The phrase "accordingly I know" is not correct and sounds awkward in written English.
It could be used in a context where you are trying to express that you have knowledge based on previous information or reasoning, but it would need rephrasing for clarity.
Example: "The evidence presented was compelling; accordingly, I know that my conclusion is valid."
Alternatives: "therefore I understand" or "thus I am aware".
Accordingly, I don't know whether the underlying math actually took only five minutes, but I can attempt some crude reverse engineering to complement the thoughtful analyses already done by others.
I have an unholy sense of humor, accordingly, I have been known to say outrageous things from time to time.
The judge said: "Accordingly, I find that Mr Ramsay knew, long before the entry into the agreement for lease and the lease of the [York & Albany] premises, that the machine was routinely used to place his signature on legal documents.
Understand what that means, and make your choices accordingly, but know this: Fight or Flight, there is no going back".
While it is a more dangerous drug to take than MDMA due to its potency and the ease with which overdosing is possible, if a user believes that is what they have taken, they can choose a dose accordingly, and know that there will be a longer lag between consumption and intoxication.
For instance, residents of Mtumba linked years with poor rains with low water table and early drying up of the wells and accordingly would know which years they were likely to suffer from water shortage in their SDWs (drying SDWs).
Accordingly, we know little about the long-term association between bullying involvement in adolescence and mental health outcomes and broader effects on development into young adulthood.
When the Here buds can understand the world around me and change accordingly to what they know I like, then I'm sold.
Accordingly, we also know little about the evolution and functional diversification of this important signaling pathway during animal history.
Accordingly, researchers still know relatively little about the effectiveness of new stress tech, or users' experiences in everyday life, or integrating into existing mental health interventions.
