Calculation formula of AI force unit

1. For example, am corresponds to the m-th item in the sequence, an corresponds to the n-th item in the sequence, and so on

2. Summary of common mathematical formulas: 1. Basic algebraic formula: 1. Square difference formula: (a + b) × A-b) = A2-B2
2 ± b2＝a2 ± 2Ab + B2
complete cubic formula: (a) ± b3=a ± b) (A2
AB + B2)
3 × An = am + n (m, n are positive integers, a ≠ 0)
divide by the same base power: am ÷ An = am-n (M and N are positive integers, a ≠ 0)
A0 = 1 (a ≠ 0)
A-P =
(a ≠ 0, P is positive integer)
4.
arithmetic sequence:
(1) Sn
=
= Na1 +
n (n-1) d< br />2an＝a1＋n－1d< br />3n
＝
＋1
(4) if a, a and B are equal difference sequence, then: 2A = a + B
(5) if M + n = K + I, then: am + an = AK + AI

(where: n is the number of terms, A1 is the first term, an is the last term, D is the tolerance, Sn is the sum of the first n terms of the arithmetic sequence)
5.
arithmetic sequence:
(1) an = a1q-1
(2) Sn
=
(Q
1)
(3) if a, G and B are in equal proportion sequence, then: G2 = AB
(4) if M + n = K + I, then: am? An = AK? AI

(5) am an = (m-n) d
(6)
= q (m-n)
(where: n is the number of terms, A1 is the first term, an is the last term, q is the common ratio, Sn is the sum of the first n terms of the equal ratio sequence)
6. The root finding formula of univariate quadratic equation: AX2 + BX + C = a (x-x1) (x-x2)
where: X1 =
; X2 =
(b2-4ac
0)
relationship between root and coefficient: X1 + x2 = -
, X1? X2 =
2. Basic geometric formula
1.
triangle: three points not on the same line can form a triangle; The sum of the internal angles of a triangle is 180 ° The sum of any two
sides in a triangle is greater than the third side, and the difference between any two sides is less than the third side
(1) angle bisector: the bisector of an angle of a triangle intersects with the opposite side of the angle. The line segment between the vertex of the angle and the intersection is called the bisector of the angle of a triangle
(2) the middle line of a triangle: the line connecting a vertex of a triangle and the midpoint of its opposite edge is called the middle line of the triangle
(3) the height of a triangle: the vertical section of a line from a vertex of a triangle to its opposite side is called the height of a triangle
(4) the median line of a triangle: the line segment connecting the middle points of the two sides of the triangle is called the median line of the triangle
(5) heart: the intersection of bisectors is called heart; The distance from the heart to the three sides of the triangle is equal< Center of gravity: the intersection point of the center line is called the center of gravity; The distance from the center of gravity to the center of each side is equal to one third of the center line on this side
vertical line: the intersection of high lines is called vertical line; The line between a vertex of a triangle and the perpendicular must be perpendicular to the opposite side
outer center: the intersection of the vertical bisectors of the three sides of a triangle is called the outer center of the triangle. The distance from the outer center to the three vertices of the triangle is equal< Right triangle: a triangle with an angle of 90 degrees is a right triangle
the properties of right triangle:
(1) the two acute angles of right triangle are complementary to each other
(2) the middle line on the hypotenuse of a right triangle is equal to half of the hypotenuse
(3) in a right triangle, if there is an acute angle equal to 30 °， Then the right side it faces is equal to half of the hypotenuse
(4) in a right triangle, if there is a right side equal to half of the hypotenuse, then the acute angle of the right side is 30 °
(5) in a right triangle, C2 = A2 + B2 (where a and B are the lengths of two right angles and C is the length of oblique sides)
(6) the circumcircle radius of a right triangle is also the center line on the hypotenuse< The judgment of right triangle:
(1) there is an angle of 90 °
(2) the median line on the side is equal to half of the length of the side
(3) if C2 = A2 + B2, the triangle with a, B and C as sides is a right triangle<
2.
area formula:
square = side length × Side length
rectangle =
long × Width
triangle =
×
bottom × High
trapezoid
=

