definition
Communications
(noun)
A statement expressing the essential nature of something; formulation.
Calculus
(noun)
a formalization of the notion of the limit of functions
Examples of definition in the following topics:
-
The Law of Definite Composition
- The law of definite composition states that chemical compounds are composed of a fixed ratio of elements as determined by mass.
- The law of definite composition has applications to both molecular compounds with a fixed composition and ionic compounds as they require certain ratios to achieve electrical neutrality.
- There are some exceptions to the law of definite composition.
- In addition, the law of definite composition does not account for isotopic mixtures.
- This video examines the law of definite proportions and the law of multiple proportions.
-
Definitions of Religion
- The starting point for any study of religion should begin with a definition of the concept.
- Three general definitions have been proposed, each of which will be discussed briefly.
- Each definition has its merits and detriments, but what one often finds is that the definition of religion employed by a particular researcher or in the investigation of a particular topic depends on the question being asked.
- Perhaps the most well known definition of religion is that provided by Emile Durkheim.
- Under this definition, nationalism would be considered religion.
-
Precise Definition of a Limit
- The $(\varepsilon,\delta)$-definition of limit (the "epsilon-delta definition") is a formalization of the notion of limit.
- The $(\varepsilon,\delta)$-definition of limit ("epsilon-delta definition of limit") is a formalization of the notion of limit.
- The definitive modern statement was ultimately provided by Karl Weierstrass.
- The $(\varepsilon,\delta)$-definition of limit is a formalization of the notion of limit.
- This definition also works for functions with more than one input value.
-
The Arrhenius Definition
- Several concepts exist that provide alternative definitions for the reaction mechanisms involved and their application in solving related problems.
- The Arrhenius definition of acid-base reactions, which was devised by Svante Arrhenius, is a development of the hydrogen theory of acids.
- The Arrhenius definitions of acidity and alkalinity are restricted to aqueous solutions and refer to the concentration of the solvated ions.
- Thus, the Arrhenius definition can only describe acids and bases in an aqueous environment.
- This introduction to acids and bases discusses their general properties and explains the Arrhenius definitions for acids and bases.
-
The Act of Defining: Conceptual Engineering
- We are talking here about what is sometimes known as a "stipulative" definition.
- That is to say it is not a descriptive definition, of the type to be found in dictionaries.
- "When I use this word", he or she is warning us, "this is what I mean, no more, no less. " Of course the person creating the definition may hope that if people find the definition useful it will catch on and pass into general usage.
- One option is to invent a new word to point to the definition, or get someone else to do so.
- For example, many years ago I came up with the following definition:
-
A Brief Definition
-
Lewis Acid and Base Molecules
- Under this definition, we need not define an acid as a compound that is capable of donating a proton, because under the Lewis definition, H+ itself is the Lewis acid; this is because, with no electrons, H+ can accept an electron pair.
- For now however, we will consider how the Lewis definition applies to classic acid-base neutralization.
- Under the Lewis definition, hydroxide acts as the Lewis base, donating its electron pair to H+.
- By treating acid-base reactions in terms of electron pairs instead of specific substances, the Lewis definition can apply to reactions that do not fall under other definitions of acid-base reactions.
- This lesson continues to describe acids and bases according to their definition.
-
Recursive Definitions
- A recursive definition of a function defines its values for some inputs in terms of the values of the same function for other inputs.
- In mathematical logic and computer science, a recursive definition, or inductive definition, is used to define an object in terms of itself.
- This definition is valid because, for all $n$, the recursion eventually reaches the base case of $0$.
- Thus the definition makes sense.
- Depending on how the sequence is being used, either the recursive definition or the non-recursive one might be more useful.
-
Definitions
- Your definition of a fruit salad has supported this idea.
- By providing a brief definition, there will be no misunderstanding.
- A definition makes sure you and your audience are talking about the same things.
- Your definition of a fruit salad has supported this idea.
- The number of definitions you include will depend on the length of your speech.
-
The Brønsted-Lowry Definition of Acids and Bases
- His original definition stated that acids were compounds that increased the concentration of hydrogen ions (H+) in solution, whereas bases were compounds that increased the concentration of hydroxide ions (OH-) in solutions.
- Problems arise with this conceptualization because Arrhenius's definition is limited to aqueous solutions, referring to the solvation of aqueous ions, and is therefore not inclusive of acids dissolved in organic solvents.
- To solve this problem, Johannes Nicolaus Brønsted and Thomas Martin Lowry, in 1923, both independently proposed an alternative definition of acids and bases.
- Therefore, according to the Brønsted-Lowry definition, an acid-base reaction is one in which a conjugate base and a conjugate acid are formed (note how this is different from the Arrhenius definition of an acid-base reaction, which is limited to the reaction of H+ with OH- to produce water).
- This lesson continues to describe acids and bases according to their definition.