial-stress to axial-strain ratio under confined-compression conditions.
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Arc elasticity Domain-specific is a kind of Ratio
Arc elasticity is a strict kind of Ratio: A measure of one variable's proportional responsiveness to another between two observations, commonly calculated as the ratio of their midpoint percentage changes.
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Arterial resistivity index Domain-specific is a kind of Ratio
Arterial RI is a strict Ratio: it divides the systolic–diastolic velocity difference by peak systolic velocity within one arterial waveform.
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Attack rate Domain-specific is a kind of Ratio
Attack rate is a strict kind of Ratio: In epidemiology, the attack rate is the proportion of an at-risk population that contracts the disease during a specified time interval.
- Average variable cost Domain-specific is a kind of Ratio
The numerator is variable production cost over a stated short-run horizon, the nonzero denominator is the corresponding positive output quantity, and ordered division yields variable-cost currency per unit of output.
- Basic Earnings Per Share Domain-specific is a kind of Ratio
Basic Earnings Per Share is a domain-specific kind of Ratio: Earnings available to common shareholders divided by weighted-average basic shares outstanding.
- Bodenstein number Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the flow geometry, characteristic length and velocity, axial dispersion or diffusion coefficient, unit consistency, exact convention and interpretation range.
- Body Fluid to Serum Concentration Ratio Domain-specific is a kind of Ratio
The fluid-to-serum concentration quotient is a Ratio with a specified analyte, compatible concentration units and paired clinical specimens.
- Buffett indicator Domain-specific is a kind of Ratio
What makes it its own entry: the domain-specific identity determined by the equity universe, GDP measure, date alignment, jurisdiction, units, revisions, and historical comparison method are explicit and the ratio is not treated as a standalone forecast.
- Capacity factor Domain-specific is a kind of Ratio
Capacity factor is the ratio of actual energy output to maximum possible output over a period.
- Capacity utilization Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the production unit and period, actual output, capacity definition, installed capital and labor assumptions, product mix, maintenance and downtime, bottleneck, quality yield, units and prices, seasonal adjustment, uncertainty, and aggregation weights.
- Capital intensity Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the production unit and period, capital concept and valuation, labor or output denominator, units and price basis, depreciation and utilization treatment, aggregation weights, ratio direction and comparison benchmark.
- Cash-flow-to-debt ratio Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the reporting entity and consolidation, accounting standard and period, cash-flow numerator and adjustments, debt instruments included and measurement date, leases and cash netting, currency, annualization, ratio direction, negative values, seasonality, peer basis, trend, covenant definition and uncertainty.
- Coefficient of performance Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the system and boundary, heating or cooling mode, useful heat-transfer rate or energy, work or electrical input, time basis, operating temperatures, auxiliary loads, steady or seasonal convention, dimensionless ratio and uncertainty.
- Coefficient of variation Domain-specific is a kind of Ratio
The candidate literally instantiates prime:ratio; What makes it its own entry: A dimensionless relative-dispersion statistic equal to standard deviation divided by mean, interpreted only where the measurement scale and nonzero mean make the ratio meaningful.
- Consumer leverage ratio Domain-specific is a kind of Ratio
Consumer leverage ratio is a strict kind of Ratio: The ratio of household debt outstanding to annual disposable personal income for a matched population and period.
- Cost per mille Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the advertiser and campaign, medium and placement, cost components and currency, period, impression definition and counting system, thousand-unit scaling, served and viewable status, invalid traffic, estimated audiences, frequency and duplication, attribution, uncertainty, and comparability limits.
- Crest Factor Domain-specific is a kind of Ratio
Crest factor is an ordered quotient of a waveform's peak amplitude by its nonzero RMS amplitude.
- Cyclically adjusted price-to-earnings ratio Domain-specific is a kind of Ratio
Cyclically adjusted price-to-earnings ratio is a strict kind of Ratio: The cyclically adjusted price-to-earnings ratio (CAPE, Shiller P/E, or P/E 10 ratio) is a stock valuation measure usually applied to the US S&P 500 equity market.
- Data center infrastructure efficiency Domain-specific is a kind of Ratio
IT-equipment power is the ordered numerator and nonzero total-facility power is the reference denominator; division followed by percentage scaling states how much IT load obtains per unit of facility input.
- Debt service coverage ratio Domain-specific is a kind of Ratio
Debt service coverage ratio is a strict kind of Ratio: its frozen identity entails the parent's defining structure while adding domain-specific restrictions.
- Debt-to-income ratio Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the borrower and application date, front-end or back-end convention, gross monthly income definition and documentation, included housing and debt obligations, exclusions, calculation period, percentage and governing underwriting rule.
