Examples of using Proof can in English and their translations into Serbian
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Colloquial
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Ecclesiastic
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Computer
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Latin
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Cyrillic
This proof can be generalized to show that any root of any natural number is either a natural number or irrational.
Only a personal proof can bring clarity!
This proof can be generalized to show that any root of any natural number which is not the square of a natural number is irrational.
Only a personal proof can bring clarity!
Perhaps proof can be found not in the carvings on the wall of a tomb or in the words of an ancient document, but the most unlikely of places, the cells of the human body.
Only individual proof can bring security!
Proof can be in the form of a lost or stolen card report, bank statements and proof that the card holder was not in the location where the purchase was made during the time of the purchase.
Only a personal proof can bring reliability!
Heron(or Hero) of Alexandria found what is known as Heron's formula for the area of a triangle in terms of its sides, and a proof can be found in his book, Metrica, written around 60 CE.
Social proof can be work with well-known companies.
Only an individual proof can bring clarity!
An algebraic proof can be obtained using indicator functions(characteristic functions of subsets of a set).
Only an individual proof can bring certainty!
And they say proof can be found by examining a 500-year-old map depicting the continent… without any ice.
Only an individual proof can bring security!
What sort of further proof can be used when this is the most proven fact in the history of the world!
It turns out that the following is true(an elementary proof can be found in the book by Doyle and Snell).
What sort of further proof can be used when this is the most proven fact in the history of the world!
The formula is credited to Heron of Alexandria, and a proof can be found in his book, Metrica, written c.
For example, direct proof can be used to prove that the sum of two even integers is always even.
Kurt Gödel proved his second incompleteness theorem,which shows that such a consistency proof cannot be formalized within Peano arithmetic itself.
For example, direct proof can be used to establish that the sum of two even integers is always even: Consider two even integers x and y.
Some believe more proof can be found in our brains.
Now, obviously there can be no positive proof given to him that he is not in a dream,for the simple reason that no proof can be offered that might not be offered in a dream.
In practice, the chances of an error invalidating a computer-assisted proof can be reduced by incorporating redundancy and self-checks into calculations, and by developing multiple independent approaches and programs.
So the decision whether or not it is appropriate to make use of the axiom of choice in a proof cannot be made by appeal to other axioms of set theory.
It is generally recognised that reliable proof can only be obtained through experiments on laboratory animals.
Apart from this hypothetical possibility of a computer consistently giving an incorrect answer,the rest of our proof can be verified in the same way as traditional mathematical proofs.