Search references for NORMAL MORPHISM. Phrases containing NORMAL MORPHISM
See searches and references containing NORMAL MORPHISM!NORMAL MORPHISM
Type of morphism
applications to mathematics, a normal monomorphism or conormal epimorphism is a particularly well-behaved type of morphism. A normal category is a category in
Normal_morphism
Map (arrow) between two objects of a category
and existence of an identity morphism for every object), and the outcome of the composition is a morphism. Morphisms and categories recur in much of
Morphism
Concept in algebraic geometry
finite if the inverse image of every point is finite and the morphism is proper. A morphism of varieties is birational if it restricts to an isomorphism
Normal_scheme
a scheme will be a scheme over some fixed base scheme S and a morphism an S-morphism. Contents: !$@ A B C D E F G H I J K L M N O P Q R S T U V W XYZ
Glossary of algebraic geometry
Glossary_of_algebraic_geometry
Scheme theory concept
mathematics, in particular in algebraic geometry, a flat morphism f from a scheme X to a scheme Y is a morphism such that the induced map on every stalk is a flat
Flat_morphism
Concept in mathematics
naturally the structure of a locally ringed space; a morphism between algebraic varieties is precisely a morphism of the underlying locally ringed spaces. If X
Morphism of algebraic varieties
Morphism_of_algebraic_varieties
Theorem of algebraic geometry and commutative algebra
normal point under a proper birational morphism is connected. A generalization due to Grothendieck describes the structure of quasi-finite morphisms of
Zariski's_main_theorem
Concept in algebraic geometry
an étale morphism (French: [etal]) is a morphism of schemes that is formally étale and locally of finite presentation; the étale morphism is connected
Étale_morphism
Generalization of the kernel of a homomorphism
kernels from algebra. Intuitively, the kernel of the morphism f : X → Y is the "most general" morphism k : K → X that yields zero when composed with (followed
Kernel_(category_theory)
Concept in algebraic geometry
morphism of schemes generalizes a morphism of algebraic varieties just as a scheme generalizes an algebraic variety. It is, by definition, a morphism
Morphism_of_schemes
Species of fish
(straight) mouth, but a morph with an upturned mouth is found locally in eastern Lake Natron, where it co-occurs with the normal morph. A. latilabris and A
Alcolapia_alcalica
Scheme in algebraic geometry
} In particular, if X → S {\displaystyle X\to S} is a smooth morphism, then the normal bundle to the diagonal embedding Δ : X ↪ X × S ⋯ × S X {\displaystyle
Normal cone (algebraic geometry)
Normal_cone_(algebraic_geometry)
Overview of and topical guide to category theory
Monomorphism Zero morphism Normal morphism Dual (category theory) Groupoid Image (category theory) Coimage Commutative diagram Cartesian morphism Slice category
Outline_of_category_theory
Quotient space of a codomain of a linear map by the map's image
between Hilbert spaces) is an object Q and a morphism q : Y → Q such that the composition q f is the zero morphism of the category, and furthermore q is universal
Cokernel
algebraic geometry, a contraction morphism is a surjective projective morphism f : X → Y {\displaystyle f:X\to Y} between normal projective varieties (or projective
Contraction_morphism
Species of bird
Birds intermediate between the normal morph and the white morph are known as Würdemann's heron; these birds resemble a "normal" great blue with a white head
Great_blue_heron
over a scheme S and if i is an S-morphism, then i is a regular embedding. In particular, every section of a smooth morphism is a regular embedding. If Spec
Regular_embedding
Singularities of algebraic varieties
birational morphism f from a smooth variety Y to X such that f is an isomorphism over X – S and the inverse image of S is a divisor with simple normal crossings
Normal_crossing_singularity
Species having two or more distinct forms
for classical genetics by John Maynard Smith (1998). The shorter term morphism was preferred by the evolutionary biologist Julian Huxley (1955). Various
Polymorphism_(biology)
Elements taken to zero by a homomorphism
identity morphisms. A zero object is an object of a category in which there exists exactly one morphism going to every object and exactly one morphism from
Kernel_(algebra)
Injective homomorphism
