Question: Are Alangium and Howea both examples of a genus of palms?

full_context: Document 1: Freycinetia arborea: Freycinetia arborea, ʻ Ieʻ ie, is a densely branched, brittle, woody climber in the family Pandanaceae, endemic to the Pacific Islands. "ʻ Ieʻ ie" is found in moist forest on the Hawaiian, Marquesas, Austral, Society, and Cook Islands. It grows into the forest canopy, attaching itself to a host tree using aerial roots. It may also grow as a sprawling tangle on the forest floor. The shiny green leaves have pointed ends and are spiny on the lower side of the midrib and along the edges. Leaves measure 40 - long and 1 - wide, and are spirally arranged around the ends of branches. Flowers form on spike-like inflorescences at the end of branches, and are either staminate or pistillate. Staminate spikes are yellowish-white and up to 10 cm in length. Pistillate spikes are 3 - but elongate to 7.5 - once fruit are produced. Three to four spikes are surrounded by orange-salmon bracts. Fruit is 1 cm long and contains many 1.5 mm seeds. The bracts and fruit of the "ʻ ieʻ ie" were a favorite food of the "ʻ ōʻ ū" ("Psittirostra psittacea"), an extinct Hawaiian honeycreeper that was formerly a principal seed dispersal vector for plants with small seeded, fleshy fruits in low elevation forests. It is also a favored food of the "ʻ alalā" ("Corvus hawaiiensis"), which is currently extinct in the wild.
Document 2: Arenga: Arenga is a genus of palms, native to Southeast Asia, southern China, New Guinea, and northern Australia. They are small to medium-sized palms, growing to 2–20 m tall, with pinnate leaves 2–12 m long. Arenga palms can grow in areas with little sunlight and relatively infertile soil.
Document 3: Howea: Howea is a genus of two palms, "H. belmoreana" and "H. forsteriana", both endemic to Lord Howe Island, Australia. "H. forsteriana" in particular is commonly grown as an indoor plant in the Northern Hemisphere, and the two species form the mainstay of the island's palm seed industry and more importantly its trade in newly germinated seedlings. The palms are also cultivated on Norfolk Island, where seeds are produced for export.
Document 4: Hovea: Hovea (Purple pea) is a genus of perennial shrubs which are native to Australia. Species from this genus are occasionally cultivated as ornamental plants. The genus name honours Anton Pantaleon Hove, a Polish plant collector.
Document 5: Oleaceae: The Oleaceae are a family of flowering plants in the order Lamiales. It presently comprises 26 genera, one of which is recently extinct. The 25 extant genera include "Cartrema", which was resurrected in 2012. The number of species in the Oleaceae is variously estimated in a wide range around 700. The Oleaceae consist of shrubs, trees, and a few lianas. The flowers are often numerous and highly odoriferous. The family has a subcosmopolitan distribution, ranging from the subarctic to the southernmost parts of Africa, Australia, and South America. Notable members of the Oleaceae include olive, ash, jasmine, and several popular ornamental plants including privet, forsythia, fringetrees, and lilac.
Document 6: Diapensiaceae: Diapensiaceae is a small family of flowering plants, comprising 12 species in five genera. Three of the genera, "Berneuxia", "Galax", and "Pyxidanthera", contain only a single species. The Asian species of "Shortia" were formerly separated as the genus "Schizocodon", and some authors still recognize "S. soldanelloides" under that name. Another genus, "Diplarche", was included in the family by some authors but is now regarded as a member of Ericaceae.
Document 7: Hakea: Hakea (pincushion tree) is a genus of 149 species of shrubs and small trees in the Proteaceae, native to Australia. They are found throughout the country, with the highest species diversity being found in the south west of Western Australia.
