证明无论对非均匀形核和均匀形核下式均成立：<img src='https://img2.soutiyun.com/ask/2020-01-13/947753050711016.png' />
在平行六面体ABCD-EFGH中,证明:<img src='https://img2.soutiyun.com/ask/2020-10-08/970998459512315.png' />
证明:对所有集合A,B和C,有<img src='https://img2.soutiyun.com/ask/2021-01-10/979154132976341.png' />
设z是任一复数,证明<img src='https://img2.soutiyun.com/ask/2021-01-13/9794048514659.png' />
证明对于任意正整数n和任意向量α，都有<img src='https://img2.soutiyun.com/ask/2021-01-11/979228170012506.jpg' />
试证明下列函数满足拉普拉斯方程：<img src='https://img2.soutiyun.com/ask/2019-06-18/929711665151155.png' />
利用分部积分证明:<img src='https://img2.soutiyun.com/ask/2021-01-25/980415524997009.png' />
用数学归纳法证明:<img src='https://img2.soutiyun.com/ask/2021-02-22/982838635749578.png' />
设<img src='https://img2.soutiyun.com/ask/2020-12-15/976910006079741.png' />为同一区间上的可导函数,证明
证明:若<img src='https://img2.soutiyun.com/ask/2020-11-11/973945141033851.png' />
证明柯特斯系数满足<img src='https://img2.soutiyun.com/ask/2020-08-04/965384831848618.png' />
利用Γ函数和B函数的关系，证明<img src='https://img2.soutiyun.com/ask/2021-01-19/979914972490034.png' />
证明:集合A是一个关系,当且仅当<img src='https://img2.soutiyun.com/ask/2021-01-10/979154705733101.png' />
设p＞1，证明不等式<img src='https://img2.soutiyun.com/ask/2021-01-18/979838709003026.png' />
证明不等式:<img src='https://img2.soutiyun.com/shangxueba/ask/51399001-51402000/51401966/977847325438542.png' />.
证明定理3:15中的等式<img src='https://img2.soutiyun.com/ask/2021-01-02/978463581870021.png' />
构造公式<img src='https://img2.soutiyun.com/ask/2020-12-17/97706736786159.jpg' />的否证，从而证明它是矛盾式。
若<img src='https://img2.soutiyun.com/latex/latex.action' />，<img src='https://img2.soutiyun.com/latex/latex.action' />试证明时域卷积定理<img src='https://img2.soutiyun.com/latex/latex.action' />和频域卷积定理<img src='https://img2.soutiyun.com/latex/latex.action' />
用真值表证明反演律:<img src='https://img2.soutiyun.com/ask/2021-01-21/980081620488771.png' />
证明不等式：<img src='https://img2.soutiyun.com/ask/2020-08-18/966606791867552.png' />
设n是大于零的整数，p为素数，证明<img src='https://img2.soutiyun.com/ask/2020-09-28/970161671001187.jpg' />
证明恒等式：<img src='https://img2.soutiyun.com/ask/2020-08-10/965923265077714.png' />
证明：若f为函数，则<img src='https://img2.soutiyun.com/ask/2020-08-12/966099742187747.png' />
证明:若<img src='https://img2.soutiyun.com/ask/2020-11-13/974144553195733.png' />
