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From Latinnormālis(“made according to a carpenter's square; later: according to a rule”), from nōrma(“carpenter's square”), of uncertain origin;[1][2][3][4]doublet of normale. The earliest meaning of the word in English was "perpendicular; forming a right angle" like something normālis(“made according to a carpenter's square”),[1][5] but by Late Latin normālis had also come to mean "according to a rule", from which modern English senses of the word derive:[5] in the 1800s, as people began to quantitatively study things like height, weight and blood pressure, the usual or most common values came to be called "normal", and by extension values regarded as healthy or desirable came to be called "normal" regardless of their usuality.[6]
According to norms or rules or to a regular pattern.
Organize the data into third normal form.
2007, Steven Wilson, "Normal", Porcupine Tree, Nil Recurring.
Prescription drugs, they help me through the day And that restraining order keeps me well at bay And what's normal now, anyway?
2014, Michael Rush, Politics & Society, Routledge, →ISBN, page 210:
In other words, although the legal processes were observed, it was not a normal transfer of power within each of the ruling communist parties. […] Demonstrations of the sort that brought about the collapse of the communist regimes in Eastern Europe were not normal, and where attempts had previously been made to hold them, they were invariably suppressed by force.
(mathematics) Adhering to or being what is considered natural or regular in a particular field or context:
(number theory, of a real number) In whose representation in a given base b ≥ 2, for every positive integer n, the bn possible strings of n digits follow a uniform distribution.
A number whose individual digits in a given base representation follow a uniform distribution is said to be simply normal.
A number that is normal for every base b ≥ 2 is said to be absolutely normal.
(algebra, of a subgroup) With cosets which form a group.
(algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.
(set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.
(linear algebra, of a matrix) Which commutes with its conjugate transpose.
(functional analysis, of a Hilbert space operator) Which commutes with its adjoint.
(category theory) Being (as a morphism) or containing (as a category) only normal epimorphism(s) or monomorphism(s), that is, those which are the kernel or cokernel of some morphism, respectively.
(topology, of a topology or topological space) In which disjoint closed sets can be separated by disjoint neighborhoods.
I wrote a 30-page analysis of the show’s villain because I’m very normal about them.
(education, of a school) Teaching teachers how to teach; teaching teachers the norms of education.
My grandmother attended Mankato State Normal School; my grandfather attended Illinois State Normal University.
1928, Western Montana College, Western Montana College of Education, Catalogue of the Montana State Normal College, page 10:
PURPOSE AND SCOPE[:] The State Normal College prepares teachers for the public schools of Montana. It accomplishes its work through professional courses, directed observation of expert teaching, and […]
The interior normal vector of a perfect sphere always point toward the center, and the exterior normal vector directly away, and both are always collinear with the ray whose tip ends at the point of intersection, which is the intersection of all three sets of points.
Usage notes
When used to describe a group of people, normal can be understood as meaning that those not part of the group are strange or freakish. Its usage can therefore be understood as offensive to those it excludes.
2014, Ahmet Celik, Edibe Saricicek, Vahap Saricicek, Elif Sahin, Gokhan Ozdemir, Metin Kilinc, Ayten Oguz, Relation between the new anthropometric obesity parameters and inflammatory markers in healthy adult men, SCIRJ:
Subjects were grouped as Group 1 and Group 2 according to VAI, and normals, overweights and obeses according to BMI.
1 The indefinite superlative forms are only used in the predicative. 2 Dated or archaic. 3 Only used, optionally, to refer to things whose natural gender is masculine.
R. J. Thomas, G. A. Bevan, P. J. Donovan, A. Hawke et al., editors (1950–present), “normal”, in Geiriadur Prifysgol Cymru Online (in Welsh), University of Wales Centre for Advanced Welsh & Celtic Studies