When Mrs. Gardner -- no Bostonian would dream of calling her Isabella -- died in 1924, she bequeathed the museum that had been her home to the city on the condition that it remain intact and unchanged, with no object taken from or added to the collection, and nothing shifted -- not a chair, not a vase -- within the rooms themselves.
The transformations that leave an object unchanged are called the symmetry transformations for that object.
Overall, the analysis confirmed the predicted bias of Westerners fixating longer on objects compared to East Asians when objects remained unchanged.
Taken together, the pictures and other data showed Eros to be a primitive object, seemingly unchanged since the birth of the solar system except for its surface, which was cratered and crushed into rubble by billions of years of meteoritic impacts.
The object remains unchanged after the transformation precisely if it is symmetric with respect to that transformation.
The isotropic peak, characteristic of small objects, was unchanged after treatment, demonstrating that the SUVs did not fuse to one another at higher temperatures.
Topology, the youngest and most sophisticated branch of geometry, focuses on the properties of geometric objects that remain unchanged upon continuous deformation shrinking, stretching, and folding, but not tearing.
One of the problems in background updating is the objects that remain unchanged in the scene for a long time.
In addition, existing clustering approaches usually analyze static datasets in which objects are kept unchanged after being processed; however many practical datasets are dynamically modified which means some previously learned patterns have to be updated accordingly.
A symmetry is a transformation of some structure or object which leaves it unchanged in some respect.
