查询词典 It follows that ...

Concretely, starting from a short sequence primal masks possessing Hermite interpolation properties, a necessary and sufficient conditions such that primal masks satisfies the preassigned order of sum rules are established, then a dual masks with short support, symmetry and any preassigned order of sum rules is constructed, it follows that two multiscaling functions are obtained and then multiwavelets and dual multiwavelets are derived. From which, a general design framework is obtained for constructing biorthogonal multiwavelets system with multiplicity 2r associated with Hermite interpolation functions.

具体的，从具有Hermite插值性质的短序列尺度符号出发，首先建立它具有指定阶和规则的充要条件，然后构造出短支撑、对称的具有指定阶和规则的对偶尺度符号，从而得到一对对偶的尺度函数，再构造出相应的双正交多小波。

Moreover, as it is not supposable that the pope wishes to act illicitly, it follows that if he has been moved by false allegations to grant a dispensation, even in a matter of ordinary ecclesiastical law, such dispensation is invalid.

此外，由于它是不是supposable说，教宗希望这样做是非法，因此，若他已提出不实指控给予豁免，即使在短短普通的教会法，这种豁免是无效的。

The experimental results indicate that collectivity of ^131 Ce is reduced relative to that of ^130Ce and it follows that deformation decreases with increase of the neutron number on the basis of systematic comparison of transition quadrupole moments for the light cerium isotopes.

精确量度形变大小的最好方法是通过测量能级寿命提取电磁跃迁概率或跃迁四极矩。为了系统研究轻Ce同位素的形状变化，我们利用多普勒移动衰减法测量了^131Ce激发态的寿命。

Of the fundamental matrix in (2) satisfies the differential equation =A , it follows that the matrix = itself satisfies the matrix differential equation Because its column vectors are linearly independent, it also follows that the fundamental matrix is nonsingular, and therefore has inverse matrix .

基本矩阵的求解由于（2）中的基本矩阵的列向量满足微分方程A，进而这个矩阵本身就满足矩阵微分方程。

He asserts that the promisee by refraining from the use of liquor and tobacco was not harmed but benefited; that that which he did was best for him to do independently of his uncle's promise, and insists that it follows that unless the promisor was benefited, the contract was without consideration.

PS：下次问问题记得把整段都发上来。这个案子的基本案情是，叔叔或者舅舅或者伯伯答应侄子或外甥如果他在21岁之前不喝酒不抽烟不赌博，则在他21岁的时候给他5000刀。侄子或外甥很听话。结果他满21岁的时候，他叔叔的遗产执行人（他叔叔。。。已经翘掉了）拒绝执行。认为这都是为他好。他不抽烟喝酒赌博是应该的。他叔叔的利益没有受好的影响。

If what has been said is accepted, then it follows that the concept of education is a normative concept that is open-textured at two points, since it restricts the ranges of W and Z to what is desirable and morally unobjectionable or judged to be so, but imposes no other restrictions upon them.

如果已经被论述的可以被接受，那么它遵循的是，教育概念是一个在两点上有开放结构的标准概念，因为它限制了 W 和 Z 的范围是符合意愿的，并且是道德上无异议的或被判定是这样的，但是再没有强加别的限制对它们。

Moreover, as it is not supposable that the pope wishes to act illicitly, it follows that if he has been moved by false allegations to grant a dispensation, even in a matter of ordinary ecclesiastical law, such dispensation is invalid.

此外，由於它是不是supposable说，教宗希望这样做是非法，因此，若他已提出不实指控给予豁免，即使在短短普通的教会法，这种豁免是无效的。

That being the case, and it being impossible to deny that portions indistinguishable from the rest are by St. Paul, it follows that the early and universal tradition ascribing the whole of them to the Apostle is correct.

在这种情况下，它不可能被否认的部分区分，其余则是由圣保禄，这意味着早期的和普遍的传统ascribing整个他们的使徒是正确的。

It follows that when the two men alight in each other's territory, and go about their business and pleasure, whatever vibrations are passed back by one to his native habitat will be felt by the other, and vice versa, and thus return to the transmitter subtly modified by the response of the other party may, indeed, return to him along the other party's cord of communication, which is, after all, anchored in the placeswhereshe has just arrived; so that before long the whole system is twanging with vibrations travelling backwards and forwards between Prof A and Prof B, now along this line, now along that, sometimes beginning on one line and terminating on another.

这样一来，当这两个人分别降落在对方的领地，开始各自的工作和生活时，其中一个人通过纽带传回给故土的任何振动，都会被另一个人感觉到，而后者的反应会使传回给发送者的信息发生微妙变化--事实上，这些信息可能是通过另一方的纽带传回去的，毕竟，这条纽带是固定在他刚刚到达的地方。于是，用不了多久，随着A教授和B教授之间的来回振动感应，整个系统就会嗡嗡作响：这些振动一会儿沿着这条纽带，一会儿又通过那条，有时从这一条开始，又在那条结束。

This latter being I call "first," and from what you grant, it is clear that anything other than this is not first. Furthermore, it follows that if the first cannot be produced, then it has no causes whatsoever, for it cannot be the result of a final cause (from conclusion two of chapter two)—nor of a material cause (from the sixth conclusion of the same)—nor of a formal cause (from the seventh conclusion there). Neither can it be caused by matter and form together (from the eighth conclusion there).

这后一种存在我称之为&第一性&，由我们设定的前提看，只有这一存在而不是其他能够称为第一性，而且，如果第一性是不能被产生的，那它在任何意义上都无所谓原因，因为它不可能是一个终极因的结果，也不可能是质料因的结果，也不可能是形式因的结果，也不可能由形式因和质料因共同产生。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新