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I can’t wait to Of Resignation Letter, get to work! If you have an idea to share with the Schedule Template world, you need to Contact Template In Ms Word Page), take this workshop. It will open things up for you in magical ways .” Products = next best thing to cloning YOU. When you create and launch your own products you can: Help more people in less time (finally be able to be in more than one place at the same time!) Make more moola (and, hey why not make it while you sleep, too?!) Establish yourself as a thought leader , increase your credibility, and expand your reach Make it easy for curious customers to Template, get a taste of you before investing in higher end offerings Set up your smooth sailing systems so that managing orders, product delivery, and customer service are a breeze Have something to Contact In Ms (4 Per Page) And, sell at the back of the Panel Schedule room when you do speaking gigs, workshops, or networking events, etc. (and by the way, you may get more speaking gigs once you have a product!) Attract customers, media, and The History Of Whoo Gift Set, Kits creative cohorts (I’ll tell you why having a product is the Panel Template better business card!) Have gifts on hand to build your list, offer as special bonuses, or use as prizes. “I stumbled onto The Right Brain Product Development Playground workshop… with so many creative ideas for packaging my own teachings into ebooks, ecourses, and one-on-one mentoring programs for knitters and knitting designers/authors. Projected Statement Business. I’ve been experiencing stress-free productivity and enjoying the Schedule process of creating new offerings and The History Of Whoo Special Kits growing my business non stop!” .” LEARN MY SECRETS AT AN AFFORDABLE PRICE. Here’s what you get in Panel Template, the course: Weekly pre-recorded video teachings from Jenn so you can learn her real-world product development secrets firsthand including case studies on her products for behind-the-scenes insights you can relate to Campaign: (with, (you’ll realize you’re maybe further along than you thought!)
Right-brain creative exercises and Schedule Template tools to get your fabulous product ideas out of your head and into Projected Income Statement Template | Template, the hands of your right peeps – we’ll cover Idea Generation, Content Creation, Prototyping, Packaging and Panel Production, Pricing, Smooth Sailing Systems and Launching . Of Resignation Letter. Left-brain checklists to help you anticipate and track all of the Template details An insider’s guide to Manage Marketing Campaign:, tools, resources, and services that can help you finish, launch, and sell your product Special access to a beautifully designed private site to make it easy for you to Panel Schedule Template, reference the materials (plus, it’ll give you ideas of how you can present your own content) 6 Guest Spotlight video interviews with cohorts who have launched their digital and List In Ms (4 Per And tangible products – learn from their inspiring journeys and get inside peeks into their process (past participants have said this is one of their favorite parts of the course) Access to Panel Schedule, 6 informative recorded group Q#038;A calls . Topics covered included: How to pick an idea? How to fund your idea? How to 9+ Format Letter For Employee | Farmer, find the energy to create a product? What kind of lighting to Schedule Template, use for videos? and much more. PLUS you can get these awesome Bonus Gifts: BONUS GIFT: Access to two sessions on In Ms Word Page) For Personal And, Intellectual Property: 1) a video summit interview on Intellectual Property with David Goldsmith and 2) a jam-packed Legal Q#038;A video replay with Jenn’s attorney Kiffanie Stahle. “I had a lot of ideas, but not any idea on Panel Template, how to turn these inspirations into products. I kind of felt like Humpty Dumpty.
I had a huge wall of ideas to Flyer Layout Template Vector Stock Vector, sit on, but when I got overwhelmed and slipped. I couldn’t put the pieces back together again. No matter how hard I tried. Jenn taught me that product development is Panel a language . I had to 9+ Format Letter | Farmer, learn that language to move my ideas forward, and that’s what I did after the e-course. My first product was a The Monster Chores Coloring Book, co-created with 12 other children’s book authors #038; illustrators. Jenn’s course helped me finally finish something . I no longer spend my days overwhelmed, stuck and confused.
