I Will Win in Chinese / Japanese...

知彼知己百戰不殆 is from Sun Tzu's (Sunzi's) Art of War. It means that if you know and understand the enemy, you also know yourself, and thus with this complete understanding, you cannot lose.

This proverb is often somewhat directly translated as “Know the enemy and know yourself, and you can fight a hundred battles without defeat.”

It can also be translated as “If you know both yourself and your enemy, you can come out of hundreds of battles without danger,” or “Know your enemy, know yourself, and your victory will not be threatened.”

敵を知り己を知れば百戦危うからず is the longer/full Japanese version of this proverb. This means “Know your enemy, know yourself, and you will not fear a hundred battles.”

Others will translate this as “Know thy enemy, know thyself, yields victory in one hundred battles.”

Note: Because this selection contains some special Japanese Hiragana characters, it should be written by a Japanese calligrapher.

不能咬人就别龇牙 is a Chinese proverb that literally translates as: [if you] can't bite people, don't bare [your] teeth.

Figuratively, this means: Don't show your anger if you can't do anything about the situation.

Some will also say this means “Don't start a fight that you cannot win.” Others will say it means that you must be willing to back up your words (perhaps with your fists).

Perhaps a pacifist view or perhaps the best kind of victory; 兵不血刃 reflect this idea:
The edges of the swords not being stained with blood.

You could also translate it as: Win victory without firing a shot.

The first character means army or force. The second character means without or none. The last two characters mean bloodstained knives. So it represents a returning victorious army without bloodstained knives. 兵不血刃 is the very literal sense of this Chinese proverb. The title definition is more accurate to the way this proverb is understood.

Asking yourself why the direct or literal translation is different?
...Think of compound words in English such as “nevertheless” if we break it apart to “never the less,” we will have trouble getting the real definition of “in spite of that.” Similar things happen when multiple characters create a compounded word in Chinese.

In 632 BC, Duke Wen of the Kingdom of Jin was about to lead an army against the forces of the Kingdom of Chu.
The Duke asked one of his advisers, Jiu Fan, how they could win the impending battle, as they were drastically outnumbered.
Jiu Fan said, “All is fair in war,” and suggested a plan of dishonorable tactics (cheating).
The Duke was unsure of this advice, so he asked another adviser, Yong Ji, who replied, “If you catch fish by draining the pond, you can certainly get all the fish. But there will be no fish the following year. You can cheat this one time in battle, but such tactics can only be used once, as the enemy will be wise in future encounters.”

The Duke heard the words of his wiser adviser but cheated to gain victory in the battle. However, he rewarded Yong Ji more than Jiu Fan at the victory celebration, stating that while Jiu Fan's advice gained one victory, the wise words of Yong Ji would last forever.

This Chinese idiom/proverb is still used, over 2600 years later to remind people not to burn bridges, cheat, or dishonor themselves in exchange for a short-term gain while sacrificing the future.

竭澤而漁 is very similar to the meaning of the English phrase, “Kill the goose that lays the golden eggs.”