The traditional approach used to study high energy beam propagation relies on the frozen field approximation. A minor modification of the frozen field approximation yields the set of equations applied to the analysis of the hose instability. These models are constrasted with the Darwin field approximation. A statement is made of the Darwin model equations relevant to the analysis of the hose instability.

Funeral program for Mrs. Sadie Johnson, died May 22, 1985. The funeral was held Saturday, May 25, 1985 at St. Joseph A.M.E. Church, officiated by Rev. H. H. Jones. Funeral arrangements were made through Lewis Funeral Home and she was buried in Meadowlawn Memorial Park in San Antonio, Texas.

Photograph of a historic property located at 408 N Church in McKinney, Texas.

Photograph of a historic property located at 711 N Church in McKinney, Texas.

Photograph of a historic property located at 519 W Hunt in McKinney, Texas.

Video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

B-roll video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

Video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

Video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

Video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

B-roll video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

Video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

B-roll video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

B-roll video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

B-roll video footage from the KXAS-TV/NBC station in Fort Worth, Texas, to accompany a news story.

Video footage from the WBAP-TV station in Fort Worth, Texas, to accompany a movie review about the James Bond film "A View to Kill." The footage includes only scenes from the film including Christopher Walken and Grace Jones.

Daily newspaper from Perry, Oklahoma that includes local, state, and national news along with advertising.

Photograph used for a story in the Daily Oklahoman newspaper. Caption: "Jesse Sullivant's house has been donated to the Boy Scouts"

Photograph used for a story in the Daily Oklahoman newspaper. Caption: "Santa Fe trail Daze street dance."

Photograph used for a story in the Daily Oklahoman newspaper. Caption: "Visiting are, from left, Phillip and Mary Newbold and Margaret and Jay Henry."

Photograph used for a story in the Daily Oklahoman newspaper. Caption: "Oklahoma State's Pete Incaviglia strokes a two-run double during the first inning Saturday night."

Photograph used for a story in the Daily Oklahoman newspaper. Caption: "At the preview are Bob and Donna Barth, left and Martha and Bill King."

Photograph used for a story in the Daily Oklahoman newspaper. Caption: "Prosecutor John Landon waves death knives during closing arguments."

Photograph used for a newspaper owned by the Oklahoma Publishing Company. Caption: "Thelma Drumb, left, stands ready to serve food while Pat Segal holds out two plates to hungry diners Saturday during the 15th annual Italian festival held in McAlester."