called a monic morphism or a mono) is a left-cancellative morphism. That is, an arrow f : X → Y such that for all objects Z and all morphisms g1, g2: Z →
Monomorphism
Mathematical mapping between objects arising from their definitions
closely related notion is that of a structure map or structure morphism: the map or morphism that comes with the given structure on the object. These are
Canonical_map
Isomorphism of an object to itself
some category, an automorphism is a morphism of the object to itself that has an inverse morphism; that is, a morphism f : X → X {\displaystyle f:X\to X}
Automorphism
Genus of birds
halli typically appear pale-eyed, while adults of M. giganteus of the normal morph typically appear dark-eyed (occasionally flecked paler). Classic examples
Giant_petrel
Species of carpet sharks
often be seen in adult sandy zebra sharks. This morph, which is genetically inseparable from the normal morph, is only known from the vicinity of Malindi
Zebra_shark
Species of snake
morphs, such as Nuclears (extreme red), High Whites and Reduced Patterns, for example. loveridgei subspecies "normal" morph Albino morph Stripe morph
Eryx_colubrinus
Sequence of homomorphisms such that each kernel equals the preceding image
morphism t : B → A {\displaystyle t:B\to A} such that t ∘ f {\displaystyle t\circ f} is the identity on A {\displaystyle A} . There exists a morphism
Exact_sequence
Structure-preserving map between two algebraic structures of the same type
category theory, an isomorphism is defined as a morphism that has an inverse that is also a morphism. In the specific case of algebraic structures, the
Homomorphism
Group of mathematical theorems
and morphisms whose existence can be deduced from the morphism f : G → H {\displaystyle f:G\rightarrow H} . The diagram shows that every morphism in the
Isomorphism_theorems
Type of category in category theory
will denote the projection morphisms, and ik will denote the injection morphisms. The diagonal morphism is the canonical morphism ∆: A → A ⊕ A, induced by
Additive_category
Category with direct sums and certain types of kernels and cokernels
abelian. Specifically: AB1) Every morphism has a kernel and a cokernel. AB2) For every morphism f, the canonical morphism from coim f to im f is an isomorphism
Abelian_category
Construct in algebraic geometry
smooth morphism vanishes. Furthermore, when any of the functors which extended the sequence of Kähler differentials were applied to a smooth morphism, they
Cotangent_complex
Long exact sequence
embedding of codimension d, Y' → Y a morphism and i': X' = X ×Y Y' → Y' the induced map. Let N be the pullback of the normal bundle of i to X'. Then the refined
Gysin_homomorphism
Formal semantics for non-classical logic systems
Kripke semantics are called p-morphisms (which is short for pseudo-epimorphism, but the latter term is rarely used). A p-morphism of Kripke frames ⟨ W , R
Kripke_semantics
Generalization of strings in computer science
z_{1}z_{3},\qquad y\equiv z_{2}z_{4}.} A dependency morphism (with respect to a dependency D) is a morphism ψ : Σ ∗ → M {\displaystyle \psi :\Sigma ^{*}\to
Trace_monoid
mathematics, the image of a morphism is a generalization of the image of a function. Given a category C {\displaystyle C} and a morphism f : X → Y {\displaystyle
Image_(category_theory)
Mathematical concept
resolution is a morphism that combines symplectic geometry and resolution of singularities. Let π : Y → X {\displaystyle \pi :Y\to X} be a morphism between complex
Symplectic_resolution
Mathematical function
the hyperplane normal to the space curve at t = c is also normal to the tangent at t = c. Any vector in this plane (p − a) must be normal to dr(t)/dt|t
Function_of_a_real_variable
Transformations induced by a mathematical group
G-maps. The composition of two morphisms is again a morphism. If a morphism f is bijective, then its inverse is also a morphism. In this case f is called an
Group_action
Aspect of category theory
categories with zero morphisms, one can define a cokernel of a morphism f as the coequalizer of f and the parallel zero morphism. In preadditive categories
Coequalizer
conditions the fibers of a morphism of varieties are connected. It is an extension of Zariski's main theorem to the case when the morphism of varieties need not
Zariski's connectedness theorem
Zariski's_connectedness_theorem
sends cartesian morphisms to cartesian morphisms. cartesian morphism 1. Given a functor π: C → D (e.g., a prestack over schemes), a morphism f: x → y in
