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| Trisecting an Angle, an Interesting Historical Comparison and a Mystery. Cache Translate Page |
A correspondent, who chooses to remain nameless recently wrote me with some notes on Jost Burgi's (written in Pitiscus' Trigonometria, 1595)& and Viete's (Supplementum Geometriae, 1593 as described by Robin Hartshorne) approaches to trisecting a general angle. I was first struck by how Burgi's approach seemed to be very algebraic, while Viete, father of algebra, uses a ancient geometric approach with the neusis, (sort of a marked straight edge approach) .
In addition, even though I own Smith's 'Sourcebook', and had probably read the Pitiscus/Burgi article several times, I had never worked through his actual math. Doing so left me somewhat confused, confounded, and perhaps enlightened.
Links to both documents on the internet are below.
First, I will explain Viete's use, somewhat amplified to make it clearer to younger readers, and a bit about why he might have chosen this method. Then I will do somewhat the same with Burgi's method as presented by Pitiscus.
Viete explains clearly that he will extend the classical compass and straightedge approach by allowing, "from any point to any two straight lines, to draw a straight line cutting off between them any segment fixed in advance."
The Neusis Approach of Viete (and Archimedes)
Students who may hear about Viete's introduction of letters as variables in mathematical operations may not realize he was an excellent geometer. In fact he chose to follow a homogeneity of dimension restriction that kept him from addressing simple quadratics like x^2 -2x = 3 since it involved adding the area of a square to the length of a line. His ability to adjust such problems to become problems of proportions, so that x^2 + Zx = B^2 where the S and B were considered as known values (or pronumerals) allowed him to effect the same results. But in this case, he was seeking a solution to cubics, the so called "casus irreducibilis", and trying to avoid the use of Cardano's imaginaries (complex numbers) which were still unexplained geometrically. Caspar Wessel's paper on the geometric meaning of the complex numbers would be printed within a few years (1597) but even then, it would make hardly a ripple in the world of math outside his home country. Wessel was as much unknown as Cardano was known.
The relation of trisecting to the cubic equation \(x^3 - 3x = 2a)\) was well known, and Viete knew that with a suitable change of variables, it could be used to solve any cubic with all real roots.The method he would use dates back to the early Greeks, and was known and used by Archimedes.
I have tried to illustrate the "neusis" approach with static pictures from a very dynamic program, but teachers who are interested in making this clearer to their students can easily construct an interactive model for their students.
We begin with an isosceles triangle with a base angle at the origin and the angle to be trisected and the vertex on a circle centered at the origin. The marked ruler is represented her by the ray EG, and for our purpose has G fixed on the circle passing through the top vertex of the triangle. In use, the mathematician would lay his straightedge along one of the two congruent sides of the triangle, and mark EG so that it was the length of a side. Then holding E on the x-axis, and G on the circle, he would move the points along the respective curves until the straight edge passed through the vertex angle at C . The resulting at \(\angle \) AEG is the trisector.
For ease in seeing a simple proof, I add one drawing with a second isosceles triangle shown:
There are actually three isosceles triangles in the figure, the two shaded ones, \(\Delta \)ACH , and \(\Delta \)AGE and the one between them \(\Delta \)CAG. If we label the \( \angle \) CAH to be trisected as y, then it's supplementary angle, \( \angle \) CAE is 180 - y. Now if we call the equal angles \( \angle \)AEG and \( \angle \)GAE each x, then the exterior angle \( \angle \)AGC to this isosceles triangle must be 2x, as must it's base angle partner \( \angle \)ACG. This leaves \( \angle \) CAG as 180 - 4x. Adding back the value x at \( \angle \)GAE means that \( \angle \)CAE is equal to 180 - 3x, but we already know it is equal to 180-y, so y=3x as we sought.
Burgi Using Brahmagupta's theorem and double false position.
Writing at the same time, Pituscus describes Jost Burgi's approach with a much more algebraic or arithmetical approach. They will create a complex construction involving Brahmagupta's theorem for inscribed quadrilaterals, then make an two educated guess of the trisecting angle's chord, then use the errors and a linear approximation technique called the rule of double false position to find the chord of the trisected angle. The idea of double false position as used by Piticus/Burgi is almost certainly worth showing to students for the historical value alone. Fibonacci described double false position in his well know “Liber Abaci” , using it's Arabic name, and says the method is the one “by which the solutions of nearly all problems are found." I would think a simple illustration to students is essential before exposing them to the approach used by Burgi and is well within the grasp of any student who has worked with linear equations.
Double False Position
Here is an example using a linear equation for which the method is exact. For non-linear functions, like the trigonometric functions, it serves as a method of approximation.