I now know how to Template, take an idea, create a prototype for it, and List Template Page) And test how it works, to see if it’s worth pursuing . This by far, has been the Schedule most valuable part of this course. On top of learning how to package, and set up distribution channels for Flyer Layout Template Vector Brochure Stock Vector, my work, and creating a launch plan. Then actually launching. Since I’ve taken Jenn’s course I’ve launched The Monster Chores Coloring Book, A Personal Art Project called Painting Black Faces, and just recently I launched my very first Mini 5 Day E-Course, called Starved Creative. I’m also diving deeply into Panel Schedule Template, my other offerings with more confidence #038; strength now! ” You can get started right away! I KNOW HOW TO TAKE AN IDEA, MAKE IT REAL, AND MAKE MONEY WITH IT! Just so you have a sense of Contact Template In Ms Word Page) For Personal my product experience, here is an Panel Template overview of Flyer Template what I’ve created in the past few years: Wrote a best-selling and award-winning book with New World Library (it was the first time the publisher had produced a full-color book with illustrations and Panel Schedule Template photos with this level of How To Manage An Email Campaign: 5 Steps (with Pictures) complexity, making it an innovative and Schedule Template trend-setting project) and wrote a follow-up book. Design Layout Template Stock. Co-developed the Panel Schedule Template Right-Brain Business Plan® Circa Notebook with Levenger , a popular national retail and catalog company (I was of the 4 featured Thought Leaders in Levenger’s line of Circa co-branded products) Developed and led several workshops that I’ve since transformed into info and/or tangible products Packaged 3 of my most popular workshops into 2 licensing programs with facilitators worldwide Created 3 tangible product kits which have sold around the List In Ms (4 Per world Pioneered the video summit format as an Panel Template interactive and engaging way to deliver content live and through an info product Developed 2 e-books, e-Courses, a 10-month group mentorship program, and a self-paced home study program I have also contributed to and have been featured in several books, info products, and summits , so I know what goes into making and marketing a collaborative project or joint venture. YOUR PRODUCT IS WAITING TO BE BORN…
And your perfect customers are waiting to receive your gifts! Stop saying to yourself I’ll figure it out later, it’s too hard, or I don’t have time. Creating a product can actually be much easier than you think, especially if you know how to Projected Income Statement Business, get started and what to Schedule Template, watch out Letter Resume for. So, let’s get all of Schedule that great content out of your head and into the hands and hearts of the people you most want to help! It’s easier than you think. I’ll show you how. Jennifer Lee, CPCC, PCC, MA , is the founder of Artizen Coaching® and the award-winning author of List Template (4 Per Page) And The Right-Brain Business Plan: A Creative, Visual Map for Panel, Success . Her best-selling first book has helped tens of thousands of entrepreneurs around the world grow their businesses authentically and Performance Appraisal creatively. Her second book is Building Your Business the Right-Brain Way . After spending 10 years climbing the corporate ladder and getting tired of living her dream “on-the-side,” she took the leap to pursue her passions full-time. Jennifer has been featured in The Wall Street Journal, U.S. News World Report, Entrepreneur, Whole Living, Family Circle, Cloth Paper Scissors Studios, and Template Choice magazines, numerous radio shows, and on ABC7 TV. Jennifer received her coaching certification and leadership training through the prestigious Coaches Training Institute.
She is also a certified yoga instructor, a certified Expressive Arts Facilitator, and certified meditation instructor and 9+ Format Letter holds a B.A. in Panel Template, Communication Studies from UCLA and List In Ms Word (4 Per And an M.A. in Communication Management from USC. She lives in the San Francisco Bay Area with her creative, rather left-brain husband and their sweet husky-lab mix. What type of Panel Template products will we be focusing on? When we talk about products in this course, we’ll be referring to information products like e-Books, e-Courses, audio or video series, programs, summits, and tangible products like kits, books, journals, etc. that are based on your services, teachings, and intellectual property. We will not be covering handmade products or mass manufactured products. I will offer resources and Manage An Email Marketing Campaign: tips for doing basic production of tangible products like my Unfolding Your Life Vision Kit or Dream Box Kit but given that each product is different I can’t promise that we can go into specific production details for products that need to be manufactured. What if I have more than one product idea? I know many creative entrepreneurs have an overflow of ideas. Panel Template. If you have multiple product ideas, I suggest focusing on one as you go through the exercises.
It will keep things more simple and manageable for you. Once you go through the Of Whoo Samples, Special Trial Kits process for one product, it’ll be easier to Panel Schedule, repeat it again for the next. Contact Word (4 Per Page) For Personal. If you’re having trouble picking one to Panel Template, try out, we can help you with that in the course. What if I’ve been in Statement Template | Template Business, business for awhile already or if I already have a product? Even if you’ve been in business for Panel Schedule Template, awhile, launching a new product can help you grow your business and take it to 9+ Format For Employee | Farmer Resume, the next level.
If you already have a product, this course can help you create your next product as you add to the line of Template your offerings. You’ll learn how to apply Right-Brain Business Plan® tools and How To Manage (with techniques for approaching your business and product development from a fresh perspective. If you’ve been feeling bored by your business or you’ve lost connection with your authentic expression, this course will give you the creative spark you need. Since the course is Panel Template done at your own pace, there is no formal facilitation and you’ll have access to all of the materials at once. To help provide some suggested structure, however, soon after you sign-up for the course you’ll be sent e-mail prompts to guide you along the process for the next 6 weeks. Just so you’re familiar with the timing of Template when you’ll receive e-mail notifications from the course: There will be 3 e-mails per week and they will be sent out roughly every other day.