Glossary_of_category_theory
Theorem in homological algebra
the connecting homomorphism. Furthermore, if the morphism f is a monomorphism, then so is the morphism ker a ⟶ ker b {\displaystyle \ker a~{\color
Snake_lemma
Mathematical theory in the field of algebraic geometry
theorems state that, given a proper flat morphism of schemes X → S {\displaystyle X\to S} , there exists a morphism S ′ → S {\displaystyle S'\to S} (called
Semistable_reduction_theorem
Mathematical category whose hom sets form Abelian groups
the composition of a zero morphism and any other morphism (on either side) must be another zero morphism. If you think of composition as analogous to multiplication
Preadditive_category
via category-theoretic techniques, and a notion of Drazin inverse for a morphism of a category, has been recently initiated by Cockett, Pacaud Lemay and
Drazin_inverse
Mathematical function between groups that preserves multiplication structure
h(G) is isomorphic to the quotient group G/ker h. The kernel of h is a normal subgroup of G. Assume u ∈ ker ( h ) {\displaystyle u\in \operatorname
Group_homomorphism
Algebraic structure in ring theory
faithfully flat quasi-compact morphism of schemes has this property.). See also Flat morphism § Properties of flat morphisms. A ring homomorphism R → S {\displaystyle
Flat_module
Mathematical parametrization of vector spaces by another space
That is, bundle morphisms for which the following diagram commutes: (Note that this category is not abelian; the kernel of a morphism of vector bundles
Vector_bundle
1993 video game
have found all 36 cogs the uncle can fix the machine and Morph can change back to his normal form, a boy. It is designed and written on Amiga and ST for
Morph_(video_game)
Category
coproducts, making them biproducts; given any morphism f: A → B in C, the equaliser of f and the zero morphism from A to B exists (this is by definition the
Pre-abelian_category
Branch of mathematics
b\to \operatorname {coker} c} Furthermore, if the morphism f is a monomorphism, then so is the morphism ker a → ker b, and if g' is an epimorphism, then
Homological_algebra
Moduli scheme of subschemes of a scheme, represents the flat-family-of-subschemes functor
natural morphism to an n-th symmetric product of M. This morphism is birational for M of dimension at most 2. For M of dimension at least 3 the morphism is
Hilbert_scheme
Concept in algebraic geometry
be a normal surface. A genus g {\displaystyle g} fibration f : X → B {\displaystyle f:X\to B} of X {\displaystyle X} is a proper flat morphism f {\displaystyle
Canonical_bundle
Family of beetles
Ptinellodes) are polymorphic, with two morphs so distinct that they appear to be different species or genera. There is a normal morph with well-developed eyes, wings
Ptiliidae
Species of bird
exclusively; they are of course perfectly interfertile with individuals of the normal morph however. The maroon-bellied parakeet is common in woodland, and forest
Maroon-bellied_parakeet
, XN]. A resolution is defined as minimal if the image in each module morphism of free modules φ:Fi → Fi − 1 in the resolution lies in JFi − 1, where
Homogeneous_coordinate_ring
Geometry definition file format
each vertex, the UV position of each texture coordinate vertex, vertex normals, and the faces that make each polygon defined as a list of vertices, and
Wavefront_.obj_file
of maps (or "morphisms"). The key result is: Chevalley's theorem. If f : X → Y {\displaystyle f:X\to Y} is a finitely presented morphism of schemes and
Constructible_set_(topology)
Algebraic variety with a group structure
\mathrm {H} } , respectively, into H {\displaystyle \mathrm {H} } ). A morphism between two algebraic groups G , G ′ {\displaystyle \mathrm {G} ,\mathrm
Algebraic_group
Generalisation of Jacobian variety
\operatorname {Alb} (V)} together with a morphism V → Alb ( V ) {\displaystyle V\to \operatorname {Alb} (V)} such that any morphism from V {\displaystyle V} to an
Albanese_variety
Species of snake
around a year old. For its first year, roughly, the snake presents with normal coloration before several scales will begin to turn white. Some keepers
Boaedon_capensis
is a canonical morphism r : Xred → X. Every morphism from X to a reduced analytic space factors through r. An analytic space is normal if every stalk
Analytic_space
Type of geometric transformation
