Dimension vs Principle - What's the difference?
dimension | principle |
A single aspect of a given thing.
A measure of spatial extent in a particular direction, such as height, width or breadth, or depth.
* {{quote-magazine, date=2012-01
, author=Robert L. Dorit
, title=Rereading Darwin
, volume=100, issue=1, page=23
, magazine=
A construct whereby objects or individuals can be distinguished.
(geometry) The number of independent coordinates needed to specify uniquely the location of a point in a space; also, any of such independent coordinates.
(linear algebra) The number of elements of any basis of a vector space.
(physics) One of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.
(computing) Any of the independent ranges of indices in a multidimensional array.
(science fiction, fantasy) An alternative universe or plane of existence.
A fundamental assumption.
* {{quote-web, date=2011-07-20, author=Edwin Mares, site=The Stanford Encyclopedia of Philosophy, title=
, accessdate = 2012-07-15}}
A rule used to choose among solutions to a problem.
(usually, in the plural) Moral rule or aspect.
(physics) A rule or law of nature, or the basic idea on how the laws of nature are applied.
* {{quote-magazine, year=2013, month=July-August, author=
, title= A fundamental essence, particularly one producing a given quality.
* Gregory
(obsolete) A beginning.
* (Edmund Spenser)
A source, or origin; that from which anything proceeds; fundamental substance or energy; primordial substance; ultimate element, or cause.
* Tillotson
An original faculty or endowment.
* Stewart
To equip with principles; to establish, or fix, in certain principles; to impress with any tenet or rule of conduct.
* L'Estrange
* Locke
In physics terms the difference between dimension and principle
is that dimension is one of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time while principle is a rule or law of nature, or the basic idea on how the laws of nature are applied.In transitive terms the difference between dimension and principle
is that dimension is to mark, cut or shape something to specified dimensions while principle is to equip with principles; to establish, or fix, in certain principles; to impress with any tenet or rule of conduct.dimension
English
(wikipedia dimension)Noun
(en noun)citation, passage=We live our lives in three dimensions for our threescore and ten allotted years. Yet every branch of contemporary science, from statistics to cosmology, alludes to processes that operate on scales outside of human experience: the millisecond and the nanometer, the eon and the light-year.}}
- The dimension of velocity is length divided by time.
Synonyms
* (single aspect of a thing ): aspect * (measure of spatial extent ): magnitude, proportion, size, scope * (construct whereby objects or individuals can be distinguished ): attribute, propertyDerived terms
* * * * correlation dimension * dimensional * dimensional analysis * dimensional shingle * exterior dimension * four-dimensional * fourth dimension * fractal dimension * Hamel dimension * Hausdorff dimension * information dimension * isoperimetric dimension * Kaplan-Yorke dimension * Krull dimension * Lebesgue covering dimension * Lyapunov dimension * multidimensional * one-dimensional * pointwise dimension * poset dimension * q-dimension * third dimension * three-dimensional * transdimensionalprinciple
English
Noun
(en noun)Propositional Functions
- Let us consider ‘my dog is asleep on the floor’ again. Frege thinks that this sentence can be analyzed in various different ways. Instead of treating it as expressing the application of __ is asleep on the floor'' to ''my dog'', we can think of it as expressing the application of the concept
''my dog is asleep on __''
to the object
''the floor''
(see Frege 1919). Frege recognizes what is now a commonplace in the logical analysis of natural language. ''We can attribute more than one logical form to a single sentence . Let us call this the principle of multiple analyses . Frege does not claim that the principle always holds, but as we shall see, modern type theory does claim this.
Sarah Glaz
Ode to Prime Numbers, volume=101, issue=4, magazine=(American Scientist) , passage=Some poems, echoing the purpose of early poetic treatises on scientific principles , attempt to elucidate the mathematical concepts that underlie prime numbers. Others play with primes’ cultural associations. Still others derive their structure from mathematical patterns involving primes.}}
- Cathartine is the bitter, purgative principle of senna.
- Doubting sad end of principle unsound.
- The soul of man is an active principle .
- those active principles whose direct and ultimate object is the communication either of enjoyment or suffering
Usage notes
Principle is always a noun ("moral rule"), but it is often confused with (principal), which can be an adjective ("most important") or a noun ("school principal"). Consult both definitions if in doubt. Incorrect usage: * He is the principle musician in the band * She worked ten years as school principle A mnemonic to avoid this confusion is "The principal'' alphabetic ''principle'' places ''A'' before ''E ".Synonyms
* (moral rule or aspect) tenetDerived terms
* agreement in principle * anthropic principle * Aufbau principle * Bernoulli's principle * correspondence principle * cosmological principle * Dilbert principle * dormitive principle * equivalence principle * extractive principle * first principles * Huygens' principle * IBM Pollyanna Principle * Le Chatelier's principle * Mach's principle * matter of principle * Matthew principle * Mitchell principle * on principle * Pareto principle * Pauli exclusion principle * Peter principle * pigeonhole principle * precautionary principle * principle of least action * principle of substitutivity * principled stance * programming principle * reciprocity principle * strong equivalence principle * superposition principle * uncertainty principle * verifiability principleVerb
- Governors should be well principled .
- Let an enthusiast be principled that he or his teacher is inspired.