From the National Weather Service in Cheyenne:

A WIND CHILL WARNING REMAINS IN EFFECT UNTIL 10 AM MST today.

* TIMING...DANGEROUS WIND CHILLS THIS MORNING WILL IMPROVE
  SLIGHTLY THIS AFTERNOON BEFORE RETURNING TO DANGEROUS VALUES
  ONCE AGAIN AFTER SUNSET TONIGHT.

* WIND CHILL VALUES...35 TO 50 BELOW VALUES THIS MORNING WILL
  CLIMB TO 20 TO 30 BELOW THIS AFTERNOON. WIND CHILLS WILL RETURN
  TO 30 TO 40 BELOW ONCE AGAIN AFTER SUNSET TONIGHT.

* RECENT OBSERVATIONS...AT 3 AM THE FOLLOWING WIND CHILLS WERE
  BEING OBSERVED...33 BELOW AT RAWLINS...47 BELOW AT LARAMIE...46
  BELOW AT CHEYENNE...40 BELOW AT TORRINGTON...35 BELOW AT
  SCOTTSBLUFF...40 BELOW AT ALLIANCE...AND 43 BELOW AT SIDNEY.

* IMPACTS...OUTDOOR ACTIVITIES WILL BE EXTREMELY HAZARDOUS DUE TO
  THE FRIGID TEMPERATURES AND DANGEROUSLY LOW WIND CHILLS.

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