Suppose we take a simple expression like 5x-3 = 7 and have no idea how to solve it. We might begin with a guess of x=1. Trying that out we get 5(1)-3 = 2, an error that is five too low, or -5. We decide to guess larger, and try x=4. This time 5(4)-3 gives us 17, which is 10 above our target. The method of double false position was to take the cross products of each trial value, and the opposite error, and find their difference, then divide the result by the difference in the errors. If we label the x values x1 and x2 and the errors e1 and e2, then the equation can be written as \( \frac{x_1 * e_2 - x_2 * e_1}{e_2 - e_1}\). If we apply this to the trials above we get \( \frac{1 * 10 - 4 * (-5)}{10 - (-5)}\), and to none of our surprise, it tells us the correct value of x was 2.
As to why Burgi would have used this approach, when he might have used the much simpler neusis method of Archimedes and Viete, I think it was a matter of focus. Burgi was an astronomer and precision clock maker who had just before this writing, made an astronomical clock which was based on the Copernican system, and along the way created a table of sines (chord lengths) for astronomical use, his Canon Sinuum which seems not to have been published. Burgi had independently invented logarithms, almost certainly prior to Napier, as an aide to his computations. I believe that Burgi, and Pitiscus use of Burgi in his Trigonometria, was for the purpose of computing chord lengths for Sine Tables. To obtain more accurate chord lengths, astronomers increased the radius of their calculating circles to seven or more digits. In the time before decimals were common (although Viete supposedly, "... wrote decimal fractions with the fractional part printed in smaller type than the integral and separated from the latter by a vertical line." ) the use of a large radius allows the use of a chord to be expressed with greater accuracy and in integer values. When Pitiscus uses 5176381 for the chord length of a 30o arc, he is giving what we would now write as .5176381 for 2 sin(15o).
Burghi's Use of Brahmagupta's Thm
Burgi realized that if you start with the chord of an angle (in this case, the chord of AB in \( \angle \)ADB) and double the angle by adding another chord of the same length, (BC, thus making \( \angle \) ADB congruent to \( \angle \)BDC, and the chord of \( \angle \) ADC would be AC). Then with one more congruent chord (CD) we have the chord of triple the arc of AB, and thus an angle AD is the chord for an angle three times \( \angle \) ABD (you can pick the point P for this APD anywhere on the arc AD).
With this groundwork, Burgi recognized that the four points form an inscribed quadrilateral, and so Brahmagupta's theorem would apply. That is, in this case, AC * BD = AB*CD + AD * BC. But since AB = BC = CD, and AC = BD we can rewrite that as \( AC^2 = AB^2 + AB * AD \). And by a little algebra we arrive at \( \frac{AC^2 - AB^2}{AB} = AD \)
Now to trisect the angle, we will be able to construct the chord AD from the given angle, and we want to find the length of the chord that would subtend 1/3 of that angle, that is, the length of AB.
The Mystery
As this point, Pitiscus says to, take a third of the chord, add something to it (the chords of the three equal angles are simply longer than the chord of the triple angle, so we must have something a little larger), and use the method of problem 3 (Brahmagupta's thm) to compute the given chord. He knows this will have some error, and so he will repeat it again to get a second error and use the method of double false position to find a close approximation. But...... I can see no way he knew AC, or AC2 . If we are building a table of chords, and we knew AC or AC2 and hence the chord of 2/3 of the angle, we would have bisected this angle to begin with rather than trisecting the original angle since such a method was known at least as early as Hipparchus . And Burgi was an expert in prosthaphaeresis, the use of combining addition and subtraction of products to sums and is often credited with inventing at least two of them. How could we... how could HE carry out this operation?
Doubt and Suspicion (or guesses and wild conjectures)
Immediately after the explanation of this problem, he gives "another method by algebra" and described the relation which in modern language would be x^3-3x =2a. Written in terms of chord lengths this would be crd3δ = 3crdδ−crd3 δ which might have been known as early as Ptolemy, and which Burgi and Pitiscus both well knew.
For the example of a 30o inscribed angle, we know that the chord length is about .5176381 (or 2 sin(15o) . Burgi's approach is to guess that the chord of 1/3 the arc is a little more than 1/3 this number, and he chooses .173 as his first guess. Letting this be x in the expression \( f(x) = 3x - x^3 \) which I now suspect is what he did, we arrive at .5138223 (Burgi / Pitiscus use this number without decimal points, as explained before) .
Since he intends to use the method of double false position, he picks a second guess (.174) and gets a second estimate for his triple chord, .5167320
He arrives at an estimate using the double false position method of .1743114.
You might compare this to the actual value of 2 sin (5o) to compare. The error depends on how close the original guesses were, since the chord lengths are not linear.
