In mathematics, specifically in category theory, the Yoneda lemma is an abstract result on functors of the type "morphisms into a fixed object".
 It is a vast generalisation of Cayley's theorem from group theory (viewing a group as a particular kind of category with just one object).
 It allows the embedding of any category into a category of functors (contravariant set-valued functors) defined on that category.
 It also clarifies how the embedded category, of representable functors and their natural transformations, relates to the other objects in the larger functor category.
 It is an important tool that underlies several modern developments in algebraic geometry and representation theory.
 It is named after Nobuo Yoneda.
Category utility is a measure of "category goodness" defined in and .
 It attempts to maximize both the probability that two objects in the same category have attribute values in common, and the probability that objects from different categories have different attribute values.
 It was intended to supersede more limited measures of category goodness such as "cue validity" (; ) and "collocation index" .
 It provides a normative information-theoretic measure of the "predictive advantage" gained by the observer who possesses knowledge of the given category structure (i.e., the class labels of instances) over the observer who does "not" possess knowledge of the category structure.
 In this sense the motivation for the "category utility" measure is similar to the information gain metric used in decision tree learning.
 In certain presentations, it is also formally equivalent to the mutual information, as discussed below.
 A review of "category utility" in its probabilistic incarnation, with applications to machine learning, is provided in .
Uterine cancer or womb cancer is any type of cancer that emerges from the tissue of the uterus.
 It can refer to several types of cancer, with cervical cancer (arising from the lower portion of the uterus) being the most common type worldwide and the second most common cancer in women in developing countries.
 Endometrial cancer (or cancer of the inner lining of the uterus) is the second most common type, and fourth most common cancer in women from developed countries.
 Risk factors depend on specific type, but obesity, older age, and human papillomavirus infection add the greatest risk of developing uterine cancer.
 Early on, there may be no symptoms, but irregular vaginal bleeding, pelvic pain or fullness may develop.
 If caught early, most types of uterine cancer can be cured using surgical or medical methods.
 When the cancer has extended beyond the uterine tissue, more advanced treatments including combinations of chemotherapy, radiation therapy, or surgery may be required.
Hohenbergiopsis is a genus in the botanical family Bromeliaceae, subfamily Bromelioideae.
 The genus name is from the genus "Hohenbergia" and the Greek "opsis" (resembling) because it resembles the genus "Hohenbergia".
 It contains only one known species, Hohenbergiopsis guatemalensis, native to Oaxaca, Chiapas, and Guatemala.
A dagger symmetric monoidal category is a monoidal category formula_1 which also possesses a dagger structure; in other words, it means that this category comes equipped not only with a tensor in the category theoretic sense but also with dagger structure which is used to describe unitary morphism and self-adjoint morphisms in formula_2 that is, a form of abstract analogues of those found in FdHilb, the category of finite-dimensional Hilbert spaces.
 This type of category was introduced by Selinger as an intermediate structure between dagger categories and the dagger compact categories that are used in categorical quantum mechanics, an area which now also considers dagger symmetric monoidal categories when dealing with infinite-dimensional quantum mechanical concepts.
Hurricane Hugo was a powerful Cape Verde–type hurricane that caused widespread damage and loss of life in the Leeward Islands, Puerto Rico, and the Southeast United States.
 It formed over the eastern Atlantic near the Cape Verde Islands on September 9, 1989.
 Hugo moved thousands of miles across the Atlantic, rapidly strengthening to briefly attain category 5 hurricane strength on its journey.
 It later crossed over Guadeloupe and St. Croix on September 17 and 18 as a category 4 hurricane.
 Weakening slightly more, it passed over Puerto Rico as a strong category 3 hurricane.
 Further weakening occurred several hours after re-emerging into the Atlantic, becoming downgraded to a category 2 hurricane.
 However, it re-strengthened into a category 4 hurricane before making landfall just slightly north of Charleston, on Isle of Palms on September 21 with 140 mph sustained winds (gusts to more than 160 mph).
 It had devolved to a remnant low near Lake Erie by the next day.
 As of 2016, Hurricane Hugo is the most intense tropical cyclone to strike the East Coast north of Florida since 1900.
In mathematics, more specifically in category theory - internal categories are a generalisation of the notion of small category, and are defined with respect to a fixed ambient category.
 If the ambient category is taken to be the category of sets then one recovers the theory of small categories.
 In general, internal categories consist of a pair of objects in the ambient category - thought of as the 'object of objects' and 'object of morphisms', together with a collection of morphisms in the ambient category satisfying certain identities.
 Group objects, are common examples of internal categories.
Skin cancer, or neoplasia, is the most common type of cancer diagnosed in horses, accounting for 45 to 80% of all cancers diagnosed.
 Sarcoids are the most common type of skin neoplasm and are the most common type of cancer overall in horses.
 Squamous-cell carcinoma is the second-most prevalent skin cancer, followed by melanoma.
 Squamous-cell carcinoma and melanoma usually occur in horses greater than 9-years-old, while sarcoids commonly affect horses 3 to 6 years old.
 Surgical biopsy is the method of choice for diagnosis of most equine skin cancers, but is contraindicated for cases of sarcoids.
 Prognosis and treatment effectiveness varies based on type of cancer, degree of local tissue destruction, evidence of spread to other organs (metastasis) and location of the tumor.
 Not all cancers metastasize and some can be cured or mitigated by surgical removal of the cancerous tissue or through use of chemotherapeutic drugs.
Zamioculcas (common name "Zanzibar Gem", "Zuzu Plant" or Emerald Palm) is a genus of flowering plant in the family Araceae, containing the single species Zamioculcas zamiifolia.
 It is a tropical perennial plant native to eastern Africa, from Kenya south to northeastern South Africa.
 Dutch nurseries started wide-scale commercial propagation of the plant around 1996.
Fitkid (also "FitKid", "Fit Kid" or "Fit-Kid") is a type of children's sport combining gymnastics, dance and acrobatics.
 It originated in Europe in the 1990s, and is meant to engage children 8–18 years of age in fun individual and group exercise, free of the extremes of more strenuous aerobics or traditional gymnastics.
 International competitions are organized regularly by the "International FitKid Division", in addition to national competitions.
 A routine stands of four types of elements: strength, flexibility, acrobatics, and jumps.
 All elements are graded by difficulty from A to H.
 A elements being worth 0.1 points, B 0.2, C 0.3, and so on until H which is worth 0.8.
 Routines get evaluated in three categories: technique, artistry, and content (execution of elements).
 Competition is divided by age groups (I. to IX.
 (or Senior in A category)), and categories ( which are based on knowledge).
 There three categories (from hardest to easiest) A, B, and C, also called Dance.
 In each categories there are group and individual routines.
 In C Category (here group routines are also called Dance Show) team member can go from 4 to 8.
 In A and B category there are duos, small groups (3-4), and big groups (5-6).
 In C category, individually 4 elements have to be performed ( one from each type), A or B difficulty, and in groups, two are optional.
 In B category individually 8 elements need to be performed ( two from each type) A-D difficulty ( but max.
 two elements can be D), and in groups 4 (same as C category individual).
 In A category team and individual, 8 elements need to be performed (same as B category) and an acrobatic connection is optional.
 Skills in A category can be any difficulty.

Question: What type of category does Hohenbergiopsis and Zamioculcas have in common?
Answer: genus