Below you will find example sentences with "lower bound". The examples show how this phrase is used in natural context and which words often surround it.

Lower Bound in a sentence

Corpus data

  • Displayed example sentences: 20
  • Discovered as a combination around: bound
  • Corpus frequency in the collocation scan: 11
  • Phrase length: 2 words
  • Average sentence length: 26.2 words

Words in this phrase

lower bound

Meanings of words in this phrase

  • lower can mean: comparative form of low: more low Common word
  • bound can mean: simple past and past participle of bind Frequent word

Sentence profile

  • Phrase position: 4 start, 10 middle, 6 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Usage patterns

These patterns show short text windows around the phrase in the example sentences:

a common lower bound 1× a greatest lower bound or an 1× a lower bound for the 1× a tight lower bound a greatest 1× a tight lower bound is not 1× and the lower bound of the 1× as the lower bound algorithm to 1× be a lower bound but not 1×

Sentence openings and endings

Common sentence openings:

a lower bound 1× a set s 1× a tight lower 1× again no tight 1× another check is 1× existence of an 1×

Common sentence endings:

a lower bound 2× 3 log 2 1× a maximal element 1× are similarly defined 1× assumption is unclear 1× channel for confluence 1×

Context words

These words often appear near this phrase in the example sentences:

set 5× low 5× infimum 4× upper 4× tight 3× greatest 3× log 3× algorithm 3× directed 3× channel 3× rates 3× similarly 2×

Related phrases

lower court upper bound lower manhattan cent lower lower rates lower levels bit lower lower portion significantly lower lower mississippi

Phrases around this combination

Just before it in the phrase index:

low tone low temperatures low string low resistance low quality low profile

Just after it in the phrase index:

lower court lower levels lower manhattan lower mississippi lower portion lower rank

Other phrases with the same pattern

Same start:

lower court lower manhattan lower rates lower levels lower portion lower mississippi

Same ending:

upper bound

Corpus analysis

  • The phrase "lower bound" has 2 words and usually appears in the middle in these examples. The average sentence has 26.2 words and is mostly made up of statements.
  • Around this phrase, patterns and context words such as a common lower bound, a greatest lower bound or an, set, low and infimum stand out.
  • In the phrase index, this combination connects with lower court, upper bound and lower manhattan, linking the page to nearby combinations.

Example types with lower bound

This selection groups the examples by length and sentence type, making usage of the full phrase easier to scan:

Short example sentences

The lower bound of the channel. (6 words)

Again, no tight lower bound has been proven. (8 words)

Worse still, the 350 figure is almost certainly merely a lower bound. (12 words)

Longer example sentences

A set S of real numbers is called bounded from above if there is a real number k such that k ≥ s for all s in S. The number k is called an upper bound of S. The terms bounded from below and lower bound are similarly defined. (48 words)

While the definition of a directed set is for an "upward-directed" set (every pair of elements has an upper bound), it is also possible to define a downward-directed set in which every pair of elements has a common lower bound. (42 words)

Inflation is expected to remain low in the coming months, and may even become negative, but it is expected to move back toward the lower bound of the target range in the second half of the year. (37 words)

Example sentences (20)

Similarly a lower bound is said to be a tight lower bound, a greatest lower bound, or an infimum if no greater value is a lower bound.

The number would be a lower bound but not the "greatest lower bound" and hence not the "Infimum".

Tajikistan is right on the edge, gaining just 0.84 percent in the paper’s “upper bound” scenario and dropping by 0.04 in the “lower bound” projection.

A set S of real numbers is called bounded from above if there is a real number k such that k ≥ s for all s in S. The number k is called an upper bound of S. The terms bounded from below and lower bound are similarly defined.

Pan (1986) proved an Ω(N log N) lower bound assuming a bound on a measure of the FFT algorithm's "asynchronicity", but the generality of this assumption is unclear.

Thus, the infimum or meet of a collection of subsets is the greatest lower bound while the supremum or join is the least upper bound.

While the definition of a directed set is for an "upward-directed" set (every pair of elements has an upper bound), it is also possible to define a downward-directed set in which every pair of elements has a common lower bound.

A tight lower bound is not known on the number of required additions, although lower bounds have been proved under some restrictive assumptions on the algorithms.

Advertentie

Existence of an infimum of a subset of can fail if has no lower bound at all, or if the set of lower bounds does not contain a maximal element.

In this case, we should see a pullback into the previous swing low level where we can also find the 50% Fibonacci retracement level and the lower bound of the channel for confluence.

Worse still, the 350 figure is almost certainly merely a lower bound.

The lower bound of the channel.

Inflation is expected to remain low in the coming months, and may even become negative, but it is expected to move back toward the lower bound of the target range in the second half of the year.

Nevertheless it is likely that what we have estimated represents a lower bound on credit channel eects.

When natural rates are low and policy rates are constrained by the lower bound, a more accommodative fiscal policy is needed to lift the economy out of a low-growth, low-inflation trap.

That’s fair, but I think if he has a good debate performance, he could still get closer to, say, Harris’s or Warren’s lower bound.

They're too far gone to make a run at getting rates materially off the lower bound and/or freeing up substantial room on the balance sheet over the next two years.

Again, no tight lower bound has been proven.

A lower bound for the denominator can be obtained by letting n/m be an optimal rational approximation to log(3)/log(2).

Another check is to use an algorithm such as the lower bound algorithm to estimate if this tour is good enough.

Advertentie