Your English writing platform
Discover LudwigSuggestions(2)
Exact(1)
The following two lemmas are the immediate consequences of the inner product on H. Lemma 2.5.
Similar(59)
While the Movement could blame the rampant phantasmagoria of the unconscious for the war, phantoms which now ought to be repressed, Hughes saw the war as a consequence of the inner warps and wounds of the western mind, damage he felt ought to be faced and healed.
The following lemma is a direct consequence of the inner product.
The following lemma is an immediate consequence of the inner product on H. Lemma 2.4 For all x, y ∈ H, the inequality ∥ x + y ∥ 2 ≤ ∥ x ∥ 2 + 2 〈 y, x + y 〉 holds.
The polymeric shell often presents channels or pores as a consequence of the inner water extrusion due to osmotic forces.
A lower ATP production might be a consequence of disruption of the inner mitochondrial transmembrane potential in mutant cells.
Descartes insists that it is of no consequence whether the inner images of his theory (formed on the surface of the pineal gland, the Cartesian visual buffer) actually resemble the things they represent.
It not only reduces the quality of life [ 2], but can also have serious medical consequences such as inflammation of the inner lining of the gullet (esophagitis), recurrent pneumonia, bronchitis and cancer [ 3, 4].
Even the eminent, she says, show little sign of the inner consequences of outward affairs.
Doctoral dissertations have been written about the significance of respect, and the consequences of disrespect, in the inner city and, by extension, in hip-hop.
Both men and women suffer the consequences of a diminished inner life.
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