Examples of 'supremum' in a sentence
Meaning of "supremum"
supremum: A mathematical term referring to the least upper bound of a set, often used in the context of ordered sets or functions
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- (real analysis): Given a subset X of R, the smallest real number that is ≥ every element of X; (order theory): given a subset X of a partially ordered set P (with partial order ≤), the least element y of P such that every element of X is ≤ y.
How to use "supremum" in a sentence
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supremum
Supremum and infimum of a function pdf free.
This set has a supremum but no greatest element.
The dual notion is called supremum.
This supremum might a priori be infinite.
Every subset has also a supremum.
We proposed a supremum score test to answer this question.
Find a sequence so that its image converges to the supremum of f.
Essential supremum and essential infimum.
A lattice is atomistic if every element is the supremum of some set of atoms.
The supremum of all strictly positive input distributions.
The width of a tree is the supremum of the cardinalities of its levels.
The supremum is in a precise sense dual to the concept of an infimum.
Infimum and supremum.
Infimum and supremum of the set of real numbers.
This iteration leads to separate estimates for both supremum and infimum of solutions.
See also
The supremum is given by the sum of ideals and the infimum by the intersection.
We also obtain the limit law of the supremum of the normalized local time.
The supremum is given by the union and the infimum by the intersection of subsets.
Any g which dominates the sequence must also dominate the pointwise supremum h supn fn.
The supremum is given by the sum of submodules and the infimum by the intersection.
A poset D is a dcpo if and only if each chain in D has a supremum.
Corimbion supremum is a species of beetle in the family Cerambycidae.
Here, the notation refers to the supremum function.
Predicting the ultimate supremum of a stable Lévy process with no negative jumps.
A poset is a sup-lattice if there is a supremum for every subset.
If the supremum exists, it is unique, meaning that there will be only one supremum.
Put more directly, it is the supremum of the set of smaller ordinals.
Every non-empty set of real numbers which is bounded from above has a supremum.
Hence, it is the supremum of the limit points.
The function of worshipping the supreme divinity, Numen supremum.
If a has a maximum, then it has a supremum which is equal to its maximum.
If the supremum of a subset S exists, it is unique.
For example, functions that preserve the empty supremum are those that preserve the least element.
It is the supremum ( least upper bound ) of all countable ordinals.
Be the set of upper bounds of f. Then the supremum of f is defined by.
Thus, the essential supremum and the essential infimum of this function are both 2.
Mathematically, the Chebyshev distance is a metric induced by the supremum norm or uniform norm.
Consequently, the supremum is also referred to as the least upper bound or LUB.
Be the set of essential upper bounds. Then the essential supremum is defined similarly as.
Then that supremum is denoted by ∞.
Complete lattices, where every set has a supremum and infimum, and.
And that, if this supremum exists, then so does, and the displayed equality holds.
A limit ordinal, such as ωω, is the supremum of all smaller ordinals.
Every non-empty subset of real numbers, which has an upper bound, has also a supremum.
However, if an infimum or supremum does exist, it is unique.
D is bounded complete, i.e. all subsets of D that have some upper bound have a supremum.
An upper bound b of S is called a supremum ( or least upper bound, or join ) of S if.
Hence, 0 is the least upper bound of the negative reals, so the supremum is 0.
It follows that the essential supremum is π/2 while the essential infimum is -π/2.
We define their Hausdorff distance by, formula 1where " sup " represents the supremum and " inf " the infimum.