fundamental transformation in birational geometry, because every birational morphism between projective varieties is a blowup. The weak factorization theorem
Blowing_up
Phenomenon in materials science
since each crystal morph is a phase of matter, this implies that under normal circumstances, there exists only a single crystal morph at thermodynamic equilibrium
Disappearing_polymorph
Concept in algebraic geometry
morphism has the property that L {\displaystyle L} is the pullback f ∗ O ( 1 ) {\displaystyle f^{*}{\mathcal {O}}(1)} . Conversely, for any morphism f
Ample_line_bundle
Tiger morph
The white tiger is a leucistic morph of the tiger, typically the Bengal tiger. White tigers have the typical black stripes of a tiger, but its coat is
White_tiger
Special type of lattice
Because such a morphism of lattices preserves the lattice structure, it will consequently also preserve the distributivity (and thus be a morphism of distributive
Distributive_lattice
Melanistic squirrel
Black morphs of the eastern gray and fox squirrels are the result of a variant pigment gene. Several theories have surfaced as to why the black morph occurs
Black_squirrel
Standard or referential form
describe a physical system at any given point in time Canonical map, a morphism that is uniquely defined by its main property Canonical polyhedron, a polyhedron
Canonical
Generalization of vector bundles
sections. Let f : X → Y {\displaystyle f:X\to Y} be a morphism of ringed spaces (for example, a morphism of schemes). If F {\displaystyle {\mathcal {F}}} is
Coherent_sheaf
Relationship between programs and proofs
\times \beta \to \gamma } is a morphism, λ t : α → β → γ {\displaystyle \lambda t:\alpha \to \beta \to \gamma } is a morphism. Equivalently to the annotations
Curry–Howard_correspondence
Algebraic structure used in logic
there is a unique morphism f′ : H/F → H′ satisfying f′pF = f. The morphism f′ is said to be induced by f. Let f : H1 → H2 be a morphism of Heyting algebras
Heyting_algebra
Order-preserving mathematical function
Comparability Graph Duality Filter Hasse diagram Ideal Net Subnet Order morphism Embedding Isomorphism Order type Ordered field Positive cone of an ordered
Monotonic_function
covariant Frobenius element Frobenius endomorphism (also known as Frobenius morphism, Frobenius map) Frobenius determinant theorem Frobenius formula Frobenius
List of things named after Ferdinand Georg Frobenius
List_of_things_named_after_Ferdinand_Georg_Frobenius
Concept from algebraic geometry
space). The linear functional t X {\displaystyle t_{X}} is called a trace morphism. A pair ( ω X , t X ) {\displaystyle (\omega _{X},t_{X})} , if it is exists
Dualizing_sheaf
Subgroup mapped to itself under every automorphism of the parent group
3 {\displaystyle f:\mathbb {Z} _{2}\rightarrow {\text{S}}_{3}} be the morphism mapping Z 2 {\displaystyle \mathbb {Z} _{2}} onto the indicated subgroup
Characteristic_subgroup
Surgery operation in minimal model program
a morphism to Y. If the relative canonical ring is finitely generated (as an algebra over O Y {\displaystyle {\mathcal {O}}_{Y}} ) then the morphism f
Flip_(algebraic_geometry)
Equivalence relation in algebra
group, the equivalence class containing the identity element is always a normal subgroup, and the other equivalence classes are the other cosets of this
Congruence_relation
Species of lizard
to 75 grams in weight, with females being slightly smaller than males. Normal coloring is brown and tan/beige stripes, with a possible thin white stripe
African_fat-tailed_gecko
Degradation of functioning of the brain
occur in the brain as individuals advance in age. It encompasses both the normal alterations which are universally experienced and abnormalities induced
Aging_brain
Kind of partial function between algebraic varieties
U ) {\displaystyle (f_{U},U)} in which f U {\displaystyle f_{U}} is a morphism of varieties from a non-empty open set U ⊂ V {\displaystyle U\subset V}
Rational_mapping
Type of algebraic structure
_{0}^{\infty }I^{n}/I^{n+1}} . A morphism f : N → M {\displaystyle f:N\to M} of graded modules, called a graded morphism or graded homomorphism , is a homomorphism
Graded_ring
which leaves no place for the separatist Mechanical City to exist. Because normal troops could not successfully attack the Mechanical City, he plans for the
List of The Legend of Qin episodes
List_of_The_Legend_of_Qin_episodes