The “start” of the week will be based on Schedule, when you signed-up, not necessarily a Monday. At the beginning of each week, you’ll receive an e-mail with links to that week’s assignments. Each week will include videos, juicy reading materials, fun play sheets and creative exercises. You will also receive a mid-week and Manage An Email 5 Steps end-of-week check-in with additional exercises, and a left-brain checklist after each module. You can do all of the assignments on your own time. Anticipate spending at least 3-5 hours (or more, if you’re super gung-ho!) each week on Template, the course. You’ll get pre-recorded video teachings and detailed insider-peek materials and case studies from Employee Example, course creator, Jennifer Lee, that you can watch on your own time. You’ll get access to Schedule, 4 recorded group Q#038;A calls that were led by Circle Coach Jeremie Miller, 1 recorded call led by Income Business Jennifer Lee and Circle Coach Susan Miller, and 3 recorded group calls led by Kiala Givehand. What do I need to participate in the program? A computer, reliable Internet access, the ability to watch online videos, listen to MP3s, and view PDFs. An open heart and mind, a commitment to Panel Schedule Template, sticking through the The History Of Whoo Samples, Gift process even when you feel stuck, a generous spirit to help and support your fellow participants, and a willingness to have fun!
Optional/recommended: A copy of Jenn’s second book Building Your Business the Right-Brain Way . Schedule. While the Design Layout Stock Vector book is not required to participate in this course, we may periodically reference it to simply encourage further insight. Once you register for the course, you’ll get sent a coupon to receive 20% off a signed copy when purchased directly through Jenn. What if I can no longer participate in the course and need to cancel? The course registration fee is non refundable. Before you sign-up, please make sure you’re fully committed to Schedule, participating in and completing the course. If you need more information to help you make a solid decision, contact us with your questions. Who can I contact if I have more questions? We are more than happy to answer any other questions you may have. Please contact us at info @ artizencoaching.com and someone from the team will be in Performance, touch. Thanks for your interest.
“I’m an idea machine. Panel Template. They’re constantly churnin’, many of which are nowhere to be found out in Projected Template | Template Business, the world… yet. Jenn’s program helped me to navigate everything that’s flying around my head-space , with clarity and focus. My first product was The DIY Doggie Supplement Rack… complete with a beautiful and informative booklet (created by Schedule yours truly) and measuring spoons. Appraisal. I’m so proud of Panel my project, especially since I’m helping to improve the quality of life of List Template Word (4 Per Page) For Personal our canine compadres out there and bringing some attention to Panel Schedule Template, *their* nutritional needs (less food-like products, more real food!).
A big sincere and most hearty thanks for producing such a warm, judgment-free and inspiring space in which to In Ms Page) And, “create n’ liberate.” Stay tuned.
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Preparing Your Car Salesman Resume. A car salesman resume description includes the name, address, contact information past work experience including the dates and education. Even if you have never been a car salesman this work experience is still important and it should be included. I have included several resume templates for car salesmen that you can use to prepare your resume (see below). Projected Statement Business. I have also posted some resume samples you can use as a reference to formulate your document. Schedule Template. Of course you can have someone write your resume for you for a price, but remember you are looking to land a job selling cars. If you can’t put together a simple resume maybe you should rethink your desire to sell cars for a living.
The resume is Performance Example, your first chance to sell yourself to your prospective dealership. A quick tip here, it doesn’t need to be a book or even a chapter in a book, but it should sell you in as few words as possible. Resume Tips for Becoming a Car Salesperson. When you write your automotive sales resume follow these simple tips that are specific for the automobile industry and Panel, the way sales managers or hiring managers read resumes for future car salesmen and car saleswomen. Limit your resume to Contact List Template Word (4 Per Page) And, one page. Use quality paper for Schedule Template, printing your resume. It should be easy to read. Use bullet points and headers. Include all contact information, home phone, cell phone and email. Include computer familiarity because today’s car salesman will be using online CRM systems and email to perform the job. Vector Brochure Vector. Don’t use specific dates for work experience and education only years.
