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der of brown algae (class Phaeophyceae) with	isomorphic alternation of generations.
tween two graphs, then the graphs are called	isomorphic and we write .
can only be minors of each other if they are	isomorphic because any nontrivial minor operation remov
s (with the standard ordering) are not order	isomorphic, because, even though the sets are of the sa
rect product, but in the central product two	isomorphic central subgroups of the smaller groups are
A. Banyaga, On	Isomorphic Classical Diffeomorphism Groups.
mming languages that are high-level abstract	isomorphic copies of von Neumann architectures.
cted 1-dimensional Lie group is analytically	isomorphic either to the additive group of real numbers
pes; that is, they are convex polytopes with	isomorphic face lattices.
G1 and G2 are	isomorphic if and only if there exists a permutation ma
hitney, states that two connected graphs are	isomorphic if and only if their line graphs are isomorp
the graph, two labeled graphs are said to be	isomorphic if the corresponding underlying unlabeled gr
Tonnetz aligned with the notes of an	isomorphic keyboard.
However, if graphs that are	isomorphic may nonetheless be considered as distinct ob
For this approach there is a formal and	isomorphic method of transforming from the transition g
Also in this case, twisted curves are	isomorphic over the field extension given by the twist
SmartClient is an Ajax framework created by	Isomorphic Software.
are often considered equivalent if they have	isomorphic symmetry groups.
the same order type just when they are order	isomorphic, that is, when there exists a bijection f: X
e vertex-deleted subgraphs of two graphs are	isomorphic, then the corresponding vertices must have t
Every subordering is	isomorphic to an initial segment.
self-complementary graph is a graph that is	isomorphic to its own complement.
Any hypertree is	isomorphic to some family of subtrees of a tree.
: What is the largest induced subgraph of G1	isomorphic to an induced subgraph of G2?
he open interval (0,1) of rationals is order	isomorphic to the rationals (since
ar, every 1-dimensional Lie group is locally	isomorphic to R.
the trivial ring since every trivial ring is	isomorphic to any other (under a unique isomorphism).
Any totally ordered set that is not	isomorphic to R but satisfies (1) - (4) is known as a S
eory, every set-like extensional relation is	isomorphic to set-membership on a (non-unique) transiti
The curves obtained are	isomorphic to the starting curve over the field extensi
The Hasse diagram of this lattice is	isomorphic to the vertex-edge incidence graph of an ass
Its full automorphism group is	isomorphic to the dihedral group D8 of order 16, the gr
pentachoric [3,3,3] symmetry, of order 120,	isomorphic to the permutations of five elements, becaus
theorem states that any Boolean algebra B is	isomorphic to the algebra of clopen subsets of its Ston
This group is	isomorphic to A4, the alternating group on 4 elements,
Tietze's graph is	isomorphic to the graph J3, part of an infinite family
, then by the Mostowski collapse lemma it is	isomorphic to a transitive model of ZF and such a trans
Archimedean valued fields are isometrically	isomorphic to a subfield of the complex numbers with a
By construction, the ladder graph Ln is	isomorphic to the grid graph G2,n and looks like a ladd
egree φ(n) and its Galois group is naturally	isomorphic to the multiplicative group of units of the
lgebraic data types with one constructor are	isomorphic to a product type.
group by its level 2 congruence subgroup is	isomorphic to the alternating group of order 60 on 5 po
3) and (23), forming the symmetry group C3v,	isomorphic to S3.
Every Heyting algebra is	isomorphic to one of the form HT. To see this, let H be
in any infinite set of graphs, one graph is	isomorphic to a minor of another.
isometry group contains a subgroup which is	isomorphic to the (rotation) group SO(3) and the orbits
terms of the rotation group SO(2), which is	isomorphic to U(1).
ive graph and its full automorphism group is	isomorphic to the dihedral group of order 20, the group
d and demonstrated that the Moyal bracket is	isomorphic to the quantum commutator, and thus that the
e exists an integer n > 0 such that Fn(G) is	isomorphic to G.
ains an induced subgraph of at least k edges	isomorphic to an induced subgraph of G2 is NP-complete.
Its automorphism group has order 12, and is	isomorphic to the dihedral group D6, the group of symme
It is	isomorphic to the direct product of the symmetric group
weak order provided that the poset (X, ≤) is	isomorphic to a countable collection of sets ordered by
ry bisimulation-minimal set-like relation is	isomorphic to a unique transitive class.
e structure under the membership relation is	isomorphic to (X, R), and the isomorphism is unique.
mma: every well-founded set-like relation is	isomorphic to set-membership on a (non-unique, and not
Additionally, when a new type is declared as	isomorphic to an existing type, any type class instance
G1 is	isomorphic to an induced subgraph of G2 if there is an
other side, and k edges contains a subgraph	isomorphic to Ka,b.
case and one or more self-referential cases,	isomorphic to the data type.
an-Sims graph is a group of order 88,704,000	isomorphic to the semidirect product of the Higman-Sims
nd the lattice of its subvarieties is dually	isomorphic to the lattice of normal modal logics.
of dependency graphs (such as Petri nets) is	isomorphic to that of trace monoids, and thus, one can
uartic twist, one obtain four curves: one is	isomorphic to E, one is its quadratic twist, and only t
he state of the object would be identical or	isomorphic with the values accessible from the object's

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