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exponential
exponential, a. and n. (ɛkspəʊˈnɛnʃəl) [f. prec. + -ial.] A. adj. 1. That has the function of setting forth or exhibiting. rare.1730–6 in Bailey (folio). 1809–10 Coleridge Friend (1818) III. 185 Where the hypothesis is an exponential image..of an idea. 2. a. Math. Involving the unknown quantity or v...
Oxford English Dictionary
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Exponential
Exponential may refer to any of several mathematical topics related to exponentiation, including:
Exponential function, also:
Matrix exponential, the matrix Exponential map (Riemannian geometry), in Riemannian geometry
Exponential map (Lie theory), in Lie theory
Exponential notation, also known as scientific
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exponential function - Wolfram|Alpha
Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. exponential function. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of ...
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exponential
exponential/ˌekspəuˈnenʃl; ˌɛkspo`nɛnʃəl/ adj(mathematics 数)1 of or indicated by an exponent(3) 指数的; 幂的 24 is an exponential expression. 24是一个指数式.2 produced or indicated by multiplying a set of numbers by themselves 由指数产生或表示的 an exponential function 指数函数 (fig 比喻) exponential (ie more and more rapid)...
牛津英汉双解词典
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Exponential growth & decay: FAQ (article) | Khan Academy
First, identify the initial value (the y -intercept). Second, determine whether the function is growing or decaying. Third, find the growth or decay factor - this will be the number we're multiplying by each time period. Once we have these three pieces of information, we can write the exponential function in the form y = a ( b) x , where a is ...
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3 Ways to Solve Exponential Equations - wikiHow
Nov 25, 2022To solve exponential equations with the same base, which is the big number in an exponential expression, start by rewriting the equation without the bases so you're left with just the exponents. Then, solve the new equation by isolating the variable on one side. To check your work, plug your answer into the original equation, and solve the ...
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Solving Exponential Equations | Brilliant Math & Science Wiki
To solve exponential equations, we need to consider the rule of exponents. These rules help us a lot in solving these type of equations. In solving exponential equations, the following theorem is often useful: Here is how to solve exponential equations: Manage the equation using the rule of exponents and some handy theorems in algebra. Use the theorem above that we just proved.
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Double exponential
Double exponential may refer to:
A double exponential function
Double exponential time, a task with time complexity roughly proportional to such a function Double exponential distribution, which may refer to:
Laplace distribution, a bilateral exponential distribution
Gumbel distribution, an iterated exponential
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Graphs of exponential growth (video) | Khan Academy
So for example something with a linear growth rate will grow at a steady pace while something that has an exponential growth rate is increasing extremely rapidly after only a small amount of time. We can picture this behavior using the graph of an exponential function, say y=2^x, for every increase in x, y grows faster and faster (when x=1, y=2 ...
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Exponential utility
This feature explains why the exponential utility function is considered unrealistic. Then under exponential utility, expected utility is given by:
where E is the expectation operator.
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Exponential polynomial
There is nothing particularly special about C here; exponential polynomials may also refer to such a polynomial on any exponential field or exponential the exponential function.
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Exponential factorial
That is,
The exponential factorial can also be defined with the recurrence relation
The first few exponential factorials are 1, 2, 9, 262144, . For example, 262144 is an exponential factorial since
Using the recurrence relation, the first exponential factorials are:
1
21 = 2
32 = 9
49 = 262144
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Exponential growth - Wikipedia
Exponential growth is a process that increases quantity over time at an ever-increasing rate. It occurs when the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself. Described as a function, a quantity undergoing exponential growth is an exponential function of time, that is, the variable representing time is the ...
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5.4: The Exponential Distribution - Statistics LibreTexts
Apr 2, 2023Figure 5.4.1. Notice the graph is a declining curve. When x = 0, f(x) = 0.25e ( − 0.25) ( 0) = (0.25)(1) = 0.25 = m. The maximum value on the y -axis is m. The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to eight minutes.
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Why Is This Happening? The Chris Hayes Podcast: AI: "An Exponential ...
Kate Crawford is an AI expert, research professor at USC Annenberg, honorary professor at the University of Sydney and senior principal researcher at Microsoft Research Lab in New York City. She's also author of "Atlas of AI: Power, Politics, and the Planetary Costs of Artificial Intelligence." Crawford joins WITHpod to discuss the social ...
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