Algebraic Properties of set operations
The Algebraic Properties of set operations are: Idempotent laws, Identity laws, Commutative laws, Associative laws, Distributive laws, De Morgan's Laws..
Electric Circuits and Kirchhoff's Rules
In many electrical circuits, Ohm's law cannot be applied. This happens when there is more than one source of emf in the circuit or when resistors are connected in a complicated manner. To solve such complex circuits, Gustav Robert Kirchhoff developed two laws based on ..
Baye's Theorem
In the previous section, we have learnt that i) If A and B are two mutually exclusive events, then ii) Before we state and prove Baye's Theorem, we use the above two rules to state the law of total probability. The law of total probability is useful in proving Baye's theorem and..
In the previous section, we have learnt that i) If A and B are two mutually exclusive events, then ii) Before we state and prove Baye's Theorem, we use the above two rules to state the law of total probability. The law of total probability is useful in proving Baye's theorem and..Summary
De Morgan's laws Let A, B be finite sets. Then Let A,B,C be finite set..
De Morgan's laws Let A, B be finite sets. Then Let A,B,C be finite set..Elastic and Inelastic Collisions in One and Two Dimensions
A Karate expert strikes a board of mass 0.14 kg and breaks it, with his fist of mass 0.70 kg. He then does the same to a 3.2 kg concrete block. The spring constant 'k' for bending are, 4.1 x 10 4 N/m for the board and 2.6 x 10 6 N/m for the block. Breaking occurs at a deflection 'd' of 16 mm for th..
A Karate expert strikes a board of mass 0.14 kg and breaks it, with his fist of mass 0.70 kg. He then does the same to a 3.2 kg concrete block. The spring constant 'k' for bending are, 4.1 x 10 4 N/m for the board and 2.6 x 10 6 N/m for the block. Breaking occurs at a deflection 'd' of 16 mm for th..Algebra II
Absolute value to solve equations/inequalities Systems of linear equations/inequalities Operations on polynomials Factoring polynomials/trinomials Operations on complex numbers Operations on rational expressions Graphing quadratic equations Quadratic equations in complex number s..
Pressure = hdg
Liquids find their own level Figure above demonstrates this. Notice how the water fills each of the tubes to the same level. This is what we mean when we say that a liquid always finds its own level. Liquids will flow to equalise any pressure differences. Therefore the pressure at the top of each t..
Liquids find their own level Figure above demonstrates this. Notice how the water fills each of the tubes to the same level. This is what we mean when we say that a liquid always finds its own level. Liquids will flow to equalise any pressure differences. Therefore the pressure at the top of each t..Summary
A matrix is defined as a rectangular array of elements. If the arrangement has m rows and n columns, then the matrix is of order mxn (read as m by n). A matrix is enclosed by a pair of parameters such as ( ) or [ ]. It is denoted by a capital letter. Two matrices are said to be comparable if t..
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