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  1. The unitary executive theory is a legal theory in United States constitutional law which holds that the President of the United States possesses the power to control the entire federal executive branch. The doctrine is rooted in Article Two of the United States Constitution, which vests "the executive Power" of the United States in the President.

  2. Definition 1. A unitary operator is a bounded linear operator U : H → H on a Hilbert space H that satisfies U*U = UU* = I, where U* is the adjoint of U, and I : H → H is the identity operator. The weaker condition U*U = I defines an isometry. The other condition, UU* = I, defines a coisometry. Thus a unitary operator is a bounded linear ...

  3. en.wikipedia.org › wiki › JapanJapan - Wikipedia

    Japan is a unitary state and constitutional monarchy in which the power of the Emperor is limited to a ceremonial role. Executive power is instead wielded by the Prime Minister of Japan and his Cabinet , whose sovereignty is vested in the Japanese people. [113]

  4. Spain is just like the United Kingdom, a unitary state but with self-government areas (decentralised country with an asymmetric federalism ). This article should not be centered on the English speaking countries only. Spain has 17 Autonomous areas plus 2 autonomous cities located in North Africa, it acts de facto as a Federal State, called in ...

  5. May 20. Next time. 20 May 2024. ( 2024-05-20) Frequency. annual. Police in the Unity Day parade, 2019, Douala. The National Day ( French: Fête Nationale) of Cameroon, also known as Unitary State Day ( fête nationale de l'État unitaire ), is celebrated annually on 20 May. [1] [2] In a national referendum on 20 May 1972, Cameroonians voted for ...

  6. en.wikipedia.org › wiki › IndonesiaIndonesia - Wikipedia

    Indonesia, [a] officially the Republic of Indonesia, [b] is a country in Southeast Asia and Oceania between the Indian and Pacific oceans. It consists of over 17,000 islands, including Sumatra, Java, Sulawesi, and parts of Borneo and New Guinea. Indonesia is the world's largest archipelagic state and the 14th-largest country by area, at ...

  7. For any unitary matrix U of finite size, the following hold: Given two complex vectors x and y, multiplication by U preserves their inner product; that is, Ux, Uy = x, y . ). U is diagonalizable; that is, U is unitarily similar to a diagonal matrix, as a consequence of the spectral theorem.

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