Have a friend or family member read your resume for an objective appraisal. Explain any gaps in employment. Its OK to omit some work experience when it’s over ten to fifteen years in the past and not critical to Schedule, the position for which you are applying. If you had ten jobs in the 10 years you better have a good explanation prepared. Template In Ms Word (4 Per Page) For Personal And. Don’t lie and make things up on Panel Template, your resume. Template In Ms Word (4 Per Page) For Personal. Use a template to create your car salesman resume by Schedule Template, adding your information and Flyer Layout Template Stock, then adjusting for Schedule Template, readability. Sections of a the Car Salesman Resume. Flyer Design Vector Brochure Stock Vector. Information : This section is self-explanatory you just need to include all your personal information, name, address, zip code, home phone, cell phone and email address. Objective: This section of the resume is Template, where you tell prospective employers why you are applying to work at their dealership. It should be simple and consist of one or two sentences. If you never sold cars before you should address your desire to start a car sales career.
If you have sold cars before you should be looking for a bigger, better dealer that will allow you to excel and put your sales skills to good use. Experience: This is where you will list your work experience and the years worked. The most recent will be first and the rest listed in reverse chronological order. Appraisal. If you are an experienced car salesperson you will list the Panel Schedule dealerships where you sold including the address or at least the city and state. However if you have never been a car salesman your work history is Flyer Template Vector Stock Vector, still important and should be included on Panel Schedule Template, your resume. Skills: This section will include anything that you think might be of value to a car salesperson. If you have sold automobiles in How To Manage Marketing Campaign: 5 Steps (with Pictures), the past you could list any special training that was provided by the dealer and/or auto manufacturers. Panel Schedule. Include any automaker certifications or awards you may have received or skill levels achieved. You could list average cars sold per month over Template Page) For Personal And the past year, ranking at current dealership and your average car salesman salary if appropriate. Schedule. For those of you that never sold a car in your life list any skills, experiences or special training that could be transferred over to the profession of car sales or anything skills listed in the car salesman job description. Good buzzwords to use on your car salesperson resume are consistency, positive attitude, goals, energetic, communication skills and computer skills such as Microsoft Office and email.
Education: This section contains a chronological list of How To Manage An Email (with your formal education like college, high school, tech schools and any special skills training even if it does directly pertain to Panel Template, car sales including the years completed. The History Samples, Gift Set,. References: In most cases you car resume should say “References available upon request”. However if you have some personal references in the business and especially at the dealership where you are applying for a sales position by all means include them. If you were referred by a current employee that could influence the Panel Template person that is The History Of Whoo Set, Trial Kits, doing the Panel hiring include them. If you have a recommendation letter for car salesman by all means include with your resume. When it comes to hiring car salespeople the car salesman resume will rarely be the deciding factor, but if it is easy to read and on Template Vector Brochure Vector, one page it will be read. If it contains pertinent information and it looks like it has been prepared by a potential employee that is willing to go the extra mile it will make you stand out from the crowd. Panel Schedule. Anything to improve your chances of becoming a car salesman should be worth the effort. Letter | Farmer Resume. If you have a computer with word processing capabilities you can use the salesperson resume templates below. Later Fresh Up on the Lot. Sample Car Sales Resume Examples.
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essay on conics Department of Mathematics Education. Dr. J. Wilson, EMAT 6690. A Look at the Major Contributions of Panel Template Pascal. At the age of How To An Email Campaign: (with Pictures) sixteen, Blaise Pascal wrote an Essay on Conics that so greatly impressed Descartes that he could not believe that it had been written by someone so young ( Kline 297 ). Praise from such a respected mathematician, of the time and historically, provides an indication of the level of genius of Pascal. During his short lifetime of Panel Schedule thirty-nine years, Pascal is noted for his significant contributions to mathematics, physics, and religious philosophy. Pascal#146;s mathematical work helped to provide the foundation for the modern theory of probabilities and to advance the topics of projective geometry and the calculus.
His work in How To 5 Steps Pictures) physics lead to the formulation of what is now known as Pascal#146;s law or principle. However, for a considerable part of his life, Pascal turned away from worldly issues and devoted his life to God, in which he developed a reputation as a master of prose through his religious writings ( Orcibal 1 ). Historians can only speculate what Pascal#146;s influence on mathematics and physics would have been had he not divided his pursuits between the worldly and religious, but reviewing what Pascal did accomplish allows for an interesting glimpse at a brilliant 17 th century thinker. Pascal was born in Clermont-Ferrand, France on June 19, 1623. His father was the judge of the Panel Schedule, tax court and was respected as a mathematician. His mother died in 1626 and in 1631 the Pascal family moved to Paris. Pascal displayed exceptional ability as a child, but was prone to Samples, Gift Set, sickness.
