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thence
thence, adv. (ðɛns) Forms: 3–4 þannes, 4 þ-, thennus, 4–5 þ-, thennes, -is, -ys, þens, 4–6 thens, 5 þenns, 5–6 thense, 6– thence. [ME. þannes, þennes, f. thenne adv., with adverbial genitive suffix -es, -s. The later spelling thence for thens was to preserve the breath sound of s when final inflexio... Oxford English Dictionary
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thence
thence/ðens; ðɛns/ adv(arch or fml 古或文) from there 由彼处; 从那里 They travelled by rail to the coast and thence by boat to America. 他们乘火车到海岸, 再从那里乘船去美国. 牛津英汉双解词典
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Therefore vs Thence - What's the difference? | WikiDiff
Adverb. ( - ) (conjunctive) For that or this purpose, referring to something previously stated. *. I have married a wife, and therefore I can not come. *. Behold, we have forsaken all, and followed thee; what shall we have therefore ? (conjunctive) Consequently, by or in consequence of that or this cause; referring to something previously stated.
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Croham (ward)
, thence southeastwards along said road to Purley Oaks Road, thence westwards along said road to the road known as Downsway, thence southwards along said avenue, thence northeast-wards along said avenue to Coningsby Road, thence northwestwards along said road to Mount Park Avenue, thence southwards along wikipedia.org
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Mark 10 KJV - And he arose from thence, and cometh - Bible Gateway
9 What therefore God hath joined together, let not man put asunder. 10 And in the house his disciples asked him again of the same matter. 11 And he saith unto them, Whosoever shall put away his wife, and marry another, committeth adultery against her. 12 And if a woman shall put away her husband, and be married to another, she committeth adultery.
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thence-from
thence-from, adv. arch. [An inversion of from thence: cf. hence-from.] From that place or source; thence.a 1618 Sylvester Wood-man's Bear lxxi, Thence-from crafty Cupid shot All the Arrows of his quiver. 1666 J. Smith Old Age (1676) 240 They flow not thence-from. 1856 Patmore Angel in Ho. ii. ii. i,... Oxford English Dictionary
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Christ Church East (BB Parliament constituency)
U to its junction with Waverley Road: thence in a northerly direction along the middle of Waverley Road to its junction with Pegwell Boggs Road; thence thence in northerly direction along the middle of Highway S to its junction with the ABC Highway; thence in a south westerly direction along the middle wikipedia.org
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thence-after
thence-ˈafter rare. After that time; thereafter.1593 Tell-Troth's N.Y. Gift (1876) 18 Thence after they must sit no more in the shoppes. 1864 Neale Seaton. Poems 187 Those blessed feet, thenceafter nailed Fast to the bitter cross! 1921 B. Jarrett English Dominicans ix. 180 The boy finished what rema... Oxford English Dictionary
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thence-out
† thence-ˈout, adv. Obs. [f. thence + out adv.] Out of that place; out from there.1614 Raleigh Hist. World ii. 401 Adad..inuaded Damascus, and thrust Rezon thence-out. Oxford English Dictionary
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Fuzzy's Involution Generalization As a consequence from my personal attempt to generalize the Fuzzy Logic's negation, I've got the following functional equation: \begin{align*} &f(x) + f(\alpha + \beta - x) = 2*f\left...
If you're looking for one solution, then here's one: Let $f(x) = \alpha+\beta -x$. Then $f(\alpha)=\beta$, $f(\beta)=\alpha$, $f(x)+f(\alpha+\beta-x)=\alpha+\beta-x +\alpha+\beta -(\alpha+\beta -x)=\alpha+\beta$. Since this is true for all $x$, then it is in particular true when $x=(\alpha+\beta)/2$...
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Fundamental group of complement of $n$ lines through the origin in $\mathbb{R}^3$ Just a quick question to verify whether I'm right. Claim: The fundamental group of the complement of $n$ lines through the origin in ...
There is a deformation retraction of ($\mathbb{R}^3$ minus $n$ lines through the origin) to (the unit sphere with $2n$ points removed). The $2n$ points are the intersections of the lines with the sphere, the deformation retraction is along the rays from the origin. As a result, the fundamental group...
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Error in this Chinese Remainder Theorem problem with three congruence equations? Origin - p5 \- Example 5 I'm querying a possible error, thence I show the pdf as is. Is the 3 underlined in red supposed to be 2? scili...
The error is in your last line. The addition is wrong $$3\cdot14\cdot4+1\cdot35\cdot1+2\cdot10\cdot5=168+35+100=\color{red}{303}=23\pmod{70}$$ Some ideas: $$\begin{align*}2x=1\pmod5&\iff x=2^{-1}\pmod5&\iff& x=3\pmod 5\\\\{}\\\ 3x=9\pmod 6&\iff x=3\pmod 2&\iff&x=1\pmod 2\\\\{}\\\ 4x=1\pmod7&\iff x=4...
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Restricted equality involving prime numbers Given three real numbers such that $a + b + c = 0$, it can be proved that \begin{align*} \frac{a^{5} + b^{5} + c^{5}}{5} & = \frac{a^{3} + b^{3} + c^{3}}{3}\cdot \frac{a^{2}...
$p=3,5$ are the only possible solutions. To check this, substitute $a=2, \ b,c=-1$. Then $\displaystyle \frac{2^{p+2}-2}{p+2}=3\frac{2^p-2}{p}$. This equation can (after some effort) be rewritten as $2^p(p-6)=-4p-12$. The left hand side can only be negative if $p<6$.
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Properties about Dirac Delta derivative I was wondering about this: Can we state that $\delta'(x)$ has the following property, specular to the Dirac Delta usual property? $$\delta'(f(x)) = \sum_{\text{roots}} \frac{...
We can proceed as follows: $$\begin{align} \int_I \delta'(f(x)) \, \phi(x) \, dx & = \left. -\frac{d}{dy} \left( \phi(f^{-1}(y)) \, \frac{1}{|f'(f^{-1}(y))|} \right) \right|_{y=0} \\\ & = \left. - \left( \phi'(f^{-1}(y)) \frac{1}{f'(f^{-1}(y))} \cdot \frac{1}{|f'(f^{-1}(y))|} + \phi(f^{-1}(y)) \cdot...
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Valid Logical Predicate Usage Hello StackExchange users. I have constructed various basic mathematical logic expressions, and I would like for knowledgeable users on the website to inform me of their validity. $L(a,...
First: $L(b,a)$ is equivalent to $G(a,b)$, so $L(b,a) \land G(a,b)$ is equivalent to $G(a,b)$. Second: if $a = 10$, and $b = 20$ then $(a + b) = 30$ is true and as $$\text{anything}\implies\text{true}$$ (verum sequitur ex quodlibet), your expression is true
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