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One-to-one Correspondence : Suppose you are given a certain number of cups and saucers, and are asked to find out whether there are enough saucers for all the cups. How would you do this? By counting the number of cups and saucers, of course ! But what if you do not know how to count? Can you still answer the question? Yes, by matching (or pairing) each cup with a saucer. This means that you set up the cups and saucers in one-to-one correspondence with each other. Thus, pairing 'is simpler than counting, and is basic to it. You may have come across a situation similar to the following one, when interacting with preschoolers who are learning how to count.
Intervals which extend indefinitely in both the directions are known as unbounded intervals. These are written with the aid of symbols +∞ and - ∞ . The various types
Evaluate the volume and surface area of a rectangular solid: Calculate the volume & surface area of a rectangular solid along with a = 3", b = 4", & c = 5". Solution:
What is Trigonometric Ratios ? Trigonometry, a branch of mathematics, is based on the ratios known as sine, cosine, and tangent. Trigonometric ratios apply only to right trian
100 plus 2
An investment manager at TD Ameritrade is making a decision about a $10,000,000 investment. There are four portfolio options available and she is looking at annual return of these
A man invests rs.10400 in 6%shares at rs.104 and rs.11440 in 10.4% shares at rs.143.How much income would he get in all??
Euler Equations - Series Solutions to Differential Equations In this section we require to look for solutions to, ax 2 y′′ + bxy′ + cy = 0 around x0 = 0. These ki
A jet flew at an average speed of 480mph from Point X to Point Y. Because of head winds, the jet averaged only 440mph on the return trip, and the return trip took 25 minutes longer
A conical vessel of radius 6cm and height 8cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just im
What is a review technique? What are its advantages and disadvantages?
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