Plane 1 10 3

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4-4 Skills Practice (–4, 2), y = x 3 9. (–4, 3), y = 1 2 𝑥 – 6 10. RADAR On a radar screen, a plane located at A(–2, 4) is flying toward B(4, 3). Another plane, located at C(–3, 1), is flying

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17. Comparison of simulated and measured radiation patterns of the proposed antenna (a) H-plane at 1.8 GHz (b) E-plane at 1.8 GHz (c) H-plane at 2.45 GHz (d) E-plane at 2.45 GHz (e) H-plane at 5.8 GHz (f) E-plane at 5.8 GHz. Figure 18. 3D radiation patterns of the wearable textile antenna: (a) 1.8 GHz, (b) 2.45 GHz, (c) 5.8 GHz. Figure 18. 3D radiation patterns of the wearable textile antenna: (a) 1.8 GHz, (b) 2.45 GHz, (c) 5.8 GHz. Figure 19. Comparison of measured radiation patterns in different bending scenarios (at 25 mm, 35 mm, and 45 mm) (a) H-plane at 1.8 GHz (b) E-plane at 1.8 GHz (c) H-plane at 2.45 GHz (d) E-plane at 2.45 GHz (e) H-plane at 5.8 GHz (f) E-plane at 5.8 GHz. Figure 19. Comparison of measured radiation patterns in different bending scenarios (at 25 mm, 35 mm, and 45 mm) (a) H-plane at 1.8 GHz (b) E-plane at 1.8 GHz (c) H-plane at 2.45 GHz (d) E-plane at 2.45 GHz (e) H-plane at 5.8 GHz (f) E-plane at 5.8 GHz. Figure 20. Simulated vs. measured efficiency of the proposed wearable antenna. Figure 20. Simulated vs. measured efficiency of the proposed wearable antenna. Figure 21. Simulated average SAR distribution on the cuboid phantom: at (a) 1.8 GHz (b) 2.45 GHz (c) 5.8 GHz. Figure 21. Simulated average SAR distribution on the cuboid phantom: at (a) 1.8 GHz (b) 2.45 GHz (c) 5.8 GHz. Figure 22. Link margin between Tx (proposed ant.) and Rx (monopole ant.) antennas at 1.8/2.45/5.8 GHz frequency bands. Figure 22. Link margin between Tx (proposed ant.) and Rx (monopole ant.) antennas at 1.8/2.45/5.8 GHz frequency bands. Table 1. Proposed antenna and previously reported textile antennas. Table 1. Proposed antenna and previously reported textile antennas. Ref. (Year)[19](2020)[20](2021)[21](2022)[22](2022)[23](2023)This WorkArea(mm2)65 × 6060 × 6060 × 6055 × 4084 × 6960 × 60Area(λ02)0.18 × 0.17(0.03)0.49 × 0.49(0.24)0.64 × 0.64(0.41)1.46 × 1.06(1.55)0.55 × 0.67(0.37)0.36 × 0.36(0.13)Frequency (GHz)0.868/2.452.45/3.452.4/3.32/3.93/5.882.4/51.8/2.45/5.8B.W. (%)NG/3.54.9/6.73.7/5.7/5.85/9.813.15/7617.2/39.1/19.6Peak gain (dBi)NG/−1.46.7/8.9−0.81/−2.81/−1.16/2.85.27.23.7/5.3/9.6SAR (W/Kg)1 gm/10 gmNG0.1/0.04(at 0.5 W)0.11/0.33(at 1 W)0.7/---(at 1 W)NG0.0796/0.07590.0575/0.05520.0226/0.0204(at 1 W) Table 2. Antenna’s design parameters (in mm). Table 2. Antenna’s design parameters (in mm). SymbolValueSymbolValueSymbolValueSymbolValueL60L718WF3.6X118.5LP50L813W1–W66.0X234.5LF15L918W705X321.0L125L1012W811X417.0L209L113.0W903X57.5L303L1208W1011Y14.0L407L1338W1103Y2–Y45.0L503W60W1206 L63.5WP40W1331 Table 3. Boresight peak gain values (dBi). Table 3. Boresight peak gain values (dBi). Frequency(GHz)Simulation(Chest Phantom)Measured(on Human Chest)1.83.72.82.455.34.65.89.68.2 Table 4. Boresight peak gain values (dBi) at different bending radii: 45 mm, 35 mm, and 25 mm. Table 4. Boresight peak gain values (dBi) at different bending radii: 45 mm, 35 mm, and 25 mm. Frequency (GHz)At 45 mmAt 35 mmAt 25 mm1.82.12.00.2 2.454.54.63.25.88.28.17.8 