Sentence examples for has finite limits from inspiring English sources
In the assumptions of Proposition 3.8 (i), the category (mathsf{R}(Phi )) has finite limits and colimits.
The category of (set-presented) formal topologies has good properties from a topological point of view: it has (finite) limits and (finite) colimits.
If (mathcal {C}) has finite limits, then (mathsf{Ind},mathcal {C}) also has finite limits, and for any morphism (f:langle I',X' rangle rightarrow langle I,X rangle ), the natural map begin{aligned} mathsf{colim}_I(X_i times _{langle I,X rangle } langle I',X' rangle ) rightarrow langle I',X' rangle end{aligned} (12.2 is an isomorphism.
(mathcal {C}) has finite limits and colimits, C and F are closed under retracts and compositions, C has a left-lifting property with respect to (F cap W), and (C cap W) has a left-lifting property with respect to F, in the sense of [39], and.
For the even k, let ζ k = e 2 π i k be any root of unity, we have the fact that pre-factor ( − q ; q ) ∞ of α ( − q ) vanishes at any even root of unity, while the α ( − q ) has finite limits.
The earth has finite limits... the fossil fuels of our economy are finite and diminishing.
then is twice continuously differentiable inside the infinite interval and at point zero, it has finite limit.
It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied.
Since T has no other equilibrium point except E 1, E 2 and E 3, this implies that the sequence { u n } has finite limit and v n → + ∞ as n → ∞.
A function f is called rd-continuous provided that it is continuous at right-dense points in (mathbb{T}), and has finite limit at left-dense points, and the set of rd-continuous functions are denoted by (C_{mathrm{rd}}(mathbb{T},mathbb{R})).
At points of S, the solutions have finite limits and are locally given by all the branches of one or more locally convergent Puiseux series (power series in ((beta -beta _0)^{1/p}) for some (p in {mathbb {Z}}_+)).