Testing Alternatives
What if we try to follow the approach using Brahmagupta's formula to get the values? Beginning with .173. We have to find a way to tease out a guess for AC from this. Since \( \Delta \) ABC is isosceles, with Arcs AB and BC both being 10 o arcs, the inscribed angles \( \angle \) BAC and \( \angle \) BCA are both 5,sup>o
leaving 170 degrees for \( \angle \) ABC. Using my very modern calculator I arrive at a length for AC2 of .1206146401. When this and .173 are used in the Brahmagupta formula, we get .5241944515; not miles away from the .5138... result he found, but obviously not the approach he used.
I tried a few other things as well and all were as far, or farther away from Pitiscus' value than this, and none seem to get me very close to his result other than the cubic. I would love to hear some other approaches to how he might have done this other than the cubic.
And my special thanks to my unnamed correspondent for his note, sending me on several interesting days of exploration and study. Now on to write about the other ways of trisecting an angle.
Robin Hartshorne Paper on Viete https://math.berkeley.edu/~robin/Viete/construction.html
D E Smith "Piticus on Bergi's trisection of an Arc \" https://books.google.com/books?id=awAfO7Ff_z0C&q=Pitiscus+trisection#v=snippet&q=Pitiscus%20trisection&f=false
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Portland
**EEO Statement:**
We are proud to be an EEO/AA employer M/F/Disabled/Veterans. We maintain a drug-free workplace and perform pre-employment substance abuse testing.
**Posting Overview:**
Audit, balance and report on the various areas of the hotel (e.g. food and beverage outlets, rooms/front desk, gift shop, etc.) to provide accurate, timely information and to ensure company and Hotel policies and procedures are followed and to prevent fraud. Responds in a professional and courteous manner to arriving, departing and in-house guests by providing accurate and timely information and services. Responds to telephone and in-person inquiries regarding reservations, hotel information and guest concerns.
**Requirements:**
**Competencies**
**Strategic Skills**
Proficient in position required job skills and knowledge. Intelligent in grasping and integrating new information. Is an active learner with a strong sense of curiosity. Has natural instincts and insight for finding the best solution to unclear situations, issues and problems. Considers multiples resources and methods for analyzing problems. Makes great decisions.
**Operating Skills**
Is effective in prioritizing work; consistently manages time and processes to create maximum efficiency with minimum disruption or redundancy. Is time sensitive, understands how work and processes fit in with other departmental or business priorities and objectives. Is able to adjust work to accommodate expected and unexpected changes. Is able to gauge progress with respect to overall impact and results.
**Courage**
Can think and act independently with confidence. Has personal fortitude and integrity when faced with challenges.
**Energy & Drive**
Energetic and takes initiative. Is pro-active and persistent in pursuing and completing tasks. Strives to exceed expectations and goals.
**Personal & Interpersonal Skills**
Welcoming and warm personality. Able to engage easily and actively connect with others. Is genuinely caring and compassionate; visibly demonstrates desire to understand others. Creates confidence and trust with others, is socially aware of self and others and is known for communicating the right message at the right time. Utilizes a variety of approaches and communication techniques tailored to each situation. Is comfortable in conversing with individuals from a variety of backgrounds and at all organizational levels. Is direct yet tactful and considerate of audience. Positively accepts and provides feedback.
**Knowledge/Skills**
Ability to operate personal computer, cash register and calculator. Ability to compile facts and figures. Telephone and guest relations etiquette and skills.
Moderate hearing required to communicate with guests. Excellent vision required for viewing of CRT screen. Excellent speech communication skills required to communicate with guests over the telephone. Excellent comprehension and literacy required for reading daily reports, numbers, etc.
**Abilities**
90% of shift is standing, Bending/kneeling - repeated bending and kneeling required while filing, Mobility - must be able to reach all areas of hotel to assist clients. Prolonged standing. Occasional carrying and lifting of files and office items up to 25 lbs.
**Education/Formal Training**
High school education or equivalent experience.
**Experience**
Accounting background preferred, but not required.
**Material/Equipment Used**
Personal computer, telephone, cash banks, calculator -approximately 90-95% of time.
**Environment**
Prolonged standing at indoor, thermostatically climate-controlled work station under florescent lighting. Work inside 95%
**Position Type:**
Full Time - Regular
**State:**
OR
**Address 1:**
515 SW Clay St
| |
| Update: Cu Parachute (Finance) Cache Translate Page |
Cu Parachute 1.7
Device: iOS iPhone
Category: Finance
Price: $2.99, Version: 1.6 -> 1.7 (iTunes)
Description:
Cu (Copper) Parachute is a powerful Monte Carlo simulation-based retirement income calculator to help you plan your financial independence. Whether you are currently in your working years, or already in retirement, you will find this to be an important tool for retirement success.
Cu Parachute will estimate the probability of success in achieving your retirement income plan by performing a complex Monte Carlo Simulation of up to 150,000 complete retirement scenarios. This will include not just the best case scenario, but the worst case, and 149,998 cases in-between.
