178 (number)
178 (one hundred [and] seventy-eight) is the natural number following 177 and preceding 179.
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| Cardinal | one hundred seventy-eight | |||
| Ordinal | 178th (one hundred seventy-eighth) | |||
| Factorization | 2 × 89 | |||
| Divisors | 1, 2, 89, 178 | |||
| Greek numeral | ΡΟΗ´ | |||
| Roman numeral | CLXXVIII | |||
| Binary | 101100102 | |||
| Ternary | 201213 | |||
| Octal | 2628 | |||
| Duodecimal | 12A12 | |||
| Hexadecimal | B216 | |||
In mathematics
In a 1948 paper, Margaret Willerding claimed that there are exactly 178 equivalence classes of four-variable positive quadratic forms that are universal, in the sense that they have all positive integers as their values.[1] However, this count has later been claimed to be inaccurate, based on the use of the 15 and 290 theorems to re-examine the same question.[2]
There are 178 biconnected graphs with six vertices, among which one is designated as the root and the rest are unlabeled.[3] There are also 178 median graphs on nine vertices.[4]
See also
- The year 178 AD or 178 BC
- List of highways numbered 178
- All pages with titles containing 178
References
- Willerding, Margaret F. (1948). "Determination of all classes of positive quaternary quadratic forms which represent all (positive) integers". Bulletin of the American Mathematical Society. 54: 334–337. doi:10.1090/S0002-9904-1948-08998-4. MR 0024939.
- See editorial remark in review of Willerding (1948) by Heinrich Brandt, Zbl 0032.26603
- Sloane, N. J. A. (ed.). "Sequence A004115 (Number of unlabeled rooted nonseparable graphs with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- Sloane, N. J. A. (ed.). "Sequence A292623 (Number of median graphs on n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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