circle
=
R2
parallelogram = bottom × High
sector
=
R2
cube = 6 × Side length × Side length
cuboid = 2 × long × Width + width × High + long × (high)
cylinder = 2 π r2＋2 π rh
surface area of sphere = 4
R2
3.
volume formula
cube = side length × Side length × Side length
cuboid = long × wide × High
cylinder = bottom area × High = sh = π R2h
cone
=
π R2h
ball
=
4.
the formula related to circle
let the radius of circle be r and the distance from point to center be D, then there are:
(1) d < R: the point is in the circle (that is, the inner part of circle is the collection of points whose distance from center is less than radius)
(2) d = R: the point is on the circle (that is, the upper part of the circle is the set of points whose distance from the center of the circle is equal to the radius)
(3) d > R: the point is outside the circle (that is, the outside of the circle is a collection of points whose distance from the center of the circle is greater than the radius)< If the radius of ⊙ o is R and the distance between the center of circle O and the straight line is D, then:
(1) the intersection of the straight line
and ⊙ o: d < R
(2) straight line
tangent to ⊙ o: D = R
(3) straight line
separated from ⊙ o: d > R
properties and judgment of the positional relationship between circles:
let the radii of two circles be r and R respectively, and the center distance of two circles be D, then:
(1) the outer distance of two circles:
< (2) circumscribed two circles:
< (3) two circles intersect:
(
)< (4) two circles inscribed:
(
)< (5) two circles contain:
(
).
circle circumference formula: C = 2 π R＝ π D
(where R is the radius of the circle and D is the diameter of the circle, π ≈3.1415926≈
< The calculation formula of arc length
of center angle of circle:
=

sector area: (1) s sector =
π R2 2) S Fan =
R
if the bottom radius of the cone is R and the generatrix length is l, then its side area: s side = π r

volume of cone: v =
sh =
π r2h

3.

The formula of work: w = fscos α ( In junior high school, the angle between the direction of force and the direction of displacement is 0 α= 0 °， cos0 °= 1, so w = FS)

If a force acts on an object and the object moves a certain distance in the direction of the force, it is said in mechanics that the force has done work. Even if there is force, there may be no work done. For example, in uniform circular motion, the centripetal force does not do work, because the kinetic energy of the object in circular motion does not change. Similarly, a book on the desk, although the desk supports the book, does not work because it has no displacement

generally speaking, there are three cases of no work: no work reactive power, active work reactive power and vertical reactive power No work and no work: only the distance is moved, but no force is generated in the direction of the movement, that is, 0 * FS · cos α= 0 Joule

active and reactive power: there is only force, but it does not move a certain distance in the direction of force, f * 0scos α= 0 Joule; Vertical reactive power: the object not only receives the force, but also passes through a certain distance, but the two directions are perpendicular to each other, fscos90 °= FS * 0 = 0 Joule.)

The unit of work in the international system of units is Joule (J). Joule is defined as the amount of mechanical work done by a force of 1 Newton to displace an object by 1 meter. The unit n · m of the same dimension is sometimes used, but generally n · m is used for moment to distinguish it from work and energy

in the international unit, the unit of work is Joule, abbreviated as "Jiao", the symbol is j, and the unit is j 1J = 1n · m, which is named after the contribution of British physicist James Prescott Joule (1818-1889) to science

Non SI units include Erge, foot pound, kilowatt hour (kW · h), atmospheric pressure and horsepower hour (HP · h). However, e to the same physical quantity - heat energy, occasionally we can see the measurement units in the form of heat energy, such as calories (CAL), BTU and so on

4. The formula is: S = VT
s usually uses the unit of M (m), t usually uses the unit of S (s), V usually uses the unit of M / S (M / s)