Table 5. Maximum SAR of the proposed antenna (at 1 W input power). Table 5. Maximum SAR of the proposed antenna (at 1 W input power). Frequency(GHz)Maximum SAR (on Phantom)1 gm10 gm1.80.07960.07592.450.05750.05525.80.02260.0204 Table 6. Link budget parameters. Table 6. Link budget parameters. Transmitter Frequency (GHz)1.8/2.45/5.8GtAntenna gain (dBi)3.7/5.3/9.6PtTransmitted power (dBm)16 EIRP (dBm)19.7/21.3/25.6ReceiverGrReceiver antenna gain (dBi)(external antenna)2.15ToAmbient temperature (K)293 Boltzmann constant1.38 × 10−23NoNoise power density (dB/Hz)−203.9Signal qualityBrBit rate (Mbps)0.250, 1, 10 Eb/NoIdeal PSK (dB)9.6GcCoding gain (dB)0GdFixing deterioration (dB)2.5 Disclaimer/Publisher’s Note: The statements, opinions and data contained in 4-4 Skills Practice (–4, 2), y = x 3 9. (–4, 3), y = 1 2 𝑥 – 6 10. RADAR On a radar screen, a plane located at A(–2, 4) is flying toward B(4, 3). Another plane, located at C(–3, 1), is flying Booster Performance License for 4430 Series Router for up to 3.4 Gbps CEF* FL-44-BOOST-K9 (=) Booster Performance License for 4450 Series Router for up to 3.8 Gbps CEF* FL-4460-BOOST-K9 (=) Booster Performance License for 4460 Series Router for up to 10 Gbps CEF* * Test results for IP Routing (CEF) @ IMIX Ordering information The Cisco ISR 4000 Family is orderable and shipping. To place an order, refer to Table 9 below and visit the Cisco Ordering Home Page. Table 9. Cisco ISR 4000 Series ordering information Product Name Product Description ISR4461/K9 Cisco ISR 4461 with 4 onboard GE, 3 NIM slots, 1 ISC slot, 3 SM slots, 8 GB Flash Memory default, 2 GB DRAM default (data plane), 4 GB DRAM default (control plane) ISR4451-X/K9 ISR 4451 with 4 onboard GE, 3 NIM slots, 1 ISC slot, 2 SM slots, 8 GB Flash Memory default, 2 GB DRAM default (data plane), 4 GB DRAM default (control plane) ISR4431/K9 ISR 4431 with 4 onboard GE, 3 NIM slots, 1 ISC slot, 8GB Flash Memory default, 2 GB DRAM default (data plane), 4 GB DRAM default (control plane) ISR4351/K9 ISR 4351 with 3 onboard GE, 3 NIM slots, 1 ISC slot, 2 SM slots, 4 GB Flash Memory default, 4 GB DRAM default ISR4331/K9 ISR 4331 with 3 onboard GE, 2 NIM slots, 1 ISC slot, 1 SM slots, 4 GB Flash Memory default, 4 GB DRAM default ISR4321/K9 ISR 4321 with 2 onboard GE, 2 NIM slots, 1 ISC slot, 4 GB Flash Memory default, 4 GB DRAM default ISR4221/K9 ISR 4221 with 2 onboard GE, 2 NIM slots, 1 ISC slot, 8 GB Flash Memory default, 4 GB DRAM default ISR4221X/K9 ISR 4221 with 2 onboard GE, 2 NIM slots, 1 ISC slot, 8 GB Flash Memory default, 8 GB DRAM default For additional product numbers, including the Cisco 4000 Family bundle offerings, please contact your local Cisco account representative. To place an order, visit the Cisco Ordering Home Page. To download software, visit the Cisco Software Center. Integrated Services Router Migration Options The Cisco ISR 4000 Family is included in the standard Cisco Technology Migration Program (TMP). Refer to and contact your local Cisco account representative for program details. Warranty information The Cisco ISR 4000 Series Integrated Services Routers have a 90-day limited liability warranty. Product sustainability Information about Cisco’s Environmental, Social and Governance (ESG) initiatives and performance

