Finger speed algorithm
Chapter 1 Basic knowledge of computing
Chapter 1 Basic knowledge of computing (1)
(Section [-]) The relationship between numbers and finger contacts
On both hands, the contacts of the fingertips of the same finger (index finger, thumb or ring finger) on different positions of the middle finger indicate different numbers, that is to say, when doing calculations, the numbers are drawn with fingers (index finger, thumb, ring finger) It is represented by the contact point of the fingertip at different positions of the middle finger.Therefore, in order to make the fingertips of each finger accurately touch different positions on the middle finger to represent different numbers, here, we put the index finger, tang finger, and ring finger on the middle finger that need to touch each position to represent different numbers, respectively. Mark it with five straight lines, and attach the corresponding left and right hands.
We call the straight line passing through the tip of the middle finger in the plane where the palm is located as the first line, the straight line passing through the joint between the first joint and the second joint is called the second line, the straight line passing through the middle of the second joint is called the third line, and the straight line passing through the second joint is called the third line. The line at the joint with the third condyle is called the fourth line.In special cases, the fifth line is also used, which is a straight line passing through the middle of the third joint of the middle finger.Because the fingers are thick and short, it is difficult to touch the first line naturally. At this time, the fifth line is used to replace the first line, and in the simplified diagram, the fifth line is represented by the first line.
The middle finger can be regarded as a straight line that is in the same plane as the palm and perpendicular to the five straight lines, referred to as the middle finger line; secondly, turning the corner at the top of the diagram to the left indicates the left hand, and turning to the right indicates the 7K right hand.
We use the method of contrasting with the relationship between the numbers in the abacus calculation and the beads to describe the relationship between the numbers in the abacus calculation and the finger contacts.On the abacus, the situation is exactly the same between the different levels. On each level, the upper frame is one bead, and the lower frame is four beads. I learned to use different combinations of beads to represent different numbers on the same level. Then you have mastered the method of expressing characters on other gears; and in counting, use the fingertips of the index finger, thumb, and ring finger of the left and right hands to represent different numbers at different positions of the middle finger, so , we can collectively refer to the index finger, thumb, and ring finger of the left and right hands as the counting finger, because the positions of the counting fingers are different, the lengths are different, and they are on different hands, so for the same number, use different counting fingers on the middle finger The contacts are shown, and the situation is not the same.
On the abacus, when a bead rests on the beam, it represents the number "1".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are on the left side of the middle finger respectively, and the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the right side of the middle finger and the first line of contact (strictly speaking, the index finger and ring finger are shorter than the middle finger, It is impossible for the fingertips to touch the first line. The "contact" mentioned here is approximate), the tip of the thumb of the left hand is on the left side of the middle finger, and the tip of the right thumb is on the right side of the middle finger. The number "1" is represented on the counting fingers; on the first line of the left and right hand sketches, the middle finger line corresponding to the left index finger and the right ring finger respectively. The triangle symbol with an arrow pointing down on the right side of the line, the triangle symbol with an arrow pointing down on the middle finger line corresponding to the left thumb, and the triangle symbol with an arrow pointing right on the middle finger line corresponding to the right thumb respectively represent the number "1" on each counting finger. ".
On the abacus, when two beads lean against the beam, it represents the number "2".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are respectively on the left side of the middle finger; the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the right side of the middle finger; The touch points represent the number "2" on each counting finger; on the second line of the left and right hand sketches, the triangle symbol on the left of the middle finger line corresponding to the left index finger and the right ring finger respectively, and the triangle symbol with the arrow pointing down on the left and the left ring finger and right index finger The triangle symbol with the arrow pointing down on the right side of the middle finger line corresponding to the left thumb, the triangle symbol with the arrow pointing down on the middle finger line corresponding to the left thumb, and the triangle symbol with the arrow pointing right on the middle finger line corresponding to the right thumb respectively represent the upward movement of each counting finger. the number "2".
On the abacus, when three beads lean against the beam, it represents the number "3".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are on the left side of the middle finger respectively; the tip of the ring finger of the left hand and the tip of the index finger of the right hand are respectively on the right side of the middle finger; The touch points represent the number "3" on each counting finger; on the third line of the left and right hand arrow diagrams, the triangle symbol on the left arrow pointing down on the middle finger line corresponding to the left index finger and right ring finger respectively, and the left ring finger and right index finger The triangle symbol with the arrow pointing down on the right side of the middle finger line corresponding to the left thumb, the triangle symbol with the arrow pointing down on the middle finger line corresponding to the left thumb, and the triangle symbol with the arrow pointing right on the middle finger line corresponding to the right thumb respectively represent the upward movement of each counting finger. The number "3".
