This is not a universal definition. You may be confusing the verb with the noun.BTW we are talking about flashes, and not strobes, a strobe is something that flashes repeatedly on a specific, programmed frequency, for specific reasons. I guess people just thought 'strobe' sounded cooler, even if incorrect.
ADDED: this is one of those terms that has evolved with time. Originally, all the photographers had were continuous lights, or one-use flash bulbs. When Edgerton developed the Xenon flash tube in 1931, it was innovative because it could flash repeatedly, not just once...and could be used for stroboscopic effects to "stop" rotary motion, for example, once you got the flashing rate right. Strobe came the word used to describe a light that could flash repeatedly, whether it flashed repeatedly or not, as in strobing.
Today, in photography, "flash" and "strobe" are used interchangeably, because with the disappearance of flash bulbs there is no more confusion if you call something a flash.
Now, of course, we find folks that insist a strobe must flash repeatedly, or it is just a...well...flash. I bet they'd be surprised to discover that other terms have also evolved in photography. For example, the standard 35mm frame is 24x36mm...and is called 35mm because that is the width of the sprocketed film that was used for commercial film-making. That film was cheap and readily available. The frame size then was 18x24mm, so when the strip ran vertically in the camera or projector you had a horizontal rectangular image. When Barnack produced the first "35mm still camera" in 1912 and then Leica started commercial production in 1924, the film ran horizontally, so to keep a horizontal format the frame size was doubled to 24x36mm, and was thus called a double-frame size. Many years later some companies decided to make a smaller camera, so went back to 18x24mm, but by then the 24x36mm had become so common and standard that the new smaller cameras were called "half-frame cameras."