- Dividend cover Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the reporting entity and period, attributable earnings definition, ordinary and special dividends, declared or paid timing, share class, continuing operations and exceptional items, currency, sign and zero cases, data provenance, and trailing or forecast convention.
- Dynamic Amplification Factor Domain-specific is a kind of Ratio
A DAF is a ratio specialized to matched dynamic and static or steady structural responses.
- Eckert Number Domain-specific is a kind of Ratio
Eckert Number is a strict kind of Ratio: The dimensionless group Ec=U²/(cₚΔT), comparing a flow's characteristic kinetic-energy scale with the sensible-enthalpy scale of a stated temperature difference.
- Ecological stoichiometry Domain-specific is a kind of Ratio
Ecological Stoichiometry instantiates Ratio because elemental proportions are the invariant comparative quantities connecting organism composition, resources, and ecosystem fluxes.
- Electrical admittance Domain-specific is a kind of Ratio
Electrical admittance is the ordered current-to-voltage ratio for a specified linear electrical response, with a nonzero reference voltage for direct division.
- Emission intensity Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the pollutant species and global-warming potential if aggregated, source and organizational boundary, lifecycle stage, geography and period, direct and indirect scope, gross and net treatment, activity denominator and units, allocation and coproduct method, measurement or estimation, uncertainty, comparability, and total-emission rebound.
- Energy Conversion Efficiency Domain-specific is a kind of Ratio
Energy conversion efficiency is Ratio specialized to matched useful converted-energy output divided by energy input.
- Enterprise Value-to-Sales Ratio Domain-specific is a kind of Ratio
EV/Sales strictly instantiates **Ratio**: EV is the ordered numerator, nonzero sales the reference denominator, division yields a per-unit quotient, and currency/period/scope determine interpretation.
- Envy ratio Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the transaction and capitalization date, investor and management cash investments, fully diluted equity percentages and instruments, price-per-percentage calculations, resulting ratio and treatment of sweet equity or contingent awards.
- Ericksen Number Domain-specific is a kind of Ratio
Ericksen number is an ordered quotient of a declared viscous flow scale by a nonzero orientational-elastic reference scale.
- EV/EBITDA Domain-specific is a kind of Ratio
EV/EBITDA is a domain-specific kind of Ratio: EV/EBITDA is a valuation multiple dividing enterprise value by earnings before interest, taxes, depreciation, and amortization to compare the market value of operating businesses across financing and accounting structures.
- EV/GCI Domain-specific is a kind of Ratio
**Ratio** is the broader abstraction this entry instantiates.
- False Positive Rate Domain-specific is a kind of Ratio
A defined FPR divides false-positive cases by all actual negatives under the same binary rule.
- Financial ratio Domain-specific is a kind of Ratio
Financial ratio is a strict kind of Ratio: Often used in accounting, there are many standard ratios used to try to evaluate the overall financial condition of a corporation or other organization.
- Forecast Attainment Domain-specific is a kind of Ratio
**The aggregate numerator** is the realized total and **the aggregate denominator** is the nonzero total from **the preserved forecast snapshot**; ordered division yields **the attainment ratio**.
- Gender Parity Index Domain-specific is a kind of Ratio
The matched female indicator is the numerator, the corresponding nonzero male indicator is the denominator, and ordered division yields the index.
- Hemiperfect number Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the positive integer n, positive-divisor convention, sigma function, abundancy ratio in lowest terms, odd numerator k and evidence or bounds for any least-member claim.
- Import ratio Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the country, reporting dates, import flow interval, gross or usable reserve definition, currency conversion, seasonality, inversion convention, and treatment of services and external liabilities.
- Incremental Capital–Output Ratio Domain-specific is a kind of Ratio
Defined ICOR divides an incremental capital or investment measure by a nonzero output increment, specializing Ratio.
- Inherent steady-state availability Domain-specific is a kind of Ratio
Inherent steady-state availability is the ordered MTBF-to-total-cycle-time ratio for a repairable item under corrective-only downtime accounting.
- Ka/Ks ratio Domain-specific is a kind of Ratio
The statistic is a normalized ratio between two modeled substitution rates.
- Kt/V Domain-specific is a kind of Ratio
Urea Kt/V is a specialized quotient of equivalent urea-cleared volume by urea distribution volume.
- Land equivalent ratio Domain-specific is a kind of Ratio
Land-equivalent ratio compares monoculture land required with intercropped land for equal yield.
- Law of reciprocal proportions Domain-specific is a kind of Ratio
The law literally compares two normalized combining-mass quotients; chemical identity, the common third element, and simple-integer stoichiometric compatibility provide its autonomous specialization.