5. Unit of enzyme activity (U, active unit)
unit of enzyme activity. According to the International Conference on enzymology in 1961, a unit of enzyme activity refers to the amount of enzyme that can transform 1 micromol of substrate or 1 micromol of related groups in substrate in 1 minute under specific conditions (25 ℃, other optimum conditions)
enzyme activity unit: a unit used to indicate enzyme activity, usually expressed as enzyme amount
one of them is called the international unit of enzyme activity, which is defined as the amount of enzyme required to convert 1 micromol of substrate or 1 micromol of related groups in the substrate within 1 minute under specific conditions, which is called an international unit (IU, also known as U)
another International Conference on enzymology stipulates that the enzyme activity unit is Kat, which is the amount of enzyme that can convert 1 mole of substrate in 1 second under the optimal conditions
the conversion relationship between Kat and U: 1 Kat = 6 × 107u, 1U = 16067n Kat
specific activity: refers to the catalytic activity of an enzyme contained in every milligram of protein. It is used to measure the purity of enzyme. It is the basic data often used in proction and enzyme research.

6. Proction capacity refers to the quantity of procts that can be proced or raw materials that can be processed by all fixed assets that enterprises participate in proction in the planning period under the given organizational and technical conditions. Proction capacity is a technical parameter that reflects the processing capacity of an enterprise. It can also reflect the proction scale of an enterprise. The reason why every enterprise director is very concerned about the proction capacity is that he needs to know whether the proction capacity of the enterprise can adapt to the market demand at any time. When the demand is strong, he needs to consider how to increase the proction capacity to meet the growth of demand; When the demand is insufficient, he needs to consider how to rece the scale, avoid excess capacity and rece the loss as much as possible<

capacity calculation formula:
capacity = unit working time / cycle time
the cycle time of pull refers to the time interval of the pull to proce unit proct, which is equal to the bottleneck time of the pull
the unit working time refers to the attendance time minus the waiting time generated by related activities

8.

formula: XL = 2 π fL= ω L

AC can also pass through the coil, but the inctance of the coil hinders the AC, which is called inctive reactance. The more difficult it is for alternating current to pass through the coil, the greater the inctance is, the greater the obstruction of inctance is

The frequency of alternating current is high, and it is difficult to pass through the coil, and the obstruction of inctance is also large. The experiment shows that the inctive reactance is proportional to the inctance and the frequency. If inctive reactance is represented by XL, inctance is represented by L and frequency is represented by F, then the calculation formula is: XL = 2 π fL= ω L

the unit of inctive reactance is Euro. Knowing the frequency f (Hz) of alternating current and the inctance L (H) of coil, the inctive reactance can be calculated with the above formula

The unit of inctance is "Henry (H)". We can use the special properties of current and coil to make inctors of different sizes and values to form circuit system networks with different functions

extended data:

role in the circuit

inctance: "DC, AC resistance; Pass low frequency, block high frequency "

It is known from the cause of inctive reactance that the inctive coil has no blocking effect on DC current, that is to say, "DC is connected, AC is blocked"

The expression of

is XL = 2 π FL know: inctance coil with large self inctance coefficient will have obvious inctive reactance to alternating current with small frequency, let alone high frequency alternating current. We call this kind of inctance coil low frequency choke. As long as the AC passes through the low frequency choke, it will have a greater inctive reactance, but it will not hinder the DC. That is, the low-frequency choke is "connected with DC and blocked with AC"

The inctance coil with small self inctance coefficient has little inctive reactance to the low frequency alternating current, and only when the high frequency alternating current passes through can it have obvious inctive reactance. This kind of coil is called high frequency choke. The high frequency choke "passes through the low frequency and resists the high frequency"

reference: Network --- inctive reactance

9. Pt (point, pound): is a unit of physical length, which refers to one 72nd of an inch
PX (pixel): it is a virtual length unit and a digital image length unit of a computer system. If PX is to be converted into a physical length, DPI (dots per inch) should be specified. Generally, DPI is available when scanning and printing. The default is 96 dpi for windows and 72 dpi for apple
EM (relative length unit, relative to the font size of the text in the current object): it is a relative length unit, originally referring to the width of the letter M, so it is named em. It refers to the multiple of character width, similar to percentage, such as 0.8em, 1.2em, 2em, etc. Generally, 1em = 16px
font size: it is a unique unit in the Chinese font library. It represents a specific point value Pt by Chinese code, which is easy to remember and express
the conversion formula between Pt and PX can be obtained according to the definition of PT:
when you design a web page, you can use Px, but generally, the font size is still Pt