Cu Parachute is a tool you can use to continuously monitor your retirement income plan status by updating your personalized inputs and re-evaluating your plan. Sensitivity analyses can easily be performed to better understand how to increase your plan's probability of success (i.e. how does putting off retirement 2 years affect my plan's success, how does saving an extra $1,000 a year affect my plan's success, etc.).
A successful retirement income plan will be a balance between not running out of money and living too frugally in retirement. The target success probability in Cu Parachute is between 85% and 100% and will be highlighted with a copper colored background. An 85% probability target would be for those who would like to use all of their money during retirement. A 100% probability target would be for those wanting to leave most of their money to their heirs. Your own probability of success goal may be something different depending on your risk tolerance.
App features include:
- Random selection of annual real (inflation adjusted) returns for stocks (S&P 500 Index since 1928) and bonds (10-Year Treasury Bonds from 1928-1975, US Aggregate Bond Index after 1975)
- Monte Carlo Simulation with up to 150,000 iterations of complete retirement scenarios
- Extensive sensitivity analysis capabilities
- Results screen with simulation results, inputs, and time stamp
- Ability to save full resolution screen captures of results for future reference
Cu Parachute works like this:
1. You set the 14 customizable inputs to create your initial retirement income plan and press the "Simulate" button.
2. For each of the years in your retirement plan (years to retirement + years in retirement), the app randomly selects a yearly real (inflation adjusted) return for your stock and bond portfolios and computes the ending balance for that year taking into account all of the 14 inputs you have selected.
3. The app runs through each year to the end of your retirement and determines your final ending balance if there is one.
4. This process will be repeated up to 150,000 times (150,000 complete retirement scenarios).
5. The number of iterations that the ending balance did not go to $0 will determine the probability of your plan's success.
6. Modify your inputs as often as your portfolio value changes, or other parts of your plan change and re-run the simulation.
7. Rate the app to help others discover the benefits of Cu Parachute!
Notes:
Annual Income = How much money do you need each year of retirement. If you have the Tax Rate set to 0%, your Annual Income will be before tax income. If you have the Tax Rate set to anything other than 0%, your Annual Income will be after tax income and a larger amount (to cover taxes) will be deducted each year of retirement.
Inflation Rate = The % your Annual Income will need to increase each year of retirement to keep up with inflation.
Tax Rate = An estimate of the total tax on your retirement income (Federal + State, etc.).
Social Security estimates can be obtained on the Social Security website even if you are decades away from retirement. Use estimated value in today’s dollars.
I am an engineer, not a financial professional. Everything related to this app reflects my own opinions and should not be considered financial advice.
** I hope you download Cu Parachute and discover how it can help you achieve your retirement goals **
What's New
• Added calendar year 2018 returns data
• Added required link to privacy policy in settings
• Note: Success probability may drop (< 1% or so) since inflation adjusted returns for stocks and bonds were both negative in 2018 (slightly lowering the long term average returns for both)
Cu Parachute
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| Offer - No.1 Most Trusted Dissertation & PhD Thesis Writing Service in UK - London Cache Translate Page |
 Only PhD Dissertation Writing Service & Fastest Essay Writing Service with all 5 star reviewsWhat Happens When You Register With Us?1) Use Price Calculator for getting Best Cost2) Free - Selection of a Well Thought Topic3) Team of Experienced Writers4) Free - Unlimited Number of Revisions Until the Supervisor is Satisfied5) Free - A well-thought of Power Point Presentation6) Free - Knowledge Transfer Sessions to Educate the Student About the Work Done7) Free - Write check Turnitin and Grammarly report free with final Delivery8) Free - Right from Sales to Final Delivery - Personal Manager is assigned to every client100% Confidentiality, 100% Originality. Guaranteed Grades or Refund#Dissertation #Essay #PhD #CourseworkGet Instant Quote & Order Online for Guaranteed Distinction :https://projectsdeal.co.ukKeywords:Dissertation Writing Services UKDissertation Writing ServicesDissertation HelpEssay Writing ServiceAssignment HelpCoursework Writing ServicePhD ProposalFastest PhD Thesis Help020 8123 0111https://projectsdeal.co.ukexperts@projectsdeal.co.uk10 Upper Bank Street, London, E145GHYou can add us on WhatsApp +44 7447 882377 for urgent work
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| No.1 Most Trusted Dissertation & PhD Thesis Writing Service in UK Cache Translate Page |
Only PhD Dissertation Writing Service & Fastest Essay Writing Service with all 5 star reviews
What Happens When You Register With Us?
1) Use Price Calculator for getting Best Cost
2) Free - Selection of a Well Thought Topic
3) Team of Experienced Writers
4) Free - Unlimited Number of Revisions Until the Supervisor is Satisfied
5) Free - A well-thought of Power Point Presentation
6) Free - Knowledge Transfer Sessions to Educate the Student About the Work Done
7) Free - Write check Turnitin an...