- Law of sines Domain-specific is a kind of Ratio
The theorem literally equates ratios between side lengths and nonzero sines; What makes it its own entry: the invariant equality of opposite side-to-sine ratios for one triangle, together with circumcircle meaning and branch ambiguity; generic trigonometric inversion, similarity, or any ratio involving sines does not reproduce it.
- Leaf Area Index Domain-specific is a kind of Ratio
**Ratio** is instantiated by leaf area divided by ground area.
- Lerman ratio Domain-specific is a kind of Ratio
The Lerman ratio compares an actual income increase with the nominal benefit provided.
- Lighting Ratio Domain-specific is a kind of Ratio
Lighting ratio is a domain-specific measured ratio.
- Linear energy transfer Domain-specific is a kind of Ratio
What makes it its own entry: the domain-specific identity determined by particle type and energy, material, path definition, averaging, secondary-electron cutoff, and restricted or unrestricted LET convention are all stated.
- Logarithmic frequency ratio Domain-specific is a kind of Ratio
Logarithmic frequency ratio is a strict kind of Ratio: The logarithmic frequency ratio (also known as frequency level) of two frequencies is the logarithm of their ratio, and may be expressed using the unit octave (symbol: oct) corresponding to the ratio 2 or the unit decade (symbol: dec) corresponding to the ratio 10.
- Major Limma Domain-specific is a kind of Ratio
For an upward interval, the upper pitch frequency is the numerator and the nonzero lower pitch frequency is the denominator; ordered division fixes their quotient at exactly `135/128`.
- Market share Domain-specific is a kind of Ratio
Every market share is an aligned part-to-market-total ratio; it adds a competitive-market boundary and a supplier or product as the focal part.
- Mass-to-Light Ratio Domain-specific is a kind of Ratio
Astronomical mass-to-light ratio is a ratio specialized to mass per emitted light.
- Mechanical Advantage Domain-specific is a kind of Ratio
Mechanical advantage is a specialized output-to-input mechanical ratio.
- Meshedness coefficient Domain-specific is a kind of Ratio
Meshedness coefficient is a strict kind of Ratio: its frozen identity entails the parent's defining structure while adding domain-specific restrictions.
- Molar Concentration Domain-specific is a kind of Ratio
Molar Concentration is a strict kind of Ratio: it divides amount of substance by mixture volume under named units and temperature conditions.
- Multiply perfect number Domain-specific is a kind of Ratio
What makes it its own entry: the domain-specific identity determined by positive integer n, divisor convention, divisor-sum function, and integer multiplier k satisfy the exact equation σ(n)=kn.
- Net income per employee Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the company and reporting period, net-income definition and currency, consolidated scope, employee-count definition and averaging, formula, comparison group and adjustments for outsourcing and exceptional items.
- Nusselt number Domain-specific is a kind of Ratio
Nusselt number is a strict kind of Ratio: The dimensionless heat-transfer group Nu_L = hL/k, relating a surface's convective coefficient to fluid thermal conductivity across a stated characteristic length.
- One-seventh area triangle Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the nondegenerate parent triangle, cyclic side-division convention, three cevians, central intersection triangle and exact one-to-seven area relation.
- Price-to-Book Ratio Domain-specific is a kind of Ratio
The numerator is the market value of the relevant common-equity claim, the nonzero denominator is its accounting book value, and ordered division yields market-value units per book-value unit.
- Packing density Domain-specific is a kind of Ratio
Packing density is the ratio of occupied measure to total measure in a containing space.
- Peak signal-to-noise ratio Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the reference and test signals, spatial and temporal alignment, sample domain and color space, transfer function, bit depth and peak value, clipping, mean-squared-error definition and channel aggregation, logarithm and decibel convention, infinite value for zero error, masks or regions, comparability and perceptual limits.
- Physiological Density Domain-specific is a kind of Ratio
Physiological Density is a strict kind of Ratio: it divides population by arable-land area under a declared geographic scope.
- Power-to-weight Ratio Domain-specific is a kind of Ratio
Power-to-weight ratio is a ratio restricted to a specified physical power numerator and declared nonzero mass denominator.
- Process performance index Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the process and characteristic, observation window and sampling, upper and lower specification limits, target if any, mean and overall standard-deviation estimator, one- or two-sided formula, subgrouping, process stability, distribution and dependence, confidence interval, negative values and acceptance criterion.
- Proportionality (mathematics) Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the variables and domain, direct or inverse form, constant and units, equation, zero and sign conventions, correspondence of observations and evidence that the ratio or product remains invariant.
