The phrase "a new way when" is not correct and does not convey a clear meaning in written English.
It seems to be an incomplete thought and lacks context to be usable.
Example: "We need to find a new way when approaching this problem."
Alternatives: "a different approach when" or "an alternative method when".
The correlated chaos is introduced, which not only provides us a new way when making initialization for chaotic maps, but also takes fully use of chaotic maps.
Someday your smartphone might be able to help you in a new way when you're traveling: by telling you whether the water is safe to drink.
I learned this in a new way, when one of my tweets about Isis and Islam went viral on "Muslim Twitter".
The Caterpillar will smoke his hookah in a new way when you tilt your iPad, or you can throw more pepper the second time around.
Landscape, which was an important background feature in many Renaissance reliefs (notably those of Ghiberti) and, as sculptured rocks, appeared in a number of Baroque fountains, entered into sculpture in a new way when Henry Moore combined the forms of caves, rocks, hills, and cliffs with the human form in a series of large reclining figures.
My heart broke in a new way when I read that Gov. George E. Pataki, in answering a question about how his budget plans would respond to altering the systems for tracing 911 calls, said, "I don't think it's worthy of comment".
She commented that the troubles in writing the song came because "Dre was really pushing me to write in a new way", but when she presented him with the song, "he just totally tricked the track out".
So often all we know of a poem is what we see on the page, and that's a shame really, because there are so many different ways to experience what a poem has to say, and often a poem comes to signify in new ways when we listen to it.
I can empathize in new ways when class is a challenge for my clients, because of illness, injury or lack of physical fitness.
We don't know what real women look like any more and women who do have the courage to 'go grey' could be role models for younger women as a new way to be". When our grandchildren reach the age when they can understand that comments about our looks hurt our feelings, then it's time to have a more serious conversation.
I discover myself in so many new ways when I sit holding a child.
