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5th Lesson Introduction to Math.
Ishik University
∟‖ ∴… ∵ : ∠
Faculty of Education
Physics Department
Instructed and Prepared by: Sivar A. B.
 Used over an amount to show that this is an angle
 Example:
 A triangle of equal side with angle ∠ 60 of on of the
sides.

 Means that the angles ∠ ABC=∠CAB ∠BCA=30̊
∠ Degree
A B
C
 A triangle with one of the angles right , means that
 A =∟ Right angle =90 ̊ means ∠BAC= 90 ̊
∟ Right angle
A
B
C
 When two of the sides are parallel to each other
means the angle between these sides are zero degree
 *(0̊ )
 1- so A and D are parallel means that the angle
between them is zero degree (0̊ ) so A ‖ C, as well as
 B ‖ D
‖ Parallel to
A
B
C
D
z
 A : B means the Frobenius inner product of the
matrices A and B.
 A : B means the division of A with B (dividing A by B)
10 : 2 (ten to two) = 5
: Is to or ratio
∴ therefore, so and hence
 Sometimes used in proofs before logical
consequences.
Example:
 A ‖ D and D ‖ E ∴ A ‖ E
A
B
C
D E
 Sometimes used in proofs before reasoning.
 Example:
 x + y = 6
 ∵ x =1
 ∴ x+y=1+y=6
 y= 6-1=5
∵ Since or Because
 An ellipsis is also often used in mathematics to mean
"and so forth". In a list, between commas, or
following a comma, a normal ellipsis is used, as in:
 1,2,3, …,100.
 N is a normal set of number
 N={0,1,2, …, ∞}
… ellipsis or etc.

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4th lesson introduction to math

  • 1. 5th Lesson Introduction to Math. Ishik University ∟‖ ∴… ∵ : ∠ Faculty of Education Physics Department Instructed and Prepared by: Sivar A. B.
  • 2.  Used over an amount to show that this is an angle  Example:  A triangle of equal side with angle ∠ 60 of on of the sides.   Means that the angles ∠ ABC=∠CAB ∠BCA=30̊ ∠ Degree A B C
  • 3.  A triangle with one of the angles right , means that  A =∟ Right angle =90 ̊ means ∠BAC= 90 ̊ ∟ Right angle A B C
  • 4.  When two of the sides are parallel to each other means the angle between these sides are zero degree  *(0̊ )  1- so A and D are parallel means that the angle between them is zero degree (0̊ ) so A ‖ C, as well as  B ‖ D ‖ Parallel to A B C D z
  • 5.  A : B means the Frobenius inner product of the matrices A and B.  A : B means the division of A with B (dividing A by B) 10 : 2 (ten to two) = 5 : Is to or ratio
  • 6. ∴ therefore, so and hence  Sometimes used in proofs before logical consequences. Example:  A ‖ D and D ‖ E ∴ A ‖ E A B C D E
  • 7.  Sometimes used in proofs before reasoning.  Example:  x + y = 6  ∵ x =1  ∴ x+y=1+y=6  y= 6-1=5 ∵ Since or Because
  • 8.  An ellipsis is also often used in mathematics to mean "and so forth". In a list, between commas, or following a comma, a normal ellipsis is used, as in:  1,2,3, …,100.  N is a normal set of number  N={0,1,2, …, ∞} … ellipsis or etc.