- Put/Call Ratio Domain-specific is a kind of Ratio
The put-call ratio is the ratio of put activity to call activity used as a market-sentiment indicator.
- Quadrant Count Ratio Domain-specific is a kind of Ratio
**`ratio` — proposed strict subsumption parent.** Its readout is an ordered numerator—the signed count difference—divided by the nonzero total paired count (N), with both roles and scope required for interpretation.
- Radiation Efficiency Domain-specific is a kind of Ratio
Antenna radiation efficiency is the ordered ratio of total radiated RF power to net RF power accepted at its terminals under one condition.
- Rapid Shallow Breathing Index Domain-specific is a kind of Ratio
RSBI is a strict Ratio: respiratory frequency is divided by nonzero tidal volume under one aligned sampling protocol.
- Real net output ratio Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the firm and reporting period, production boundary, internal production value, externally produced goods and services, valuation and transfer-price rules, denominator reconciliation, ratio and units and comparison across firms or time.
- Relative Atomic Mass Domain-specific is a kind of Ratio
(A_{\mathrm r}) is exactly a mass divided by the nonzero atomic mass constant; this is the broader abstraction this entry instantiates.
- Relative humidity Domain-specific is a kind of Ratio
Relative humidity is a strict kind of Ratio: Relative humidity is the ratio, usually expressed as a percentage, of actual water-vapor partial pressure to equilibrium saturation vapor pressure at the same temperature.
- Response-rate ratio Domain-specific is a kind of Ratio
Response-rate ratio is a strict kind of Ratio: Response-rate ratio is a measure of efficacy of therapy in clinical trials.
- Return on invested capital Domain-specific is a kind of Ratio
Return on invested capital is a strict kind of Ratio: A company-level ratio of after-tax operating profit to average invested capital, used to assess operating return on deployed capital.
- Reynolds Number Domain-specific is a kind of Ratio
**Ratio** is the strict parent because Re compares one characteristic contribution with another by division and remains meaningful only with numerator, denominator, and frame named.
- Rugosity Domain-specific is a kind of Ratio
**Ratio** is the broader abstraction this entry instantiates by strict subsumption.
- Slip Ratio (Gas–Liquid Flow) Domain-specific is a kind of Ratio
Slip ratio is the gas-phase intrinsic velocity divided by the nonzero liquid-phase intrinsic velocity in one flow frame.
- Specific quantity Domain-specific is a kind of Ratio
Specific quantity is a domain-specific kind of Ratio: An intensive physical quantity expressed per unit mass of a system.
- Spectral line ratios Domain-specific is a kind of Ratio
Spectral line ratios is a strict kind of Ratio: The analysis of line intensity ratios is an important tool to obtain information about laboratory and space plasmas.
- Stable Isotope Ratio Domain-specific is a kind of Ratio
A stable-isotope abundance quotient is an ordered Ratio specialized to a same-element stable isotope pair in one material.
- Stefan Number Domain-specific is a kind of Ratio
Stefan Number **specializes Ratio**, the broader abstraction.
- Stress triaxiality Domain-specific is a kind of Ratio
The candidate literally instantiates prime:ratio; What makes it its own entry: The dimensionless ratio of mean hydrostatic stress to von Mises equivalent stress, characterizing the pressure-like component of a multiaxial stress state.
- Stuart Number Domain-specific is a kind of Ratio
Stuart Number divides a magnetic-force scale by an inertial-force scale.
- Superpartient Ratio Domain-specific is a kind of Ratio
**Ratio** is the broader abstraction this entry instantiates.
- Surface-area-to-volume ratio Domain-specific is a kind of Ratio
Surface-area-to-volume ratio is a strict kind of Ratio: The surface-area-to-volume ratio or surface-to-volume ratio (denoted as SA:V, SA/V, or sa/vol) is the ratio between surface area and volume of an object or collection of objects.
- T-statistic Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the estimand and estimator, null value, standard-error estimator, ratio formula and sign, model assumptions, degrees of freedom, reference distribution, test direction and uncertainty interpretation.
- Testosterone-to-Cortisol Ratio Domain-specific is a kind of Ratio
**Ratio** is the broader abstraction this entry instantiates.
- Thyroid hormone binding ratio Domain-specific is a kind of Ratio
Thyroid hormone binding ratio is a strict kind of Ratio: A reference-normalized thyroid-hormone uptake result indicating serum binding capacity indirectly.
- Torque density Domain-specific is a kind of Ratio
Volumetric torque density is a ratio with torque as numerator and declared positive device volume as denominator.
