Chapter 1. Arithmetics
... The statement is read “a is to b as c is to d” and we call a and d the extremes, b and c the means, and d is the fourth proportional. Proportions are treat as equations involving fractions. We may perform all the operations on them that we do on equation, and many of the resulting properties may alr ...
... The statement is read “a is to b as c is to d” and we call a and d the extremes, b and c the means, and d is the fourth proportional. Proportions are treat as equations involving fractions. We may perform all the operations on them that we do on equation, and many of the resulting properties may alr ...
CCSS.Math.Content.1.OA.A.1 Use addition and subtraction within
... numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For exampl ...
... numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For exampl ...
van der Velden Willem, 2013, Making Maths Meaningful
... Maths, but somewhere down the line, already in primary school or later in high school, drop the ball. One of the main reasons for this pattern is that teaching and learning mathematics is often mainly about how to find answers, not how to understand the mathematical principles that lie behind the an ...
... Maths, but somewhere down the line, already in primary school or later in high school, drop the ball. One of the main reasons for this pattern is that teaching and learning mathematics is often mainly about how to find answers, not how to understand the mathematical principles that lie behind the an ...
Full text
... each of these may be called "the greatest") of fn(x19 x29 x3, xh) must get smaller within three steps for all n. Hence, after a finite number of steps (such as m)9 fm(x19 x2, x39 xh) = (N59 N6, N79 NQ)9 where N59 N69 N79 NQ are even integers and either N5=N6=N7=N8=2t for some integer t >_ 3, or max{ ...
... each of these may be called "the greatest") of fn(x19 x29 x3, xh) must get smaller within three steps for all n. Hence, after a finite number of steps (such as m)9 fm(x19 x2, x39 xh) = (N59 N6, N79 NQ)9 where N59 N69 N79 NQ are even integers and either N5=N6=N7=N8=2t for some integer t >_ 3, or max{ ...
Unit_III
... Design a double-stub shunt tuner to match a load impedance ZL=60-j80 Ω to a 50 Ω line. The stubs are to be open-circuited stubs and are spaced λ/8 apart. Assuming that this load consists of a series resistor and capacitor and that the match frequency is 2GHz, plot the reflection coefficient magnitu ...
... Design a double-stub shunt tuner to match a load impedance ZL=60-j80 Ω to a 50 Ω line. The stubs are to be open-circuited stubs and are spaced λ/8 apart. Assuming that this load consists of a series resistor and capacitor and that the match frequency is 2GHz, plot the reflection coefficient magnitu ...
New York Journal of Mathematics Diophantine approximation with primes and
... We prove Theorem 1 using the Davenport-Heilbronn version of the HardyLittlewood method. Along the way, we make use of some of the new ideas of Heath-Brown and Puchta [9]. Because of the nature of the available estimates for exponential sums over powers of two, it is not possible to apply the method ...
... We prove Theorem 1 using the Davenport-Heilbronn version of the HardyLittlewood method. Along the way, we make use of some of the new ideas of Heath-Brown and Puchta [9]. Because of the nature of the available estimates for exponential sums over powers of two, it is not possible to apply the method ...
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.