# large integer

## Definitions

• WordNet 3.6
• n large integer an integer equal to or greater than ten
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## Usage

### In news:

The Prime Number theorem says that the probability P(x) that a large integer x is prime is about 1/log x.
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### In science:

Fris] Fristedt, B., The structure of random partitions of large integers, Trans.
Random matrix theory over finite fields: a survey
Thus, not only large but also any positive integer values of N are meaningful. See, e.g., M. F.
Tails of probability density for sums of random independent variables
Fristedt, The structure of random partitions of large integers, Trans.
Random partitions with non negative rth differences
Hitczenko, P., Savage, C. D., On the multiplicity of parts in a random composition of a large integer, preprint, (1999). 10.
Expected number of distinct part sizes in a random integer composition
We then choose the linear size of our system, L, to be b to some integer power, n ≥ 2, depending on how large we want it to be.
Full reduction of large finite random Ising systems by RSRG
Proposition 19 Let k be a suﬃciently large positive integer and let A be a subset of an abelian group with |A| = k .
Counting sets with small sumset, and the clique number of random Cayley graphs
Corollary 20 Let k be a suﬃciently large positive integer and let A be a subset of an abelian group with |A| = k .
Counting sets with small sumset, and the clique number of random Cayley graphs
Indeed, the following lemma and its corollary show that for integer k ≥ γ + 1, and a large class of walks, G(k) t .
Degrees of transience and recurrence and hierarchical random walks
Let x ∈ E \ F be an integral element divisible by N ! (the product of the ﬁrst N integers) for a large rational integer N .
Generators for Arithmetic Groups
We may take N 0 = {n(y ) : yα ∈ pMα } for all α ∈ R(N ) for suﬃciently large integer vector M = (Mα )α∈R(N ) .
Generic Transfer for General Spin Groups
Choose vi ∈ Vσi , i = 1, 2 with Wvi (e) = 1 and let M be a large enough integer so that T 1 M ⊂ T ∩ Stab(vi ).
Generic Transfer for General Spin Groups
Let n be a large integer parameter, and let Mn denote a random n × n ±1 matrix (“random” meaning with respect to the uniform distribution, i.e., the entries of Mn are i.i.d.
On random $\pm 1$ matrices: Singularity and Determinant
As all large integers are in Γ, S is a ﬁnite set of non-negative integers.
A Minimal Groebner Basis for the Defining Ideals of Certain Affine Monomial Curves
Fristedt, The structure of random partitions of large integers, Trans.
The Limiting Distribution of the Trace of a Random Plane Partition
Mutafchiev, The size of the largest part of random plane partitions of large integers, Integers: Electron. J.
The Limiting Distribution of the Trace of a Random Plane Partition
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