On the abacus, when four beads lean against the beam, it represents the number "4".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are respectively on the left side of the middle finger; the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the right side of the middle finger; The contact points represent the number "4" on each counting finger; on the fourth line of the left and right hand arrows, the triangle symbol on the left side of the middle finger line corresponding to the left index finger and right ring finger respectively, and the triangle symbol on the left side of the left ring finger, The right index finger corresponds to the triangle symbol with an arrow facing down on the middle finger line, the triangle symbol with an arrow pointing to the left on the middle finger line corresponding to the left thumb, and the triangle symbol with an arrow pointing to the right on the middle finger line corresponding to the right thumb. Point to the number "4".
On the abacus, a bead on the beam represents the number "5".On the left and right hands, the index finger and the ring finger are stretched backward respectively, and they do not touch the middle finger behind the middle finger, and the thumbs of both hands are respectively attached to the palms of the hands. On the top of the first line, the middle finger line corresponding to the left index finger and the right ring finger respectively, the triangle symbol with an upward arrow on the left, the middle finger line corresponding to the left ring finger and the right index finger, the triangle symbol with an upward arrow on the right, and the middle finger corresponding to the left thumb The triangle symbol with an arrow pointing to the right on the line, and the triangle symbol with an arrow pointing to the left on the middle finger corresponding to the right thumb respectively represent the number "5" on each counting finger.
On the abacus, one upper bead and one lower bead rest on the beam at the same time to represent the number "6".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are respectively on the back of the left side of the middle finger, the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the back of the middle finger and the first line of contact, the tip of the left thumb is on the right of the middle finger, and the tip of the right thumb is on the right side of the middle finger. The tip on the left side of the middle finger and the contact point of the fifth line represent the number "6" on each counting finger; on the first line of the left and right hand sketches, the left arrows of the middle finger line corresponding to the left index finger and right ring finger respectively point upwards The triangle symbol of the middle finger corresponding to the ring finger of the left hand and the index finger of the right hand, the triangle symbol of the right arrow pointing up, the triangle symbol of the arrow pointing right on the middle finger line corresponding to the left thumb, the arrow pointing left of the middle finger line corresponding to the right thumb The triangular symbols respectively represent the number "6" on each counting finger.
On the abacus, one upper bead and two lower beads lean on the beam at the same time to represent the number "7".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are respectively on the left back of the middle finger; the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the back of the right side of the middle finger; The contacts on the second line respectively represent the number "7" on each counting finger; on the second line of the left and right hand sketches, the triangle symbol on the left of the middle finger line corresponding to the left index finger and the right ring finger respectively, and the left ring finger, The right index finger corresponds to the triangle symbol with an upward arrow on the middle finger line, the triangle symbol with an arrow pointing to the right on the middle finger line corresponding to the left thumb, and the triangle symbol with an arrow pointing to the left on the middle finger line corresponding to the right thumb. The number "7."
On the abacus, one upper bead and three lower beads lean on the beam at the same time to represent the number "8".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are respectively on the left back of the middle finger; the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the back of the right side of the middle finger; The contact points on the third line represent the number "8" on each counting finger; on the third line of the left and right hand sketches, the triangle symbol on the left of the middle finger line corresponding to the left index finger and the right ring finger respectively, and the left ring finger, The right index finger corresponds to the triangle symbol with an upward arrow on the middle finger line, the triangle symbol with an arrow pointing to the right on the middle finger line corresponding to the left thumb, and the triangle symbol with an arrow pointing to the left on the middle finger line corresponding to the right thumb. on the number "8."
On the abacus, one upper bead and four lower beads lean on the beam at the same time to represent the number "9".On the left and right middle fingers, the first knuckle ends of the left index finger and right ring finger are on the left side of the middle finger respectively; the first knuckle ends of the left ring finger and right index finger are on the right side of the middle finger respectively; The tip is on the left side of the middle finger and the contact point of the fourth line, respectively represents the number "9" on each counting finger; on the fourth line of the diagram of the left and right hands, the arrows on the left of the middle finger line corresponding to the left index finger and right ring finger respectively The upward triangle symbol, the middle finger line corresponding to the left ring finger and the right index finger respectively, the right arrow triangle symbol, the arrow pointing right on the middle finger line corresponding to the left thumb, the arrow pointing right on the middle finger line corresponding to the right thumb, the arrow pointing left on the middle finger line corresponding to the right thumb The triangular symbols of represent the number "9" on each counting finger.
On the abacus, all the beads are separated from the beam and framed to represent the number "0".On the left and right hands, the index finger, thumb, and ring finger are stretched in front of the middle finger respectively. When they do not touch each other, the number "0" is represented on each counting finger; The number "0" on each counting finger.
