Significance of Odd number
Synonyms: Uneven number
The below excerpts are indicatory and do represent direct quotations or translations. It is your responsibility to fact check each reference.
Hindu concept of 'Odd number'
In Hinduism, odd numbers symbolize auspiciousness and are integral to rituals, particularly inviting Brahmanas, indicating good fortune, and defining specific practices, such as honoring ancestors and determining specific days in lunar cycles.
From: Manusmriti with the Commentary of Medhatithi
(1) Water libations are performed on days marked by odd numbers following the cremation, facing the south.[1] (2) The names of girls should consist of an odd number of letters and should be soft and consisting of an odd number of letters.[2] (3) Referring to the tradition of inviting an odd number of participants, particularly during rites to honor ancestors, as a preferred practice.[3] (4) The recommended quantity of brahmanas to be invited beyond the minimum of three, suggesting an enthusiastic approach.[4]
From: Apastamba Grihya-sutra
(1) Referring to the minimum number of Brahmanas to be fed during the rituals, which is at least three.[5]
From: Asvalayana-grihya-sutra
(1) A reference to the number of the Tithi during the bone gathering, specifically an odd-numbered day in the dark fortnight.[6]
From: Hiranyakesi-grihya-sutra
(1) A numerical count that is not divisible by two, significant in the context of inviting Brahmanas for the ritual.[7]
From: Vishnu Purana
(1) Rain falling from a bright sky while the sun is in asterisms counted by odd numbers is scattered by elephants of the quarters.[8]
From: Manasara (English translation)
(1) In the intermediate type of four-storeyed buildings, the odd numbers represent the five varieties of breadth, providing a specific measurement guideline.[9]
The concept of Odd number in local and regional sources
The keyphrase "Odd number" pertains to a sequence of numbers that increase by two, illustrating a consistent progression. This concept emphasizes the unique properties and arithmetic patterns inherent to odd numbers.
From: History of Science in South Asia
(1) These are the numbers used to label the latitudes in the quadrants, in the first plate, in the third plate, and in the fourth plate.[10] (2) This is a number that is not divisible by two, and square race games are played on a square grid with an odd number of rows and columns, usually 5 x 5, 7 x 7, or 9 x 9.[11] (3) The progression of odd numbers is referenced within the text, showing a series of numbers with a constant difference of two.[12]
The concept of Odd number in scientific sources
Odd number is not directly related to the text. The text defines "Odd number" as a regional term related to the area calculation formula for a square network.
From: Sustainability Journal (MDPI)
(1) It is an integer that is not divisible by two, a requirement for the filter template size.[13] (2) For a square network, the formula for area includes this parameter.[14]
Classical concept of 'Odd number'
From: Legends Of The Gods
(1) Attributes that Plato assigns to the Olympian Gods, contrasting them with opposite attributes assigned to other entities.[15]