Well-quasi-ordering of finite trees
Comparability Graph Duality Filter Hasse diagram Ideal Net Subnet Order morphism Embedding Isomorphism Order type Ordered field Positive cone of an ordered
Kruskal's_tree_theorem
Species of snake
under the ground in soil, amongst grass roots. A buff-striped keelback (normal form) The body of the snake The snake being held by the head The snake twisting
Buff_striped_keelback
Species of fish
dwarf, 'normal', and normal-sized anadromous fish, and Lake Ellasjøen on Bear Island has a dwarf, small littoral and large pelagic morph. In 2004, a previously
Arctic_char
Color variation of Tiger
caused by a recessive gene. Like white tigers and black tigers, it is a morph, and not a separate subspecies. Known for its blonde or pale-golden color
Golden_tiger
Projective variety that is also an algebraic group
abelian varieties carry the structure of a group. A morphism of abelian varieties is a morphism of the underlying algebraic varieties that preserves
Abelian_variety
Algebraic correspondence
In algebra, a normal homomorphism is a ring homomorphism R → S {\displaystyle R\to S} that is flat and is such that for every field extension L of the
Normal_homomorphism
Concept in algebraic geometry
morphism of schemes, which is roughly a morphism with smooth fibers. In particular, a scheme X is smooth over a field k if and only if the morphism X
Smooth_scheme
important applications in spectral theory. If C is a cone in a TVS X then C is normal if U = [ U ] C {\displaystyle {\mathcal {U}}=\left[{\mathcal {U}}\right]_{C}}
Ordered topological vector space
Ordered_topological_vector_space
Partially ordered set in which all subsets have both a supremum and infimum
meets if and only if it is an upper adjoint. As such, each join-preserving morphism determines a unique upper adjoint in the inverse direction that preserves
Complete_lattice
1992 Indian film
American Werewolf in London. Junoon makes use of morphing, a special effect in which an image changes (or morphs) into another, to transform a human face into
Junoon_(1992_film)
About direct sums and exact sequences
} Left split There exists a morphism t: B → A such that tq is the identity idA on A, Right split There exists a morphism u: C → B such that ru is the
Splitting_lemma
therefore 2-automatic, so by Cobham's little theorem there exists a 2-uniform morphism φ {\displaystyle \varphi } with fixed point w {\displaystyle w} and a coding
Rudin–Shapiro_sequence
Computer programming function
another object F A, and one that sends each morphism f : A → B {\displaystyle f:A\rightarrow B} to another morphism F f : F A → F B {\displaystyle Ff:FA\rightarrow
Map_(higher-order_function)
algébrique Fiber product of schemes Flat morphism Smooth scheme Finite morphism Quasi-finite morphism Proper morphism Semistable elliptic curve Grothendieck's
List of algebraic geometry topics
List_of_algebraic_geometry_topics
On chains and antichains in partial orders
Theorem 5.6, p. 60, ISBN 0-387-24219-8, MR 2127991. Lovász, László (1972), "Normal hypergraphs and the perfect graph conjecture", Discrete Mathematics, 2 (3):
Dilworth's_theorem
Species of snake
New variations, or morphs, become available every year as breeders gain a better understanding of the genetics involved. Normal / Carolina / Wildtype
Corn_snake
NORMAL MORPHISM
NORMAL MORPHISM
Female
English
English name derived from the gem name, from Latin corallium, probably ultimately from Hebrew goral, CORAL means "small pebble."
Boy/Male
Scottish American
From the north valley.
Girl/Female
Indian, Punjabi, Sikh, Telugu
Pure; Without Any Impurity
Boy/Male
Shakespearean
Hamlet, Prince of Denmark' Fortinbras, Prince of Norway.
Female
English
 Feminine form of English Norman, NORMA means "northman." Compare with another form of Norma.
Girl/Female
Latin American
Rule; pattern. Can also be a feminine form of Norman: from the North.
Boy/Male
Afghan, Arabic
Handsome
Male
English
English form of Norwegian Normund, NORMAND means "north protection."
Boy/Male
Biblical
Treasurer of Nergal.
Boy/Male
Assamese, Bengali, Celebrity, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Punjabi, Sikh, Sindhi, Tamil, Telugu, Traditional
Kindness; Clean; Pure; Talent Person; The One who is Pure
Female
Italian
 Italian name invented by Felice Romani in his libretto for Belini's opera of the same name, derived from Latin norma, NORMA means "standard, rule." Compare with another form of Norma.
