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[6] [7] [a] The parentheses can be omitted if the input is a single numerical variable or constant, [2] as in the case of sin x = sin(x) and sin π = sin(π). [a] Traditionally this convention extends to monomials; thus, sin 3x = sin(3x) and even sin 1 / 2 xy = sin(xy/2), but sin x + y = sin(x) + y, because x + y is not a monomial ...
Before the Renaissance, mathematics was divided into two main areas: arithmetic, regarding the manipulation of numbers, and geometry, regarding the study of shapes. [7] Some types of pseudoscience, such as numerology and astrology, were not then clearly distinguished from mathematics. [8] During the Renaissance, two more areas appeared.
Natural numbers are studied in different areas of math. Number theory looks at things like how numbers divide evenly ( divisibility ), or how prime numbers are spread out. Combinatorics studies counting and arranging numbered objects, such as partitions and enumerations .
Comparison of probability density functions, () for the sum of fair 6-sided dice to show their convergence to a normal distribution with increasing , in accordance to the central limit theorem. In the bottom-right graph, smoothed profiles of the previous graphs are rescaled, superimposed and compared with a normal distribution (black curve).
Idealization by Edvard Munch (1903), who is presumed to have had borderline personality disorder [6] [7]: Specialty: Psychiatry, clinical psychology: Symptoms: Unstable relationships, distorted sense of self, and intense emotions; impulsivity; recurrent suicidal and self-harming behavior; fear of abandonment; chronic feelings of emptiness; inappropriate anger; dissociation [8] [9]
There were 69,686 households, out of which 35.7% had children under the age of 18 living with them, 44.6% were married couples living together, 17.9% had a female householder with no husband present, and 33.5% were non-families. 27.0% of all households were made up of individuals, and 8.1% had someone living alone who was 65 years of age or older.
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