Document 8: Paulownia: Paulownia is a genus of six to 17 species (depending on taxonomic authority) of flowering plants in the family Paulowniaceae, related to and sometimes included in the Scrophulariaceae. They are present in much of China, south to northern Laos and Vietnam and are long cultivated elsewhere in eastern Asia, notably in Japan and Korea. They are deciduous trees 12 – tall, with large, heart-shaped leaves 15–40 cm across, arranged in opposite pairs on the stem. The flowers are produced in early spring on panicles 10–30 cm long, with a tubular purple corolla resembling a foxglove flower. The fruit is a dry capsule, containing thousands of minute seeds.
Document 9: Alangium: Alangium is a small genus of flowering plants. The genus is included either in a broad view of the dogwood family Cornaceae, or as the sole member of its own family Alangiaceae. "Alangium" has about 40 species, but some of the species boundaries are not entirely clear. The type species for "Alangium" is "Alangium decapetalum", which is now treated as a subspecies of "Alangium salviifolium". All of the species are shrubs or small trees, except the liana "Alangium kwangsiense". "A. chinense, A. platanifolium", and "A. salviifolium" are known in cultivation.
Document 10: Alismataceae: The water-plantains (Alismataceae) are a family of flowering plants, comprising 11 genera and between 85 and 95 species. The family has a cosmopolitan distribution, with the greatest number of species in temperate regions of the Northern Hemisphere. Most of the species are herbaceous aquatic plants growing in marshes and ponds.
Document 11: Alpinia: Alpinia is a genus of flowering plants in the ginger family, Zingiberaceae. It is named for Prospero Alpini, a 17th-century Italian botanist who specialized in exotic plants. Species are native to Asia, Australia, and the Pacific Islands, where they occur in tropical and subtropical climates. Several species are cultivated as ornamental plants. Species of the genus are known generally as shell ginger.
Document 12: Baumea: Baumea is a genus of the sedge family, which includes around 30 species native to Madagascar and the Pacific Islands, with 15 species in Australia. All are perennial rhizomatous herbs, with leaves and stems very similar in appearance. The inflorescence is terminal, with the flowers tightly clustered or loosely arranged. The fruits are small nuts.
Document 13: Austrobaileyales: Austrobaileyales is an order of flowering plants, consisting of about 100 species of woody plants growing as trees, shrubs and lianas. Perhaps the most familiar species is "Illicium verum", from which comes the spice star anise. The order belongs to the group of basal angiosperms, the ANA grade, which diverged earlier from the remaining flowering plants, and, as such, it is the extant group after the Amborellales and Nymphaeales, that is sister to all remaining extant angiosperms outside of the ANA grade. The order includes just three families of flowering plants, the Austrobaileyaceae, a monotypic family containing the sole genus, "Austrobaileya scandens", a woody liana, the Schisandraceae, a family of trees, shrubs, or lianas containing essential oils, and the Trimeniaceae, essential oil-bearing trees and lianas.
Document 14: Chloranthaceae: Chloranthaceae is a family of flowering plants (angiosperms), the only family in the order Chloranthales. It is not closely related to any other family of flowering plants, and is among the early-diverging lineages in the angiosperms. They are woody or weakly woody plants occurring in Southeast Asia, the Pacific, Madagascar, Central and South America, and the West Indies. The family consists of four extant genera, totalling about 77 known species according to Christenhusz and Byng in 2016. Some species are used in traditional medicine. The type genus is "Chloranthus".
Document 15: Macadamia: Macadamia is a genus of four species of trees indigenous to Australia and constituting part of the plant family Proteaceae. They are native to north eastern New South Wales and central and south eastern Queensland. The tree is commercially important for its fruit, the macadamia nuts (or simply "macadamia"). Other names include Queensland nut, bush nut, maroochi nut, bauple nut, and Hawaii nut. In Australian Aboriginal languages, the fruit is known by names such as "bauple", "gyndl", "jindilli", and "boombera". Previously, more species with disjunct distributions were named as members of this genus "Macadamia". Genetics and morphological studies more recently published in 2008 show they have separated from the genus "Macadamia", correlating less closely than thought from earlier morphological studies. The species previously named in the "Macadamia" genus may still be referred to overall by the descriptive, non-scientific name of macadamia; their disjunct distributions and current scientific names are:
ground_truth: no