We start by recalling some background. A locally convex topological vector space V has a topology that is defined by some family of seminorms
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 People like to say that they are in a relationship because they are in Love and want to spend the rest of their lives together; yet, most relationships have at least one person in it because of fear.
We lay aside letters never to read them again, and at last we destroy them out of discretion, and so disappears the most beautiful, the most immediate breath of life, irrecoverable for ourselves and for others.
Men grasp a situation as a whole and think globally, while women think locally, relying on details and nuances.
 People like to say that they are in a relationship because they are in Love and want to spend the rest of their lives together; yet, most relationships have at least one person in it because of fear.
I know that you have been supportive and that you are trying to understand, but I need more. I need you to be willing to talk more. You always tell me that it is not my fault and that it was our best decision...that is not what I want to hear from you...
When men and women get together, there are, in effect, two worlds his and hers. They have different values, priorities, and habits. They play by different rules.
{?randoim1?} Scientists have come to accept that a few fundamental differences between men and women are biological. It turns out that men's and women's brains, for example, are not only different, but the way we use them differs too. Women have larger connections and more frequent interaction between their brain's left and right hemispheres. This accounts for women's ability to have better verbal skills and intuition. Men, on the other hand, have greater brain hemisphere separation, which explains their skills for abstract reasoning and visual-spatial intelligence. Poet Robert Bly describes women's brains as a "superhighway" of connection while men s brains connections are compared to a "little crookedy country road.'"
{random2} Different habits of men and women are explained by different roles in the process of evolution. Although life conditions have changed, both men and women tend to follow their biological programs.
Men tend to retain a firm sense of direction they need to trace the game, catch it, and find the way home, while women have a better peripheral vision that helps them to see what s happening around the house, to spot an approaching danger, to notice changes in the children s behavior and appearance. Men s brains are programmed to hunting, which explains their narrow range of vision, while women s brains are able to decipher a wider range of information
When entering a room, men look for exits, estimating a possible threat, and ways of escape, while women pay attention to the guests faces to find out who they are and how they feel. Men are able to sort out information and archive it in their head. Women tend to rewind the information over and over again. The only way to stop thinking of the problems is to talk it over. When a woman shares her problems with a man, she is not looking for solutions she needs someone to listen to her.
Men prefer strident noises, hard handshakes, and red color. They are better at solving technical problems. Women have a sharper ear, they use more words while talking, and are better at completing tasks independently.

Based on these biologically explained differences, some psychological distinctions between men and women can be established:

- Men grasp a situation as a whole and think globally, while women think locally, relying on details and nuances.
- Men are builders and creators. They take risks and experiment, while women select the most valuable knowledge and pass it over to the next generation.
- Men are more independent in their thoughts and actions, while women are more willing to follow the ideas suggested by others.
- Women s self-appraisal is lower than that of men. Women tend to criticize themselves, while men are more satisfied with their own performance.
- Men and women have different sources of satisfaction. For men it s career and prosperity, while women value family and kids.
- Men have a pronounced need to fulfill their goals, and women rank relationships with others first.
- Men get sick twice as often as women, although women tend to be more concerned about their health.
- Women endure pain and monotonous work better than men.

All the above gets even more confusing, if we take into account that 15 to 20% of men happen to have a female type of brains, and about 10% of women have a male type of brains, which means that some percentage of men and women, no matter how small it seems, are partially programmed to the behavior and way of thinking of the opposite gender.

"Okay, I understand the problem", you are saying to yourself, but -"what's the solution"? That depends on whether you are a woman or a man.