The phrase "assert the following" is correct and usable in written English.
It can be used when you want to introduce a statement or claim that you are about to make.
Example: "In this report, I will assert the following: that climate change is a pressing global issue that requires immediate action."
Alternatives: "state the following" or "declare the following".
Setting a = b − 1 = 0 in (2.25) and (2.26), we find certain interesting identities and using (2.8), respectively, assert the following corollary.
It is simple to assert the following recursive relations: [b] (17) dupcost (w β ) = dupcost (w ) + dup, w ends with β, dupcost (w ), otherwise.
We assert the following equation: sup_{lambda>0}lambda d_{M^{c}f}(lambda) = lim_{gammarightarrowinfty}sup_{lambda>0}lambda d_{M^{c}_{gamma}f}( lambda) (3.18) holds for any (fin L^{1}(Bbb {R}^{n})) with (|f|_{L^{1}}neq0).
Specifically, it asserts the following: *Condoleezza Rice, Mr. Bush's national security adviser, gave Mr. Clarke "the impression she had never heard the term" Al Qaeda "when she first took office".
The cross-petition additionally asserts the following: No part of the fee except the sum of $1,003 has been paid and there is a balance due of $1,504.50, with interest from July, 191, the date the money was received by the trust company.
Nick Rowe sends me to Keen's latest, which asserts the following about New Keynesian models: Firstly, there are similar underlying principles to the DSGE models that now dominate Neoclassical macroeconomics, and as with Ptolemaic Astronomy, these underlying principles clearly fail to describe the real world.
The celebrated fixed point theorem of Banach asserts the following.
We asserted the following in [1, Theorem 2.9].
The Caristi's fixed point theorem asserts the following.
They imposed a compactness hypothesis on the operator S and some other properties on the operator (I-T), and then asserted the following result.
The traditional mode of authentication system asserts the following three elements as the foundation of authentication: "something you know," "something you have," and "something you are".
