Takeda in Chinese / Japanese...

武田 is a Japanese surname that romanizes as Takeda.

This can also be the Japanese surnames Muta, Tageta, Takedo, or Taketa.

竹田 is a Japanese surname that romanizes as Takeda.

In Chinese, this can refer to Chutien township in Pingtung County, Taiwan.

Other Japanese romanizations for this name include Chikuden, Chikuda, Taketa, or Okamura.

大東流合気柔術 is Daitō-ryū Aiki-jūjutsu, a Japanese martial art established by Takeda Sōkaku.

The most famous student of Daitō-ryū Aiki-jūjutsu is Morihei Ueshiba who later founded the school or branch of martial arts known as Aikido.

Note: 大東流合気柔術 can also be romanized as Daito-ryu Aiki-Jujutsu, Daitou-ryuu Aiki-Juujutsu or Daito-ryu Aiki-Jujitsu.

風林火山 is the battle strategy and proverb of Japanese feudal lord Takeda Shingen (1521-1573 AD).

This came from the Art of War by Chinese strategist and tactician Sun Tzu (Sunzi).

You can think of this as a sort of abbreviation to remind officers and troops how to conduct battle.

風林火山 is literally a word list: Wind, Forest, Fire, Mountain.

The more expanded meaning is supposed to be...

"Swift as the wind, quiet as the forest, fierce as fire, and immovable as a mountain"

"As fast as the wind, as quiet as the forest, as daring as fire, and immovable as the mountain"

"Move as swift as the wind, stay as silent as a forest, attack as fierce as fire, undefeatable defense like a mountain"

"Move swiftly like the wind, stay silent like the forest, attack fiercely like fire, take tactical position on the mountain"

See Also:  Art of War