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User6764

17. Comparison of simulated and measured radiation patterns of the proposed antenna (a) H-plane at 1.8 GHz (b) E-plane at 1.8 GHz (c) H-plane at 2.45 GHz (d) E-plane at 2.45 GHz (e) H-plane at 5.8 GHz (f) E-plane at 5.8 GHz. Figure 18. 3D radiation patterns of the wearable textile antenna: (a) 1.8 GHz, (b) 2.45 GHz, (c) 5.8 GHz. Figure 18. 3D radiation patterns of the wearable textile antenna: (a) 1.8 GHz, (b) 2.45 GHz, (c) 5.8 GHz. Figure 19. Comparison of measured radiation patterns in different bending scenarios (at 25 mm, 35 mm, and 45 mm) (a) H-plane at 1.8 GHz (b) E-plane at 1.8 GHz (c) H-plane at 2.45 GHz (d) E-plane at 2.45 GHz (e) H-plane at 5.8 GHz (f) E-plane at 5.8 GHz. Figure 19. Comparison of measured radiation patterns in different bending scenarios (at 25 mm, 35 mm, and 45 mm) (a) H-plane at 1.8 GHz (b) E-plane at 1.8 GHz (c) H-plane at 2.45 GHz (d) E-plane at 2.45 GHz (e) H-plane at 5.8 GHz (f) E-plane at 5.8 GHz. Figure 20. Simulated vs. measured efficiency of the proposed wearable antenna. Figure 20. Simulated vs. measured efficiency of the proposed wearable antenna. Figure 21. Simulated average SAR distribution on the cuboid phantom: at (a) 1.8 GHz (b) 2.45 GHz (c) 5.8 GHz. Figure 21. Simulated average SAR distribution on the cuboid phantom: at (a) 1.8 GHz (b) 2.45 GHz (c) 5.8 GHz. Figure 22. Link margin between Tx (proposed ant.) and Rx (monopole ant.) antennas at 1.8/2.45/5.8 GHz frequency bands. Figure 22. Link margin between Tx (proposed ant.) and Rx (monopole ant.) antennas at 1.8/2.45/5.8 GHz frequency bands. Table 1. Proposed antenna and previously reported textile antennas. Table 1. Proposed antenna and previously reported textile antennas. Ref. (Year)[19](2020)[20](2021)[21](2022)[22](2022)[23](2023)This WorkArea(mm2)65 × 6060 × 6060 × 6055 × 4084 × 6960 × 60Area(λ02)0.18 × 0.17(0.03)0.49 × 0.49(0.24)0.64 × 0.64(0.41)1.46 × 1.06(1.55)0.55 × 0.67(0.37)0.36 × 0.36(0.13)Frequency (GHz)0.868/2.452.45/3.452.4/3.32/3.93/5.882.4/51.8/2.45/5.8B.W. (%)NG/3.54.9/6.73.7/5.7/5.85/9.813.15/7617.2/39.1/19.6Peak gain (dBi)NG/−1.46.7/8.9−0.81/−2.81/−1.16/2.85.27.23.7/5.3/9.6SAR (W/Kg)1 gm/10 gmNG0.1/0.04(at 0.5 W)0.11/0.33(at 1 W)0.7/---(at 1 W)NG0.0796/0.07590.0575/0.05520.0226/0.0204(at 1 W) Table 2. Antenna’s design parameters (in mm). Table 2. Antenna’s design parameters (in mm). SymbolValueSymbolValueSymbolValueSymbolValueL60L718WF3.6X118.5LP50L813W1–W66.0X234.5LF15L918W705X321.0L125L1012W811X417.0L209L113.0W903X57.5L303L1208W1011Y14.0L407L1338W1103Y2–Y45.0L503W60W1206 L63.5WP40W1331 Table 3. Boresight peak gain values (dBi). Table 3. Boresight peak gain values (dBi). Frequency(GHz)Simulation(Chest Phantom)Measured(on Human Chest)1.83.72.82.455.34.65.89.68.2 Table 4. Boresight peak gain values (dBi) at different bending radii: 45 mm, 35 mm, and 25 mm. Table 4. Boresight peak gain values (dBi) at different bending radii: 45 mm, 35 mm, and 25 mm. Frequency (GHz)At 45 mmAt 35 mmAt 25 mm1.82.12.00.2 2.454.54.63.25.88.28.17.8 Table 5. Maximum SAR of the proposed antenna (at 1 W input power). Table 5. Maximum SAR of the proposed antenna (at 1 W input power). Frequency(GHz)Maximum SAR (on Phantom)1 gm10 gm1.80.07960.07592.450.05750.05525.80.02260.0204 Table 6. Link budget parameters. Table 6. Link budget parameters. Transmitter Frequency (GHz)1.8/2.45/5.8GtAntenna gain (dBi)3.7/5.3/9.6PtTransmitted power (dBm)16 EIRP (dBm)19.7/21.3/25.6ReceiverGrReceiver antenna gain (dBi)(external antenna)2.15ToAmbient temperature (K)293 Boltzmann constant1.38 × 10−23NoNoise power density (dB/Hz)−203.9Signal qualityBrBit rate (Mbps)0.250, 1, 10 Eb/NoIdeal PSK (dB)9.6GcCoding gain (dB)0GdFixing deterioration (dB)2.5 Disclaimer/Publisher’s Note: The statements, opinions and data contained in

