The phrase "according to assertion" is not commonly used in written English and may sound awkward.
It could be used in contexts where you want to reference a claim or statement made by someone, but it is better to use more standard expressions.
Example: "According to assertion, the results of the study were inconclusive."
Alternatives: "according to the claim" or "as stated by".
Hence, (mu : [0,T] rightarrow big ( mathcal{M}({{mathbb R}^{N}}), {d_mathcal{M}}big )) is continuous according to assertion (2) of Proposition 40.
When (7) does not hold, the gene could not have been lost in the parent, according to Assertion 4, thus only (2') is applicable.
Then the situation depends on whether or not the COG overlaps the cluster of the parent's descendants, according to Assertion 4. If the parent t and COG C satisfy (7), then we have two alternative scenarios: (a) the gene has been lost in the parent, or (b) the gene has not been lost in the parent.
Ben Quinn And this on Lembit Opik Former Liberal Democrat MP Lembit Opik told the US ambassador that Nick Clegg was thin-skinned, overly reliant on cronies, and stole one of his ideas, according to assertions attributed to Opik in a leaked diplomatic dispatch from March 2008.
In Florida, contractors working for Chase Bank used a screwdriver to enter Debra Fischer's house in Punta Gorda and helped themselves to a laptop, an iPod, a cordless drill, six bottles of wine and a frosty beer, left half-empty on the counter, according to assertions in a lawsuit filed in August.
According to assertions in legal papers filed later, the two, an active Florida state trooper and a martial arts trainer, said they were the "silent partners" of Gerald Tucci and his son Michael, who had both invested in a Ribotsky hedge fund.
According to one assertion in a document filed by the defense lawyers, his mother once stabbed his father with a kitchen fork.
Abraham Geiger remarked the following concerning the claim that Jews believed Ezra to be the son of God: "According to the assertion of Muhammad the Jews held Ezra to be the Son of God.
Hence, the herbal preparation can be said to be safe when administered orally according to the assertion of Clarke and Clarke [ 34] that a substance that does not produce lethality up to 10 g/kg orally is relatively non-toxic.
Two ahead of Mrs. Nagle is Mrs. Matthew Kenney, according to the assertions of Mrs. Kenney's husband.
Remark 5.5 According to the assertions of Theorem 5.4 resp.