As a result, his father had him tutored at home with instructions that his studies be limited to the languages, and should not include any mathematics. Panel. However, at the age of twelve, Pascal became curious about the subject of geometry and upon hearing a general description from his tutor, began to independently study the subject with passion. His father was so struck his son#146;s display of The History Special Gift Set, talent that he gave him a copy of Panel Euclid#146;s Elements , which Pascal immediately studied and Performance Example, soon mastered. At the age of fourteen, Pascal was admitted to the weekly meetings of Mersenne, Desargues, Roberval, Mydorge, and Fermat, from which the French Academy eventually developed ( Rouse Ball 1 ). Panel Schedule Template. Thus, the stage was set for Pascal to begin to produce the major results for which he is known. Although not published until 1779, Pascal wrote an Essay on Conics in 1640, which approached the geometry of conics using projective methods. This work was instigated by Desargues who wanted Pascal to investigate the method of projection and An Email (with Pictures), section, with the particular goal of reducing the properties of the Schedule, conic sections to as few basic propositions as possible. Pascal#146;s most famous result in projective geometry came out of this work and is now called Pascal#146;s Theorem. In modern day terminology, this theorem states that if a hexagon is inscribed in a conic, the three points of intersection of the pairs of opposite sides lie in a line.
This result is Contact List Template (4 Per For Personal diagramed below in Figure 1, where points R, S, and T lie in Panel Schedule a line. Additionally, if the opposite sides of hexagon ABCDEF are parallel, points R, S, and T will line in a line at Manage Pictures), infinity ( Kline 297 ). There is not a clear record of how Pascal proved this theorem, only suggestions. Pascal states that since the theorem holds true for the circle, it must by projection and section be true of all conics. If a projection is formed of Figure 1 from a point outside the plane and then a section of Schedule Template this projection, the section will contain a conic and a hexagon inscribed in it.
Furthermore, the opposite sides of the hexagon will meet in three points that are collinear, which are the points that correspond to and the line that passes through R, S, and T. As a note, Pappus#146; theorem, Proposition 131 of Statement Template Business Book VII of Euclid#146;s Elements, is a special case of Pascal#146;s theorem. Panel Schedule. Pappus#146; theorem states that if A, B and C are three points on a line and A#146;, B#146;, and C#146; are three points on Employee Appraisal Example, another line, then lines AB#146; and A#146;B, BC#146; and B#146;C, and AC#146; and A#146;C intersect in three points that line in a line. When the conic of Pascal#146;s theorem degenerates into two lines, such as when a hyperbola degenerates into its asymptotes, then the case described by Pappus#146; theorem results. Lastly, Pascal did not consider the converse to his theorem, that if a hexagon is such that the points of intersection of its three pairs of opposite sides lie in a line, then the vertices of the hexagon lie on a conic, but it also has been proven to be true. There are many results in Schedule Pascal#146;s Essay on Conics , but the theorem that eventually came to bear his name is by far the most famous from this work ( Kline 297 ). In his projective geometry work, Pascal used two new ideas that had emerged in the field, which eventually became fundamental principles.
The first is the notion of continuous change of a mathematical entity (geometric figure) from one state to another. Pascal investigated the situation in which two consecutive vertices of the hexagon of Gift Set, Trial Kits his famous theorem approach one another so that the figure becomes a pentagon. Pascal then reasoned from properties of the hexagon to properties of the pentagon by considering what happened to these properties under the continuous change. He also used this process in considering the continuous change from a pentagon to a quadrilateral. The second is the notion of which properties of a mathematical entity remain invariant under a transformation. By investigating the relationships of different figures, such as the Panel Schedule, hexagon and pentagon, Pascal also sought a common approach to these figures. Although there are no existing works, Pascal supposedly deduced approximately four hundred corollaries from his theorem on the hexagon by studying the consequences of the theorem for related figures. Of Resignation Letter For Employee. As a major field of study, projective geometry was abandoned in favor of algebra, analytic geometry, and the calculus and Template, therefore, the projective results of Desargues, La Hire and Pascal were largely forgotten until a resurgence in the field occurred the Flyer Design Layout Template, 19 th century ( Kline 300 ). In 1642, at Panel Schedule, the age of List Template (4 Per eighteen, Pascal constructed the first arithmetic machine to help his father with tax computations.
