What is a pole? What is a pole pole?

During long-distance running, there are often breathlessness, chest tightness, weakness in the limbs, and the feeling that it is difficult to keep running, a phenomenon called "pole". When the "pole" is generated, if you can continue to run with tenacious perseverance, the spirit will be reinvigorated, and even if the running distance is doubled, you will not get tired, and these changes in the functional state are called "second breaths" in exercise physiology.

The appearance of the "pole" is the reaction of the body when the oxygen supply is insufficient during the long-term intense exercise of the human body.

It is mainly manifested in cerebral ischemia, hypoxia and muscle hypoxia.

The pole is the pain in the lower left corner of your stomach that occurs when you don't get enough exercise beforehand during sports.

The North Pole of the North Pole and the South Pole of the South Pole are both called poles.

The maximum and minimum values that can be achieved.

PolePole wireThe basic theorem is that a is on the polar line of b, then b is on the polar line of a.

In mathematics, the polar line is usually a conic curve that is applied to it.

If the tangent of a conic curve is tangent to two points, a and b.

Intersects at point p, then point p is called the pole of the straight line ab with respect to the curve, and the straight line ab is called the pole of point p. However, the first spring definition above only applies if the p-point is outside this conic curve.

1. Any point in the projective plane is for a fixed quadratic curve.

c, there is and only one pole line. Conversely, any straight line in the projective plane has one and only one pole for a fixed quadratic curve c. This can be derived directly from the definition.

2. (Polarity Matching Principle) For the same quadratic curve C, if the pole line of point P passes through point Q, then the pole line of point Q passes through point P. Conversely, if the pole of the line p is on the line q, then the pole of the line q is on the line p.

3. The pole of the two-point connection line is the intersection point of the pole line of the two points; The pole of the intersection of two straight lines is the line connecting the poles of these two straight lines. There are two points A and B, and their respective pole lines intersect at Fengqin You C, then according to the pole matching principle, C is on the pole line of A and A is on the pole line of C. In the same way, b is on the polar line of c.

From two points to determine a silver pin straight line, we can know that ab is the pole of c, that is, c is the pole of ab. Similar to the latter.

For example, 1 x 3 has a third-order pole.

1 x 3 + 1 x 2 is a third-order pole. It is only decided by the relatively large 3.

Others need to be formulated into polynomials by Taylor's formula.

Isolated singularities are divided into intrinsic singularities, removable singularities, and poles. The intrinsic singularity refers to the point where the denominator is 0 in the complex type, such as sin (z rises late by 1 z), z 1 power, etc. Both the singularity and the pole refer to points with a denominator of 0.

Bring z into the equation and find the m-level poles as the denominator respectively (if brought in, the result is 0. Continue to find the derivative until the derivative a is done, and the result is not 0, m a), find the n-order poles of the molecule, and n m is the number of poles. When n m is 0, it is a removable singularity.

Extended stool smile back to information:

At each pole, the gain is attenuated by -3dB and the phase is shifted by -45 degrees. After the pole, the gain decreases by 20 dB for every ten octavesThe zero point is the opposite of the pole; At each zero point, the gain increases by 3db and shifts by 45 degrees.

After zero, the jujube hunger gain increases by 20db for every 10 octaves.

Closed-loop gain a0: a 1+ab=1 b (when a is large), where a is the open-loop gain, b is the feedback factor, which can be understood as the ratio of the feedback amount to the output amount, when the open-loop gain approaches infinity, the closed-loop gain is the reciprocal of the feedback factor.

The pole is a manifestation of a temporary disturbance of function during exercise.

When the human body is exercising vigorously, because the activity ability of the internal organs lags behind the needs of the motor organs at the beginning of the exercise, it often produces a very uncomfortable feeling, at this time it feels difficult to breathe, slow in action, depressed, and even unwilling to continue to exercise under the judgment, this state is called "pole".

"Pole" and "second breath" are common physiological phenomena in long-distance running, and the morning and evening of the pole are directly related to the individual's physique and training level. In order to face them calmly during running, runners should strengthen their exercise and continuously improve their body's adaptability to exercise, which can delay the appearance of poles and reduce symptoms.

Notes:

Before sports or competitions, students should pay attention to maintaining good sleep and energy savings, and should control excessive food and water consumption before competitions, and do not drink alcohol. After exercising or competing, you should do a good job of relaxation activities to regain your strength and muscle strength as soon as possible. The method is to perform relaxing shaking and patting of various parts of the body, and the two work together to massage each other.

The pole is a normal phenomenon in middle-distance running, and when the "pole" appears, you should continue to run with a tenacious will, while strengthening your breathing and adjusting your pace. In this way, after a certain distance, the breathing becomes even, the movement feels relaxed again, and all uncomfortable sensations disappear, which is the so-called second breathing state.

The above content reference: Encyclopedia - Pole Phenomenon.

A pole is a point where the denominator of the transfer function of a linear time-invariant system is zero. For the Laplace transform, the pole is stable in the left half of the plane system. For linear discrete-time systems, the system is stable when the poles are within the unit circle.

According to the position of the zero pole of the system, the amplitude and frequency characteristics of the system can be analyzed. The occurrence of "poles" is mainly caused by the inertia of internal organs. Because when the human body goes from a relatively quiet state to strenuous exercise, the muscles of the limbs can quickly adapt and enter the working state, while the internal organs, such as the respiratory and circulatory systems, cannot quickly exert their highest functional levels, resulting in hypoxia in the body, and a large amount of lactic acid and carbon dioxide accumulation.

It is a normal physiological phenomenon that the coordination between the autonomic nerve center and the somatic nerve center is temporarily disrupted, which is manifested as the generation of "poles". It is related to the level of training, pre-exercise preparation activities, and in people who regularly participate in exercise, the "pole" appears later, the duration is shorter, and the body reaction is lighter; Conversely, the "poles" appear early, last longer, and manifest more severely.

The pole is the vertex of the angular coordinate in the polar coordinate system. Take a point o as the pole on the plane. From O a ray ox is introduced, which is called the polar axis.

Then take a unit length, and usually specify that the angle is positive in the counterclockwise direction. The position of any point p on the plane can be determined by the length of the line segment op and the angle from ox to op, and the ordinal pair ( , which is called the polar coordinates of the p point; The polar diameter called the p-point is called the polar angle of the p-point. The coordinate system consisting of the poles, polar axes, and polar diameters in the plane is the polar coordinate system.