(End of this chapter)
(Section [-]) The relationship between numbers and finger contacts
On both hands, the contacts of the fingertips of the same finger (index finger, thumb or ring finger) on different positions of the middle finger indicate different numbers, that is to say, when doing calculations, the numbers are drawn with fingers (index finger, thumb, ring finger) It is represented by the contact point of the fingertip at different positions of the middle finger.Therefore, in order to make the fingertips of each finger accurately touch different positions on the middle finger to represent different numbers, here, we put the index finger, tang finger, and ring finger on the middle finger that need to touch each position to represent different numbers, respectively. Mark it with five straight lines, and attach the corresponding left and right hands.
We call the straight line passing through the tip of the middle finger in the plane where the palm is located as the first line, the straight line passing through the joint between the first joint and the second joint is called the second line, the straight line passing through the middle of the second joint is called the third line, and the straight line passing through the second joint is called the third line. The line at the joint with the third condyle is called the fourth line.In special cases, the fifth line is also used, which is a straight line passing through the middle of the third joint of the middle finger.Because the fingers are thick and short, it is difficult to touch the first line naturally. At this time, the fifth line is used to replace the first line, and in the simplified diagram, the fifth line is represented by the first line.
The middle finger can be regarded as a straight line that is in the same plane as the palm and perpendicular to the five straight lines, referred to as the middle finger line; secondly, turning the corner at the top of the diagram to the left indicates the left hand, and turning to the right indicates the 7K right hand.
We use the method of contrasting with the relationship between the numbers in the abacus calculation and the beads to describe the relationship between the numbers in the abacus calculation and the finger contacts.On the abacus, the situation is exactly the same between the different levels. On each level, the upper frame is one bead, and the lower frame is four beads. I learned to use different combinations of beads to represent different numbers on the same level. Then you have mastered the method of expressing characters on other gears; and in counting, use the fingertips of the index finger, thumb, and ring finger of the left and right hands to represent different numbers at different positions of the middle finger, so , we can collectively refer to the index finger, thumb, and ring finger of the left and right hands as the counting finger, because the positions of the counting fingers are different, the lengths are different, and they are on different hands, so for the same number, use different counting fingers on the middle finger The contacts are shown, and the situation is not the same.
On the abacus, when a bead rests on the beam, it represents the number "1".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are on the left side of the middle finger respectively, and the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the right side of the middle finger and the first line of contact (strictly speaking, the index finger and ring finger are shorter than the middle finger, It is impossible for the fingertips to touch the first line. The "contact" mentioned here is approximate), the tip of the thumb of the left hand is on the left side of the middle finger, and the tip of the right thumb is on the right side of the middle finger. The number "1" is represented on the counting fingers; on the first line of the left and right hand sketches, the middle finger line corresponding to the left index finger and the right ring finger respectively. The triangle symbol with an arrow pointing down on the right side of the line, the triangle symbol with an arrow pointing down on the middle finger line corresponding to the left thumb, and the triangle symbol with an arrow pointing right on the middle finger line corresponding to the right thumb respectively represent the number "1" on each counting finger. ".
On the abacus, when two beads lean against the beam, it represents the number "2".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are respectively on the left side of the middle finger; the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the right side of the middle finger; The touch points represent the number "2" on each counting finger; on the second line of the left and right hand sketches, the triangle symbol on the left of the middle finger line corresponding to the left index finger and the right ring finger respectively, and the triangle symbol with the arrow pointing down on the left and the left ring finger and right index finger The triangle symbol with the arrow pointing down on the right side of the middle finger line corresponding to the left thumb, the triangle symbol with the arrow pointing down on the middle finger line corresponding to the left thumb, and the triangle symbol with the arrow pointing right on the middle finger line corresponding to the right thumb respectively represent the upward movement of each counting finger. the number "2".
On the abacus, when three beads lean against the beam, it represents the number "3".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are on the left side of the middle finger respectively; the tip of the ring finger of the left hand and the tip of the index finger of the right hand are respectively on the right side of the middle finger; The touch points represent the number "3" on each counting finger; on the third line of the left and right hand arrow diagrams, the triangle symbol on the left arrow pointing down on the middle finger line corresponding to the left index finger and right ring finger respectively, and the left ring finger and right index finger The triangle symbol with the arrow pointing down on the right side of the middle finger line corresponding to the left thumb, the triangle symbol with the arrow pointing down on the middle finger line corresponding to the left thumb, and the triangle symbol with the arrow pointing right on the middle finger line corresponding to the right thumb respectively represent the upward movement of each counting finger. The number "3".
