Sentence examples for Trivially since from inspiring English sources

This follows trivially since \(A\)'s initial choice prescribed by her strategy at \(w\) makes it impossible for \(B\) to move.

In particular, condition (1) holds trivially since D α ( T 1 x, T 2 y ) = 0 for all x, y ∈ X.

First of all, it is easy to observe that the base case holds somewhat trivially since we calculate y(1 -y(0)=y(1 -y0, due to the fact that (y(0)=y), by assumption, and the fact that (y(1 ge00), also by assumption.

Given the founder genotypes, the founder haplotypes can be obtained trivially since all founders are fully inbred.

The uniform prior used in this paper does not result in a nearly degenerate prior for the ICC, is not affected by scale changes in the data, and is not sensitive to user-defined parameter choices (trivially, since there are none).

For n = 1, the conjecture is trivially true since any compact, closed, simply connected, one-dimensional manifold is homeomorphic to the circle.

If J = 0, then (27) is trivially valid, since 0 < ∥ a ∥ p, Φ < ∞ ; if J = ∞, then it is a contradiction since the right hand side of (27) is finite.

If (H) is isomorphic to a graph (K^k_i in mathcal K ^k_i), for some (iin mathbb N ), then its weighted chromatic number is trivially (k), since it is a complete graph whose sum of weights is equal to (k).

This assignment satisfies conditions C.1-C.3: C.1 is trivially satisfied since for any source S i, there exists at least one value of j such that (mathbf {T}_{mathsf {S}_{i}}(j) = 1phantom {dot {i}!}).

But if the premises of a moral argument are not truth-apt if truth-apt ifantheylly incareble of truth or falsemanticallyl moral arguments, no matter how obvincapablellofical" truthmay appear, will be trivially valid, since the premises cannor be true!

There is a concern that including the non-objectivism clause threatens to make moral anti-realism trivially true, since there is little room for doubting that the moral status of actions usually (if not always) depends in some manner on mental phenomena such as the intentions with which the action was performed or the episodes or pleasure and pain that ensue from it.