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| How to trade nifty weekly options? Cache Translate Page |
All options expire last Thursday of every month and now with the introduction of weekly options, we will now have an expiry every week. It should be noted that premium in options drops faster as one heads towards expiry. So if traded properly, it will mean even more income for an option writer. Look at this from an option writer's perspective. Assume a trade in NIFTY 11000 CE (at the money) with IV of 15 and expiry of 7 and 30 days. The options will be priced at Rs.100 and Rs.200 respectively. Note: this is approx and rounded off for convenience. Also, I am using the option calculator at vfmdirect. Assume market is rangebound. So if I write a monthly option, I will collect Rs.200 as premium income in monthly option. But if I sell a weekly option (current series), I can earn Rs.100/- EVERY week or Rs.400/- in a month. This is fantastic. For the buyer of the call, it means he will earn a profit only IF the price on expiry is ABOVE 11200 for monthly options and 11100 in case of weekly options. A safe strategy if one is expecting a rangebound market would be to: - buy 10500 CE around 500 and write 11000 CE around 100... SL 100 points in futures - buy 11500 PE around 500 and write 11000 PE around 100... SL 100 points in futures
By buying a deep ITM CE or PE, the premium (time decay factor) will be almost nil so the position becomes fully hedged. This trade can be taken every Friday in current series.
One can devise strategies depending on whether one expects to be bullish, flat / rangebound or bearish. There are hundreds of possibilities. Try the options strategy builder at http://opstra.definedge.com/strategy-builder and experiment with different strategies.
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| Update: Piper Archer PA-28 Study App (Education) Cache Translate Page |
Piper Archer PA-28 Study App 6.0
Device: iOS Universal
Category: Education
Price: $29.99, Version: 5.0 -> 6.0 (iTunes)
Description:
Piper Archer PA-28-181 Checkride & Oral Prep Study App
Piper Archer PA-28 flashcards categories:
•Aircraft General (18)
•Electrical (6)
•Engine and Prop (11)
•Flight Controls (10)
•Flight Instruments (14)
•Fuel (7)
•Landing Gear & Brakes (14)
•Limitations (40)
Piper Archer PA-28 QUIZ CATEGORIES
•Limitations and Specifications (30 Questions)
•Systems (45 Questions)
Piper Archer PA-28 CALCULATOR for FLIGHT PLANNING
~Quickly convert
•Foot-Meter
•Nautical Mile - Statute Mile
•Nautical Mile - Kilometer
•Inch - Metre
•Pound - Kilogram
•Gallon (US) - Litre
•Fahrenheit - Celsius
•Pressure inHg - hPa
•Gallons - lbs
•Knots - MPH
Piper Archer MEMORY ITEMS (Step by Step instructions for the following scenarios).
1. Engine Fire During Start
2. Engine Power Loss During Takeoff
3. Engine Power Loss In-Flight
4. Electrical Fire / Smoke in Cabin
5. Loss of Fuel Pressure
6. Alternator Failure
7. Spin Recovery
8. Carb Icing
PIPER ARCHER FILES
•PA-28 Limitations and Specs
•PA-28 Systems
•PA-28 Memory Items
•These files are printable and can be emailed or •bookmarked in the app.
COCKPIT PANELS
1. Standard instrument panel with yoke and center pedestal.
2. Aspen instrument panel with yoke and center
pedestal.
3. Avidyne instrument panel with yoke and center pedestal.
FLASHCARD search feature:
search questions and answers fast to find the keyword you need to answer a question!
ZULU TIME CLOCK
•Never worry about what time it is. A running Zulu time clock is located at the bottom of the Menu screen.
AIRPORTS & WEATHER
•Check weather from over 3,000 airports (domestic and international). Find distance in NM from TO and FROM multiple airports. Use the weather feature to access the latest METAR, TAF and other airport information. Must have WIFI or cellular connection for this feature.
•Use the GPS tracking feature for cross country flights.
PILOT FORUM
•Members of this forum can communicate with other users of the app to ask questions, network and search for jobs in the aviation community.
CUSTOM AIRCRAFT VIDEO RECORDER
•Record, save and categorize your aircraft videos.
•Record ground school, aircraft walk-arounds, and flights.
•Record and save unlimited videos.
CUSTOM AIRCRAFT FLASHCARD MAKER
• Easily make your own systems flashcards by naming the category and typing in your own question and answer.
•Create unlimited categories.
•Create unlimited questions and answers.
~Free App updates!
~No advertisements!
What's New
-fixed a bug that caused a blank white screen to appear when the user had a weak internet connection.
-adjusted panels and schematics to fit full screen.
