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- DictionaryDe·rive/dəˈrīv/
verb
- 1. obtain something from (a specified source): "they derived great comfort from this assurance"
21 hours ago · Using only geometry and properties of limits, it can be shown that the derivative of sine is cosine, and that the derivative of cosine is the negative of sine. This means the successive derivatives of sin(x) are cos(x), -sin(x), -cos(x), sin(x), continuing to repeat those four functions. The (4n+k)-th derivative, evaluated at the point 0:
21 hours ago · Democracy (from Ancient Greek: δημοκρατία, romanized : dēmokratía, dēmos 'people' and kratos 'rule') [1] is a system of government in which state power is vested in the people or the general population of a state. [2] Under a minimalist definition of democracy, rulers are elected through competitive elections while more expansive ...
21 hours ago · Schizophrenia is a mental disorder [17] characterized by reoccurring episodes of psychosis that are correlated with a general misperception of reality. [7] Other common signs include hallucinations (typically hearing voices ), delusions (i.e., paranoia ), disorganized thinking and behavior, [10] social withdrawal, and flat or inappropriate ...
21 hours ago · The exponential of X, denoted by eX or exp (X), is the n×n matrix given by the power series. where is defined to be the identity matrix with the same dimensions as . [1] The series always converges, so the exponential of X is well-defined. Equivalently, where I is the n×n identity matrix. When X is an n×n diagonal matrix then exp (X) will be ...
21 hours ago · Philosophy. Philosophy ( φιλοσοφία, 'love of wisdom', in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, value, mind, and language. It is a rational and critical inquiry that reflects on its own methods and assumptions. Historically, many of the individual ...
21 hours ago · t. e. In information theory, the entropy of a random variable is the average level of "information", "surprise", or "uncertainty" inherent to the variable's possible outcomes. Given a discrete random variable , which takes values in the set and is distributed according to , the entropy is. where denotes the sum over the variable's possible values.
21 hours ago · The Lexico definition of emotion is "A strong feeling deriving from one's circumstances, mood, or relationships with others." Emotions are responses to significant internal and external events. Emotions can be occurrences (e.g., panic) or dispositions (e.g., hostility), and short-lived (e.g., anger) or long-lived (e.g., grief).
