Can a digital system that represents all integers represent all rational numbers? all real numbers? [closed] - system

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Closed 10 years ago.
Can a digital system that represents all integers represent all rational numbers?
All real numbers?

This is not a question for here, but:
Yes for rational numbers, both rational and integers have the same cardinality
Not know for real numbers, the cardinality of real numbers is higher than the cardinality of integers. So, there may be systems that can represent all the integers but not all the real numbers (and some will represent both).

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Which data structure(s) do relational database systems use to store data? [closed]

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Closed 9 years ago.
Would you also describe the benefits of using the specific structures in the context of a database system? I was asked this in an interview.
B-trees. Hierarchical index, sorted keys and balanced tree enabling fast retrieval are the main benefits and coping well with large amounts of data and inserts/updates/deletes.

Big Data in Smalltalk? [closed]

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Closed 10 years ago.
With so many social networks, new services and ubiquitous computing the new age of big data is finally here and is difficult to imagine a future without huge amounts of data. It seems in languages like Java there are popular platforms like Hadoop with a great ecosystem.
I wonder what is the state of art in Smalltalk. Is anyone doing big data with Smalltalk? Any libraries, applications or experience reports? Recommendations or advices?

How many characters in obj-c/ios can I store in 128 kilobytes? [closed]

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Closed 10 years ago.
I want to store the data for my data objects in one long string. My string limit is 128k, so I was wondering just how many characters can I get into that?
Depends on encoding requirements.
• Do you really need an NSString compatible string?
• Is your data truly raw, 8 bit, data or does it have an encoding of its own?
Without answers to that, the assumption is an input of arbitrary data and an output that can be treated as a valid NSString. At that point, the typical answer is to use base64 encoding, of which Google will reveal multiple NSData -> NSString solutions.
With most encoders, the size of the result can vary depending on the format of the input. I.e. certain things encode into fewer bytes than others. Thus "maximum" may vary depending on input format and encoding algorithm employed.

A square root computing turing machine [closed]

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Closed 11 years ago.
I think i am close to this answer but still to confirm can we create a turing machine(At least in Principle) which can work on real number computation and give exact results?**For example finding square root of an integer.(whose output would be a real number)
My logic that we can't develop such a machine is that the real numbers are uncountably infinite and for uncountably infinite languages we can't create a turing machine.
I think the Turing machine can be made if you put some restriction on Precision (i.e. answer up to 4 or 5 decimal place). Then it is possible. Otherwise I feel it can't be made.

Which normalization form is commonly used? [closed]

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Closed 11 years ago.
In relational Databases, of course.
It depends on the reqquirment whcih normal form to use, Most of the people make use of 3NF.
But one thing is there as the normalization level increase joins will increase to get data from database server.