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if and only if
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  “if and only if”译为未确定词的双语例句
    In this paper, we shall discuss the classical fundamental formula dQ=dE+pdv-■·d■ of relativistic thermodynics in details and throughout, and prove that if dE=dU then the ■·d■=0 when the ■·d■ as work done by external force on the system, if dE≠dU then the classical fandamental formula is valid if and only if dE-■·d■=dU.
    本文全面细致地分析了相对论性热力学公式。 dQ=dE+Pdv-■·d■结果是只有d■=dQ■/C~2,dE-■·d■=dU时才不违肯能量守恒原理,亦即公式变成dQ=dU+pdv。
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    Then intersection point of the i-th pair of opposite sides lies on the same line if and only if the line joining Ai-1 with A2i-1 passes through A1Ai+1 × AiA2l.
    (ⅱ)若连线A_(i-1)A_(2i-1)不过A_1A_(i+1)×A_iA_(2i),则第ⅰ对对边的交点不在此直线上。
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    If no,
    如果否,
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    If so, how?
    那么,如何提高学生听力理解能力呢?
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    If there is, what are the conditions and mechanisms that can guarante e the “safety dosage”?
    如果有 ,则确保在“安全剂量”内玩电子游戏的条件、机制是什么 ?
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    Only if the teory of research study partiacipates in the teaching,can it be alive.
    在历史教学中,两种模式的应用是相辅相成的,前者是基础,后者是前者的延伸和发展,也是研究性学习的目的和归宿。
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    2. Is there any difference of integrate and instrument motivation on proficiency? If there is, what?
    2.综合型学习动机与工具型学习动机对学生的学习成绩是否存在差异?
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  if and only if
This implies that a system is algebraically integrable (i.e., its eigenvalue problem is explicitly solvable in quadratures) if and only if the differential Galois group is commutative for generic eigenvalues.
      
TheS-arithmetic group г is of typeFn, resp.FPn, if and only if for allp inS thep-adic completionGp of the corresponding algebraic groupG is of typeCn resp.CPn.
      
We show that in the modular case, the ring of invariants in is of this form if and only if is a polynomial algebra and all pseudoreflections in ?(G) are diagonalizable.
      
Specifically, a subset is complete if and only if it contains infinitely many even-order autocorrelation functions.
      
We next show that this result is best possible by including a result of Kalton: A frame can be represented as a linear combination of two orthonormal bases if and only if it is a Riesz basis.
      
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BMOA and VMOA have been extended to the meromorphic functions as UBC and UBC_0 respectively.It is well known that for each analytic function f(z) on the unite opendisc, the followings are true: f(z)∈BMOA if and only if (1-|z|~2)|f'(z)|~2dxdy is a Carleson measure; f(z)∈VMOA if and only if (1- |z|~2)|f'(z)|~2 dxdy is a Vanishing Carleson measure.In this paper, we proved the following results, for each meromorphic function f(z) on the unite open disc, f(z)∈UBC_0 if and only if f~(#2)(z) (l-|z|~2)dxdy...

BMOA and VMOA have been extended to the meromorphic functions as UBC and UBC_0 respectively.It is well known that for each analytic function f(z) on the unite opendisc, the followings are true: f(z)∈BMOA if and only if (1-|z|~2)|f'(z)|~2dxdy is a Carleson measure; f(z)∈VMOA if and only if (1- |z|~2)|f'(z)|~2 dxdy is a Vanishing Carleson measure.In this paper, we proved the following results, for each meromorphic function f(z) on the unite open disc, f(z)∈UBC_0 if and only if f~(#2)(z) (l-|z|~2)dxdy is a Vanishing Carleson measure; When f(z)∈N, then f(z)∈UBC if and only if f~(#2)(z) (1- |z|~2)dxdy is a Carleson measure; where f~#(z) is defined to be |f'(z)|

UBC类与UBC_0类函数分别是BMOA类与VMOA类函数的亚纯推广。我们知道,对单位圆盘上的每一个解析函数f(z),f(z)∈BMOA当且仅当(1-|z|~2)|f′(z)|~2dxdy是Carleson测度;f(z)∈VMOA当且仅当(1-|z|~2)|f′(z)|2dxdy是消失Carleson测度。本文我们证明,对单位圆盘上的亚纯函数f(z),f(z)∈UBC_0当且仅当(1-|z|~2)f~(#2)(z)dxdy是消失Carleson测度;若f(z)∈N,则f(z)∈UBC当且仅当(1-|z|~2)f~(#2)(z)dxdy是Carleson测度;其中f~#(z)△=|f′(z)|/(1+|f(z)|~2)。

In this paper, we shall discuss the classical fundamental formula dQ=dE+pdv-■·d■ of relativistic thermodynics in details and throughout, and prove that if dE=dU then the ■·d■=0 when the ■·d■ as work done by external force on the system, if dE≠dU then the classical fandamental formula is valid if and only if dE-■·d■=dU. Lastly, we derive the Lorentz transformation of temperature.

本文全面细致地分析了相对论性热力学公式。dQ=dE+Pdv-■·d■结果是只有d■=dQ■/C~2,dE-■·d■=dU时才不违肯能量守恒原理,亦即公式变成dQ=dU+pdv。并证明■·■作为外力所作的功必等于零。此时,dE=dU,公式亦变成dQ=dU+pdv,温度的洛伦兹变换为T=(1-v~2/C~2)~(-1/2)T_0。

For a 2i-gon inscribed in a curve of second order, if i is odd and if intersection points of (i-1) pairs of opposite sides are collinear, then the intersection point of the i-th patr of opposite sides must lin on the same line.Now suppose that i is dual and that intersection points of (i-1) pairs of opposite sides are collinear.Then intersection point of the i-th pair of opposite sides lies on the same line if and only if the line joining Ai-1 with A2i-1 passes through A1Ai+1 × AiA2l.

内接于二阶曲线的2i点形,如果i为奇数,且i—1对对边的交点共线,则第i对对边的交点也在此直线上。如果i为偶数,且i—1对对边的交点共线。 (ⅰ)若连线A_(i-1)A_(2i-1)过A_1A_(i+1)×A_1A_(2i),则第ⅰ对对边的交点也在此直线上; (ⅱ)若连线A_(i-1)A_(2i-1)不过A_1A_(i+1)×A_iA_(2i),则第ⅰ对对边的交点不在此直线上。

 
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