quantification
Measuring or stating quantity
the act of finding or showing how much or how many of something there is
quantification of [something]
- The study allowed better quantification of the health risks linked to air pollution.
- Reliable quantification of carbon emissions is essential for climate reporting.
- The company wants more precise quantification of the costs before approving the project.
- Quantification means putting a number on something.
- The team worked on the quantification of water use.
Use of logical quantifiers
the use of words or symbols that mean all, some, or at least one in a logical statement
quantification over [a set/domain/variable]
- The formula uses universal quantification to say that the property holds for every object in the domain.
- In this sentence, the scope of quantification is ambiguous.
- Existential quantification is used when a claim says that at least one example exists.
- In logic, quantification can mean saying that something is true for all things.
- The symbol means quantification over every value of x.
- Base: quantification
- Plural: quantifications
existential quantification
1Statement about at least one
a logical way to say that at least one thing in a group exists or has a property
- The symbol ∃ is used for existential quantification.
- The proof begins with existential quantification: there exists a number with the required property.
- Existential quantification does not identify which object satisfies the condition.
limit of quantification
1Lowest reliably measured amount
the smallest amount that a test can measure reliably
- The pesticide level was below the limit of quantification for the method.
- The laboratory reported a lower limit of quantification after improving the instrument settings.
- Results near the limit of quantification should be interpreted with caution.
quantification of damages
1Calculating legal compensation
the process of deciding how much money someone claims for a loss or injury
- The court asked for clearer evidence on the quantification of damages.
- The expert report focused on the quantification of damages from the breach of contract.
- Without proper quantification of damages, the claim may be difficult to prove.
risk quantification
1Estimating risk numerically
putting numbers on possible risks, such as how likely or costly they are
- The bank improved its risk quantification models after the market shock.
- Good risk quantification helps managers decide how much insurance they need.
- The report includes risk quantification for each stage of the project.
uncertainty quantification
1Measuring model uncertainty
estimating how unsure a calculation or model result is
- Uncertainty quantification is important when simulations are used to guide safety decisions.
- The team added uncertainty quantification to show how reliable the forecast was.
- Modern climate models include uncertainty quantification for key assumptions.
universal quantification
1Statement about every member
a logical way to say that something is true for all things in a group
- The symbol ∀ represents universal quantification in formal logic.
- The sentence uses universal quantification because it makes a claim about every student in the class.
- Universal quantification over an empty set can be counterintuitive for beginners.