The machine was, in a sense, the first digital calculator that automatically handled addition by carrying units to Schedule Template tens, tens to hundreds, etc. ( Kline 258 ). This machine brought a great deal of praise to Pascal and was dedicated to the chancellor of France in 1644 ( Orcibal 1 ). In addition, Pascal improved upon the original machine in 1650 ( Rouse Ball 1 ). Pascal also became intensely interested in scientific pursuits, which led him to carry out 9+ Format Of Resignation Letter tests based upon the theories of Galileo and Torricelli. By constructing mercury barometers and measuring air pressure, both in Paris and on a mountain top overlooking Clermont-Ferrand, Pascal replicated and extended experiments on atmospheric pressure, providing additional evidence that the Panel Schedule, weight of the air decreases as the altitude increases. Through his work, Pascal invented the syringe and the hydraulic press and helped to further studies in hydrodynamics and hydrostatics. The hydraulic press is based upon the principle that is List Template (4 Per And now known as Pascal#146;s principle or law, which states that pressure applied to a confined liquid is transmitted undiminished through the liquid in all directions regardless of the area to which the pressure is Schedule applied. Additionally, Pascal produced writings in 1647-1648 based upon his efforts on the problem of the vacuum ( Orcibal 2 ). List In Ms Page) For Personal And. It should be noted that the originality of his work in physics has been questioned, as some historians of science have described it as popularization, or even plagiarism ( Kline 296 ). In 1653, Pascal used the arithmetical triangle, now known as Pascal#146;s Triangle, to obtain the coefficients of the binomial expansion of Panel Template (a + b) n , where n is a positive integral. However, no account of his method was printed until 1665. Despite the name of the Marketing 5 Steps (with, triangle, this expansion was known by the Arabs and Chinese of the 13 th century and by Tartaglia, Stifel, and Stevin. In fact, in 1544 Stifel introduced the term binomial coefficient and Panel Schedule, demonstrated how to | Template calculate (1 + a) n from (1 + a) n-1 ( Kline 272 ). Pascal#146;s triangle, part of which is shown below in Figure 2, is Template constructed by each horizontal line being created from the Contact List Template In Ms For Personal And, one above it.
Each number in a horizontal line is equal to the sum of the numbers above and to the left of the it in the row immediately above it. For example, the fourth number in the fifth line, 35, is produced from 1 + 4 + 10 + 20. The numbers in Template each horizontal line are now referred to as figurate numbers. Template (4 Per. Numbers in the first line are called first order numbers; those in Template the second line are called second order, or natural numbers; those in the third line are called third order numbers, and so on. In general, the formula for finding the nth number in the rth row is (n + r #150; 2)! / (n #150; 1)! (r #150; 1)!. Pascal#146;s triangle, to any specified order, is produced by drawing a diagonal, where the numbers in any diagonal provide the coefficients of the Manage Marketing, expansion of a binomial. For example, the fifth diagonal contains the numbers 1, 4, 6, 4, and 1, which provide the coefficients of the expansion (a + b) 4 . Pascal was easily able to expand his triangle to Schedule Template find the binomial expansion for any (a + b) n , where n is a positive integer ( Rouse Ball 3 ). Today, Pascal#146;s triangle is usually constructed in triangular form, part of which is shown below in Figure 3. The two top rows contain the numbers 1 and 1 1, respectively, where the top row is considered to be row 0. To find any number in subsequent rows, add the two numbers above it. At the beginning and end of Marketing 5 Steps each row, place a 1. It is help think of Panel this rule for How To Manage Marketing Campaign: 5 Steps writing 1#146;s as an extension of the Schedule Template, addition rule.
To get the first 1 in any row, add the two numbers above it, but since there is only one number, consider the Income Statement Template, second number zero. Therefore, the first entry of each row is Panel 1. Following the same logic, the last entry of each row must be 1 also. An extension of the zero concept, results in a figurate number triangle, attributed to Jakob Bernoulli. This triangle is simply Pascal#146;s triangle in a square grid with zeroes entered into the empty cells. A number of mathematicians, as early as the 12 th century Indian mathematician Bhaskara, had worked on permutation and combination problems. Pascal also found that his arithmetic triangle corresponded with finding the numbers of combinations of n things taken r at a time ( n C r ), which he correctly stated to be (r + 1) (r + 2) (r + 3)#133;n / (n #150; r)! ( Rouse Ball 3 ). This means that when n is fixed and r runs from 0 to Flyer Layout Brochure Stock Vector n, the Schedule Template, successive binomial coefficients are obtained.
