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monotonous

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monotonous
monotonous, a. (məˈnɒtənəs) [f. Gr. µονότονος (see monotone a.) + -ous.] 1. a. Of sound or utterance: Continuing on one and the same note; usually in modified sense, having little variation in tone or cadence. b. (See quot. 1811.)1778 Warton Hist. Eng. Poetry II. Emend. a 4, Every line was perhaps u... Oxford English Dictionary
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Monotonous (song)
"Monotonous" is a popular song written by June Carroll and Arthur Siegel for Leonard Sillman's Broadway revue New Faces of 1952. wikipedia.org
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'Inescapably monotonous': Trump's 'retread' rallies hit for ... - Raw Story
Jan 24, 2024Sky Palma. January 24, 2024 3:08PM ET. The day after Donald Trump won the Iowa caucuses, his supporters ignored the freezing rain and came out for a rally in New Hampshire to celebrate the victory ...
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monotonous
monotonous/məˈnɔtənəs; mə`nɑtnəs/ adjnot changing and therefore uninteresting; boring or tedious 单调乏味的; 使人厌倦的; 无聊的 a monotonous voice, ie one with little change of pitch 单调的声音 monotonous work 单调乏味的工作. 牛津英汉双解词典
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Monotonous lark
Other alternate names include monotonous bush lark and Southern white-tailed bush-lark. monotonous lark Birds of Southern Africa monotonous lark Taxonomy articles created by Polbot wikipedia.org
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Is "monotonous" ever used as a synonym for "monotonic" in math? I saw a few questions and answers recently that wrote "monotonous" instead of "monotonic." Then I Googled and see a ton of usages of "monotonous" in M.SE...
It is always wrong. It is a clear error, which a native English-speaking mathematician would never commit.
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continuous and monotonous implies almost differentiable Let f be a strictly monotonic positive valued continuous function defined on $[a,b]$ such that $f(a) < a$ and $f(b)>b$ where $b>a>0$ then prove that there exist ...
If you mean to assert that there exists $c$ such that $f$ is differentiable at $c$ and $f'(c)>1$ then what you're trying to prove is false. (It's probaby true under some weaker notion of "$f'(c)>1$".) Say $K\subset [0,1]$ is the Cantor set and $g:[0,1]\to[0,1]$ is the "Cantor-Lebesgue function". The...
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Proving that a non-negative additive set function is monotonous > Let $\mu:\mathscr{C}\to\mathbb{R}=[-\infty,+\infty]$ is monotonous if $\mu(\emptyset)=0$ adnd for $E,F\in\mathscr{C}$, $E\subset F$ implies that $\mu(E...
For $E,F\in \mathscr{C}$ s.t. $E\subset F$, $$ \mu(F)=\mu(E)+\mu(F\setminus E)\ge \mu(E). $$
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Monotonous function or monotonic function I am from a non-English speaking country. Should we say monotonous function or monotonic function?
< Monotonic describes something this is unchanged or altered, such as the function in maths whereas Monotonous describes something lacking in variety
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Why is the inverse function of a monotonous function $f:\mathbb{R}\rightarrow \mathbb{R}$ the reflection on the $0$-diagonal of the coordinate system? Every monotonous function $f:\mathbb{R}\rightarrow\mathbb{R}$ is i...
As per my comment, let's define $Gr_f =\left\\{(x,y)\in \mathbb{R}^2 \mid f(x)=y\right\\}$ (from **Gr** aphic). Now, if $(x,y)\in Gr_f \iff f(x)=y \iff f^{-1}(y)=x \iff (y,x) \in Gr_{f^{-1}}$, $f^{-1}$ is the notation for the $f$'s inverse. As a result > $(x,y) \in Gr_f \iff (y,x) \in Gr_{f^{-1}}$ B...
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Amnesia & Monotonous Speech: Causes & Reasons - Symptoma Malta
Amnesia & Monotonous Speech Symptom Checker: Possible causes include Schizophrenia. Check the full list of possible causes and conditions now! Talk to our Chatbot to narrow down your search.
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Monotonous Stack - OI Wiki
OI Wiki aims to be a free and lively updated site that integrates resources, in which readers can get interesting and useful knowledge about competitive programming. There are basic knowledge, frequently seen problems, way of solving problems, and useful tools to help everyone to learn quicker and deeper.
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Boundedness of derivative of bounded, monotonous, continuously differentiable function Let $f\in C^1(\mathbb{R})$ be bounded and monotonous. What else do we need from $f$ for its derivative $f'$ to be bounded, too?
A differentiable function has bounded derivative if and only if it is Lipschitz-continuous. I don't think one can say more than that because you can always have arbitrarily steep spikes on arbitrarily short intervals so that $f$ remains bounded and monotone.
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Limits and subsucesions If you are working with a monotonous function, it is possible to calculate a limit using a subsucesion, but if you get the same limit independently the subsucesion you use, can I claim that it ...
If a function has a limit $$\lim_{x\to\infty}f(x)=a,$$ then for every sequence $x_n\to\infty$ it is true that $$f(x_n)\to a.$$ It is not true the other way around (choose $f(x)=\sin(x)$ and $x_n=\pi n$). If a sequence converges, then so does every subsequence. If a subsequence converges, then the se...
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image of convex closed, bounded subspace of H by monotonous continuous operator is closed Let H be a Hilbert space and K a convex closed, bounded subspace of H. Let $F : H → H$ be continuous monotonous function. Pro...
This is not true for $K$ being a subspace. Take $F$ to be linear, compact, and monotone. Let $K=H$. Compact operators do not have closed range. It is true, if $K$ is assumed to be a convex, closed, bounded subset of $H$. Let $(x_n)$ be a sequence in $K$ such that $F(x_n)\to y$. It remains to show th...
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