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var resizable = function(that){

var resizeSelector = '#'+that.attr('id')+' .resize';

that.addClass("resize"); // Adding dummy class 'resize' to select resizable child elements using the above selector.

that.resizable({

    alsoResize: resizeSelector,

    maxHeight: 600,

   maxWidth:600,

   minHeight: 35,

   minWidth:35

    })

};

The child elements are given the above resizable attributes. Resizing beyond the minimum width of the child element is not restrained when resizing the parent div. 

Thanks,

Jim