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One could define the x-axis as a tangent at this point, but this definition can not be the same as the definition at other points. In fact, in this case, the x -axis is a "double tangent." For affine and projective varieties , the singularities are the points where the Jacobian matrix has a rank which is lower than at other points of the variety.
In mathematics, a real-valued function f on the interval [a, b] is said to be singular if it has the following properties: f is continuous on [ a , b ]. there exists a set N of measure 0 such that for all x outside of N, the derivative f ′ ( x ) exists and is zero; that is, the derivative of f vanishes almost everywhere .
In mathematics, two positive (or signed or complex) measures and defined on a measurable space (,) are called singular if there exist two disjoint measurable sets , whose union is such that is zero on all measurable subsets of while is zero on all measurable subsets of .
1 (one, unit, unity) is a number, numeral, and glyph.It is the first and smallest positive integer of the infinite sequence of natural numbers.This fundamental property has led to its unique uses in other fields, ranging from science to sports, where it commonly denotes the first, leading, or top thing in a group. 1 is the unit of counting or measurement, a determiner for singular nouns, and a ...
Latin has different singular and plural forms for nouns, verbs, and adjectives, in contrast to English where adjectives do not change for number. [10] Tundra Nenets can mark singular and plural on nouns, verbs, adjectives, adverbs, and postpositions. [11] However, the most common part of speech to show a number distinction is pronouns.
In mathematics and logic, plural quantification is the theory that an individual variable x may take on plural, as well as singular, values.As well as substituting individual objects such as Alice, the number 1, the tallest building in London etc. for x, we may substitute both Alice and Bob, or all the numbers between 0 and 10, or all the buildings in London over 20 stories.
It was noticed in the formulation of Bézout's theorem that such singular points must be counted with multiplicity (2 for a double point, 3 for a cusp), in accounting for intersections of curves. It was then a short step to define the general notion of a singular point of an algebraic variety; that is, to allow higher dimensions.
Singular may refer to: Singular, the grammatical number that denotes a unit quantity, as opposed to the plural and other forms; Singular or sounder, a group of boar, see List of animal names; Singular (band), a Thai jazz pop duo; Singular: Act I, a 2018 studio album by Sabrina Carpenter; Singular: Act II, a 2019 studio album by Sabrina Carpenter