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Yes, the total feed-line length (ladder-line, balun windings, and coax) are all transmission line, and the total length needs to avoid quarter and half-waves. Use a 1:1 current balun/choke. A 160 meter loop 20 feet high is gonna have a real low feed-point resistance, and you don’t wanna lower it further by a factor of four.

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No. Physics remains an experimental science and so it is not possible to replace experiment by a proof. Descartes tried this when he proposed his theory of propagation of light - very elegant - but it predicted incorrectly that the angle would increase for light passing into an optically denser medium.

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Proving -- Theorem : If two tangent lines intersect outside the circle, the measure of the angle formed is half the measure of the larger intercepted arc min...

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Example 1 Write the equation of a line passing through the point (−2, 0) that is perpendicular to the line y = 2x + 8. Step 1 Find the slope m of the perpendicular line. The line y = 2x + 8 has a slope of 2. Use the Slopes of Perpendicular Lines Theorem (Theorem 3.14). 2 ⋅ lines is m = −1 The product of the slopes of ⊥ −1. m = − 1— 2

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Formula. Mathematically notated (see ∝): ∝ It can also be mathematically expressed as: = or as the formulation of a constant quantity: × = × The divergence of a vector field which is the resultant of radial inverse-square law fields with respect to one or more sources is everywhere proportional to the strength of the local sources, and hence zero outside sources.

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proofs for polygons. NC 2.03d Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs for circles. NC 2.04 Develop and apply properties of solids to solve problems. NC 3.01 Describe the transformation (translation, reflection, rotation, dilation) of polygons in the coordinate plane

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Mar 18, 2020 · Certainly both mathematicians have influenced my own work (for instance, Furstenberg’s proof of Szemeredi’s theorem ended up being a key influence in my result with Ben Green that the primes contain arbitrarily long arithmetic progressions); see for instance these blog posts mentioning Furstenberg, and these blog posts mentioning Margulis.
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Yes, the total feed-line length (ladder-line, balun windings, and coax) are all transmission line, and the total length needs to avoid quarter and half-waves. Use a 1:1 current balun/choke. A 160 meter loop 20 feet high is gonna have a real low feed-point resistance, and you don’t wanna lower it further by a factor of four.
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May 11, 2020 · The set of unit circles centered at these locations will intersect C in the rotations of AB by 120 degrees, plus a little more. This finishes the proof of the Lemma by Golomb’s argument. Now we can start the proof that the disk is 4-chromatic. Suppose that there is a 3-coloring. Take four points on C, each closer to the others than eps.
Use the "Measure Angle" command from the "Measurements menu" to measure each of the four angles formed by the intersecting lines. The measurements will appear in the scrollable sidebar to the left of the model as shown in figure 3.01-B. Compare the measurements of each pair of vertical angles. Apr 11, 2020 · By Staff Writer Last Updated Apr 11, 2020 3:01:21 PM ET A scale in mathematics refers to the ratio of a drawing in comparison to the size of the real object. A ratio is a relative size that represents typically two values.