In Buddhist literature, this is an epithet applied to buddhas, most often to Śākyamuni. The Sanskrit term generally means “possessing fortune,” but in specifically Buddhist contexts it implies that a buddha is in possession of six auspicious qualities (bhaga) associated with complete awakening. The Tibetan term‍—where bcom is said to refer to “subduing” the four māras, ldan to “possessing” the great qualities of buddhahood, and ’das to “going beyond” saṃsāra and nirvāṇa‍—possibly reflects the commentarial tradition where the Sanskrit bhagavat is interpreted, in addition, as “one who destroys the four māras.” This is achieved either by reading bhagavat as bhagnavat (“one who broke”), or by tracing the word bhaga to the root √bhañj (“to break”).

In the general Mahāyāna teachings the mind of awakening (bodhicitta) is the intention to attain the complete awakening of a perfect buddha for the sake of all beings. On the level of absolute truth, the mind of awakening is the realization of the awakened state itself.

The Sanskrit ārya has the general meaning of a noble person, one of a higher class or caste. In Buddhist literature, depending on the context, it often means specifically one who has gained the realization of the path and is superior for that reason. In particular, it applies to stream enterers, once-returners, non-returners, and worthy ones (arhats) and is also used as an epithet of bodhisattvas. In the five-path system, it refers to someone who has achieved at least the path of seeing (darśanamārga).

The supernatural powers of a śrāvaka correspond to the first abhijñā: “Being one he becomes many, being many he becomes one; he becomes visible, invisible; goes through walls, ramparts and mountains without being impeded, just as through air; he immerses himself in the earth and emerges from it as if in water; he goes on water without breaking through it, as if on [solid] earth; he travels through the air crosslegged like a winged bird; he takes in his hands and touches the moon and the sun, those two wonderful, mighty beings, and with his body he extends his power as far as the Brahma world” (Śūraṃgamasamādhisūtra, trans. Lamotte 2003).

The great supernatural powers (maharddhi) of bodhisattvas are “causing trembling, blazing, illuminating, rendering invisible, transforming, coming and going across obstacles, reducing or enlarging worlds, inserting any matter into one’s own body, assuming the aspects of those one frequents, appearing and disappearing, submitting everyone to one’s will, dominating the supernormal power of others, giving intellectual clarity to those who lack it, giving mindfulness, bestowing happiness, and finally, emitting beneficial rays” (Śūraṃgamasamādhisūtra, trans. Lamotte 2003).

According to ancient Buddhist cosmology, this is the great mountain forming the axis of the universe. At its summit is Sudarśana, home of Śakra and his thirty-two gods, and on its flanks live the asuras. The mount has four sides facing the cardinal directions, each of which is made of a different precious stone. Surrounding it are several mountain ranges and the great ocean where the four principal island continents lie: in the south, Jambudvīpa (our world); in the west, Godānīya; in the north, Uttarakuru; and in the east, Pūrvavideha. Above it are the abodes of the desire realm gods. It is variously referred to as Meru, Mount Meru, Sumeru, and Mount Sumeru.

The five Pure Abodes are the highest heavens of the Form Realm (rūpadhātu). They are called “pure abodes” because ordinary beings (pṛthagjana; so so’i skye bo) cannot be born there; only those who have achieved the fruit of a non-returner (anāgāmin; phyir mi ’ong) can be born there. A summary presentation of them is found in the third chapter of Vasubandhu's Abhidharmakośa, although they are repeatedly mentioned as a set in numerous sūtras, tantras, and vinaya texts.

The five Pure Abodes are the last five of the seventeen levels of the Form Realm. Specifically, they are the last five of the eight levels of the upper Form Realm‍—which corresponds to the fourth meditative concentration (dhyāna; bsam gtan)‍—all of which are described as “immovable” (akopya; mi g.yo ba) since they are never destroyed during the cycles of the destruction and reformation of a world system. In particular, the five are Abṛha (mi che ba), the inferior heaven; Atapa (mi gdung ba), the heaven of no torment; Sudṛśa (gya nom snang), the heaven of sublime appearances; Sudarśana (shin tu mthong), the heaven of the most beautiful to behold; and Akaniṣṭha (’og min), the highest heaven.

Yaśomitra explains their names, stating: (1) because those who abide there can only remain for a fixed amount of time, before they are plucked out (√bṛh, bṛṃhanti) of that heaven, or because it is not as extensive (abṛṃhita) as the others in the pure realms, that heaven is called the inferior heaven (abṛha; mi che ba); (2) since the afflictions can no longer torment (√tap, tapanti) those who reside there because of their having attained a particular samādhi, or because their state of mind is virtuous, they no longer torment (√tap, tāpayanti) others, this heaven, consequently, is called the heaven of no torment (atapa; mi gdung ba); (3) since those who reside there have exceptional (suṣṭhu) vision because what they see (√dṛś, darśana) is utterly pure, that heaven is called the heaven of sublime appearances (sudṛśa; gya nom snang); (4) because those who reside there are beautiful gods, that heaven is called the heaven of the most beautiful to behold (sudarśana; shin tu mthong); and (5) since it is not lower (na kaniṣṭhā) than any other heaven because there is no other place superior to it, this heaven is called the highest heaven (akaniṣṭha; ’og min) since it is the uppermost.

In a general sense, samādhi can describe a number of different meditative states. In the Mahāyāna literature, in particular in the Prajñāpāramitā sūtras, we find extensive lists of different samādhis, numbering over one hundred.

In a more restricted sense, and when understood as a mental state, samādhi is defined as the one-pointedness of the mind (cittaikāgratā), the ability to remain on the same object over long periods of time. The Drajor Bamponyipa (sgra sbyor bam po gnyis pa) commentary on the Mahāvyutpatti explains the term samādhi as referring to the instrument through which mind and mental states “get collected,” i.e., it is by the force of samādhi that the continuum of mind and mental states becomes collected on a single point of reference without getting distracted.

A formula of words or syllables that are recited aloud or mentally in order to bring about a magical or soteriological effect or result. The term has been interpretively etymologized to mean “that which protects (trā) the mind (man)”.