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dervast
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What a tensor is .? I have found a text in my book that says that the electric and magnetic constants are tensors.. Do u have something in mind?
Thx a lot
Thx a lot
No, that is not right. The dot product is not a tensor, nor is the result of a dot product a (0,2) tensor-it is a (0,0) tensor a.k.a. scalar.Tzar said:A tensor is simply a multilinear map (a map that's linear in each variable) from a vector space and the dual of the vector space to the Reals.
A very simple example is the dot product. It takes in two 2 vectors and gives a Real number.It is linear in both varibales. Thus the dot product is a (0 2) tensor.
You know that we can take several numbers and form a vector. Simmiliarly we can take N vectors of length N and produce an N by N matrix. One way we could do this is like this:dervast said:What a tensor is .? I have found a text in my book that says that the electric and magnetic constants are tensors.. Do u have something in mind?
Thx a lot
Swapnil said:Hi, I have been hearing/reading the word "tensor" a lot lately, but I have no idea what it is or what is it used for. I also googled for it but I get bogged down by so much coplicated mathematics that I am unable to make any sense of it. All I know that tensors have something to do with matrices and special relativity, no more no less. Could someone please just give me a gist of what tensors are?
I can't even begin to express the difficulty imagining this.mathwonk said:think of a taylor series expanded at each point of a space.
Electric and magnetic constants are physical quantities that describe the fundamental properties of electric and magnetic fields. They are used to calculate the strength and behavior of these fields in various situations.
Electric and magnetic constants are considered tensors because they have both magnitude and direction, and their values change depending on the coordinate system used to measure them. This makes them more complex than simple scalar quantities.
The main difference between electric and magnetic constants is that they describe different properties of the electromagnetic field. Electric constants, such as permittivity, describe the ability of a material to store electric charge, while magnetic constants, such as permeability, describe the ability of a material to support a magnetic field.
Electric and magnetic constants are related through the speed of light, which is a fundamental constant in physics. The relationship between electric and magnetic constants is described by Maxwell's equations, which govern the behavior of electromagnetic fields.
Electric and magnetic constants are important in science because they are used in a wide range of fields, including electromagnetism, electronics, and telecommunications. They are also crucial in understanding the behavior of light, which is an electromagnetic wave.