Solution 11576: Algorithm Used for Calculating the Sine Regression On the TI-86, TI-83 Family, or TI-84 Plus Family.
...ir list for the independent and dependent variables respectively. The algorithm assumes that the kth (x,y) data pairs are related by the following formula.y(k) = a*sin(b*x(k) + c) + d, for k = 1,2,...,nwhere, n = length of the x and y lists and a,b,c,d are the SinReg parameters. In addition, opti...https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/11576
Solution 21911: nDeriv and Derivative Commands Use Different Algorithms to Compute Answers.
...d on different algorithms. While the Derivative command solves for the derivative of the function exactly, the nDeriv() command uses the following formula: (f(var+step) - f(var-step))/(2*step) Please Note: On the TI-86, replace 'step' with the tolerance variable. In general, the derivative comman...https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/21911
Solution 11842: Algorithm Used for Symbolic Integration Function on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...he TI-89 family, TI-92 family and Voyage 200? Antiderivatives are determined by substitutions, integration by parts, and partial-fraction expansion, much as described by J. Moses in "Symbolic Integration: The Stormy Decade", Communications of the ACM, August 1971, Volume 14, Number 8, pp. 548-55...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11842
Solution 11852: Algorithm for tCollect() Function on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...the results for the tCollect() function? The algorithm for the tCollect( function is defined as follows: tCollect( repeatedly uses the well-known formulas for products and integer powers of sines and cosines, such as those given in the CRC tables.Please see the TI-89 family, TI-92 family and Voy...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11852
Solution 12128: Determining the Algorithm for Calculating the Average Rate of Change on the TI-89 Titanium and Voyage™ 200 Graphing Calculators.
...lgorithm used to calculate the Average Rate of Change on the TI-89 Titanium and Voyage 200 is listed below:• avgRC(f(x),x,h) => (f(x+h)-f(x))/hThe formula being used is listed below:f(x + h) - f(x) hPlease see the TI-89 Titanium and Voyage 200 guidebooks for additional information. Solut...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/12128
Solution 11861: The d() Function Algorithm on the TI-89 Family, TI-92 Family and Voyage™ 200 Graphing Calculators.
... expression with respect to a variable. The expression can be a list or a matrix. This function uses the chain rule together with the well-known formulas for the derivatives of sums, products, sinusoids, etc. The syntax for this function is: For an Expression: d(expression, var [,order])For a ...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11861
Solution 10410: Algorithm for the Solver Function on the TI-85 and TI-86.
...ning a sign change (if it exists) or following lower function values. If the secant intersection is out of bounds or will not reduce the x-range as much as bisection, then the x-range is bisected instead. This continues until the x-range has been reduced to a very small range. For example y...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/10410
Solution 11743: Algorithm for the dotP() Function on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...he inner product is defined as followsdotP(vec1, vec2) = vec2' * vec1,where ' denotes the conjugate transpose and * represents standard matrix/vector multiplication. (Note that this definition reduces to the "usual" dot product if vec1 and vec2 are both real.) Inner products of complex vectors sa...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11743
Solution 11695: Algorithm Used to Compute a Cubic Polynomial on a TI-85, TI-86, TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...ning when a linear system is too poorly conditioned to solve accurately. Apparently, the linear system solver on the TI-89 family and TI-92 family (simult) is slightly more conservative than the one on the TI-85/86 as it determines that this linear system is "singular" (when using floating point ...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11695
Solution 11840: Implicit Multiplication on the TI-89 Family, TI-92 Family, and Voyage™ 200.
...e space is that it terminates tokens. Thus, abcd is a single name, but ab cd are two separate names, because the space caused the name parsing algorithm to stop after the b. Spaces do not directly create implied multiplication. Implied multiplication occurs when two valid factors are found in suc...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/general-information/11840
Solution 11569: Algorithm Used for Finding the Determinant of a Square Matrix on the TI-81, TI-82, TI-83, TI-85, or TI-86.
...mpute the det(A) as follows using the properties of determinants. det(A) = det(L)*det(U) The determinant of a triangular matrix can be computed by multiplying the elements along its main diagonal. Since L always has ones along its main diagonal, det(L) = 1. Now, simplify the previous equation ...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/11569
Solution 11851: Summation or Sum() Function Algorithm on the TI-89 Family, TI-92 Family, and Voyage™ 200 Graphing Calculators.
...s the algorithm for the Summation or sum() function? The sum() function uses iterated addition for numeric limits. Other sums are determined from formulas given in standard mathematical tables. Limits or special formulas are used for infinite summation limits.Please see the TI-89 family, TI-92 f...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/general-information/11851
TI-SmartView™ CE Emulator Software | Texas Instruments
...ces to lists and vice-versa List-based one- and two-variable statistical analysis, including logistic, sinusoidal, median-median, linear, logarithmic, exponential, power, quadratic polynomial, cubic polynomial and quartic polynomial regression models Three statistical plot definitions f...https://education.ti.com/en/products/computer-software/ti-smartview-ce-for-84
Solution 11210: Formula for Converting Annual Percentage Rate (APR) to Annual Effective Rate (EFF) on the BA-35 Solar.
