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hilbert space
A Banach space is a type of mathematical space that has certain properties that make it useful for solving certain types of problems. It is a type of abstract space that is made up of elements that can be added, subtracted, and multiplied. It is useful for studying problems related to functions, equations, and other mathematical objects.
This morning I woke up in a strange place called Hilbert Space. I didn't know which way to go and felt confused. Someone told me I wasn't a function like my friends, but I was considered a function that day. Later, something shapeless came to me and I sighed from the left. I felt like I had been there for a long time. Hilbert Space was a strange place where everyone was walking around in their underwear.
The Hilbert Space is a type of space where the distance between two points is measured. To give an example of a finite-dimensional Hilbert Space, we can look at real numbers (the product of two vectors, a and b, when multiplied together) and complex numbers (a combination of a complex number and another number, denoted by the letter i).
In the Hilbert space, the vectors have an unlimited number of components. For example, the vector <2,3,5> has 3 components and is in the space r^3. To be included in the Hilbert space, the length of the vector must be able to be calculated. The vector <1,2,4,8,16,..> is not included because its length cannot be calculated, but the vector <1,1/2,1/4,1/8,..> is included because its length can be calculated. (This is according to David Hilbert).
The theorem introduced the idea of space having more than three dimensions, which was a shock to people who were used to the traditional physics of the past, after the discovery of quantum physics.
hilbert space
hilbert space
A Banach space is a type of mathematical space that has certain properties that make it useful for solving certain types of problems. It is a type of abstract space that is made up of elements that can be added, subtracted, and multiplied. It is useful for studying problems related to functions, equations, and other mathematical objects.
hilbert space
A joke someone told at MIT said, "Do you know Hilbert? No? Then why are you in his space?" (said by Vaughn, July 31, 2005).
hilbert space
This morning I woke up in a strange place called Hilbert Space. I didn't know which way to go and felt confused. Someone told me I wasn't a function like my friends, but I was considered a function that day. Later, something shapeless came to me and I sighed from the left. I felt like I had been there for a long time. Hilbert Space was a strange place where everyone was walking around in their underwear.
hilbert space
The Hilbert Space is a type of space where the distance between two points is measured. To give an example of a finite-dimensional Hilbert Space, we can look at real numbers (the product of two vectors, a and b, when multiplied together) and complex numbers (a combination of a complex number and another number, denoted by the letter i).
hilbert space
In the Hilbert space, the vectors have an unlimited number of components. For example, the vector <2,3,5> has 3 components and is in the space r^3. To be included in the Hilbert space, the length of the vector must be able to be calculated. The vector <1,2,4,8,16,..> is not included because its length cannot be calculated, but the vector <1,1/2,1/4,1/8,..> is included because its length can be calculated. (This is according to David Hilbert).
hilbert space
The theorem introduced the idea of space having more than three dimensions, which was a shock to people who were used to the traditional physics of the past, after the discovery of quantum physics.