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Everything about Triangular number
Figurate number
The triangular numbers or triangle numbers are the sequence of positive integers that can be represented as a lattice of points arranged in an equilateral triangle. The triangular lattice representing the th triangular number contains rows: the first row contains one point, the second row contains two, and this pattern continues up to the th row, which contains. Therefore, the triangular numbers may also be represented by the formula. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Triangular numberA 5-minute orientation
- Skim a recent paper: Bayesian Water Quality Evaluation Model Based on Generalized Triangular Fuzzy Number and its ApplicationInfluential work since 2022
- Pick up a classic book: Address BookThe most-reprinted book on the subject
- Read the landmark paper: A linear regression model using triangular fuzzy number coefficientsCited 122 times
- Go sideways: Tetrahedral numberA closely related topic
- Go sideways: Square numberA closely related topic
📖 Definitions
Noun Any integer that is the sum of n natural numbers from 1 to n.
🏆 Landmark papers (most cited)
A linear regression model using triangular fuzzy number coefficients
A Survey of Condition Number Estimation for Triangular Matrices
Comparison of Fuzzy Multiplication Operation on Triangular Fuzzy Number
The number of rooted triangular maps on a surface
The Frobenius number for sequences of triangular and tetrahedral numbers
New Similarity of Triangular Fuzzy Number and Its Application
The Frobenius Number for Sequences of Triangular Numbers Associated with Number of Solutions
A Fuzzy Inventory Model Without Shortages Using Triangular Fuzzy Number
🆕 Influential since 2022
Bayesian Water Quality Evaluation Model Based on Generalized Triangular Fuzzy Number and its Application
Triangular intuitionistic fuzzy number based backorder and lost sale in production, remanufacturing and inspection process
Stochastic Triangular Fuzzy Number (S-TFN) Normalization: A New Approach for Nonmonotonic Normalization
Fuzzy number-valued triangular norm-based decomposable time-stamped fuzzy measure and integration
A Novel Mean–Variance-Entropy Portfolio with Two-Parameter Coherent Triangular Intuitionistic Fuzzy Number
📚 Books worth reading
- 📕Address BookHermine Herrmann · 2021
Journey Through GeniusWilliam Dunham · 1990
The Mystic Test BookOlney H. Richmond · 1893- 📕Practical navigation, or, An introduction to the whole artJohn Seller · 1672
Geometry smarts!Lucille Caron · 2011
Introduction to numerical analysis and scientific computingNabil Nassif · 2014- 📕An epitome of navigationHenry Gellibrand · 1674
Beautiful GeometryEli Maor, Eugen Jost · 2014
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Tetrahedral number A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedro…
- Square number In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with…
- Polygonal number In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon. These are one type of 2-dimensional figurate…
- Pentagonal number A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the construction…
- Squared triangular number In number theory, the sum of the first n cubes is the square of the nth triangular number. That is, 13+23+33+⋯+n3=(1+2+3+⋯+n)2. The same equation may be…
- Pronic number A pronic number is a number that is the product of two consecutive integers, that is, a number of the form n(n+1). The study of these numbers dates back…
- Centered square number In elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center…
- Cube (algebra) In arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number…