Pascal extended his work in combinations when Chevalier de Mere, in 1654, posed to Employee Performance Example Pascal the problem of how to divide the stake between two players of equal skill when the stake is to go to the player who first wins n points, but the play is interrupted after the Panel, first player has made p points an the second player has made q points. This problem had been posed by other mathematicians in Of Whoo Trial the past, but gained significance when Pascal communicated the problem to Fermat. Their correspondence and work on this problem marks the beginning and provided the foundation for the modern theory of probabilities ( Kline 273 ). Pascal and Fermat agreed on the solution, but independently developed different proofs. The following is a translation of Pascal#146;s proof by Panel Template Rouse Ball in his book, A Short Account of the History of Mathematics . The following is my method for determining the share of each player when, for example, two players play a game of three points and each player has staked 32 pistoles. Suppose that the first player has gained two points, and the second player one point; they have now to play for a point on this condition, that, if the first player gain, he takes all the money which is at Samples, Gift Trial, stake, namely, 64 pistoles; while, if the second player gain, each player has two points, so that there are on terms of equality, and, if they leave off playing, each ought to take 32 pistoles. Thus if the first player gain, then 64 pistoles belong to him, and if he lose, then 32 pistoles belong to Panel Schedule Template him. If therefore the players do not wish to play this game but to separate without playing it, the first player would say to the second, ``I am certain of 32 pistoles even if I lose this game, and as for Performance Example the other 32 pistoles perhaps I will have them and perhaps you will have them; the chances are equal. Let us then divide these 32 pistoles equally, and give me also the 32 pistoles of which I am certain.'' Thus the first player will have 48 pistoles and the second 16 pistoles.
Next, suppose that the first player has gained two points and Template, the second player none, and that they are about to play for a point; the condition then is that, if the first player gain this point, he secures the game and takes the 64 pistoles, and, if the second player gain this point, then the players will be in the situation already examined, in which the first player is entitled to 48 pistoles and the second to 16 pistoles. Thus if they do not wish to play, the first player would say to Contact Word (4 Per Page) For Personal And the second, ``If I gain the point I gain 64 pistoles; if I lose it, I am entitled to 48 pistoles. Give me then the 48 pistoles of which I am certain, and divide the other 16 equally, since our chances of gaining the point are equal.'' Thus the Panel Schedule Template, first player will have 56 pistoles and the second player 8 pistoles. Finally, suppose that the first player has gained one point and How To An Email Campaign:, the second player none. If they proceed to play for Panel a point, the condition is that, if the first player gain it, the players will be in the situation first examined, in which the first player is entitled to 56 pistoles; if the first player lose the Manage Marketing Campaign: 5 Steps Pictures), point, each player has then a point, and each is Schedule entitled to 32 pistoles. Thus, if they do not wish to Design Layout Template Vector Brochure Stock Vector play, the first player would say to the second, ``Give me the 32 pistoles of which I am certain, and divide the remainder of the 56 pistoles equally, that is divide 24 pistoles equally.'' Thus the first player will have the sum of 32 and 12 pistoles, that is, 44 pistoles, and consequently the second will have 20 pistoles. ( Rouse Ball 3 ) Pascal also considered similar problems when the game is won by whoever first obtains n + r points, where one player has n and the other has r points, and found that his arithmetic triangle could be used to obtain the solutions. Furthermore, Pascal#146;s result to the situation where the skill of the Panel Template, players is unequal corresponds to the general solution provided in modern textbooks on 9+ Format Of Resignation Letter | Farmer, algebra, but Pascal#146;s notation is different and less convenient ( Rouse Ball 4 ).
In 1658, Pascal made his last major contribution to mathematics through his investigation of problems of the cycloid. Schedule Template. A cycloid is defined as the Performance, curve produced by the locus of points of a point on Schedule Template, the circumference of a circle which rolls along a straight line. Historically, Galileo first brought attention to the cycloid in 1930 by How To Manage An Email Marketing 5 Steps (with his suggestion that the arches of bridges should be constructed to Panel model this curve. In 1934, Roberval calculated the area of the cycloid, and Descartes subsequently challenged him and Fermat to find its tangents. Fermat, without much difficulty, provided the solution to this problem. Various mathematicians continued to pose questions related to Employee Appraisal the cycloid, and to the surface and volume generated by its revolution about its axis, base, or the Template, tangent at its vertex, as well as other analogous questions.
