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Wondering how to use Bolzano in a sentence? Below are 10+ example sentences from authentic English texts. Including the meaning and synonyms such as city or metropolis.

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Bolzano in a sentence

Bolzano meaning

A city and comune, the capital of the province of South Tyrol, Trentino-Alto Adige, Italy.

Synonyms of Bolzano

city metropolis urban center

Related words

Other words often associated with Bolzano or its synonyms:

municipality

Using Bolzano

  • The main meaning on this page is: A city and comune, the capital of the province of South Tyrol, Trentino-Alto Adige, Italy.
  • Useful related words include: city, metropolis, urban center.
  • In the example corpus, bolzano often appears in combinations such as: the bolzano, bolzano weierstrass, of bolzano.

Context around Bolzano

  • Average sentence length in these examples: 27.1 words
  • Position in the sentence: 3 start, 5 middle, 6 end
  • Sentence types: 14 statements, 0 questions, 0 exclamations

Often before:

interval 1× bernard 1×

Often after:

weierstrass 4× court 2× 1804 1× fair 1×

Sentence patterns with Bolzano

These short patterns come directly from the example sentences and show how the word is often embedded:

bolzano 1804 his 1× by a bolzano court 1× by bernard bolzano in 1817 1× for the bolzano fair 1957 1× given by bolzano in the 1× inequalities in bolzano s case 1× insight of bolzano and cauchy 1× of the bolzano weierstrass theorem 1×

Sentence openings and endings

Common sentence openings:

application to economics 1× bolzano 1804 his 1× high quality wood 1× in 2008 however 1× in fact general 1× she asked for 1×

Common sentence endings:

a bolzano court 1× be uniformly continuous 1× bolzano fair 1957 1× bolzano in 1817 1× bolzano s theorem 1× bolzano weierstrass theorem 1×

Words around Bolzano

Just before it in the word index:

bolyard 3 bolyai 3 boly 5 bolvangar 2 boluwatife 5 boluses 5

Just after it in the word index:

bom 49 boma 21 bomaderry 6 bomadi 3 boman 15 bomani 3

Similar in corpus frequency:

aat 18 abhorrence 18 abms 18 absolutes 18 absorbance 18 abule 18

Corpus analysis for Bolzano

  • In this selection, "bolzano" usually appears near the end of the sentence. The average example has 27.1 words, and this corpus slice is mostly made up of statements.
  • Around the word, interval, bernard, weierstrass, court and 1804 stand out and add context to how "bolzano" is used.
  • Recognizable usage signals include bolzano 1804 his and by a bolzano court. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "bolzano" sits close to words such as aat, abhorrence and abms, which helps place it inside the broader word index.

Example types with bolzano

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

This theorem was first proved by Bernard Bolzano in 1817. (10 words)

Bolzano 1804 His work was then used in the conception of barycentric coordinates by Möbius in 1827. (17 words)

The uniform limit of this sequence then played precisely the same role as Bolzano's "limit point". (17 words)

Longer example sentences

She asked for a DNA test on the remains, but experts believed that there was little chance of finding any trace. citation According to a report in the London Daily Telegraph in 2005 the rival claims were heard by a Bolzano court. (42 words)

The insight of Bolzano and Cauchy was to define a general notion of continuity (in terms of infinitesimals in Cauchy's case and using real inequalities in Bolzano's case), and to provide a proof based on such definitions. (39 words)

In fact, general topology tells us that a metrizable space is compact if and only if it is sequentially compact, so that the Bolzano–Weierstrass and Heine–Borel theorems are essentially the same. (33 words)

Example sentences (14)

The insight of Bolzano and Cauchy was to define a general notion of continuity (in terms of infinitesimals in Cauchy's case and using real inequalities in Bolzano's case), and to provide a proof based on such definitions.

Application to economics There are different important equilibrium concepts in economics, the proofs of the existence of which often require variations of the Bolzano–Weierstrass theorem.

Bolzano 1804 His work was then used in the conception of barycentric coordinates by Möbius in 1827.

High quality wood will have been air dried to rid it of its moisture. citation Standards for design, functionality and safety Installment by L. Gargantini for the Bolzano fair, 1957.

In 2008, however, Jarc stated for a Slovene newspaper that she wrote twice to the Bolzano court in regard to her claim but received no reply whatsoever.

In fact, general topology tells us that a metrizable space is compact if and only if it is sequentially compact, so that the Bolzano–Weierstrass and Heine–Borel theorems are essentially the same.

It can be proven by bisection method used in proving the Bolzano-Weierstrass theorem, the property (1) of ultrafilters turns out to be crucial.

She asked for a DNA test on the remains, but experts believed that there was little chance of finding any trace. citation According to a report in the London Daily Telegraph in 2005 the rival claims were heard by a Bolzano court.

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The Bolzano–Weierstrass theorem allows one to prove that if the set of allocations is compact and non-empty, then the system has a Pareto-efficient allocation.

The definition of uniform continuity appears earlier in the work of Bolzano where he also proved that continuous functions on an open interval do not need to be uniformly continuous.

The formal definition and the distinction between pointwise continuity and uniform continuity were first given by Bolzano in the 1830s but the work wasn't published until the 1930s.

The uniform limit of this sequence then played precisely the same role as Bolzano's "limit point".

This has two important corollaries : 1) If a continuous function has values of opposite sign inside an interval, then it has a root in that interval (Bolzano's theorem).

This theorem was first proved by Bernard Bolzano in 1817.

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Common combinations with bolzano

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "bolzano" in a sentence?
An example: "The insight of Bolzano and Cauchy was to define a general notion of continuity (in terms of infinitesimals in Cauchy's case and using real inequalities in Bolzano's case), and to provide a proof based on such definitions." This page contains 10+ example sentences with the word "bolzano" from authentic English texts.
What does "bolzano" mean?
Bolzano means: A city and comune, the capital of the province of South Tyrol, Trentino-Alto Adige, Italy.
What are synonyms of "bolzano"?
Common synonyms of "bolzano" include: city, metropolis, urban center.
How many example sentences with "bolzano" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "bolzano", drawn from a database of millions of English sentences.