On the abacus, when four beads lean against the beam, it represents the number "4".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are respectively on the left side of the middle finger; the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the right side of the middle finger; The contact points represent the number "4" on each counting finger; on the fourth line of the left and right hand arrows, the triangle symbol on the left side of the middle finger line corresponding to the left index finger and right ring finger respectively, and the triangle symbol on the left side of the left ring finger, The right index finger corresponds to the triangle symbol with an arrow facing down on the middle finger line, the triangle symbol with an arrow pointing to the left on the middle finger line corresponding to the left thumb, and the triangle symbol with an arrow pointing to the right on the middle finger line corresponding to the right thumb. Point to the number "4".
On the abacus, a bead on the beam represents the number "5".On the left and right hands, the index finger and the ring finger are stretched backward respectively, and they do not touch the middle finger behind the middle finger, and the thumbs of both hands are respectively attached to the palms of the hands. On the top of the first line, the middle finger line corresponding to the left index finger and the right ring finger respectively, the triangle symbol with an upward arrow on the left, the middle finger line corresponding to the left ring finger and the right index finger, the triangle symbol with an upward arrow on the right, and the middle finger corresponding to the left thumb The triangle symbol with an arrow pointing to the right on the line, and the triangle symbol with an arrow pointing to the left on the middle finger corresponding to the right thumb respectively represent the number "5" on each counting finger.
On the abacus, one upper bead and one lower bead rest on the beam at the same time to represent the number "6".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are respectively on the back of the left side of the middle finger, the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the back of the middle finger and the first line of contact, the tip of the left thumb is on the right of the middle finger, and the tip of the right thumb is on the right side of the middle finger. The tip on the left side of the middle finger and the contact point of the fifth line represent the number "6" on each counting finger; on the first line of the left and right hand sketches, the left arrows of the middle finger line corresponding to the left index finger and right ring finger respectively point upwards The triangle symbol of the middle finger corresponding to the ring finger of the left hand and the index finger of the right hand, the triangle symbol of the right arrow pointing up, the triangle symbol of the arrow pointing right on the middle finger line corresponding to the left thumb, the arrow pointing left of the middle finger line corresponding to the right thumb The triangular symbols respectively represent the number "6" on each counting finger.
On the abacus, one upper bead and two lower beads lean on the beam at the same time to represent the number "7".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are respectively on the left back of the middle finger; the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the back of the right side of the middle finger; The contacts on the second line respectively represent the number "7" on each counting finger; on the second line of the left and right hand sketches, the triangle symbol on the left of the middle finger line corresponding to the left index finger and the right ring finger respectively, and the left ring finger, The right index finger corresponds to the triangle symbol with an upward arrow on the middle finger line, the triangle symbol with an arrow pointing to the right on the middle finger line corresponding to the left thumb, and the triangle symbol with an arrow pointing to the left on the middle finger line corresponding to the right thumb. The number "7."
On the abacus, one upper bead and three lower beads lean on the beam at the same time to represent the number "8".On the left and right middle fingers, the tip of the index finger of the left hand and the tip of the ring finger of the right hand are respectively on the left back of the middle finger; the tip of the ring finger of the left hand and the tip of the right index finger are respectively on the back of the right side of the middle finger; The contact points on the third line represent the number "8" on each counting finger; on the third line of the left and right hand sketches, the triangle symbol on the left of the middle finger line corresponding to the left index finger and the right ring finger respectively, and the left ring finger, The right index finger corresponds to the triangle symbol with an upward arrow on the middle finger line, the triangle symbol with an arrow pointing to the right on the middle finger line corresponding to the left thumb, and the triangle symbol with an arrow pointing to the left on the middle finger line corresponding to the right thumb. on the number "8."
On the abacus, one upper bead and four lower beads lean on the beam at the same time to represent the number "9".On the left and right middle fingers, the first knuckle ends of the left index finger and right ring finger are on the left side of the middle finger respectively; the first knuckle ends of the left ring finger and right index finger are on the right side of the middle finger respectively; The tip is on the left side of the middle finger and the contact point of the fourth line, respectively represents the number "9" on each counting finger; on the fourth line of the diagram of the left and right hands, the arrows on the left of the middle finger line corresponding to the left index finger and right ring finger respectively The upward triangle symbol, the middle finger line corresponding to the left ring finger and the right index finger respectively, the right arrow triangle symbol, the arrow pointing right on the middle finger line corresponding to the left thumb, the arrow pointing right on the middle finger line corresponding to the right thumb, the arrow pointing left on the middle finger line corresponding to the right thumb The triangular symbols of represent the number "9" on each counting finger.
On the abacus, all the beads are separated from the beam and framed to represent the number "0".On the left and right hands, the index finger, thumb, and ring finger are stretched in front of the middle finger respectively. When they do not touch each other, the number "0" is represented on each counting finger; The number "0" on each counting finger.
(End of this chapter)
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