Noun:

ਰੁਕਾਵਟਾਂ, ਮੁਸ਼ਕਲ,

pullback's Usage Examples:

In a more general set-up the restrictions are replaced with pullbacks; fibred categories then make a good framework to discuss the possibility.

One can define the pullback of vector-valued forms by smooth maps just as for ordinary forms.

In mathematics, a pullback is either of two different, but related processes: precomposition and fiber-product.

This identification, called a canonical projection, \pi : M \rightarrow V is a mapping that sends each trajectory in M onto a point in V and induces a metric h -\lambda \pi*g on V via pullback.

coproduct mapping to A, and a morphism A" → A, the pullback is an I-indexed coproduct of the pullbacks: ( ∐ i ∈ I B i ) × A A ′ ≅ ∐ i ∈ I ( B i × A A ′.

forms along with the exterior derivative defined on it is preserved by the pullback under smooth functions between two manifolds.

In fact, given two pullbacks (A, a1, a2) and (B, b1, b2) of the same cospan X → Z ← Y, there is a unique.

from pullbacks and binary products (consider the pullback of (f, g) along the diagonal Δ), a category is complete if and only if it has pullbacks and products.

foliations is that they are closed under pullbacks.

The dual concept of the pullback is the pushout.

structures over foliations is that they are closed under pullbacks.

The converse, that two such pullbacks would have wedge 0, is immediate.

If f is a continuous map from X to Y then one can take pullbacks of foliations on Y provided.