...g is set to display 2 places. The unit does not actually use formulas for calculating problems, as one would do by hand. In most instances, an algorithm is generated that solves a particular calculation (converting APR to EFF or vice versa) as well as time value of money (TVM) and other types of ...https://education.ti.com/en/customer-support/knowledge-base/financial-calculators/product-usage/11210
TI-Nspire CX II Online Calculator | Specs | Texas Instruments
...ate eigenvalues and eigenvectors List-based one- and two-variable statistical analysis, including logistic, sinusoidal, median-median, linear, logarithmic, exponential, power, quadratic polynomial, cubic polynomial, and quartic polynomial regression models Three statistical plot definitions for s...https://education.ti.com/en/products/online-calculators/ti-nspire-cxii/specifications
TI-10 Elementary Calculator
...of a problem View hints with “guess and check” feature Scrolling/cursor keys (up, down, right, left) View up to two entries and results simultaneously Review and edit previous entries View division results as quotients with remainders or decimals One constant operations: s...https://education.ti.com/en/products/calculators/elementary-calculators/ti-10
Math by Hand App for the TI-73™ Explorer (Concept)
Reinforce how to perform the "standard algorithms" for addition, subtraction, multiplication and division with the Math by Hand App on your calculator.Reinforce how to perform the "standard algorithms" for addition, subtraction, multiplication and division with the Math by Hand App on your calculator. Students can see step-by-step details emphasizing the base-10 system, as well as the "fast math" efficient steps that help users learn and rev...https://education.ti.com/en/software/details/en/4DA91E81D9E94B3CA2F26683E38F5452/73mathbyhand
A Tour of Fascinating Sequences – Webinar | TI
...basic skills, pose questions, make conjectures, test them using coding and prove them using mathematics. These sequences are well-suited for class warmups and they can be weaved into many lessons. Download documents dFJmBwx_u7M Presenter: Ron Lancaster T³™ National...https://education.ti.com/en/t3-professional-development/for-teachers-and-teams/online-learning/on-demand-webinars/2023/mar-28-2023-a-magical-mystery-tour-of-fascinating-sequences
Music Is Math With Feelings
...h are deeply intertwined. From the numbering of the notes within a scale, to the chord numbering system, to connections between the Euclidean algorithm and rhythm, the “mathe-musical” beat goes on. In this webinar, we will join an imaginary band featuring Pythagoras, Euclid and Fibonacci. Expl...https://education.ti.com/en/t3-professional-development/for-teachers-and-teams/online-learning/on-demand-webinars/2020/apr-21-2020-music-is-math-with-feelings
On Demand T³™ Webinars
... Dynamic Geometry Using TI Technology: See What Is Possible AP® Precalculus Unit 2: Modeling With Exponential and Logarithmic Functions Using TI-Nspire™ CX Technology To Investigate Functions in Algebra II 2023 Virtual T³IC: Keynote: Powe...https://education.ti.com/en/t3-professional-development/for-teachers-and-teams/online-learning/on-demand-webinars
Exploring Music Through Mathematics and Coding on the TI-Innovator™ Hub
...he principles of musical scales discovered by the Pythagoreans to analyze musical notes mathematically Explore how to encode music (including rhythm) by representing each note with its sound frequency and duration in time Experience how computational thinking can support the problem-solvi...https://education.ti.com/en/t3-professional-development/for-teachers-and-teams/online-learning/on-demand-webinars/2019/exploring-music-through-math-and-coding-hub
Teaching and Learning with Graphing Calculators
...as "below average" by the researchers made more frequent use of a graphical approach to problems (in contrast to a trial-and-error approach or algorithmic strategy) and scored significantly higher on the post-test. Reference: (Harskamp, Suhre et al. 1998; Harskamp 2000) Use on H...https://education.ti.com/en/resources/funding-and-research/research/research_teachingandlearning
On-demand Webinars
...the principles of musical scales discovered by the Pythagoreans to analyze musical notes mathematically Explore how to encode music (including rhythm) by representing each note with its sound frequency and duration in time Experience how computational thinking can support the problem-solving p...https://education.ti.com/en/t3-professional-development/webinars-and-tutorials/on-demand-webinars
Plan To Attend 2023 Virtual T3IC | Texas Instruments
...the Course Including the AP® Exam, Technology Use and Resources” (Panel discussion) Polynomial and Rational Functions Exponential Functions, Logarithmic Functions and Regression Trigonometric and Polar Functions Get the AP® Precalculus session details AP® Calculus strand...https://education.ti.com/en/bulletinboard/2023/plan-to-attend-2023-virtual-t3ic
Helping Students Save for Retirement | Texas Instruments
... it wouldn’t be fair for us not to mention Garry Beckham, Harold’s son-in-law. For the past 33 years, they have worked together to improve the algorithms and methodology. Garry is also a retired U.S. Air Force officer and flew F-4 fighter jets during his career. The images above depict Garry with...https://education.ti.com/en/bulletinboard/2023/retirement-planning-program