- Transmission coefficient Domain-specific is a kind of Ratio
It remains its own entry because its identity is fixed by the incident and transmitted quantities, amplitude-versus-flux convention, normalization, impedances or wave numbers, direction, polarization or mode, frequency, and boundary conditions.
- TRIN (Arms Index) Domain-specific is a kind of Ratio
TRIN (Arms Index) is a strict kind of Ratio: An intraday market-breadth indicator equal to the ratio of advancing to declining issues divided by the ratio of advancing to declining share volume for the same universe and interval.
- Type-Token Ratio Domain-specific is a kind of Ratio
Type-Token Ratio is a ratio specialized to distinct lexical types as numerator and total word tokens as the nonzero reference denominator.
- Volume concentration Domain-specific is a kind of Ratio
Volume concentration is a strict kind of Ratio: The constituent volume divided by final mixture volume under declared state conditions, reported as a fraction, percentage, or explicit volume-per-volume basis.
- Volume of Distribution Domain-specific is a kind of Ratio
amount divided by nonzero concentration produces the apparent-volume scale and requires explicit units and scope.
- Working Capital Turnover Ratio Domain-specific is a kind of Ratio
Working Capital Turnover Ratio is a strict kind of Ratio: Net sales for a period divided by average working capital for the same period, reporting sales generated per unit of net current-asset investment.
- Number Density Prime is a kind of Ratio
Every number density is a Ratio specialized to a countable population per associated spatial extent.
- Productivity Prime is a kind of Ratio
Productivity is the Ratio species whose numerator is produced output and whose denominator is a declared input, resource, capacity, area, or time basis.
- Relative Change Prime is a kind of Ratio
Relative Change is a strict kind of Ratio: Relative change measures a quantity's difference from a declared reference value as a ratio to that reference, preserving proportional change while suppressing absolute scale.
- Abbe Number Domain-specific presupposes Ratio
Abbe number presupposes an aligned, nonzero-denominator refractivity-to-dispersion ratio.
- Absolute Advantage Domain-specific includes Ratio
Absolute Advantage contains producer-specific output-per-input ratios whose aligned quotients are compared for the same good.
- Comparative Genomic Hybridization Domain-specific presupposes Ratio
The test-to-reference signal ratio is the measurement that turns two hybridization channels into relative copy-number evidence; removing it destroys CGH's comparative identity.
- Cost Efficiency Domain-specific presupposes Ratio
Cost efficiency presupposes a work-comparison ratio.
- GC Skew Domain-specific presupposes Ratio
Normalized GC skew presupposes a nonzero-denominator ratio.
- Hatta number Domain-specific includes Ratio
An ordered reaction-to-transport ratio is an internal constituent of the model-defined Hatta calculation.
- Missing Denominator Domain-specific presupposes Ratio
Missing Denominator presupposes an intended ratio because the reported numerator is defective only when a reference quantity is required to form its quotient.
- Power (Physics) Domain-specific presupposes Ratio
A physical work or energy amount per time requires an ordered amount-to-duration rate relation, or its instantaneous limit.
- Pressure Domain-specific presupposes Ratio
Signed normal force per positive area supplies the ordered per-area relation in mechanical pressure.
- Quasicircle Domain-specific presupposes Ratio
The uniform turning condition presupposes a same-endpoint ratio of smaller connecting-subarc diameter to nonzero chord length.
- Total return index Domain-specific includes Ratio
The finite-return chaining rule contains an ordered current/prior index-level ratio.
- Type M Error Domain-specific includes Ratio
Type M contains an exaggeration ratio whose numerator is expected significant effect magnitude and whose denominator is true effect magnitude.
- Water potential Domain-specific includes Ratio
The defining energy-to-pressure normalization contains an ordered Ratio of water chemical-potential difference to nonzero water molar volume.
- Weber's Law Domain-specific includes Ratio
The Weber fraction is literally the ordered ratio of just-noticeable change to nonzero baseline stimulus magnitude.
- Proportion and Scale Prime is a decomposition of Ratio
Removing the art-and-design frame leaves the ordered ratio relation among relative dimensions and their reference quantity.
Hierarchy path (1) — routes to 1 parentless root
- Ratio → is a kind of Comparison
Not to Be Confused With¶
- Ratio is not Difference: difference uses subtraction and measures additive separation.
- Ratio is not Proportion and Scale: that framed prime applies relative dimensions to design and composition; ratio is the general quantitative relation.
- Ratio is not Probability: many probabilities are ratios, but ratios need not be normalized to the interval from zero to one.
- Ratio is not Normalization: normalization may use a ratio, an affine transform, a norm, or a variance to serve a rescaling purpose.