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concave
▪ I. concave, n. (ˈkɒnkeɪv) [a. OF. concave, f. concave adj.: cf. L. concava hollows. Appears to be earlier in Eng. than the adj.; but in later uses it is only an absolute use of the adj. Not unfrequently stressed conˈcave by poets.] † 1. A hollow; a cavity. Obs.1541 R. Copland Guydon's Quest. Chiru... Oxford English Dictionary
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Concave
Concave or concavity may refer to: Science and technology Concave lens Concave mirror Mathematics Concave function, the negative of a convex function Concave polygon, a polygon which is not convex Concave set The concavity of a function, determined by its second derivative See also wikipedia.org
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concave
concave/ˈkɔŋkeɪv; kɑn`kev/ adj(of an outline or a surface) curved inwards like the inner surface of a sphere or ball （指轮廓或表面）凹的（如球体或球的内部）. =>illus 见插图. Cf 参看 convex. 牛津英汉双解词典
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Convex and Concave Polygons - Definition, Differences, Examples
Aug 3, 2023A concave polygon, also known as a non-convex polygon, has at least one of its interior angles measuring more than 180°. Some diagonals of a concave polygon lie outside the closed figure. All concave polygons are irregular since all the interior angles are of different measures. Thus concave polygons are never regular.
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Concave polygon
A simple polygon that is not convex is called concave, non-convex or reentrant. A triangle can never be concave, but there exist concave polygons with n sides for any n > 3. An example of a concave quadrilateral is the dart. wikipedia.org
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Concave cake
Concave cake was initially considered unsuccessful due to its namesake shape. Due to the show's popularity, online searches for the term "concave cakes" rose overnight. wikipedia.org
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Is exponential of a concave function concave? is this function: $$\exp\Big(-||Ax||^2\Big)$$ concave in A?? I know that exponential of a convex function is convex, but is exponential of a concave function concave??
### Did's example Let $f(x)=e^{-x^2}$. Then $f'(x)=-2xe^{-x^2}$, so $f''(x)=4x^2e^{-x^2}-2e^{-x^2}=(4x^2-2)e^{-x^2}$. $e^{-x^2}$ is always positive, but $4x^2-2$ can be positive or negative.
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Concave function
A concave function is also synonymously called concave downwards, concave down, convex upwards, convex cap, or upper convex. The sum of two concave functions is itself concave and so is the pointwise minimum of two concave functions, i.e. the set of concave functions on a given wikipedia.org
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Sum of concave and strictly concave functions How can I prove, for the general case, that the sum of a concave and a strictly concave function, yields a strictly concave function?
$\color{blue}f$ concave, $\color{olive}g$ strictly concave, $t \in ]0,1[$ \begin{align} \color{blue}f(tx+(1-t)y)\,+\,\color{olive}g(tx+(1-t)y) &\color
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Convex and Concave
Convex and Concave is a lithograph print by the Dutch artist M. C. Escher, first printed in March 1955. One can view these features as concave by viewing the image upside-down. wikipedia.org
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Log-concave
Log-concave may refer to: Logarithmically concave function Logarithmically concave measure Logarithmically concave sequence wikipedia.org
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Example of sum of log-concave is not always log-concave I know that sum of log-concave is not always log-concave. Could anyone provides me with an example to prove this? Like probability distribution fn (pdf) of no...
Consider the sum of these two log concave functions \begin{align*} g(x)=f_1(x)+f_2(x), \end{align*} where the first and second derivatives of $g(x)$ are lambda_1 ^3 \exp(-\lambda_1x) + \lambda_2^3 \exp(-\lambda_2x) \end{align*} One can show that $g^{'}(x)g^{'}(x)\le g^{''}(x)g(x)$, hence $g(x)$ is not log-concave
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concave(thresher) in Chinese - concave(thresher) meaning in Chinese ...
concave(thresher) in Chinese : [脱粒机]承网 …. click for more detailed Chinese translation, meaning, pronunciation and example sentences.
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Concave-convex type unit curtain wall system - Google Patents
The invention discloses a concave-convex type unit curtain wall system which comprises a male upright post and a female upright post, wherein an alloy auxiliary frame is fixed on a positioning hole of the male upright post or the female upright post through a self-tapping screw; and hollow glass is placed on the aluminum alloy auxiliary frame, and a sealing glue and a foam rod are arranged ...
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100% Natural Amethyst Gemstone, Concave Cut Cushion, Fantasy ... - Etsy
Dec 18, 2023This Gemstones item by SabaGemsIN has 18 favorites from Etsy shoppers. Ships from India. Listed on Dec 18, 2023
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