AdamAdam is the name given in Genesis 1-5 to the first human. Beyond its use as the name of the first man, adam is also used in the Bible as a pronoun, individually as "a human" and in a collective sense as "mankind". tells of God's creation of the world and its creatures, including adam, meaning humankind; in God forms "Adam", this time meaning a single male human, out of "the dust of the ground", places him in the Garden of Eden, and forms a woman, Eve, as his companion; in Adam and Eve eat the fruit of the tree of knowledge and God condemns Adam to labour on the earth for his food and to return to it on his death; deals with the birth of Adam's sons, and lists his descendants from Seth to Noah.
Adam and EveAdam and Eve, according to the creation myth of the Abrahamic religions, were the first man and woman. They are central to the belief that humanity is in essence a single family, with everyone descended from a single pair of original ancestors. They also provide the basis for the doctrines of the fall of man and original sin that are important beliefs in Christianity, although not held in Judaism or Islam. In the Book of Genesis of the Hebrew Bible, chapters one through five, there are two creation narratives with two distinct perspectives.
Adam KadmonIn Kabbalah, Adam Kadmon (אָדָם קַדְמוֹן, ʾāḏām qaḏmōn, "Primordial Man") also called Adam Elyon (אָדָם עֶלִיוֹן, ʾāḏām ʿelyōn, "Most High Man"), or Adam Ila'ah (אָדָם עִילָּאָה, ʾāḏām ʿīllāʾā "Supreme Man"), sometimes abbreviated as A"K (א"ק, ʾA.Q.), is the first of Four Worlds that came into being after the contraction of God's infinite light. Adam Kadmon is not the same as the physical Adam Ha-Rishon. In Lurianic Kabbalah, the description of Adam Kadmon is anthropomorphic. Nonetheless, Adam Kadmon is divine light without vessels, i.
Abelian groupIn mathematics, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written. That is, the group operation is commutative. With addition as an operation, the integers and the real numbers form abelian groups, and the concept of an abelian group may be viewed as a generalization of these examples. Abelian groups are named after early 19th century mathematician Niels Henrik Abel.
Algebraic number theoryAlgebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and function fields. These properties, such as whether a ring admits unique factorization, the behavior of ideals, and the Galois groups of fields, can resolve questions of primary importance in number theory, like the existence of solutions to Diophantine equations.
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