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stipulate

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stipulate
▪ I. stipulate, a. Bot. (ˈstɪpjʊlət) [ad. mod.L. stipulāt-us, f. stipula: see -ate2.] (See quot. 1900.)1776 J. Lee Introd. Bot. Explan. Terms (ed. 3) 380 Stipulatus, stipulate, having stipula. 1830 Lindley Nat. Syst. Bot. 26 Alternate stipulate leaves. 1870 Hooker Stud. Flora 326 Euphorbiaceæ..Leave... Oxford English Dictionary
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stipulate
stipulate/ˈstɪpjuleɪt; `stɪpjəˌlet/ v[Tn, Tf](fml 文) state (sth) clearly and firmly as a requirement 讲明, 规定（某要求） I stipulated red paint, not black. 我已讲明要红漆, 不要黑漆. It was stipulated that the goods should be delivered within three days. 按规定货物须在三日内送交. 牛津英汉双解词典
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re-stipulate
re-ˈstipulate, v. (riː-) [re- 5 a.] intr. To stipulate anew.1847 Mrs. A. Kerr tr. Ranke's Hist. Servia 343 To re-stipulate for the conditions of peace formerly proposed. Oxford English Dictionary
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Extending to a local frame that agrees with given orientation Suppose that $(e_1, \ldots, e_k)$ is an oriented basis for $T_pM$ where $M$ is an oriented Riemannian manifold. In general, we know that we can extend to a...
The local frame $(X_i)$ will agree with the chosen orientation form: if $\omega(e_1,\dots,e_k)>0$, then $\omega(X_1,\dots,X_k)>0$ in $U$, because $\omega(X_1,\dots,X_k)|_q=0$ would imply that the $X_i's$ do not form a basis of $T_qM$.
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Basis (linear algebra) - ordering of the vectors? Looking at Wikipedia Basis (linear algebra)), it seems that in English a basis is a set of vectors that may be ordered, with ordering not being mandatory. This creates...
In my mind, a basis does not automatically come with an order (and indeed the order is usually superfluous). There are times when the order of the basis matters (Gram–Schmidt, for example), and in that case I'm used to either seeing the words "ordered basis" explicitly, or else the author sloppily a...
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Translation of "contract fails to stipulate" in Chinese - Reverso Context
Translations in context of "contract fails to stipulate" in English-Chinese from Reverso Context: if there is no bylaw or collective contract, or the bylaw or collective contract fails to stipulate the remuneration, it shall follow the principle of equal pay for equal work;if there is no standard on working conditions etc., relevant provisions of the State shall prevail.
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Estimate on expression involving elements in the unit disc in $\Bbb C$ Suppose $|\lambda|<1, Re\lambda < 0, Im\lambda > 0$. What is the largest lower bound independent of $\lambda$ on the expression $$Re\lambda - \f...
Let $x = -\Re(\lambda), y = \Im(\lambda)$ and $c = \frac{2\pi}{n+2}$. The above problem is then equivalent to $$\begin{equation*} \begin{aligned} & {\text{minimize}} & & -x -cy\\\ & \text{subject to} & & x^2 + y^2 0 \\\ & & & y>0 \end{aligned} \end{equation*}$$ This is a pretty tame convex program, ...
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multiplying by a $C^\infty$ function If $f \in C^\infty$ and $g$ is a real valued function can we say anything about their product? In particular is $fg \in C^\infty$ or maybe if we stipulate $g$ has compact support c...
The only thing you can say that $fg$ has the same smoothness as $g$. That is, if $g$ is in $C^k$, then $fg$ is in $C^k$ as well. If $f$ in addition has compact support, then $g\in C^k$ implies that $fg$ is in $C^k$ with uniformly continuous derivatives up to order $k$. Similarly, if $g$ is in some S...
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Finitely Generated General Linear Group Is there a $F$ over which $GL_n(F)$, the general linear group, is finitely generated? Obviously one generator won't work, since $GL_n(F)$ is never abelian for any field. This is...
If $\text{GL}_m(F)$ is finitely generated, then $F^*$ is finitely generated (take determinants of a finite set of generators). Note that any subgroup of a finitely generated Abelian group is finitely generated. If $F$ has characteristic zero, $F^*$ contains a copy of $\Bbb Q^*$ which is not finitely...
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Does the output of a total function need to be unique against the input? I'm reading Semantics with Applications and I'm confused about their definition of a total function. They define a function like so: ...
The stipulation is mostly relevant for preventing the instance of multivalued functions - functions that attain multiple values for a given input. For example, you could define $f(x) =\pm \sqrt x$ and then have $f(4)=2$ and $f(4)=-2$. This stipulation prevents such cases. That's not to say multivalu...
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Change of coordinates principle for mapping class groups So I am reading Farb and Margalit's text, and his statement for the change of coordinates principle doesn't seem complete. Namely, he states that there is an or...
Your intuition that cutting along these curves should not result in different surfaces is completely correct. The following two pairs of curves, $(\alpha,\beta)$ and $(a,b)$, cannot be sent to one another by any homeomorphism, for the connected components they cut off of the surface are not homeomor...
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Question about random variables I'm new in a probability course and I stuck with the following questions. The problems stipulate: In a store there are 10 printers such that 4 are defective, 6 are good and one compan...
**Basic approach.** Use the same hypergeometric distribution you used for the first question to determine $$ p_k \stackrel{\text{def}}{=} P(\text{out of the $5$ chosen printers, exactly $k$ are bad}) $$ Note then that also $p_k = P(\text{repairs cost $50k$ dollars})$. So you can easily determine exp...
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How is the definition of joint probability not circular? According to the chain rule: $$ P(A,B) = P(A \cap B) = P(A \mid B)P(B) $$ Yet, according to wikipedia, the Kolmogorov definition of conditional probability is...
You define conditional probability by the Kolmogorov definition. From the Kolmogorov definition, you can prove $P(A\cap B) = P(A\mid B)P(B)$. Then you just have to define what you mean when you write $P(A,B)$. You've defined it to mean $P(A,B)=P(A\cap B)$. Thus, from the definition of conditional pr...
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Context-Free Grammar construction when order isn't specified I'm having trouble constructing a grammar for > **L={wϵ{a,b}|n a(w)≠nb(w)}** So I need to construct a grammar for the language wherein the number of a's d...
**Hint:** The first step in your grammar should decide whether $n_{\mathtt{a}} > n_{\mathtt{b}}$ or $n_{\mathtt{a}} < n_{\mathtt{b}}$, and then the two "halves" of your grammar will then construct appropriate strings. This related question might help you.
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Specify which of my machine's IP4 or IP6 addresses is to be used for a curl request My linux box has 3 IP4 addresses and a range of IP6 addresses. Supposing I wish to make a `curl` fetch, how to stipulate from _which...
Do you mean the ` --interface` option? From `man curl`: > \--interface > > Perform an operation using a specified interface. You can enter interface name, IP address or host name. An example could look like: > > curl --interface eth0:1 > If this option is used several times, the last one will be use...
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