Surname or Lastname
English, Irish (Ulster), Scottish, and Dutch
English, Irish (Ulster), Scottish, and Dutch : name applied either to a Scandinavian or to someone from Normandy in northern France. The Scandinavian adventurers of the Dark Ages called themselves norðmenn ‘men from the North’. Before 1066, Scandinavian settlers in England were already fairly readily absorbed, and Northman and Normann came to be used as bynames and later as personal names, even among the Saxon inhabitants. The term gained a new use from 1066 onwards, when England was settled by invaders from Normandy, who were likewise of Scandinavian origin but by now largely integrated with the native population and speaking a Romance language, retaining only their original Germanic name.French : regional name for someone from Normandy.Dutch : ethnic name for a Norwegian.Jewish (Ashkenazic) : variant of Nordman.Jewish : Americanized form of some like-sounding Ashkenazic name.Swedish : from norr ‘north’ + man ‘man’.Albert Andriessen Bradt, a settler in Rensselaerswijck on the upper Hudson River in NY, was originally from Norway and was known as de Norrman (‘the Norwegian’). The waterway south of Albany which powered his mills became known as the Normanskill (‘the Norman’s Waterway’), by which name it is still known today.
Male
Scottish
Scottish form of Irish Gaelic Cormac, CORMAG means "son of defilement."
Girl/Female
Indian
Soft
Boy/Male
French Teutonic American English German
From the north.
Biblical
treasurer of Nergal
Girl/Female
American, Australian, British, Chinese, Christian, Danish, English, Finnish, French, German, Latin, Swedish
From the North; Pattern; Courage; Norseman; Rule; Standard; Female Version of Norman
Boy/Male
Hindu
Clean, Pure
Male
English
English form of Teutonic Nordemann, NORMAN means "northman."
Boy/Male
American, Australian, French, Scottish
From the Northern Town
NORMAL MORPHISM
NORMAL MORPHISM
Boy/Male
British, English
Jehovah has been Gracious; Variant of Jane
Boy/Male
Celtic English
River man.
Girl/Female
Indian
Desire, Wish
Biblical
Mizpeh, a watch-tower; speculation
Girl/Female
Indian, Telugu
Clouds
Girl/Female
Australian, Jamaican
Aunt; Princess
Girl/Female
Arabic, Muslim, Sindhi
Arab Poetess
Girl/Female
African, American, Danish, French, German, Indian, Latin
Stony Place; Song
Boy/Male
Tamil
Emerald
Girl/Female
Arabic, Muslim
Wife of the Prophet Muhammad
NORMAL MORPHISM
NORMAL MORPHISM
NORMAL MORPHISM
NORMAL MORPHISM
NORMAL MORPHISM
a.
Both renal and portal. See Portal.
n.
See Wormil.
n.
See Wormil.
a.
Human; belonging to man, who is mortal; as, mortal wit or knowledge; mortal power.
a.
Pertaining to, or situated near, the back, or dorsum, of an animal or of one of its parts; notal; tergal; neural; as, the dorsal fin of a fish; the dorsal artery of the tongue; -- opposed to ventral.
n.
The quality, state, or fact of being normal; as, the point of normalcy.
a.
Done in due form, or with solemnity; according to regular method; not incidental, sudden or irregular; express; as, he gave his formal consent.
adv.
In a normal manner.
a.
According to a square or rule; perpendicular; forming a right angle. Specifically: Of or pertaining to a normal.
a.
Denoting certain hypothetical compounds, as acids from which the real acids are obtained by dehydration; thus, normal sulphuric acid and normal nitric acid are respectively S(OH)6, and N(OH)5.
a.
Of or pertaining to Normandy or to the Normans; as, the Norman language; the Norman conquest.
a.
Not according to rule; abnormal.
a.
Sound; normal.
a.
Alt. of Loral
a.
Denoting that series of hydrocarbons in which no carbon atom is united with more than two other carbon atoms; as, normal pentane, hexane, etc. Cf. Iso-.
a.
Serving to teach or convey a moral; as, a moral lesson; moral tales.
a.
According to an established norm, rule, or principle; conformed to a type, standard, or regular form; performing the proper functions; not abnormal; regular; natural; analogical.
n.
See Mormal.
a.
Having the form or appearance without the substance or essence; external; as, formal duty; formal worship; formal courtesy, etc.
a.
Northern; pertaining to the north, or to the north wind; as, a boreal bird; a boreal blast.