2025-04-16
User6408

Booster Performance License for 4430 Series Router for up to 3.4 Gbps CEF* FL-44-BOOST-K9 (=) Booster Performance License for 4450 Series Router for up to 3.8 Gbps CEF* FL-4460-BOOST-K9 (=) Booster Performance License for 4460 Series Router for up to 10 Gbps CEF* * Test results for IP Routing (CEF) @ IMIX Ordering information The Cisco ISR 4000 Family is orderable and shipping. To place an order, refer to Table 9 below and visit the Cisco Ordering Home Page. Table 9. Cisco ISR 4000 Series ordering information Product Name Product Description ISR4461/K9 Cisco ISR 4461 with 4 onboard GE, 3 NIM slots, 1 ISC slot, 3 SM slots, 8 GB Flash Memory default, 2 GB DRAM default (data plane), 4 GB DRAM default (control plane) ISR4451-X/K9 ISR 4451 with 4 onboard GE, 3 NIM slots, 1 ISC slot, 2 SM slots, 8 GB Flash Memory default, 2 GB DRAM default (data plane), 4 GB DRAM default (control plane) ISR4431/K9 ISR 4431 with 4 onboard GE, 3 NIM slots, 1 ISC slot, 8GB Flash Memory default, 2 GB DRAM default (data plane), 4 GB DRAM default (control plane) ISR4351/K9 ISR 4351 with 3 onboard GE, 3 NIM slots, 1 ISC slot, 2 SM slots, 4 GB Flash Memory default, 4 GB DRAM default ISR4331/K9 ISR 4331 with 3 onboard GE, 2 NIM slots, 1 ISC slot, 1 SM slots, 4 GB Flash Memory default, 4 GB DRAM default ISR4321/K9 ISR 4321 with 2 onboard GE, 2 NIM slots, 1 ISC slot, 4 GB Flash Memory default, 4 GB DRAM default ISR4221/K9 ISR 4221 with 2 onboard GE, 2 NIM slots, 1 ISC slot, 8 GB Flash Memory default, 4 GB DRAM default ISR4221X/K9 ISR 4221 with 2 onboard GE, 2 NIM slots, 1 ISC slot, 8 GB Flash Memory default, 8 GB DRAM default For additional product numbers, including the Cisco 4000 Family bundle offerings, please contact your local Cisco account representative. To place an order, visit the Cisco Ordering Home Page. To download software, visit the Cisco Software Center. Integrated Services Router Migration Options The Cisco ISR 4000 Family is included in the standard Cisco Technology Migration Program (TMP). Refer to and contact your local Cisco account representative for program details. Warranty information The Cisco ISR 4000 Series Integrated Services Routers have a 90-day limited liability warranty. Product sustainability Information about Cisco’s Environmental, Social and Governance (ESG) initiatives and performance

2025-04-10
User3759

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2025-04-16
User7517

Section formula,We know that the coordinates of the point R, which divide the line segment joining two points, P (x1, y1, z1) and Q (x2, y2, z2), externally in the ratio m: n, are given byUpon comparing, we havex1 = -2, y1 = 3, z1 = 5;x2 = 1, y2 = -4, z2 = 6 andm = 2, n = 3So, the coordinates of the point which divide the line segment joining the points P (– 2, 3, 5) and Q (1, – 4, 6) in the ratio 2: 3 externally are given by∴ The coordinates of the point which divides the line segment joining the points (-2, 3, 5) and (1, -4, 6) are (-8, 17, 3).2. Given that P (3, 2, – 4), Q (5, 4, – 6) and R (9, 8, –10) are collinear. Find the ratio in which Q divides PR.Solution:Let us consider Q divides PR in the ratio k: 1.By using the section formula,We know that the coordinates of the point R, which divides the line segment joining two points, P (x1, y1, z1) and Q (x2, y2, z2), internally in the ratio m : n, are given byUpon comparing, we havex1 = 3, y1 = 2, z1 = -4;x2 = 9, y2 = 8, z2 = -10 andm = k, n = 1So, we have9k + 3 = 5 (k+1)9k + 3 = 5k + 59k – 5k = 5 – 34k = 2k = 2/4= ½Hence, the ratio in which Q divides PR is 1: 2.3. Find the ratio in which the YZ-plane divides the line segment formed by joining the points (–2, 4, 7) and (3, –5, 8).Solution:Let the line segment formed by joining the points P (-2, 4, 7) and Q (3, -5, 8) be PQ.We know that any point on the YZ-plane is of the form (0, y, z).So now, let R (0, y, z) divide the line segment PQ in the ratio k: 1.Then,Upon comparing, we havex1 = -2, y1 = 4, z1 = 7x2 = 3, y2 = -5, z2 = 8 andm = k, n = 1By

2025-04-15

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