A Real Vector Space is a Vector Space whose vectors are described by real numbers. We can describe our classical three-dimensional space as simply a Vector Space with three degrees of freedom – or dimensions. Such a space would be labeled: This…
read moreA scalar function is a function of one or more variables whose range is one-dimensional, as compared to a vector function, whose range is three-dimensional (or, in general, n-dimensional).
read moreA Vector Space is a set of vectors that may be added together and scaled. When we say they may be scaled, we mean that they may be multiplied by numbers called scalars. For example, we may multiply all of the vectors…
read moreA differentiable manifold may also be called a differential manifold. It is a type of manifold that is locally similar enough to a vector space that you can do calculus on it.
read moreLinear algebra, or Modern Algebra, is algebra with vector values – i.e. more than one parameter – in place of scalar values like numbers, which have a single scalar parameter. Linear means we can add and scale vectors.
read moreThe stress–energy tensor is a tensor physical quantity. A vector quantity is a tensor quantity that contains two components. A scalar quantity is a tensor quantity that contains only one component. These are special cases of tensors, being the simplest kind. But…
read moreThe Metric Tensor in General Relativity is a Set of 10 parameters ascribed to each point in space, the values of which describe the geometry of spacetime. Metric means “measure,” and a tensor is simply the higher dimensional analogue of vector, i.e….
read moreA variable is a symbol placeholder for a quantity that may change, or any mathematical object. Variables often represent a number, vector, matrix, function, argument, set, or element. If a variable does not actually vary, it is called a constant variable, or…
read moreJerk is the third derivative of position with respect to time .
read moreThe arrow indicates the quantity acceleration is a vector quantity. Related
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