Your English writing platform
Discover LudwigExact(3)
Several equivalent conditions for the minus ordering are established.
A similar consequence on the minus ordering is established as below.
Special attention is paid to the star ordering of a sum of two matrices and the minus ordering of matrix product.
Similar(56)
These agents act like mini ordering and delivery hubs, earning commission in the process.
The second partial ordering of interest is minus (rank subtractivity) ordering devised by Hartwig [4] and independently by Nambooripad [5].
It is easy to verify that, for a full column rank matrix C with proper size, the minus orders A ≤ ̄ B and C A ≤ ̄ C B are equivalent, but if C is not a full column rank matrix, this implication may be not true.
Theorem 7 Let A, C ∈ C m×n, and B, D ∈ C m×k be minus ordered as A ≤ ̄ C, B ≤ ̄ D. If R(C) ∩ R(D) = {0}, then A B ≤ ̄ C D. Proof.
hence, A B ≤ ̄ C D. The following statement can be deduced from Lemma 3. Theorem 8 Let A, C ∈ C m×n be minus ordered as A ≤ ̄ C, and B, D ∈ C m×k.
Percentage of items on menu you would consider ordering MINUS Percentage of items your partner would consider ordering TIMES Minutes it takes you to decide what you're having Choosing what you're going to have from a restaurant menu is almost as much fun as eating the food that comes out of the kitchen.
For a few days this spring, the place is echoing with a babble of different tongues, ordering mini Kerrys, standard Middletons and family-size Camerons.
The chapter describes the linear diffraction gratings, which produce two transmitted or reflected orders, the zeroth and (minus) first orders.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com