Piper Archer PA-28 Study App
| |
| (USA-OR-Portland) Night Audit Cache Translate Page |
**13171BR**
**Req #:**
13171BR
**Why Us:**
We are looking for a Night Audit for the sophisticated, boutique luxury Hotel Modera. The independent, 174 room property is located downtown, in the center of the city’s theatre district, surrounded by fine restaurants, art galleries, museums and nightlife. Modern simplicity defines the boutique hotel, where guests gather to enjoy fresh, seasonal fare at Nel Centro, and unwind in an intimate garden courtyard framed by the city’s first living green wall. In addition, the property has 6000 square feet of flexible meeting space. The Modera was voted among the “Best Hotels in Oregon in 2017” by US News and World Report!
We offer competitive benefit package, medical/dental/vision, 401(k) matching, paid sick/vacation/holiday, hotel room/restaurant discounts, and a $50 monthly Trimet subsidy.
Bold. Bright. Caring. Energetic. Driven. To deliver the type of outstanding experience we aim to provide our guests, we need remarkable individuals who are passionate and committed to making a difference. If this sounds like you, then explore the career positions at Sage Hospitality that await you.
**Job Title:**
Night Audit
**Location Name:**
Hotel Modera
**City:**
Portland
**EEO Statement:**
We are proud to be an EEO/AA employer M/F/Disabled/Veterans. We maintain a drug-free workplace and perform pre-employment substance abuse testing.
**Posting Overview:**
Audit, balance and report on the various areas of the hotel (e.g. food and beverage outlets, rooms/front desk, gift shop, etc.) to provide accurate, timely information and to ensure company and Hotel policies and procedures are followed and to prevent fraud. Responds in a professional and courteous manner to arriving, departing and in-house guests by providing accurate and timely information and services. Responds to telephone and in-person inquiries regarding reservations, hotel information and guest concerns.
**Requirements:**
**Competencies**
**Strategic Skills**
Proficient in position required job skills and knowledge. Intelligent in grasping and integrating new information. Is an active learner with a strong sense of curiosity. Has natural instincts and insight for finding the best solution to unclear situations, issues and problems. Considers multiples resources and methods for analyzing problems. Makes great decisions.
**Operating Skills**
Is effective in prioritizing work; consistently manages time and processes to create maximum efficiency with minimum disruption or redundancy. Is time sensitive, understands how work and processes fit in with other departmental or business priorities and objectives. Is able to adjust work to accommodate expected and unexpected changes. Is able to gauge progress with respect to overall impact and results.
**Courage**
Can think and act independently with confidence. Has personal fortitude and integrity when faced with challenges.
**Energy & Drive**
Energetic and takes initiative. Is pro-active and persistent in pursuing and completing tasks. Strives to exceed expectations and goals.
**Personal & Interpersonal Skills**
Welcoming and warm personality. Able to engage easily and actively connect with others. Is genuinely caring and compassionate; visibly demonstrates desire to understand others. Creates confidence and trust with others, is socially aware of self and others and is known for communicating the right message at the right time. Utilizes a variety of approaches and communication techniques tailored to each situation. Is comfortable in conversing with individuals from a variety of backgrounds and at all organizational levels. Is direct yet tactful and considerate of audience. Positively accepts and provides feedback.
**Knowledge/Skills**
Ability to operate personal computer, cash register and calculator. Ability to compile facts and figures. Telephone and guest relations etiquette and skills.
Moderate hearing required to communicate with guests. Excellent vision required for viewing of CRT screen. Excellent speech communication skills required to communicate with guests over the telephone. Excellent comprehension and literacy required for reading daily reports, numbers, etc.
**Abilities**
90% of shift is standing, Bending/kneeling - repeated bending and kneeling required while filing, Mobility - must be able to reach all areas of hotel to assist clients. Prolonged standing. Occasional carrying and lifting of files and office items up to 25 lbs.
**Education/Formal Training**
High school education or equivalent experience.
**Experience**
Accounting background preferred, but not required.
**Material/Equipment Used**
Personal computer, telephone, cash banks, calculator -approximately 90-95% of time.
**Environment**
Prolonged standing at indoor, thermostatically climate-controlled work station under florescent lighting. Work inside 95%
**Position Type:**
Full Time - Regular
**State:**
OR
**Address 1:**
515 SW Clay St
| |
| A Developers Guide to Getting Fit Cache Translate Page |
🐰 TLDR: This article is about intermittent fasting, I do it and I Don't eat after 10pm or before 1pm. I exercise 30 mins a day (at least) and don't eat more than I ever did before during that eating window. I have lost 30 lbs of fat in one year and it's not coming back.
For the past few years I have known about a way that I could regain my control over my weight. I'm not in my twenties anymore, from as much as I know this has something to do with my metabolism which is not putting in the work to help me out as much anymore, I need to go extreme and push back.
