understanding of each vs understanding

Some examples from the web:

• Collaboration between scientists promotes mutual understanding of each other's cultures.
• Easier understanding of each other's systems or common basis, such as through CCCTB, would also help.
• The two of you have an understanding of each other, a shorthand that I've never known.
• Knowledge and understanding of each other's culture will greatly enhance cooperation in every field between Latin America and the European Union.
• In addition it is desirable for people working in this field to have a better understanding of each other's and the European Union's regulations.
• However, they were an important further step to get a better understanding of each other's positions.
• Both sides have shown interest in deepening our cooperation on justice and home affairs and in increasing understanding of each other's regulatory and political frameworks.
• Besides, we live so close to one another that there is almost no barrier to our understanding of each other already.
• European cooperation of this kind will also encourage contacts between Member States and help improve knowledge and understanding of each other's legal systems.
• This may mean further work on some of the more sensitive issues after the summit, so that we improve understanding of each other's expectations and possibilities for movement.
• This can serve as a basis for improving understanding of each other's concerns and can pave the way for finding common solutions.
• This interaction at the highest level enhances the flow of information between all parties involved, promotes mutual understanding of each other's policy views and allows for a dialogue on issues of common interest, in full respect of the respective responsibilities.
• 1. In furtherance of the principles set forth in this Agreement, the Parties agree that it is in their common interest to share information which will facilitate the effective application of their respective competition laws and promote better understanding of each others enforcement policies and activities.
• The understanding of financial management has improved under your presidency and so, I believe, has the institutions' understanding of each other.
• This meeting, which took place in a very positive atmosphere, enabled both partners to come to a better understanding of each other's position and how they arrived at that position.
• Such cooperation shall aim to enhance the mutual understanding of each other's SPS measures and to facilitate trade between the Parties, and may include:
• The Council believes that exchange and contacts between citizens of Belarus and the EU are of vital importance, not only to help Belarusian children, but also to improve our understanding of each other.
• to foster enhanced exchange of information regarding the applicable legislation and possible future legislative reforms in the telecommunications sector in order to allow a better understanding of each other's regulatory framework on telecommunications;
• (a) the exchange of personnel and experts, for the purposes of promoting the mutual understanding of each other's customs law, procedures and techniques;
• Finally, the social and human aspects of the partnership show today, more than ever, its relevance, creating bridges across the Mediterranean and promoting a better understanding of each other's cultures and societies.

Some examples from the web:

• Well a man of Christian understanding.
• Maybe we've stumbled on something beyond our understanding.
• As a single proton fills our scene, we reach the edge of present understanding.
• Mr President, Commissioner Patten has our understanding.
• Mr Kuhne says: we need greater intercultural understanding.
• Her actions are beyond my understanding.
• Because you helped her come to that understanding.
• A little understanding could make things better.
• Your compassion and understanding has only made him weaker.
• Communication is the first step to deeper understanding between people.
• George Washington Carver says all learning is understanding relationships.
• She just needs a little patience and understanding.
• This kid needs love and understanding and patience.
• Essential to develop understanding about equality challenges.
• - increase mutual understanding through education and culture.
• Theoretical knowledge and understanding shall be demonstrated by examinations.
• Magnificent praises something beyond normal understanding.
• Direct contact fosters mutual understanding and relations at all levels.
• You're dealing with forces beyond your understanding.
• 100000 years is beyond our understanding and imagination.