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yielded

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yielded
yielded, ppl. a. (ˈjiːldɪd) [f. yield v. + -ed1.] Surrendered, given up, granted, etc.: see the verb.1591 Savile Tacitus, Hist. iv. lxxx. 231 A dishonoured captiue, and yeelded person. 1595 Shakes. John v. ii. 107 Haue I not heere the best Cards for the game..? And shall I now giue ore the yeelded S... Oxford English Dictionary
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Yielded Definition & Meaning - Merriam-Webster
The meaning of YIELD is to bear or bring forth as a natural product especially as a result of cultivation. How to use yield in a sentence. Synonym Discussion of Yield.
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10 Simple Inventions which yielded Millions - TheRichest
Frisbee. Walter Frederick Morrison invented the Frisbee in 1948. He got the idea when he and his girlfriend tossed a lid of a tin of popcorn to pass the time. He called his product the "flying-saucer" and later the "Pluto Platter". In 1957, the idea was bought by Wham-O who put the product on the market in 1958 as the Frisbee.
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For the Milwaukee Bucks, the Jrue Holiday Gamble Yielded a Jackpot
The Milwaukee Bucks were in an unusual position during the last off-season. ... Sopan Deb is a basketball writer and a contributor to the culture section for The New York Times. Before joining The ...
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GOP voter fraud prosecutions only yielded 47 convictions ... - Alternet.org
Dec 21, 2023A new analysis of Republican-led "election integrity" prosecutions of alleged voter fraud found not only an extremely low success rate, but a common theme of prosecutions disproportionately ...
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How the Rosetta Stone Yielded Its Secrets - The New Yorker
The stone was swiftly carted away, to the tent of Jacques-François de Menou, a commander of the French forces. When, two years later, the French finally surrendered to the British, they said that ...
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Orthonormality of the yielded basis of the direct sum of two subspaces if V is the direct sum of two subspaces then is true that by adjoining any two orthonormal basis of of our resp. subspaces yields an orthonormal b...
No, it is not true. Suppose that you are working on $\mathbb{R}^2$ endowed with its usual inner product. Take $U=\mathbb{R}\times\\{0\\}$ and $W=\\{(x,x)\,|\,x\in\mathbb{R}\\}$. Then $\\{(1,0)\\}$ is an orthonormal basis of $U$, $\left\\{\frac1{\sqrt2}(1,1)\right\\}$ is an orthonormal basis of $W$, ...
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Simplifying a geometric series I seem to be completely misunderstanding something about the simplification of a geometric series. $$\sum_{j=1}^{n+1} ar^j = \sum_{j=0}^n ar^j + (ar^{n+1}-a)$$ Why does this work? From w...
The sum on the right side contains terms corresponding to $j = 0, 1, ..., n, n + 1$. We then subtract the term for $j = 0$ and the term for $j = n + 1$, so the terms remaining correspond to indices $j = 1, ..., j = n$; this is exactly what the left side represents.
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Uniqueness of points in Elliptic Curve addition When working on a curve E, is the point yielded by P + Q (some P and Q on E) completely unique? What I mean is there are no other points on E sharing the same x or y val...
As a general fact, a point is determined by its coordinates. Elliptic curves are usually represented as plane projective curves, in which case they are described by a homogeneous relation between three projective variables $X, Y, Z$. If you are using a Weierstrass model then there is only one point ...
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Is there any metric $d$ of $\mathbb R^n$, $n<\infty$ such that $\mathbb R^n$ is bicompact and no norm induces $d$ There are some simple metrics can't yielded by norm .But add bicompact,I can't structure such example. ...
If a metric $d$ on $\mathbb R^n$ is induced by a norm, then the metric space $(\mathbb R^n,d)$ is unbounded and therefore cannot be compact (I interpret _bicompact_ as an old-fashioned term for _compact_ ). Indeed, take any nonzero vector $v$ and positive number $t$: then $$ d(tv,0)=\|tv\|=t\|v\| $$...
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Show that $z^2=2i$ iff $z=\pm(1+i)$ I am reading Beardon's _Algebra and Geometry_. > Show that $z^2=2i$ iff $z=\pm(1+i)$. For the problem in question, first I made the multiplication $(1+i)\times(1+i)$ which showed ...
Interestingly, your first solution of simply checking that $(\pm(1 + i))^2 = 2i$ _does_ work, provided that you can show the following lemma: **Lemma:** Let $p$ be a polynomial with complex coefficients of degree $n\geq 0$. Then $p$ has at most $n$ roots in $\Bbb C$. (With the convention that the de...
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Prove that $\ln(x^2+1) \arctan x$ is uniformly continuous in $\mathbb R$. Prove that $\ln(x^2+1) \arctan x$ is uniformly continuous in $\mathbb R$. My attempts at proving this have not yielded anything worth sharing....
Hint: Since $f(x)=\ln(x^2+1)\arctan x$ is an odd function, it is enough to show that it is uniformly continuous on $[0,\infty)$. Towards this end, note that, for $x\ge 0$ $$ f'(x) ={2x\arctan x\over 1+x^2}+{\ln(1+x^2)\over 1+x^2} \le {\pi x\over 1+x^2}+{\ln(1+x^2)\over 1+x^2}\ \ \buildrel{x\rightarr...
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Applications of polynomials of a high degree What is the highest polynomial degree that has an application in real life, and what is that application? My google search yielded 3rd degree at most.
Practitioners in signal and image processing heavily use the so-called Discrete Fourier Transform, which is a polynomial evaluated on complex variables. Applications in medical imaging abound. The degree of these polynomials typically reaches the image size, which can be like 4096 or much more. * * ...
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Meaning of Clo(A), Int(A), Rint(A) I've just stumbled upon this notation in a text about optimalisation with no explanation as to what they mean (suggesting they are widely used and well known?). $A$ is a set (a conve...
No, they are not widely used, so that is a BAD text for not defining them. My guess: Clo = closure, Int = interior, Rint = relative interior. (Also it is a bad text if it uses the word _optimalisation_ instead of _optimisation_.)
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Factor factorials How would you find the greatest prime factor of a factorial? For instance, 82! The 2 and 41 that are yielded when you prime-factor 82 seem to have no correlation to the prime factorization of 82!
You know that $$82!=82\times 81\times 80\times \dots \times 3\times 2\times 1$$ What is the greatest prime factor? Well first, we can find the biggest prime number in the expansion of $82!$. That prime is $79$. Is there another prime factor greater than that? I can tell you that any factors greater ...
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