I learned about intermittent fasting for the first time just in mention on a podcast called "Get Up and Code" by John Sonmez (@simpleprogrammer). That podcast and his other content and sometimes personal help prepared me for job hunting and a much needed career jump. I had met him at a code camp, I was giving a talk in the room before him. His talk inspired me so much, that I started devouring his podcast and other content, books whatever. I would listen to these podcasts while I was doing my other job(appraising homes) in South Florida.
I was working several days a week to train myself and because of this guy I think I had the balls to continue looking for a job after I already landed one. I remember him asking, how much are you worth, he told me, no I think you can make six figures doing development work. So I contacted another recruiter, and within days found a job in San Mateo California and I rejected the offer from a hospital in Florida in which I was suppose to start in a week. That opportunity turned into an engineering position with SolarCity and Tesla. I was already a huge Sonmez fan, I was an even bigger fan now. Then, a few years later, I heard this podcast of his: John, You're WRONG About Fasting!
This got me super pumped about fasting and I wanted to understand more about glycogen stores for some reason. fast forward a year and several Joe Rogan podcasts talking about it and researching myself, I had been out at the pool with my son and he told me that I had man-boobs. That was it, I was gong to show him. I was already a little bit shy about taking my shirt off at the pool, in fact I was trying to get some sun before a trip we were planning during the summer. I was not only trying to get a tan, but had thought about a diet or exercise regiment so that by the time June/July came around I would feel better about my appearances.
We all want to look better. It's the reason we do these things and decide to workout or get into shape. Now to be honest I had never in my life tried to get into shape. I had went to the gym a few years back but it was more of a trade off, I ate badly and had no other fitness regiment, so I figured doing some exercises each week would help me not get as out of shape. I wish I could go back to then knowing what I know now.
To make a longer story shorter, I started intermittent fasting and a simple workout regiment after researching and finding a lot of info on Joe Rogan's podcast and from a advertisement video (no shitting you) on YouTube called: The Science based Six pack.
With the information I learned from this podcast and this YouTube channel I penciled out my plan in a few hours. This plan I think could get anyone to get in shape if they do it.
I switched from a full-time engineer to Developer Advocate for Telerik/Progress. This change allowed me the freedom to train when I wanted to as I could work from home and one the weekends whatever. So I understand when people say that it's hard, but I say that if you follow this regiment it will be worth it. And I did do my first two months while I was in a full time engineering position driving to and from work. So it is possible.
I'm going to make some assumptions here and try to predict what I think *anyone can do if they subscribe to this regiment which consists of 2 things only that I commited to.
- You will eat on a time restriction (and not over eat)
- You will exercise a few days a week (potentially during your fasting time)
If you do this I think that you can...
- Lose 20 lbs in 2 months and keep it off
- Look better and see results in one month
- Save money on food
There are some people who have trouble with this regiment to to ailments like diabetes or other insulin issues. There are two types of diabetes, I am not an expert on diabetes, I know very little on the subject. If you have an ailment, consult your physician before trying this regiment. It works great fro one type of Diabetes from what I have heard and the other type of diabetes, well I'm not sure.
Back to the business!
When my son told me I had man boobs, I realized he was trying to say something to me. "Dad I'm sure there is something you can do about your extra fat". But really, in a way, he was being honest and it made me think about what I could do to reverse this train. I was heading in the wrong direction.
I'm a big fan of the Joe Rogan podcast, and I heard him speaking with Dr Rhonda Patrick . This episode of the podcast highlighted her recent success with the regiment or at least that's what I got from it.
I also have listened many times to a book, I often listen when I am facing hunger or sugar cravings, to remind me what I'm suppose to be doing and why it's completely the natural way to do things.
So I have started doing a few things:
- Don't eat after 10pm
- Don't eat before 1pm
- Exercise *three to six times a week
- Don't eat *more than I ever did before, in one day
*Exercise needs to be done, at first don't kill yourself try a few times a week. As you start gaining confidence in the regiment, let's bump that up, but never go in reverse
*As far as eating goes, I took a look at what I had been eating each day before I started my regiment and ensured and I made healthier choices or actually ate less. This can start with small changes that slowly get more healthier and eventually we start to cut one of the three meals a day completely out.
These things that I did above made it so that I could lose about 20 pounds in two months and I was learning as I went. I think you could do it faster and better, it just requires sticking to the regiment 6 days a week.
How Many Calories Per Day Should I Eat?
Above is the calculator I used to figure out how much I should eat. I found a Sweet Kale Salad and some precooked chicken at Safeway that I could prepare quickly everyday and salad dressing included fit within my guidelines, I also had to be careful at dinner not to over eat. But I could pretty much eat anything I like, just smaller portions. After doing this for a few weeks you will know if you eat more one day than the prior. It will be easy to step down (in calories) if needed also. The one thing I would highlight is that I stopped eating three meals each day, the second I got on this regiment. Except for Sundays. Sundays I eat a small breakfast, workout, eat a small lunch and a normal dinner. I abstain from fasting on this day always.
One year later I am no longer 182 lbs, I am closer to 150 (today I am 152). I have never been below 150 in probably 25 years. I think that as I start to put on muscle now, my weight is about to bottom out. I can write more about this in a few months.
Here Come Some Opinions of Mine
I think we all have unnatural hunger created by lies others have told us and we now tell ourselves. We are not meant to eat three times a day, I believe that we have become indoctrinated by large companies and even health professionals that we think eating the food pyramid and having a healthy breakfast lunch and dinner is the right thing to do. It's not. The faster we figure that out, the faster we can start to make some healthy decisions and get our bodies in check.
As a software developer, I think that the lifestyle actually lends itself to this diet if you think about it. We work in front of a computer for most of the day, we need some movement in our life. I suggest starting your day with only a few hours of work, taking a workout break, do some cardio or aerobics, treadmill whatever, then come back to work for the rest of the day. I can now get in a full days of work without eating, but I have been doing some form of intermittent fasting for almost one year. I don't expect this is possible right out of the gate unless you are a beast.
I'm a huge fan also of he is a great person to watch and get ideas (YouTube/SimpleProgrammer & YouTube/BullDogMindset) from around fitness and also he is a developer so his content is targeted specifically towards people like us.
As I said before I'm a huge Joe Rogan fan and I wanted to leave everyone with this video:
Why you should do Intermittent Fasting | Joe Rogan feat. GSP, Dr. Peter Attia, Dr. Rhonda Patrick
I hope this article inspires someone, if you have questions let me know, I would love for this blog to turn into a good resource for others trying to find their way to fitness but have struggled as a developer who works super hard everyday. How to fit it in?
Also if this article inspires you and you do something wonderful, please let us know, by us, I mean myself or any of the guys or gals I have in the resource links. Let them know if their content changes your life for the better. I hope they know how much it changed mine, thank guys and gals!
| |
| Bouw Calculator Aannemer | MTS | 2.500 - 4.000 - WR.nl Werving en Selectie - Leimuiden Cache Translate Page |
“Calculator, Uitvoerder, Projectmanager, Projectleider, Werkvoorbereider, Tekenaar, BIM Engineer, Technisch Tekenaar, Planvoorbereider, Constructeur,... €2.500 - €4.000 per maand
Van WR.nl Werving en Selectie - Tue, 20 Nov 2018 12:22:26 GMT - Toon alle vacatures in Leimuiden
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| Bouw Calculator Aannemer | MTS | 2.500 - 4.000 - WR.nl Werving en Selectie - Leimuiden Cache Translate Page |
“Calculator, Uitvoerder, Projectmanager, Projectleider, Werkvoorbereider, Tekenaar, BIM Engineer, Technisch Tekenaar, Planvoorbereider, Constructeur,... €2.500 - €4.000 per maand
Van WR.nl Werving en Selectie - Tue, 20 Nov 2018 12:22:26 GMT - Toon alle vacatures in Leimuiden
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| Re: Impact of tax (in)efficiency Cache Translate Page |
bck63 wrote: ↑Sat Feb 09, 2019 6:48 pm
I'm still a newbie and trying to figure out the impact of taxes on distributions in the Fidelity Total Market and Vanguard Total Market index funds in my taxable account.
When I compare the "return after taxes on distributions", the Fidelity Total Market Index Fund (FSKAX) 10-year return was 12.71% and Vanguard Total Market Index Fund was 12.79% -- a difference of 8 basis points (correct?). This is all new to me, but I found a handy basis point calculator which tells me that the difference is $80 per $100,000.
It's an annual cost, so it would be $800 for a 10-year investment.
It may also not match your tax situation. The standardized calculations assume the highest federal tax bracket (but ignores the 3.8% Medicare surtax) and no state tax. If you buy a fund which distributes 0.5% of its value in long-term capital gains each year, the cost to you may be 0.08% (15% tax on capital gains, no state tax) or 0.17% (20% federal tax, 3.8% Medicare surtax, 9-10% state tax).
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| Alternate Calculator 3.220 dla Windows Cache Translate Page |
Alternate Calculator to aplikacja pełniąca funkcję prostego kalkulatora z możliwością przeliczania walut.
Program oferuje podstawowe funkcje do wykonywania prostych obliczeń matematycznych. Z jego pomocą obliczymy sumę, różnicę, iloczyn i iloraz…
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| Offer - Nucleus - Jerez de la Frontera Cache Translate Page |
Passing an օvｅr-aⅼl chemistry class taҝeѕ a ցood comprehension of the fundamentals, tһｅ capacity to ɗo ѕome basic math, mаke use of a calculator f᧐r more advanced equations, and a willingness to gain familiarity ѡith a complex topic.
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