Pascal published the proposed problems he had solved, including the problem of the Template | Template, positions of the centers of mass of the solids formed by the cycloid#146;s revolution, as a challenge to mathematicians, and Schedule Template, then proceeded to provide his own superior solutions ( Rouse Ball 4 ). Specifically, Pascal published results on the calculation of the area of any segment of the cycloid cut off by a line parallel to the base, the Of Whoo Samples, Special Gift Set,, centroid of the Template, segment, and the volumes of solids generated by such segments when revolved around their bases (as shown by YZ in Figure 4 below) or a vertical line (the axis of Flyer Vector symmetry). In this. work, Pascal used summation in geometrical form, as he did in his earlier work on areas under the curves of the family y = x n , to calculate areas and Panel Template, volumes ( Kline 353 ). This method of summation started with modifications of Eudoxus#146; method of Performance Appraisal Example exhaustion and Template, was also used by Roberval, Torricelli, Cavalieri, and Fermat, among others. Whereas the method of exhaustion employed different kinds of Employee Performance Appraisal rectilinear approximating figures, depending upon the curvilinear area in question, summation is based upon Template, a systematic procedure using rectangles. As the width d of the rectangles becomes smaller, the sum of the areas of the rectangles approaches the area under the curve. In the case of calculating the area under a parabola, if the bases are all d in Income Statement Template | Template Business width, and if one uses the characteristic property of the Panel Schedule, parabola, the sum is d(d) 2 + d(2d) 2 + d(3d) 2 + º + d(nd) 2 . In dealing with problems of the cycloid, Pascal had to replace the Letter Resume, characteristic property of the parabola with that of the cycloid to achieve an analogous sum in order to calculate areas and volumes ( Kline 351 ). Pascal#146;s solutions in his cycloid work are similar to those which a modern mathematician would achieve with the aid of integral calculus. By summation, he obtained what are the equivalent to the integrals of Panel Template sin f, sin 2 f, and f sin f , where one limit is 0 or p . In addition, Pascal investigated the geometry of the Letter For Employee | Farmer Resume, Archimedean spiral, which according to D#146;Alembert, established a connecting link between the geometry of Archimedes and the infinitesimal calculus of Newton ( Rouse Ball 5 ). Throughout much of Schedule his adult life, Pascal fought a personal battle between his desires in worldly pursuits and in devoting his life to God. In January of 1655, committing himself to a religious life, he entered Port-Royal and remained there until his death on August 19, 1662.
Although he never became one of the solitaires, he from Employee Performance Example, then on wrote only at their request and never again published under his own name. Panel Template. In fact, Pascal used the pseudonym of Dettonville for the publication of his cycloid work. Flyer Template Brochure Stock. Pascal produced two famous religious works, Les Provinciales and Pensees , while at Port-Royal. Les Provinciales was written in defense of Antoine Arnauld who was on trial before the faculty of theology in Paris for his controversial religious works. It played an important role in Panel Schedule Template promoting a return to Design Layout Template inner religion and helped to secure the triumph of ideas of Arnauld, which centered on the protest against the idea that the profligate could atone for continued sin by frequent communion without repentance. Panel Template. Les Provinciales is considered to have helped Catholicism to rid itself of religious laxity.
Its publication was an | Farmer Resume immediate success and has gained the Schedule, reputation of marking the beginning of modern French prose. Pensees , still a work in progress at his death, resulted from Pascal#146;s meditations on miracles and other proofs of Christianity. Design Brochure Stock. In this work, Pascal proposed his famous wager to overcome the indifference of the religious skeptic: if God does not exist, the Panel Schedule Template, skeptic loses nothing by believing him; but if he does exist, the skeptic gains eternal life by How To Pictures) believing in him ( Orcibal 2 ). Pascal#146;s writings, in a sense, demonstrate that he was at battle with himself concerning secular and holy life. His religious writings display a mathematical-like rigor, but it is clear that Pascal had ambivalent feelings about rigor. Template. Fermat, Barrow, and Appraisal Example, Pascal all recognized the looseness of Panel Schedule their work on summation, but believed that one could make precise proofs in the manner of Archimedes. How To An Email Marketing Campaign: 5 Steps. In Pascal#146;s published work on the problems of the Template, cycloid, he stated that the infinitesimal geometry and classical Greek geometry were in agreement and that the method of indivisibles must be accepted by any mathematician who pretend to List Word Page) For Personal rank among geometers. However, at Panel Template, times Pascal also argued that the Appraisal Example, heart intervenes to assure us of the Template, correctness of mathematical steps.
He felt that proper finesse is of higher importance than geometrical logic to Vector Brochure Stock do the correct work, just as the Panel, religious appreciation of grace is above reason ( Kline 383 ). Pascal was clearly a brilliant thinker of the 17 th century, in Performance which his work in mathematics, physics, and Template, religious philosophy significantly impacted each area of study. Historians question the originality of some of his contributions, some referring to it as popularization of others work. However, as a result of this popularization, Pascal made an important indirect contribution to each field in which he studied, namely bringing attention to the problems of the field and thereby creating interest, excitement, and advancement within those fields. Works Cited and Projected Income Statement | Template Business, Suggested Related Resources.
Kline, Morris. Mathematical Thought from Ancient to Panel Schedule Template Modern Times . New York: Oxford University Press, 1972.