Sheaves and fiber bundles are different in general. For example the projection $ \mathbb {R}^2\rightarrow\mathbb {R} $ on the first factor is a (trivial) fiber bundle, but not a sheaf. The …

The fact that $-5$ is not an explicit constant expression like $24$, but the resultof applying a unary operator to "$5$", and that the value denoted by "$-5$" does not have any direct …

While they do start getting awkward quickly, the next few ordinals are fairly well-defined, largely because of their occasional usage in solving cubic and quartic equations and in defining …

Sep 8, 2015 · But working the other way around can also introduce the "problem", that is integration of the same function (and omitting the constant) may still produce a constant …

Dec 27, 2017 · Your question highlights a confusion that may arise when we do not distinguish between a variable or changing quantity, and an undetermined or unspecified constant …

I understand that a hyperbola can be defined as the locus of all points on a plane such that the absolute value of the difference between the distance to the foci is $2a$, the distance between …

May 16, 2020 · Should pi, the constant, be italicized or not? Ask Question Asked 5 years, 6 months ago Modified 5 years, 6 months ago

1 I understand that a hyperbola can be defined as the locus of all points on a plane such that the absolute value of the difference between the distance to the foci is $2a$, which is the distance …

1 Ok, so I know that if for a constant difference in x values, there is a constant different in y values (ie the 1st differences are all the same) then the data is linear. If the second differences …

A constant is basically a nullary operation, i.e. it inputs $0$ pieces of elements and outputs one element, so in practice, a constant will be a particular element in any structure ('incarnation') of …