Prove that there is a cycle of length four of isoceles

Assignment Help Mechanical Engineering
Reference no: EM131240638

Each vertex of a regular 13-gon is colored either red or blue. Prove that there exist an isosceles triangle with monochromatic vertices. We colored the edges of Kg red or blue. Prove that there is a cycle of length four with monochromatic edges.

Reference no: EM131240638

Questions Cloud

Advertising elasticity and cross-price elasticity of demand : Suppose the own price elasticity of demand for good X is -2, its income elasticity is 3, its advertising elasticity is 2, and the cross-price elasticity of demand between it and good Y is -4. Determine how much the consumption of this good will chang..
Rove that there will be segment with monochromatic vertices : We color each point of the n-dimensional plane having integer coordinates red or blue. Prove that there will be a segment with monochromatic vertices whose centroid has the same color as its two endpoints.
Find a proof that only considers 2n + 1 points : Try to find a proof that only considers 2n + 1 points. (Recall that the centroid of a set of n points in a (vector) space, viewed as the vectors v1, V2, ..... , vn is the point given by the vector (vx + v2 +..............+ vn)/n.)
What would be the nonpecuniary cost of legislation : From California to New York, legislative bodies across the United States are considering eliminating or reducing the surcharges that banks impose on noncustomers, who make $10 million in withdrawals from other banks’ ATM machines. Based on this infor..
Prove that there is a cycle of length four of isoceles : Each vertex of a regular 13-gon is colored either red or blue. Prove that there exist an isosceles triangle with monochromatic vertices. We colored the edges of Kg red or blue. Prove that there is a cycle of length four with monochromatic edges.
Does this rule satisfy the condition of universal domain : Assume the individuals could either have strict preferences or be indifferent. Construct the table illustrating this rule: Does this rule satisfy the condition of Universal Domain? If not, give a counterexample.
Less willing to buy long-term bonds : Explain why you would be more or less willing to buy long-term AT&T bonds under the following circumstances:
Recruitment involves the hiring of prospective employees : Recruitment involves the hiring of prospective employees. Job analysis is a process of obtaining all pertinent job facts, and produces job descriptions and job specifications. Both overlapping responsibility and responsibility gaps should be used whe..
Prove that there are five people on the bus : There are nine passengers on a bus. Among any three of them, there are two who know each other. Prove that there are five people on the bus who know at least four of the other passengers.

Reviews

Write a Review

Mechanical Engineering Questions & Answers

  Calculate the overall aerosol mass removal efficiency for

an effluent stream consists of poly-dispersed aerosol of uniform density 1.8 gcm3. the particle size distribution is

  If a 3000 pound vehicle loses traction at 60 mph find the

18 of a tire test a tire manufacturer has painted a line on the level sufface of a large flat test area. vehicles are

  Centrifugal compressor has an impeller tip speed

A centrifugal compressor has an impeller tip speed of 366 m/s. Determine the absolute Mach number of the flow leaving the radial vanes of the impeller when the radial component of the velocity at impeller exit is 30.5 m/s and the slip factor is .9. G..

  Is the manometer reading proportional to head loss

Is the manometer reading proportional to head loss? Explain. (d) What is the friction factor of the flow?

  Design a discrete proportional plus

Design a discrete (Z-domain) proportional plus integral plus derivatives (PID) controller for the type-1 plant derived from Lab 2. The controller should satisfy the following specifications:

  Two kilograms of zinc at 500c and 1 atmosphere is

two kilograms of zinc at 500c and 1 atmosphere is contained in a thermally insulated jacket. the system is compressed

  Calculate the cycle thermal efficiency and the moisture

it is desired to study the effect of turbine inlet temperature on the performance of an ideal steam rankine cycle.

  Find the reversible amount of work per unit mass find the

the air with constant properties in a steady adiabatic flow enters a system at a pressure of 10 bars and 500 k with a

  A volcano has erupted-spewing stones and steam

A volcano has erupted, spewing stones, steam, and ash several thousand feet into the atmosphere. After some time, the particles begin to settle to the ground. Consider a nearly spherical ash particle that is 50 microns in diameter, falling in air who..

  Determine the maximum axial compressive force

A short 60-mm-diameter circular bar is made of a material for which the maximum safe compressive stress is 80 MPa and the maximum safe shearing stress is 30 MPa. Determine the maximum axial compressive force that can be safely applied.

  Derive the following a differential equation between input

the following data were observed in a step response experiment of a thermometer is under a step input from 0 degress c

  Saturated liquid water at 1 kgs and 200 kpa is mixed

saturated liquid water at 1 kgs and 200 kpa is mixed steadily with 4 kgs of water at 200 kpa and 200ordmc with the goal

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd