Synonymer & Information om | Engelska ordet CONGRUENCE

Exempel på hur man kan använda CONGRUENCE i en mening

• For a congruence relation on a group, the equivalence class of the identity element is always a normal subgroup of the original group, and the other equivalence classes are precisely the cosets of that normal subgroup.
• Congruence subgroup, a subgroup defined by congruence conditions on the entries of a matrix group with integer entries.
• In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector space) that is compatible with the structure in the sense that algebraic operations done with equivalent elements will yield equivalent elements.
• Angle-side-side, condition in geometry that does not prove congruence of two triangles (also called SSA).
• To prove that the PQ is perpendicular to AB, use the SSS congruence theorem for QPA' and QPB' to conclude that angles OPA' and OPB' are equal.
• If n is an odd composite integer that satisfies the above congruence, then n is called an Euler–Jacobi pseudoprime (or, more commonly, an Euler pseudoprime) to base a.
• The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations.
• Another formulation is in terms of scissors congruence: two polygons are scissors-congruent if they can be decomposed into finitely many polygons that are pairwise congruent.
• In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.
• Recapitulation theory, a scientific theory influential on but no longer accepted in its original form by both evolutionary and developmental biology, namely, that the congruence in form between the same embryonic developmental stages of different species is evidence that the embryos are repeating the evolutionary stages of their ancestral history.
• An algebra is called congruence permutable if every pair of its congruences permutes; likewise a variety is said to be congruence-permutable if all its members are.
• The "congruence and proportionality" requirement of Boerne did not allow Congress to exceed the Court's interpretation of the Fourteenth Amendment.
• Since we are only interested in circles "up to congruence", we identify circles having different centers but the same radius, and so the radius alone suffices to parameterize the set of interest.
• There is also a collection of distinguished operators called Hecke operators on smooth functions on congruence covers, which commute with each other and with the Laplace–Beltrami operator and are diagonalisable in each eigenspace of the latter.
• There are several theorems that guarantee triangle congruence in Euclidean geometry, namely Angle-Angle-Side (AAS), Angle-Side-Angle (ASA), Side-Angle-Side (SAS), and Side-Side-Side (SSS).
• Earlier (1965) work of Michel Lazard, whose importance was not appreciated by the specialists in the field for about 20 years, had dealt with the case where K is the ring of p-adic integers and G is the pth congruence subgroup of.
• Moreover, remedial or prophylactic legislation still had to show "congruence and proportionality" between the end it aimed to reach (that is, the violations it aimed to correct), and the means it chose to reach those ends—that is, the penalties or prohibitions it enacted to prevent or correct those violations.
• In depositions of remains found near Uppland, most of the human bodies are of young males with healed bone trauma, a possible congruence with the sacrificed captives of war mentioned in the written corpus.
• Person-centered therapy seeks to facilitate a client's actualizing tendency, "an inbuilt proclivity toward growth and fulfillment", via acceptance (unconditional positive regard), therapist congruence (genuineness), and empathic understanding.
• Dual to the notion of invariants are coinvariants, also known as orbits, which formalizes the notion of congruence: objects which can be taken to each other by a group action.

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